“I have composed a tiny, tiny piano
            concerto with a tiny, tiny wisp of a scherzo.” Thus did
            Brahms describe what still remains the largest and longest
            piano concerto in the entire standard repertoire. The ironic
            comment was made in a letter to his friend Elisabet von
            Herzogenberg upon finishing the work in the summer of 1881.
            He also similarly told his friend Theodor Billroth that he
            would be sending “a few small piano pieces.” His true
            assessment of its value lies in the dedication to his
            revered teacher and adviser. The concerto is not only
            massive, but of legendary difficulty. The piano writing
            includes widely spaced chords, awkward arpeggios, brutally
            muscular trills, and other technical challenges. On the
            other hand, the relationship between piano and orchestra is
            so egalitarian that for all its unforgiving virtuosity, the
            piano part is never written as display for its own sake, and
            indeed, it can often seem almost unrewarding. For pianists with the stamina
              and skill, however, it is the equivalent of a musical
              Everest, and it has retained its status as a pinnacle of
              performing achievement. As far as its unprecedented
              proportions are concerned, the most obvious reason for
              this is the inclusion of a fourth movement when for nearly
              two centuries the standard number for a concerto was
              three. In the context of the overall form, however, it
              results in a satisfying balance. The transfer of the
              scherzo movement type to a solo concerto was a novelty
              Brahms could not resist. This is no lighthearted dance
              movement, but one of demonic, elemental force. Placing it
              in second instead of third position, however, resulted in
              criticism of the entire work as “top heavy.” Indeed,
              Brahms employs trumpets and timpani in the first two
              movements but not in the last two. Not bringing them back
              for the finale was extremely unusual. The orchestra itself
              is of the typical size, with four horns and very sparing
              use of the piccolo. The concerto has connections to both
              his previous works in the genre. The Violin Concerto, published two
              years earlier, was originally designed to be in four
              movements, and he transferred the concept (and apparently
              some of the musical ideas) to this work. In addition, the
              structures of the two finale movements show particular
              parallels, especially the extended coda in a faster tempo
              with an often implied 6/8 meter. The First Piano Concerto was
              published 20 years earlier, and despite the huge gap in
              time and maturity, the style and difficulty of Brahms’s
              piano writing is similar. Indeed, that early work
              established the type of “symphonic concerto” continued in
              these two later concertos, and its enormous first movement
              also established a precedent. So did the composition of a
              slow movement in broad 6/4 meter. Yet where that concerto is tragically epic,
              this one is ultimately of epic serenity. The first
              movement of the present concerto is a vast sonata form
              with memorable themes and majestic breadth. The opening,
              with the dialogue between horn and piano, is among the
              most distinctive in the concerto literature. The scherzo,
              which is really a complex scherzo-sonata hybrid, is the
              only movement not in B-flat, which helps justify its
              placement in second position. The radiant slow movement
              famously makes extensive use of a solo cello to present
              the main theme (similar to the employment of the oboe in
              the Violin Concerto, but here
              even more prominently). The piano itself never plays this
              melody. The finale has come in for some criticism as being
              too light and playful after what has gone before, but it
              is deceptively rich in content and virtuosity. Indeed, the
              faster coda is pure delight. Running around 50 minutes,
              the concerto can accurately be described as Brahms’s
              longest orchestral work (overall behind only the German Requiem, Second
                Piano Quartet, and Magelone
                Romances), although the First
                Symphony is potentially longer if its first movement
              exposition repeat is taken.
         
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            1st Movement: Allegro non troppo
            (First movement concerto [Double exposition sonata] form).
            B-FLAT MAJOR, 4/4 time.  
        
         
        
         
        
         
         
        
         
        
         
        
         
        
         
          
        
          ORCHESTRAL EXPOSITION (WITH OPENING PIANO RESPONSES AND
          CADENZA)
          0:00 [m. 1]--Theme 1.  In a famously evocative
          opening, the principal horn presents the first gesture of the
          main theme.  Its first three rising notes will permeate
          the movement.  The triplet rhythm of the subsequent
          falling motion is adopted by the piano in its response. 
          Rising arpeggios, beginning low in the bass, lead to an echo
          of the horn figure.  The horn then presents the answering
          second phrase, which begins with a downward leap but is
          otherwise similar.  The piano responds in the same
          way.  Flutes, clarinets, and bassoons then introduce the
          distinctive continuation with its gently falling thirds. 
          Halfway through this continuation,the strings make their
          entrance, and there is an unusually early turn to the home
          minor key.
          0:43 [m. 11]--Piano cadenza.  Brahms follows the
          model of Beethoven’s “Emperor” Concerto here by inserting a
          substantial solo cadenza before the orchestral exposition
          begins in earnest.  Taking over after the motion to
          minor, the piano begins a series of rapidly upward-shooting
          left hand arpeggios in groups of six notes to a beat. 
          Punctuating the close of each arpeggio, the right hand plays
          sharp descending half-steps in octaves.  A sequence in
          B-flat minor is followed by one in E-flat minor.  In the
          next two measures, the right hand interjections include upward
          motion to chords, becoming more insistent.  The arpeggios
          and interjections are suddenly cut off by the arrival of a
          dissonant “diminished seventh” chord.
          1:00 [m. 17]--With a motion back to B-flat major, the
          piano grandly erupts in rich left hand chords, whose straight
          rhythm is played against triplet-rhythm octaves in the right
          hand that wind their way down.  Then the right hand joins
          the left hand harmony in the same rhythm, forming full chords
          that gradually swell upward, with longer notes on the
          downbeats.  After four measures of this motion, the right
          hand again erupts into triplets, this time with full chords
          sweeping down and back up.  Against this, the left hand
          plays a variant of the main theme that includes the falling
          thirds from the initial wind continuation.
          1:25 [m. 25]--The right hand triplets move to the
          middle of the keyboard, and their arching shapes are arranged
          so that it sounds like each measure has three long beats with
          four eighth notes to a beat instead of four beats in
          triplets.  The left hand strongly punctuates every two
          right hand notes or chords with an octave on the “dominant”
          note F.  These alternate between low and high, with the
          hand crossing over the right for each octave.  This
          obscures the triplet rhythm even more.  The intensity
          builds strongly, leading toward the eruption of the full
          orchestra.  In the last measure, everything moves
          downward, including the upper octave, which the right hand
          takes.  The last two-note group is replaced by a sharp
          anticipatory chord.
          1:38 [m. 29]--Transition.  From this point, the
          orchestra fully takes over for the remainder of the first
          exposition.  The full orchestra proudly states the
          opening gesture of the main theme, punctuated by timpani
          rolls.  The second phrase is varied, fragmented and
          repeated, with the woodwinds maintaining the regular motion
          while the strings introduce strong syncopation across the
          bar.  The descending triplet is then isolated, with the
          violins rising (at first with the woodwinds) over a strong and
          steady bass.  The harmony moves toward F, the “dominant.”
          1:53 [m. 35]--The music now becomes fully
          transitional.  The first violins and high winds play
          yearning upward half-steps followed by a descending
          octave.  The triplet motion continues in other
          instruments.  This continues for three measures until a
          high point is reached.  After a triplet arpeggio in the
          cellos, the first violins undulate in syncopation and the
          volume greatly diminishes.  F major has been established.
          2:11 [m. 42]--Against continuing syncopation in the
          horns, the strings begin their own metrically ambiguous
          lead-in to the second theme.  It begins with a yearning
          upward motion and continues with long notes held across bar
          lines and avoiding strong beats.  Descending leaps are
          introduced.  Everything quiets down considerably. 
          The key moves to D minor, the “relative” key of F major, where
          the second theme will be heard.  An arching harmonized
          arpeggio in the woodwinds provides the final preparation. 
          2:30 [m. 48]--Theme 2 (D minor).  The theme is
          expressive and rather melancholy.  The violins present
          the tune, which emphasizes a long dotted (long-short)
          rhythm.  The violas and cellos alternate in an
          accompaniment with rising plucked arpeggios in triplet
          rhythm.  Clarinets and bassoons provide a background of
          slow-moving harmonies.  The melody gradually works its
          way upward as oboes join the long wind harmonies.  The
          theme culminates in a highly charged harmonized statement of
          the rising three-note figure that opened the main theme.
          2:53 [m. 56]--Closing material.  Still in D minor,
          the violins and violas forcefully lead into a new idea with a
          rising six-note scale figure (a “sextuplet” in one
          beat).  This scale figure will become important. 
          The woodwinds then join for a sharply articulated chordal idea
          in a shorter dotted rhythm.  This is punctuated by a
          descending sextuplet in the low strings.  After another
          rising statement, the descending sextuplet is passed four
          times between the first and second violins.  Meanwhile,
          the dotted-rhythm idea continues in the lower
          instruments.  The last descent is extended to two beats
          with the violins joining together.
          3:05 [m. 61]--The first gesture from the main theme,
          with its three-note opening and descending triplet, asserts
          itself dramatically in the D-minor key, presented by the full
          orchestra with the strings playing tremolo.  The
          second gesture, the descending figure, is presented in the
          winds with the falling third, but the opening gesture is heard
          against it in the bass and strings, and this dominates. 
          The sequence is presented twice, the second time with the
          strings an octave higher and with changes in the wind/brass
          scoring.  In the last three measures, with the strings
          still in tremolo and the higher winds briefly dropping
          out, a variant of the descending second gesture with the
          triplet figure leads into two loud chords with string
          trills.  These move the key toward F with a “diminished
          seventh” harmony and end the orchestral exposition.
          SOLO EXPOSITION
          3:24 [m. 68]--Opening cadenza.  As the orchestra
          breaks off, the piano emerges into three ascending loud chords
          based on the three-note opening.  They begin on F, the
          preparatory “dominant” in the home key of B-flat, which is
          immediately established.  Then the piano emerges into a
          rhapsodic series of octaves that work their way up in groups
          of two-note descents in triplet rhythm.  Bass notes on
          the beat are followed immediately by right hand octaves just
          off the beat.  After reaching high, the octaves plunge
          directly downward in both hands.  They slow to straight
          rhythm, then single beats and single notes in each hand.
          3:39 [m. 73]--Theme 1.  The piano presents its
          solo version of the theme, which expands it by lingering on
          the descending triplet, repeating it with syncopation and
          moving it up a step, steadily building.  The left hand
          accompaniment is in straight rhythm, and there are
          two-against-three groupings.  The piano then inverts and
          harmonizes the triplet, decorating it with fast arpeggios in
          the now-familiar “sextuplet” groupings.  At this point
          the horns timidly enter against the piano with a long
          note.  The inverted “ascending” version is repeated and
          expanded upward.  Plucked descending cellos timidly
          enter, as do clarinets, oboe and bassoon.  The ascending
          figure builds rapidly before reaching even higher toward the
          next arrival point.  
          4:00 [m. 81]--As the piano reaches its goal, the full
          orchestra enters majestically with a harmonized version of the
          first three notes.  The piano immediately responds with a
          dramatic rising sequence of chords and octaves based on this
          opening figure.  It is in triplet rhythm and runs a bar
          and a half.  The orchestra then presents the gesture
          again with new harmonies and beginning halfway through the
          bar.  The piano again responds in a similar way, also
          with new harmonies.  The figure is then passed between
          the violins and the piano.  Pizzicato strings
          underscore the arrival point.
          4:13 [m. 85]--On the upbeat, a rapid piano arpeggio in
          contrary motion leads into the answering phrase, presented in
          alternation between sharp staccato chords in the
          strings and the piano.  The winds enter here, their legato
          keeping the phrase together above the alternating strings and
          piano.  The arrival point is again marked by a piano
          arpeggio in contrary motion.  The continuation follows in
          the first violins, the cellos providing a contrasting line and
          the other strings pulsating in syncopation.  The piano
          completes the phrase with minor-key inflections, off-beat
          chords forming an inner texture between the melody and the
          bass.
          4:29 [m. 92]--The strings take up the falling-third
          continuation again, this time with the cellos entering in
          imitation of the first violins.  This statement is more
          subdued and leads into a quiet extension with a full
          cadence.  After the cadence, the woodwinds answer with a
          very gentle, dolce response.  The piano takes
          this up, swelling slightly over triplet arpeggios in the left
          hand.  Unexpectedly, this leads to an atmospheric and
          dissonant “diminished seventh” chord, punctuated by plucked
          strings.  Clarinets, bassoons, and horns hold this as the
          piano sweeps up and down with arpeggios on the same harmony in
          both hands.
          5:05 [m. 104]--Transition.  The “diminished”
          harmony moves away from the home key, and the transition
          begins in F major as the high winds present the answering
          phrase of the main theme, dolce.  The piano
          responds with descending right-hand octaves against wide
          triplet arpeggios in the left hand, moving toward
          D-flat.  The oboe leads a second statement in that
          key.  This time, the piano extends its answer, breaking
          its octaves with the leading lower note off the beat. 
          The left hand starts a new counterpoint in the tenor
          range.  In the last measure, the right-hand octaves
          contract to fourths, with the “tenor” line a third below
          that.  The strings then gently present their
          metrically-ambiguous “lead-in” from 2:13 [m. 42] in F major.
          5:33 [m. 114]--The piano presents a new solo statement
          somewhat reminiscent of the opening cadenza.  Both hands
          broadly wind up the keyboard, but the right hand plays in
          straight rhythm against the left in triplets, beginning on an
          upbeat.  At the high point, the right hand slowly begins
          to move down while adding its own second voice, the left hand
          still swaying in triplets.  Finally, the right hand takes
          up the triplets with a cascading downward motion that
          alternates two-note harmonies with single notes, while the
          left hand plays straight broken octaves.
          5:44 [m. 118]--New Transition Theme.  Suddenly,
          the violas emerge in pulsing groups of six while the cellos
          and basses play a martial dotted rhythm.  This becomes
          the basis of a brand new transition theme that is confident,
          but harmonically unstable.  The two-bar unit is first
          played by the bassoons and horns in D-flat major.  It is
          then taken by the violins and violas in F major, the pulsing
          groups of six passing to the horns.  A third statement
          from the upper winds is again in D-flat (the pulsing passing
          back to violas), and a fourth from violins and violas slides
          up a half-step to D major (the pulsing moving down to the
          cellos).  Finally, the piano cuts off the sequence with a
          string of descending chords leading back toward F major.
          6:09 [m. 128]--The material of the new theme is used to
          continue the extended transition.  Violins and violas
          isolate the martial rhythm.  Against it, the piano erupts
          into very light, but wide and highly virtuosic
          arpeggios.  These are in a fast triplet rhythm, with the
          hands moving in different directions, the right stretching up
          and the left reaching down.  The martial rhythm fragments
          into shorter figures, and a flute enters to take them over
          from the strings.  They are also incorporated into the
          piano arpeggios.  The harmony moves toward C.
          6:21 [m. 133]--The piano now continues with a broader
          idea stated in right hand octaves.  These are initially
          played in half-steps that widely alternate between high and
          low.  After two measures, the half-steps are replaced by
          single wide leaps between the octaves.  The left hand
          accompanies with off-beat arpeggiated figures in triplet
          rhythm.  Bassoons, joined by clarinet, accompany in long
          chords.  The harmony is highly unstable, and it touches
          on the remote key of G-flat.
          6:32 [m. 137]--The wide leaps now pass to flute and
          clarinet, against which the piano plays chords and resolutions
          stretching up the keyboard, still in triplet rhythm. 
          Then the right hand plays cascading descents, still in
          triplets but beginning off the beat, while the left hand plays
          arpeggios in “straight” rhythm.  Suddenly, the strings
          begin to play the yearning upward motion and the held notes
          over bar lines, familiar as the “lead-in” from 2:13 [m. 42]
          and again toward the beginning of this greatly extended
          transition.  This begins against a persistent F in the
          bass.  But then, at the leaps, the strings wrench the
          harmony through highly chromatic motion, finally establishing
          F minor, where Theme 2 will be heard. 
          6:57 [m. 146]--Theme 2 (F minor).  The key
          signature changes to four flats.  The thematic outline
          clearly matches the orchestral statement in D minor at 2:33
          [m. 48], but the theme is here presented by the piano without
          accompaniment, and its character is changed.  It is now
          percussive and forceful, and the piano embellishes the melody
          with chords.  The theme is also given a metrically
          flexible triplet-rhythm division, both in the thematic right
          hand and the accompanying left hand.  The latter plays
          triplet arpeggios with low bass notes and wide reaches. 
          The presentation of the theme reaches a cascading arpeggio in
          octaves, and as in its orchestral presentation, it culminates
          in the harmonized statement of the rising three-note figure.
          7:19 [m. 154]--Closing material in F minor, analogous
          to 2:55 [m. 56].  The piano plays the initial statement
          of the dotted-rhythm chords.  Its lead-in, however, is
          not a “sextuplet,” but an 14-note sweep in octaves split
          between the hands and covering almost three octaves in each
          hand.  The first chords are accompanied by rapid
          nine-note descent in the left hand, replacing the descending
          sextuplet.  The left hand then joins the chords. 
          The strings enter for the continuation.  The cellos and
          basses play the sextuplet lead-in and dotted rhythm, as they
          had before.  Against this, the descending sextuplet is
          passed between hands of the piano instead of the
          violins.  The hands join for the last descent with a
          rapid, cascading 19 notes in octaves, spread over two beats.
          7:32 [m. 159]--In another new insert not present in the
          orchestral exposition, the piano presents a highly percussive
          closing theme.  It stamps relentlessly, punctuated with
          low bass octaves.  The strings enter softly after two
          measures, the lower ones plucked.  A second phrase begins
          like the first, but an octave higher, and now the pianist’s
          power is stretched even more to the limit.  The upper
          notes reach higher and higher.  The light string
          accompaniment is now all pizzicato beneath the
          thundering onslaught of the piano.  The second phrase is
          extended to five measures, further increasing the intensity.
          7:56 [m. 168]--The tension further increases as the
          piano breaks into wild high trills, harmonized in thirds, in
          the right hand.  These are further punctuated by
          arpeggios at the end of each measure.  The strings and
          piano left hand play the main rising three-note figure against
          these trills.  The flutes and bassoons descend against
          it.  After two measures, the strings stop, and the left
          hand plays the three-note triplet descent from the main theme
          in powerful octaves.  After two more measures, the
          strings enter again, alternating the triplet descent with the
          left hand.  The last trills are in both hands, and the
          pianist finally breaks off, having seemingly triumphed in an
          Olympian struggle, giving way for the orchestra to close the
          double exposition.
          8:16 [m. 174]--Orchestral closing in F minor.  The
          first four measures match the analogous passage at 3:08 [m.
          61].  The only change is that the second horn reinforces
          the descending triplet in the strings and high winds. 
          The three-measure closing from the orchestral exposition,
          however, is replaced by a measure of descending triplets in
          the violins and violas, played in a powerful tremolo
          and continuing the intensity.
          8:29 [m. 179]--The orchestra extends the closing with a
          strong statement of Theme 2, accompanied by the continuing tremolo
          triplets.  The first gesture is cut off by short
          hammer-like figures in the second measure, but the theme then
          restarts, continuing for three measures before the hammering
          figures intervene again.  Finally, things quiet down as
          the clarinets and tremolo violins make a long
          “chromatic” descent in half steps.  A couple of whole
          steps are added at the end, leading to a quiet, trembling
          harmony on D-flat.  This closes the double exposition and
          prepares for the development section.
          DEVELOPMENT
          8:55 [m. 188]--First section.  The opening of the
          development parallels the very beginning.  The horn
          gently enters over the D-flat string tremolo, playing
          the main opening gesture in F minor.  The minor key
          transforms its character.  The horn entry is lengthened,
          displacing the meter by a half-measure.  As at the
          outset, the piano responds with arpeggios and an echo. 
          The tremolo strings enter again and extend the piano
          response by a half-measure, restoring the displaced meter. The
          answering phrase and the piano’s response then follow as
          expected, adding a syncopated upbeat entry at the beginning
          and a small dotted-rhythm flourish at the end of both the
          phrase and the response.  Flute and oboe join the horn.
          9:19 [m. 195]--The continuation with falling thirds is
          now also played by the horn, with bassoon accompaniment. 
          There is a slight variation in the melodic line, with an
          upward motion replacing a downward one after the first falling
          thirds.  The string tremolo moves downward. 
          Flute and first violins join the horn at the end of the
          phrase.  With the music already in minor, this passage
          naturally incorporates the opening’s minor-key turn, which was
          surprising then.  There is a rapid crescendo.
          9:31 [m. 199]--Corresponds to the first six measures of
          the piano cadenza from 0:45 [m. 11].  The first sequence
          is in F minor, the second in B-flat minor.  In a twist,
          Brahms now has the strings participate in music that was
          originally for the piano alone.  The first violins play
          the sharp half-step interjections, leaving the piano to take
          only the arpeggios, which are now eight notes instead of six
          and split between the hands.  Second violins, violas, and
          cellos punctuate the beats with pizzicato
          chords.  In the last two measures, the piano joins the
          strings on the insistent upward motion to chords.  The
          “diminished seventh” is replaced by a “dominant seventh” built
          on G-flat.
          9:46 [m. 205]--Here, the correspondence to the opening
          breaks off.  The key signature changes to two
          sharps.  The G-flat “dominant seventh,” interpreted as
          F-sharp, leads to a key center on B.  At first this is
          major.  The piano plays forceful off-beat syncopated
          chords.  Against them, the strings, now all bowed, play
          the sharp interjections in unison.  After a measure, the
          strings briefly drop out and the sharp interjections, their
          direction reversed, are played by the piano in full
          chords.  Then there is another full two-measure sequence
          of this alternation a fourth higher.
          9:56 [m. 209]--The piano’s syncopation now thins to
          octaves instead of full chords.  These now leap up and
          down, usually at the distance of an octave.  The motion
          resembles the wide leaps from the transitional material at
          6:33 [m. 137].  The violins and violas play a murmuring tremolo
          while the cellos and basses play their own broad line with
          octave leaps.  The flutes, clarinets, and bassoons also
          enter with slow-moving chords.  The passage ends with two
          sharp chords again confirming the “dominant” harmony in
          B.  There is a hint of a change from B major to B minor.
          10:05 [m. 213]--Second section.  It is built from
          the “new transition theme” first heard at 5:46 [m. 118]. 
          At the arrival point, the distinctive dotted rhythm from that
          theme is heard first in the low strings, dovetailed with the
          violins and violas.  Against this, the clarinets and
          bassoons play a harmonized triplet-rhythm arpeggio.  The
          string sequence is repeated a half-step lower and the arpeggio
          is now played by the piano, with the right hand moving at
          double speed.  This leads to a full cadence in B minor.
          10:10 [m. 215]--A series of sequences begins here, all
          based on the dotted rhythm from the “new transition
          theme.”  The piano plays a cascading series of chords,
          doubled between the hands, in continuous long-short
          rhythm.  Meanwhile, the strings continue to suggest the
          original, somewhat broader long-short rhythm from the
          theme.  The piano chords arch back up and move from B
          minor to D major, where they again play the same arching
          motion.  This in turn moves to A major, but the piano
          chords are cut off by a descending harmonized triplet arpeggio
          in flutes and clarinets.  The piano responds with its own
          descent, echoing the triplets in the left hand, but with a
          rapid 32nd-note run in the right.  The
          arpeggio sequence is played again a fourth lower, this time
          without the flutes, and the music moves back to D major.
          10:25 [m. 221]--The piano begins another series of
          chords in D major, but this time the continuous dotted rhythm
          is in the left hand, and the right hand fills in the space
          between the left hand chords.  The direction is reversed,
          and is now a general up-down arching motion.  The lower
          strings, bassoon, and clarinets continue to provide a
          background based on the transition theme.  After four
          measures, the harmony is again diverted to a chord on F-sharp,
          seeming to herald another motion to B.  This is
          reinforced by alternating string and piano triplet-rhythm
          arpeggios.  But at the end of the second alternation, the
          piano arpeggio makes a deceptive motion and diverts the music
          a half-step higher than expected, to C major.
          10:40 [m. 227]--The next sequence is similar, with
          right hand chords filling in the space between the left hand
          chords.  The general direction is again reversed into a
          down-up arch.  The harmony quickly moves through the
          circle of fifths, from C major to G major to D major. 
          This time the chords only continue for two measures.  The
          arpeggios cut them off, as expected, but now they move
          downward and the piano right hand speeds up again to cascading
          32nd notes.  This time, an expected diversion
          back to B is fulfilled.
          10:50 [m. 231]--It seems as if another sequence similar
          to that from 10:26 [m. 221] is going to begin in B major, and
          indeed it does, but after one measure, it is abruptly and
          almost rudely cut off.  The winds play a loud sustained
          chord on F-sharp, the strings briefly drop out, and the piano
          plunges down the keyboard with broken triplet-rhythm octaves
          in both hands.  These are in contrary motion, the right
          hand following the left.  The piano lands on a
          powerful chord, reinforced by the winds.  The chord is
          D-sharp minor, “relative” to F-sharp.  The strings
          simultaneously take over the plunging descent, with tremolo
          and staccato markings.  
          10:57 [m. 234]--The piano and strings have another
          alternation of the same nature, this time moving to G-sharp
          minor.  Finally, the piano has two full measures of
          broken octaves, with four brief descents against sustained
          wind chords.  The bass moves down by half-step from
          G-sharp to F-sharp.  The piano and orchestra make a
          powerful and full arrival on the chord of F-sharp major.
          11:08 [m. 238]--Third section/Re-transition.  With
          the arrival on F-sharp, the orchestra plays the main
          three-note ascent, harmonized and oriented as leading toward
          the key center.  The held third chord quiets
          quickly.  The piano begins to play light, decorative
          rising arpeggios in 32nd notes. While cellos and
          basses hold a low C-sharp, the other strings murmur for two
          measures under the piano decorations.  Then the low
          strings suggest the falling-third continuation.  The
          piano arpeggios become freer (groups of ten and seven notes),
          and suggest the opening cadenza.  Flute and oboe enter,
          echoing the low strings on the falling thirds.  The piano
          suddenly plunges down with forceful octaves in broken
          triplets, the right hand following the left.
          11:26 [m. 244]--The three-note ascent with
          harmonization in F-sharp is heard again from the orchestra as
          the piano finishes its downward plunge.  But then the
          last note, E-sharp, is reinterpreted as F, and the figure is
          repeated starting from that note, the harmony skillfully
          moving to the home key of B-flat as signaled by its key
          signature.  A timpani roll marks the significance of the
          moment.  The five measures from that point are a direct
          transposition of the previous passage, except the flute/oboe
          echo is now taken by a bassoon.  The plunging piano
          octaves do not interrupt, and instead the passage continues.
          11:45 [m. 250]--In the new continuation, the flute and
          oboe reassert themselves on the falling thirds after the
          bassoon’s brief usurpation.  The piano arpeggios return
          to regular 32nd notes, but they still pause on
          chords with the motion reminiscent of the first cadenza. 
          The harmony becomes active, with the bass moving up by
          half-step from the “dominant” note F.  Another
          alternation between low strings and flute/oboe on the falling
          thirds suggests C major over its “dominant” note G in the
          bass.  The low strings begin another statement, leading
          up to A in the bass, but there is no wind echo.  Instead,
          the hushed piano arpeggios are isolated, slowed down to
          “sextuplets,” and suspended, suggesting a full motion to A
          major.
          12:04 [m. 256]-The final transition is magical. Over a
          held A- major chord in the strings, the piano settles into a
          series of shimmering oscillations.  The left hand leads
          into these with an A-major arpeggio.  The hands,
          separated by an octave, are in the upper register.  The
          top notes of the oscillations outline descending
          half-steps.  These gradually move up: F—E, G—F-sharp,
          A—G-sharp, and finally B-flat—A.  The low strings move to
          the “dominant” note F under this last upward shift.  This
          atmospheric passage, almost like a celestial music box,
          creates a wonderful preparation for the hushed, but highly
          satisfying entrance of the main theme for the
          recapitulation.  The horns, supported by clarinets, enter
          early in preparation for this.
          RECAPITULATION
          12:16 [m. 260]--The main theme is clearly heard in the
          first horn, holding the opening note over from the previous
          upbeat, now harmonized by clarinets.  The shimmering
          piano oscillations continue under this entry, as does the
          string background.  The piano figuration works its way
          downward, replacing the original piano response and even
          echoing the descending triplet.  But then, in a skillful
          variation, the flute and oboe take over the rising figure
          following the echo, and the piano immediately plays its original
          response, delayed by a measure.  This causes it to
          dovetail with the answering phrase.  The piano’s original
          response to that is heard where expected, but its ending is
          punctuated by pizzicato string arpeggios.
          12:39 [m. 266]--The continuation with falling thirds is
          presented as at the beginning, with strings following
          winds.  But now the piano enters overlapping with its
          conclusion.  At the beginning, this was where the big
          first cadenza occurred.  Here, the piano plays gentle
          harmonized triplets that move to the minor key.  These
          wind their way down the keyboard, building as they go, with
          the bass adding wider leaps.  The triplets are somewhat
          reminiscent of the first cadenza.  There is a brief wind
          interjection derived from the familiar “lead-in,” then the
          piano plays an abbreviated version of its solo statement from
          5:35 [m. 114].  It is reinforced by the strings.  It
          leads directly into the “new transition theme” from 5:45 [m.
          118].
          13:11 [m. 276]--Brahms has deftly elided from
          orchestral exposition material into the latter part of the
          solo exposition, abridging both.  From this point, the
          structure closely matches the solo exposition from 5:45 [m.
          118], transposed up a fourth.  The piano tumbles into the
          “new transition theme,” overlapping with it.  The four
          statements are in G-flat, B-flat, G-flat again, and G. 
          There are some slight changes in scoring.  Oboes and
          clarinets replace horns on the first one.  A bassoon
          joins the third.  Cellos always pulse with the violas,
          and the horns pulsate on both the second and fourth statements
          (replacing cellos on the fourth one).  The piano chords
          lead back toward B-flat.
          13:36 [m. 286]--Light, virtuosic piano arpeggios in
          contrary motion against the martial rhythm, analogous to 6:11
          [m. 128].  Many of the left hand arpeggios are narrowed
          by an octave, making them easier to execute.  The flute
          entry on the short fragments from the martial rhythm is
          replaced by a clarinet.
          13:48 [m. 291]--Broad idea in right hand octaves with
          fast-moving harmony, analogous to 6:22 [m. 133].  The
          bassoons are joined by a horn instead of a clarinet.  The
          harmony touches on C-flat (analogous to G-flat before).
          13:59 [m. 295]--Upward chords and resolutions, then
          cascading descents, followed by yearning “lead-in,” analogous
          to 6:33 [m. 137].  The wide leaps are here played by
          clarinet alone, the flute only joining at the end and adding a
          brief extension.  The harmony moves to the home minor key
          (B-flat minor) for Theme 2, signified by a change to a
          five-flat key signature.
          14:24 [m. 304]--Theme 2 (B-flat minor).  The piano
          presents its forceful version of Theme 2 as it did in the
          F-minor statement at 6:58 [m. 146].
          14:46 [m. 312]--Closing material in B-flat minor,
          presented as it was in F minor at 7:20 [m. 154].  There
          is one major change.  During the continuation introduced
          by the low strings, where the descending sextuplets had before
          been passed between the hands of the piano, here they
          alternate between the violins and the piano, the latter
          playing with both hands in octaves.  Thus, the
          presentation of the same material from both the orchestral and
          solo expositions is unified here in the recapitulation.
          14:59 [m. 317]--Percussive closing theme, analogous to
          7:33 [m. 159].  The two-flat key signature of B-flat
          major returns two-measures into the second statement. 
          Previously, the F-minor key signature remained in force at
          this point.  The last two measures do not reach as high,
          replacing some of the chromatic ascents with
          repetitions.  This changes the path of the harmony.
          15:23 [m. 326]--Wild trills harmonized in thirds,
          analogous to 7:57 [m. 168], but with important harmonic and
          structural alterations.  The first two measures dispense
          with both the thematic orchestral counterpoint and the
          punctuating arpeggios.  Instead, the left hand plunges
          down in thunderous block chords against the trills, which also
          move down by octave.  The harmony is also completely
          changed.  These first two measures are centered on
          F-sharp minor and C-sharp minor.  The orchestra only
          provides punctuating chords and a wind background.  
          15:29 [m. 328]--In the next measure, the descending
          triplet from the theme does appear in violins and violas while
          the harmonized piano trills now thunder with both hands in the
          bass.  The next measure erupts into a sweeping, rapid
          upward piano arpeggio while the strings complete the thematic
          fragment with a rising fourth.  F-sharp minor now leads
          to C-sharp major.  Then the first two measures with the
          trills and chords on F-sharp and C-sharp are repeated, but
          they are now in major.
          CODA
          15:41 [m. 332]--The expected climax is averted. 
          The piano trills again move to the bass, as they did four
          measures earlier, but they quickly become quiet.  Brahms
          skillfully reinterprets F-sharp as G-flat and E-sharp as
          F-natural to pivot back to B-flat, initially B-flat minor,
          where the music was before the diversion to F-sharp and
          C-sharp.  Very subtly, the main theme emerges on its
          original instrument, the horn, gradually moving to
          major.  In an extension, the descending triplet is twice
          repeated, doubled by the oboe and then, making its brief
          appearance, the piccolo.  The rising fourth follows as
          the piano right hand begins to play broken octaves, moving up
          chromatically in sextuplets and subtly echoing the
          triplet.  The left hand continues with the low bass
          trill.
          15:58 [m. 337]--The pattern continues with the
          answering phrase in the horn.  This time the oboe and
          clarinet echo the descending fourth.  The piano pattern
          speeds up the sextuplets to nine-note groups and
          descends.  The descending fourth is echoed again, now by
          clarinet and bassoon.  A third, extremely quiet echo is
          provided by bassoon, oboe and piccolo, the latter instrument
          making its second and last “cameo” entrance.  The
          atmosphere is extremely hushed, mysterious, and tense. 
          The low bass trills continue and the chromatic piano figures
          work their way down.  They soon contract from the octave
          over a persistent B-flat, then expand down an octave below
          this note, again in sextuplets.  The low strings provide
          a background.
          16:15 [m. 342]--Suddenly, the full orchestra, with pizzicato
          strings, enters strongly with the three rising notes of the
          theme.  The piano follows a half-bar later in powerful
          chords, completing the first gesture.  There then follows
          a series of imitations based on the harmonized descending
          triplet and rising third.  The piano, with the right hand
          displaced just after the left, plays with the plucked
          strings.  Flutes, oboes, and bassoons form a second
          group, clarinets and horns a third.  The figure is passed
          somewhat irregularly between these three groups.  After
          two iterations from the piano/strings and one each from the
          other groups, the figure moves up a step for a pair of
          alternations between the first wind group and the
          piano/strings.
          16:28 [m. 347]--As the clarinets and horns attempt to
          imitate at the new level, the piano forces the figure up
          another step.  The octave motion is decorated with
          falling-octave embellishments, which have already been heard
          punctuating the gestures of the imitation.  After the
          first wind group plays one full statement, the groups subtly
          merge together.  The descending triplet is then isolated
          without its sequel for seven straight statements with an
          intense buildup.  The fifth statement moves down a
          fourth.  The strings separate themselves and take up
          their bows  The horns join them in a chordal
          background.  The last statement of the triplet figure is
          stretched out to an arpeggio, which leaps powerfully up an
          octave.
          16:35 [m. 350]--A highly fulfilled version of the
          transitional material from 1:55 [m. 35] with yearning upward
          half-steps and falling octaves is now played.  It is
          metrically slightly expanded, but still recognizable. 
          Horns, timpani and the piano provide the descending triplet
          motion.  The passage is colored by tremolo
          figures in the middle strings.  As before, a triplet
          arpeggio in the cellos leads out of it.
          16:47 [m. 355]--The falling third continuation of the
          main theme now has its apotheosis.  It rings from the top
          line of the piano over continuous descending sextuplet
          arpeggios, supported by plucked strings.  A second
          statement is provided by a flute solo supported by bowed first
          violins and cellos, with the piano continuing the
          arpeggios.  The flute is joined by an oboe after two
          measures.  These instruments, soon joined by horns, spin
          out the conclusion of the phrase, which then dissolves into
          two-note descents in the first violins.  There is another
          brief oboe/horn entrance, and then the violins are left to
          settle things down.  The piano arpeggios, continuous
          throughout, conclude with two gently expectant sighs separated
          by rests.
          17:26 [m. 369]--With a sudden powerful orchestral
          chord, the piano plays a sweeping two-octave scale in both
          hands, stretching twenty-one notes over two beats.  At
          its culmination, it erupts into a double trill on F, supported
          by flute and oboe.  Then the orchestra plays the
          ubiquitous main motive.  Violins play the downward motion
          of the answering phrase while low strings and bassoons take
          the upward motion.  The timpani have been used sparingly
          throughout, but now their punctuating rolls add power to the
          sustained trill, now joined by clarinets with the other flute
          and oboe.  The descending triplet is isolated and given
          two separate statements, supported by downward leaps in
          straight rhythm from low strings, horns and bassoons.
          17:35 [m. 372]--The descending triplet is now given
          three consecutive statements as the piano trill, supported by
          wind instruments, moves up to F-sharp.  Then the trill
          works up to G and A, finally reaching a thrilling and
          satisfying arrival on B-flat, as if  the wind instruments
          have supported the pianist in an ascent to the summit. 
          The arrival is punctuated by an upward series of chords in the
          piano with the right hand closely trailing the left.  Two
          sharp and short B-flat chords from the piano and full
          orchestra, followed by a long and sustained clinching one, end
          this monumental movement.
          17:58--END OF MOVEMENT [376 mm.]
          
        
            2nd Movement: Allegro appassionato
            (Scherzo-Trio/Sonata form hybrid). D MINOR, 3/4 time.
         EXPOSITION (Scherzo Part 1)
          0:00 [m. 1]--Theme 1.  The piano launches
          into the main scherzo theme, beginning with a two-beat,
          four-note pickup on D and E in both hands.  This leads to
          an upward-shooting arpeggio landing on a chord.  The low
          strings enter with a three-note descent, supported by
          horns.  After holding the chord, the piano begins to
          develop the three-note descent from the low strings,
          developing it into a heaving, surging undulation.  This
          figure twice moves upward, then stretches into a forceful
          cadence figure with ringing chordal grace notes.  Under
          this, the low strings and horns provide heavily syncopated
          reiterations of the note B-flat, breaking these to support the
          D-minor cadence.
          0:15 [m. 16]--As the piano reaches its cadence, the
          wind instruments play the opening gesture with the pickup,
          arpeggio, and chord.  The piano immediately imitates this
          a fifth higher, moving right to the surging undulation. 
          Appearing to approach the cadence figure again, Brahms
          extracts a leaping gesture from the undulating material,
          already anticipated by the low strings.  This is played
          four times with subtle harmonic alterations, the last adding a
          second downward leap.  The low strings continue their
          anticipations of each statement.  Clarinets and bassoons
          provide harmonic sighs in support.  The cadence is
          avoided, and the piano works down in syncopated chords with a
          rumbling bass, approaching a hushed half-close in A minor.
          0:39 [m. 43]--Theme 2 (A minor).  Overlapping with
          the half-close, the violins and violas in unison present the
          second theme, another sighing gesture, but a more melodic
          one.  Brahms marks it tranquillo e dolce. 
          It is characterized by a long held note leading to a quick
          upper neighbor motion, followed by a three-note descent. 
          These elements are extended in the unison statement.  It
          has a distinctively austere flavor.  Cellos and basses
          punctuate the close.
          0:52 [m. 54]--Overlapping the string statement with an
          arpeggio, the piano presents its colorfully harmonized and
          decorated version of the austere theme.  After five
          measures, the piano varies the theme, adding a distinctive
          closing gesture with descending notes.  These are
          supported by off-beat chords and a widely leaping left
          hand.  A restatement of this gesture, beginning higher,
          leads to a full arrival on E minor.
          1:03 [m. 66]--In a continuation, the main gesture of
          Theme 1 returns as an upbeat.  It continues with a
          delicate rising arpeggio, the left hand rising above off-beat
          punctuation in the right hand.  This is accompanied by
          isolated plucked string chords, a single beat followed by
          three chords with a descending bass line.  The key
          appears to move back toward D minor.  The upbeat and
          hand-crossing arpeggio are repeated and the plucked string
          bass continues to descend.  A third statement of the
          Theme 1 motive leads to a soaring line in the right hand, the
          same hand playing off-beat chords.  The left hand has a
          wide ranging, disjointed line, doubled by plucked low strings.
          The key moves back to another full cadence in E minor.
          1:12 [m. 74]--The pattern from 1:03 [m. 66] begins
          again, but this time the second statement of the hand-crossing
          arpeggio  is a third higher, and the third statement of
          the Theme 1 motive is moved up a fourth.  The soaring
          line is replaced by a more jagged variant, more closely
          matching the left hand and low strings.  The left hand
          itself uses more harmony against it.
          1:18 [m. 82]--The jagged line leads into a more
          melodious extension.  It is characterized by off-beat
          chords underneath the melodic line.  Three phrases move
          up in sequence, and then the melody works back down.  As
          the extension begins, the violas and cellos play three
          interjections of the Theme 1 motive, also moving up in
          sequence.  The third of these is immediately repeated a
          step lower.  As the piano works its way down, the volume
          diminishes and the key moves to A minor. The violas and cellos
          settle on a long low E, which they then pluck three
          times.  The piano cuts off, leaving the strings,
          including violins, to pluck a half close.
          1:31 [m. 95]--Transition.  The plucked strings
          repeat their half close, then continue the pattern, repeatedly
          avoiding a full cadence in A minor.  The piano breaks
          into a variant of Theme 2, beginning off the beat and
          accompanied by arpeggios in both hands.  The sighing
          gestures of the theme at the top of the right hand project
          over the arpeggios.
          1:39 [m. 102]--A cadence in A minor is finally
          reached.  The piano plays three alternations of an octave
          A in the left and right hands, followed by one on the leading
          tone, G-sharp.  Against these, the cellos/violas and
          violins alternate on harmonized statements of the Theme 1
          motive and its inversion.  These  change A minor to
          A major.  The string basses enter, plucking on A. 
          For the first ending (m. 106a), these four measures are
          repeated in full and followed by two more detached octave
          alternations on A with short string chords.  The volume
          fades to pianissimo.
          EXPOSITION (Scherzo Part 1) REPEATED
          1:49 [m. 112a, upbeat to m. 1]--Theme 1, through first
          cadence, as at the beginning.
          2:02 [m. 16]--Continuation beginning with winds,
          leaping gesture and half-close in A minor, as at 0:15.
          2:26 [m. 43]--Theme 2 in A minor presented by strings,
          as at 0:39.
          2:39 [m. 54]--Decorated piano statement of theme and
          arrival at E minor, as at 0:52.
          2:51 [m. 66]--Continuation with Theme 1 gestures, left
          hand arpeggios crossing over right, then soaring line, as at
          1:03.
          2:58 [m. 74]--Same pattern reaching higher, then
          disjointed line, as at 1:12.
          3:05 [m. 82]--Melodious extension with motion back to A
          minor, as at 1:18.
          3:18 [m. 95]--Transition with off-beat variant of Theme
          2, as at 1:31.
          3:26 [m. 102]--Cadence in A minor with piano octave
          alternations and Theme 1 motives in strings, as at 1:39. 
          At the second ending (m. 106b), the pattern breaks, with the
          piano dropping out, the violins moving up and then the winds
          (flutes, oboes, bassoons) echoing them with a sudden
          entry.  Strings and winds hold the chord (a “dominant
          seventh” on A).  Then the piano enters against it,
          playing the Theme 1 motive in octaves between the hands. 
          After one  low bass statement, the piano isolates the
          first four notes, stating them four times, each time moving up
          an octave and strongly building.  A harmony note (E) is
          added to the last three.  These four-note figures obscure
          the meter, creating a three-bar “hemiola” or cross-rhythm.
          DEVELOPMENT
          Scherzo Part 2
          3:37 [m. 114]--Section 1.  Statement of Theme 1 in
          C-sharp minor, beginning with the rising arpeggio in the low
          strings.  The piano answers, rising up in chords quickly
          alternating between hands, then continuing with the undulating
          motion.  The low strings play the familiar descent. 
          The piano then erupts into brilliant arpeggios in both hands
          that incorporate two-and three-note block harmonies with
          crunching dissonances.  Two of these arpeggios lead to
          more forceful chords, supported by string interjections and
          leading to a cadence in E minor.  The low strings begin
          another statement of the theme under the cadence.
          3:48 [m. 126]--The statement with chords and virtuoso
          arpeggios is repeated in E minor, but then extended with a
          third arpeggio that changes the harmony before the last
          forceful chords.  These are now not supported by the
          string interjections, and they lead to an arrival on A major.
          3:59 [m. 140]--Section 2.  The strings and winds
          alternate on three statements of the main theme opening. 
          The strings present the four-note upbeat and arpeggio and the
          winds follow with the undulation.  The three statements
          are in D minor, F minor, and G-sharp minor.  Against
          these, the piano plays strong rising octaves in both
          hands.  These rise steadily up the scale, although the
          octaves against the second, F-minor statement are displaced by
          moving them to the low bass.  The last G-sharp minor
          statement is extended by two measures, building powerfully.
          4:11 [m. 155]--The attention now turns to Theme 2,
          which is presented forcefully by the woodwinds in C-sharp
          minor.  Against this, the piano plays wild octaves
          rapidly alternating between the hands with leaps that seem to
          anticipate the upcoming “Trio” theme.  The strings and
          horns join, leading in the second phrase as the piano briefly
          breaks from its treacherous octaves.
          4:18 [m. 163]--The presentation of Theme 2 begins
          again, this time in A minor, the first four measures given in
          the same manner by the woodwinds with the wild piano
          octaves.  The second phrase, however, is even more
          forceful, with the full orchestra, including trumpets and
          timpani, joining in.  At this point, the piano has a
          welcome extended break.  The orchestra lengthens the
          phrase by twice extending the three-note descent.  This
          leads to a massive cadence in the home key of D minor. 
          The cadence overlaps with the beginning of the Theme 1 head
          motive in clarinets, bassoons, timpani, violas, and cellos.
          4:31 [m. 178]--The head motive of Theme 1 is used to
          twice reiterate the D-minor cadence, the violins, flutes and
          oboes following the lower instruments and timpani.  The
          arpeggio in the lower instruments moves down, and the
          following one moves up.  The four-note upbeat and the
          following downbeat are then isolated four more times, leading
          directly into the “Trio” section and an abrupt change from
          minor to major.
          Trio (Part of Development)
          4:40 [m. 188]--Section 3.  In bright D major, the
          violins confidently present the leaping triple-time march
          theme.  The detached leaping notes are accompanied by a
          mildly syncopated sighing figure in the horns, violas, and
          cellos.  This figure is derived from Theme 1’s low bass
          descent.  The first phrase is repeated with the
          instrumentation reversed, flutes and oboes also joining on the
          sighing figures.
          4:58 [m. 204]--Section 4.  The full orchestra
          erupts out of the trio theme with a grand, commanding descent
          derived from the syncopated sighing figures.  The rhythm
          of a long note lasting two and a half beats, followed by a
          clipped eighth note, is distinctive.  The gesture is
          stated twice in E minor, followed by by a third, more decisive
          descent that leads to an arrival on an A-major chord
          punctuated by a timpani roll.
          5:14 [m. 216]--The orchestra abruptly drops out, and
          the piano, absent for some time, enters with a winding,
          convoluted pattern in octaves.  At first, the left and
          right hands are doubled, but after two similar gestures, the
          left hand changes its motion, creating harmony with the right,
          though both hands still play in awkward, extremely challenging
          octaves.  The passage concludes with a descent to an
          A-major cadence.  After the grand orchestral climax just
          heard, Brahms marks this entry pianissimo and sotto
            voce, which only adds to its difficulty.
          5:23 [m. 224]--The cadenza-like convoluted pattern just
          heard in octaves is now repeated as a melody with full, rich
          three- and four-voice harmony.  The right hand plays
          intricate legato double notes, adding a voice below
          the existing melody.  The left hand plays another pattern
          similar to the original.  After four measures, it too
          plays in double notes, creating a four-voice texture. 
          Mild syncopation is added before the cadence, which trails
          off.
          5:32 [m. 232]--The piano again briefly drops out as
          clarinets, bassoons, horns, and low strings enter with another
          twofold statement of the descent from 4:58 [m. 204], now in A
          minor.  The previously majestic figure is now transformed
          into a hushed, almost funereal punctuation.  The third,
          more decisive descent is not heard, but there is still an
          implied motion toward D.
          5:45 [m. 240]--Section 5.  The piano again enters
          alone, now with a seemingly new idea.  The expected
          motion toward D major or minor is diverted to F major
          (“relative” to D minor).  The new idea is a broadly
          lyrical theme with a descending right-hand melody.  The
          left hand accompanies in wide arpeggios, arching up and back
          down.  It turns out that the melody is also derived from
          the “majestic” descending figure.  This is confirmed when
          a lower voice is added in the right hand under the distinctive
          downward leap that ends the figure.  This lower voice
          reaches down into the tenor register against left hand
          undulations.
          5:54 [m. 248]--The lyrical melody is repeated a third
          lower in D minor, the originally expected key.
          6:03 [m. 256]--Section 6.  In preparation for the
          coming climax, the strings surreptitiously play the opening of
          the trio theme unison in D minor.  The piano answers with
          a fragment of its convoluted octave pattern.  These
          elements are then combined.  The piano further fragments
          its material to four brief one-bar patterns split between the
          hands and rising steadily.  The strings similarly
          fragment the trio theme, also rising.  As the strings and
          piano both rise, there is a strong buildup. 
          6:10 [m. 264]--The woodwinds enter with a leaping
          octave, then descend.  Against this, the piano’s hands
          join together, still playing the fragments in octaves. 
          As the winds descend, the piano plays another fragment, this
          time punctuated by forceful string leaps.  A piano chord
          signals another wind octave, which is now syncopated. 
          The strings and piano again play against the wind
          descent.  As the piano plays its chord again, the first
          violins join the flutes and oboes on a third octave
          leap.  The lower winds and strings follow in quick
          imitation, creating a strong syncopation.  The tension
          has now reached its breaking point.
          6:18 [m. 272]--Everything culminates in a grand,
          triumphant statement of the main march-like trio theme. 
          In the piano, the theme is presented with chords broken
          between the hands, the right hand following the left. 
          Boosting the piano, the theme is blasted out in radiant
          splendor by horns and trumpets.  Meanwhile, the strings
          play the syncopated sighing figure, the violas and cellos
          alternating with the violins.  This creates an almost
          bell-like effect.  After four measures, the woodwinds
          enter with chords.  The trio theme now moves in a new,
          upward direction, steadily building as the second violins and
          violas move to tremolo.
          6:25 [m. 280]--The climax arrives, appropriately, on
          the descent from Section 4, now in its most resplendent
          garb.  The arrival is punctuated by timpani rolls, and
          the piano drops out, leaving the full orchestra to present
          it.  The initial long-short pattern is reiterated, and
          then the closing is more decisive, with a full D-major
          cadence.  The reiteration extends the phrase to six
          bars.  As massive as this climax is, it abruptly cuts off
          after the final cadence.  The key signature changes back
          to the one flat of D minor.
          6:32 [m. 286]--Re-transition.  Abruptly quiet, the
          clarinets, bassoons, and horns play a vestigial version of the
          descent, harmonized in thirds and back in minor.  The
          strings accompany with plucked arpeggios.  As this fades,
          the piano enters with the familiar four-note upbeat to the
          main scherzo theme in both hands.  The figure is then
          repeated at steadily higher levels with a strong buildup,
          seemingly anticipating the arrival of the
          recapitulation.  Because the figure is only two beats, it
          creates a strong cross-rhythm, or “hemiola.”  After a
          one-beat break, the entire head motive is presented and
          extended upward, with full harmonies split between the hands.
          6:46 [m. 299]--The woodwinds enter with a sharp chord
          that quickly diminishes, cutting off the piano and confirming
          that the buildup has been a false start.  The strings
          enter in imitation against this held chord, cellos, then
          violas, first violins and second violins, suggesting the
          rising arpeggio of the main scherzo theme.  The strings
          reach the top of their ascent and devolve into a high,
          shimmering tremolo.  The woodwinds then subtly
          hint at the surging undulation from the main theme, and the
          string tremolo also introduces gentle descents. 
          Finally, all the instruments reach a suspended held A-major
          chord, the preparatory “dominant” harmony.  This fades
          out in a moment of great anticipation.
          RECAPITULATION (Abbreviated and Varied Scherzo Reprise)
          7:02 [m. 315]--Theme 1.  It is presented
          essentially as at the beginning as far as structure is
          concerned, but the scoring is drastically changed.  This
          is immediately apparent, as the four-note upbeat begins not in
          the piano, but in the strings, which also play the
          continuation.  The piano, for its part, now plays the
          three-note descent formerly taken by the low strings (it is
          supported by the string basses here, who do not play with the
          other strings).  To this it adds rising octave flourishes
          in both hands.  The horns have the same role.  In
          the last six measures, the piano takes over its original role,
          but it is now reinforced by the full string section on the
          same material.  The cellos and basses add two statements
          of the opening motive before the cadence.
          7:15 [m. 331]--The continuation and transition begins
          as at 0:15 and 2:02 [m. 16], with the woodwinds again
          leading.  The imitation, however, is taken by the strings
          instead of the piano, which again plays the three-note descent
          and rising octave flourishes.
          7:25 [m. 342]--At this point, during the undulating
          motion, there is major deviation from the exposition.  As
          in the immediately preceding presentation of the theme, the
          piano and strings join together on material the piano alone
          had played before.  As in the exposition at this point,
          the leaping gesture is extracted and reiterated, but now the
          low strings add repetitions of the four-note upbeat underneath
          it.  In the reiterations of the leaping figure itself,
          the harmony is changed to avoid the A-minor half-close.
          7:35 [m. 353]--The descending syncopated chords briefly
          heard in the piano at the end of this bridge passage before
          are now greatly expanded and incorporate the strings. 
          They continue passionately for eight measures, under which the
          low strings now play the entire head motive of the main theme
          twice, including the four-note upbeat and the upward-shooting
          arpeggio, then continue with an expansion of the
          arpeggio.  The chords of the half-close are recognizable,
          but now they are in the home key of D minor.  As
          expected, the opening of Theme 2 overlaps with this
          half-close, but instead of the full presentation, it is given
          as an anticipatory gesture by the first horn, which reaches a
          held note punctuated by a plucked string chord.
          7:49 [m. 366]--Theme 2 (G minor and D minor).  The
          plucked chord under the horn is a colorful “diminished
          seventh.”  The first statement of Theme 2 is presented,
          not by unison strings, but by unison woodwinds, still marked tranquillo
            e dolce.  The beginning is marked by another
          plucked string chord that confirms the harmonic motion to the
          unexpected key of G minor (the “subdominant”), where the
          woodwind statement is played.  At the end, which was
          previously marked by a downward leap, the woodwinds, joined by
          horns, instead descend twice in harmony, leading back to the
          “correct” D minor key.
          8:01 [m. 377]--As expected, the piano arpeggios overlap
          with the close of the woodwind presentation of Theme 2,
          corresponding to 0:52 and 2:39 [m. 43].  They are in D
          minor, where the first woodwind statement would have been
          expected.  For the first six measures, the piano only
          plays the accompanying arpeggios.  The thematic melody
          itself is played and harmonized by the horns.  The piano
          takes over, using its exposition patterns, from that point as
          the horns drop out.  The extension of the piano’s
          decorated statement leads to a full cadence in A minor,
          corresponding to the arrival on E from A in the exposition.
          8:15 [m. 389]--The piano continuation corresponds to
          1:03 and 2:51 [m. 66], with the left hand arpeggios crossing
          over the right hand, along with the descending plucked
          strings.  There is, as expected, another cadence on A
          minor.
          8:23 [m. 397]--The next statement does correspond to
          1:12 and 2:58 [m. 74], but it is greatly intensified with
          significant alterations.  Brahms prominently adds the
          marking sempre più agitato, which indicates that the
          energy will continue rather than eventually fading, as it did
          in the exposition.  Here, the hand crossing is dispensed
          with, and the right hand plays the arpeggios itself in octaves
          off the beat.  Then the “jagged variant” is restructured,
          with the right hand playing a single wide-ranging line, the
          melodic notes poking  out of the top.  The
          arrangement clearly exposes a duple cross-meter that was not
          as apparent before.  Because the right hand is not
          playing chords, the left hand now punctuates with rolled
          chords.
          8:30 [m. 405]--In broad outlines, this passage
          corresponds to the “melodious extension” from 1:18 and 3:05
          [m. 82], but where that diminished in volume, this builds
          powerfully.  The viola/cello statements of the Theme 1
          opening motive are present where they would be expected, and
          the general contour of the piano right hand follows the
          previous melody.  The key also moves back to D minor, as
          it did from E minor to A minor in the exposition.  Here,
          however, both hands cascade down the keyboard with copious
          double notes.  Where there had been a cutoff and a quiet
          plucked half-close, the piano now thunders into the coda.
          CODA
          8:40 [m. 419]--The piano left hand plays a massive low
          octave D.  Then both hands work up with passionate,
          brilliant patterns alternating chords and single notes,
          clearly derived from the opening motive of Theme 1. 
          Against this, the same woodwinds that played Theme 2 at 7:49
          [m. 366] (flute, oboe, bassoon), play its first four measures
          at the same level, the “subdominant” or G minor. 
          However, the relentless piano continues to assert D minor and
          major.  As the piano reaches a punctuating arrival, it
          begins its pattern again an octave higher.  The violins
          and violas immediately echo the woodwind statement from Theme
          2.
          8:47 [m. 427]--The horns play and hold a low D, further
          asserting the home key note as a “peal point.”  The
          piano, having reached its arrival again, is now very high and
          begins an extremely energetic, almost frenetic downward
          plunge.  This descent is peppered with dissonant
          “diminished” harmonies and patterns beginning on the weak
          second beat of the measure.  After four measures, the
          duple cross-meter seems to assert itself again with a plucked
          low-string D.  There is some resemblance to the tolling,
          leaping “trio” theme.
          8:52 [m. 433]--The main motive of the scherzo theme
          asserts itself again in the violas and cellos as the tumbling
          piano more overtly hints at the “trio” theme in a
          cross-meter.  The piano then abruptly drops out as the
          violins take over the scherzo theme.  At the same time,
          the horns begin to assert themselves with strong syncopated
          harmonies, continuing the cross-meter.  The violins state
          the scherzo motive twice, then pass it back to the violas and
          cellos, who extend the arpeggio up another measure.
          8:59 [m. 442]--The low strings now play their familiar
          three-note descent from the main theme, now in diminished and
          straight note values.  The violins then play the “surging
          undulation,” also in reduced note values.  The effect is
          that these elements of the theme are accelerated, propelling
          the music toward its close.  The piano enters again with
          an arpeggio flourish in both hands.  The undulation in
          the violins is repeated first an octave higher, again with the
          piano flourish.  The violins then bring it up another
          octave, now with the piano flourishes becoming
          continuous.  The woodwinds and brass enter to provide
          support.  This highest statement is extended through
          reiteration and reaches a powerful cadence with timpani.
          9:06 [m. 451]--After this cadence, the piano plays one
          more massive upward surge using the alternating chords and
          single notes from the beginning of the coda.  The full
          orchestra punctuates this surge once, then again as the piano
          reaches the top.  The powerful movement, at first so
          seemingly out of place in a piano concerto, closes with one
          more short chord, then a final held chord from piano and
          orchestra, the piano moving to the lower register for the last
          one.
          9:24--END OF MOVEMENT [457 mm.]
          
        
            3rd Movement: Andante – Più Adagio – Tempo I
            (Ternary form).  B-FLAT MAJOR, 6/4 time.
            A Section--B-flat major
          0:00 [m. 1]--As in the Violin
            Concerto, composed shortly before, Brahms here entrusts
          the presentation of his slow movement’s main theme to another
          instrument.  There it was an oboe, here it is a solo
          cello, typically played by the orchestra’s principal
          cello.  The broad 6/4 meter is reminiscent of the slow
          movement from the much earlier First Piano Concerto.  The
          cello sings forth the theme, which is characterized by broad
          long-short dotted rhythms.  The accompaniment is provided
          by the remaining cellos, violas, and plucked string
          basses.  In the fourth measure, an octave leap briefly
          arrests the motion.
          0:28 [m. 5]--For the next four-bar segment, the solo
          cello adds rising three-note arpeggios leading into the longer
          notes, arching up and back down toward the close of the first
          thematic statement.  During this second phrase, the first
          violins enter with a held high B-flat, from which they descend
          in syncopation after two measures.
          0:56 [m. 9]--The principal bassoon enters.  It
          joins the first violins for the presentation of the consequent
          phrase.  The solo cello joins the other members of its
          section on their descending accompanying line, and the second
          violins join the accompaniment.  The horns also enter
          with with octaves in support of the bassoon.  For three
          measures, the phrase is presented as the first solo cello
          statement, but the halting octave leap is replaced by a more
          flowing continuation, which rises and gently builds in volume.
          1:22 [m. 13]--The solo cello again breaks away and
          plays the high B-flat previously played by the first
          violins.  It is joined on this high note by the entering
          oboe.  The bassoon breaks away from the melody, briefly
          joining the violas on their line.  After one measure, the
          first violins very briefly break for two beats, passing the
          melody to the solo cello and oboe.  They then enter
          again, taking the phrase to its cadence.  The solo
          cello/oboe line provides the syncopated descent that the first
          violins had played before.  At the very end, the oboe
          breaks away from the solo cello and is the only instrument to
          rise up to the cadence.
          1:50 [m. 17]--In a six-bar closing phrase, the other
          wind instruments enter.  The oboe and the solo cello play
          the same two descending arpeggios, but the cello plays a beat
          later than the oboe.  The oboe then continues the melody
          on its own with a gently rocking line, and the cello takes
          over after a measure.  The flutes make their first entry
          against the cello line, harmonizing it above.  The oboe
          again takes over to begin the last two measures.  Its
          syncopated leap down and back up (leading to an interrupted or
          “deceptive” cadence) is echoed by the solo cello (leading to a
          full cadence), rounding out the first orchestral thematic
          presentation.  The violins add a syncopated
          accompaniment.  The cadence arrives as the piano enters.
          2:31 [m. 23]--The piano makes its first entry with two
          quiet, widely upward-winding arpeggios, doubled in octaves
          between the hands, the second reaching a step higher than the
          first.  Both begin low on the keyboard and reach quite
          high by the end, and both interrupt the constant upward motion
          with isolated downward steps, including at the end. 
          Against them, the strings and horns hold quiet chords,
          changing the harmony between them.
          2:52 [m. 25]--The supporting instruments drop out, and
          the piano continues in a rhapsodic cadenza.  The right
          hand breaks into triplet rhythm with a downward-winding line
          while the left hand continues to play its broad arpeggio-like
          figures in straight rhythm.  Because the 6/4 time
          signature is already rich with possibilities for metrical
          ambiguity, this two-against-three rhythm adds another layer to
          it, especially at this slow tempo.  As the right hand
          slowly wends its way downward two octaves and adds lower
          harmonies, the left arches back with it.  After the
          initial two-bar pattern, a similar one follows, the right hand
          starting a seventh (almost an octave) higher.  Here, the
          second bar has greater downward motion.
          3:17 [m. 29]--The rhythms are now reversed, with the
          triplets moving to the left hand.  It plays broadly
          arching arpeggios while the right hand introduces mildly
          upward surging figures in straight rhythm.  After two
          bars, the right hand breads into a series of patterns where
          the lower harmony moves down against syncopated repeated
          notes.  The left hand changes its arpeggios to purely
          upward motion with leaps back down to begin anew, still in
          triplets.  The top syncopated repeated notes gradually
          move down two levels.
          3:41 [m. 33]--On the upbeat, still in m. 32, the right
          hand breaks into a five-note harmonized arching figure against
          shorter left-hand triplet arpeggios.  This figure is
          repeated a third lower, adding a sixth note.  The entire
          right hand pattern is then moved down an octave, and the two
          statements of the figure are heard there.  At this point,
          the volume builds, and the cadenza is rounded off by the right
          hand leaping back up to the treble register for three upbeat
          chords as the left hand begins arpeggios with very low
          octaves.
          3:54 [m. 35]--The orchestra enters with a powerful
          allusion to the main theme in the minor key, complete with tremolos
          in the inner string parts.  This only lasts one measure,
          then the piano begins an angry two-bar sequence of piquant
          trills and rapidly descending downward and upward measured
          arpeggios.  Against them, the string tremolo
          continues.  Ascending cello arpeggios, followed by
          descending wind ones, help suggest a motion toward F minor.
          4:10 [m. 38]--As the second piano surge concludes,
          there is a sharp chord and a held bass note on B-flat. 
          The piano begins a long three-measure series of oscillating,
          undulating chords in triplet rhythm, the left hand closely
          followed by the off-beat right hand.  String arpeggios
          discreetly accompany this, hovering on the harmony of G-flat
          major.  In the third measure, the key moves again toward
          F.  After these three bars, the piano plays a huge
          arpeggio ascent, punctuated by a string chord, still in
          triplet rhythm and still with the right hand closely following
          the left.  This is capped by three powerful chords
          leading to an arrival on F.
          4:33 [m. 42]--With the arrival on F, which now
          functions as the “dominant” harmony, the minor-key allusion to
          the main theme from 3:54 [m. 35] is heard again with the same
          harmonies (suggesting B-flat minor), but with even more
          powerful scoring.  The counterpoint formerly played in
          the low strings is heard in all violins with sharp tremolo,
          doubled by oboes, while the thematic allusion itself is in the
          low strings and bassoons.  There then follows another
          two-bar sequence of the piano’s “angry” trills and rapidly
          measured arpeggios.  These do not follow the same
          harmonic pattern as the first sequence, although the scoring
          and figuration is otherwise similar.  At the end, the key
          seems to move toward E-flat minor.
          4:51 [m. 45]--Here the pattern of oscillating,
          undulating triplet chords from 4:10 [m. 38] is played
          again.  This pattern closely follows the previous
          one.  The held bass pedal note is on E-flat, the string
          arpeggios outline C-flat major, and the key moves back toward
          the minor version of the home key (B-flat minor).  In the
          third measure, the piano’s key signature even changes to
          indicate this.  The large arpeggio ascent follows as
          before with a strong arrival on B-flat, but the piano does not
          participate in the clinching downbeat chord.
          5:15 [m. 49]--The strings hold a chord of B-flat major
          and the volume suddenly diminishes.  The piano again
          begins a rumination using the undulating triplet chords, still
          with the left hand leading the right.  This is now more
          introspective, with much sparser accompaniment.  The
          piano vacillates between major and minor, but the key
          signature for B-flat minor remains in force, only in the
          piano.  After two measures of this, the large arpeggio
          ascent is stated loudly, this time condensing it to three
          statements in a measure and a half.  The undulation
          begins again, louder this time, but it collapses into a
          plunging descent.
          5:52 [m. 55]--The descent arrives at a full cadence in
          B-flat minor, where a transition begins.  The violins
          quietly state a measure of the main theme in minor, followed
          by one of the upward-winding piano arpeggios as heard at 2:31
          [m. 23], played under warm low wind harmony.  The violins
          then play the thematic fragment even more quietly an octave
          lower.  With a shift in harmony, the piano plays a second
          winding arpeggio that reaches high and gently leads to the key
          of F-sharp major for the “Più Adagio” B section. 
          Brahms marks this second arpeggio dolce and indicates
          a significant slowing, ritardando molto.
          B Section--Più Adagio, F-sharp major
          6:30 [m. 59]--Brahms achieves an ethereal, otherworldly
          sound in this middle section through transparent scoring and a
          remote key.  In the first of two six-bar phrases, the
          slow harmonized melody is played by the clarinets, marked ppp
          and dolcissimo.  It is a long-breathed line that
          would provide the melody for a contemporary song
          (“Todessehnen,” Op. 86, no.
          6).  The piano, marked molto espressivo, plays
          wide arpeggios in the left hand, while the right hand plays
          wide leaps that lean into the middle part of the bar and then
          follow the clarinet melody.  A pedal F-sharp in the
          cellos underlies the first four measures.
          7:01 [m. 63]--In the fifth measure, these figures and
          the left hand arpeggios are shortened to fit two in the
          bar.  The cellos move away from the F-sharp, only to come
          back to it.  The sixth measure of the phrase places three
          right hand chords in the first half of the bar, supporting
          three notes in the clarinet melody.  The measure ends
          with a cadence figure, closing the first phrase.
          7:19 [m. 65]--For the second phrase, the clarinets drop
          out, and the remaining strings enter.  The piano has the
          leading line now.  For the first two measures, the
          patterns resemble those of the first phrase, but in the third
          measure, downward leaps are introduced, with two figures in a
          measure.  These are reversed in the fourth measure and a
          descending harmony is added.  As in the first phrase, the
          left hand arpeggios also follow the shortened patterns. 
          The strings, marked ppp, play a similar role to the
          clarinets in the first phrase, but they are clearly
          subservient to the piano here.
          7:53 [m. 69]--The fifth measure continues the upward
          leaps, with two patterns in the bar, while the final measure
          returns to a single wide gesture for the entire bar. 
          These two measures are marked ritardando, slowing to
          an almost glacial pace before the following transitional
          passage.
          8:15 [m. 71]--Re-transition.  Brahms marks a
          return to “Tempo I,” and the solo cello returns, presenting
          the opening melody as at the beginning.  But the key is
          still F-sharp major, indicating that this is not the true
          return.  Nonetheless, the first four measures are
          essentially played unaltered in the new key.  The
          alteration comes with an added fifth measure, in which the
          sighing figure following the arresting leap in the fourth
          measure is reiterated..  Only after this measure does the
          key signature change back to two flats, indicating a motion
          back to B-flat, which begins at the very end of this extra
          bar.
        
          
          8:50 [m. 76]--On the upbeat, the solo cello leaps high
          and works down in an arpeggio, using that arpeggio to make the
          key shift back to B-flat major.  The other strings join
          in, and the piano, absent for the F-sharp-major statement of
          the main theme, subtly enters with another upward-winding line
          in the right hand.  As the solo cello holds a long note,
          the piano emerges into a trill-like motion in both hands that,
          in measured groups, speeds up to an actual trill.  It is
          against this trill that the “proper” reprise in B-flat will
          begin.  The solo cello leads into it.
          A’ Section--B-flat major
          9:06 [m. 78]--Now in the home key, the solo cello
          continues the presentation of the main theme, but the segment
          from 0:28 [m. 5] is skipped.  Instead, the cello plays
          the consequent phrase from 0:56 [m. 9], which it did not play
          before.  This phrase was played by the bassoon and first
          violins.  The violins themselves are absent here, and the
          piano, which had not entered at this point before, continues
          with its trill, making wide leaps of a fourth and a fifth
          doubled in both hands.  After this decoration, the piano
          drops out, leaving the solo cello and low strings alone for
          three measures.
          9:30 [m. 82]--The phrase continues as at 1:22 [m. 13],
          now with the solo cello continuing on the main melodic line
          previously played by violins.  Here, it had broken away
          for a high note with the oboe.  That instrument does
          enter with the note, but now the piano comes in with it,
          playing another trill that begins on the oboe’s high
          B-flat.  After the violas double it for a few notes, the
          oboe has the syncopated descent to itself.  The piano
          plays another trill, then breaks into a rapid, decorative
          seven-note arching figure in contrary motion between the
          hands, which expand outward.  As the cello and oboe
          continue with the main lines, the piano gradually moves down,
          alternating trills and seven-note arpeggios.
          9:56 [m. 86]--The closing phrase from 1:50 [m. 17] is
          expanded from six to eight measures.  The first two, with
          the close imitation on descending arpeggios between the oboe
          and solo cello, are presented as they were before.  They
          are followed by the two-bar expansion, which continues the
          same idea  The flute now takes over the syncopated
          arpeggios from the oboe, and the solo cello breaks into two
          sequential six-note scale descents against them.  These
          are rapturous in their effect.  At the same time, the
          piano enters with a new series of triplet-rhythm arpeggios
          alternating between the hands, the right hand moving up
          followed by the left hand moving down.  These delicate
          arpeggios wonderfully complement the flute and cello lines.
          10:21 [m. 90]--The closing phrase continues.  The
          solo cello presents both statements of the gently rocking
          continuation instead of echoing the oboe.  In the first,
          it is supported by the other strings, and in the second by the
          winds.  The oboe doubles and the flute plays its original
          upper harmony.  The piano changes its figuration, with
          the hands now moving continuously together, still in contrary
          motion.  Before the syncopated leap down and back up (in
          which the cello continues, joining the flute and oboe), the
          left hand begins to play straight duple rhythm against the
          right hand’s triplets.  For the figure itself, and the
          cello’s echo of it (supported by syncopated violins as
          before), both piano hands have rising harmonies.  These
          last two bars, with the “deceptive” cadence followed by the
          full arrival, slow down in preparation for the coda.
          Coda--Più Adagio
          10:57 [m. 94]--This point is analogous to the first
          piano entry at 2:31 [m. 23], and indeed the coda begins with
          the same two winding arpeggios.  The only changes are
          subtle.  The main one is that the solo cello plays a
          larger role, adding downward, partly chromatic steps on the 5th
          beat of each measure.  This necessitates some minor
          chromatic alterations to certain notes in the piano
          figures.  The second one is actually less chromatic than
          before.  Brahms does add new rolled chords to the left
          hand at the end of each figure.  From here, the remainder
          of the A section, beginning with the piano cadenza, is
          cut.
          11:18 [m. 96]--The piano cadenza heard here before is
          replaced by a new, atmospheric cadenza-like passage based on a
          continuous trill.  The low strings and horns drop
          out.  A rolled chord leads to the trill, which becomes
          continuous in the top line.  The trill moves steadily up
          by step, and under the third note, a descending arpeggio in
          triplets begins, with some added colorful harmonies and one
          leap back up.  The triplets then dissolve into a faster
          upward arpeggio under the last trilled note, A to
          B-flat.  At the same time, the solo cello enters with a
          held E-flat.  This note has a fermata in both
          instruments.  The cellist determines how long it lasts,
          as the cello has a descending arpeggio before the piano’s
          final turn to the cadence.
          11:52 [m. 98]--The fermata and the trill make
          this arrival extremely fulfilling.  The wind instruments
          enter with a held B-flat chord as the piano and cello reach
          it.  Then the piano plays one last harmonized upward
          sweep, all on the chord of B-flat major.  The strings
          punctuate this halfway through the penultimate measure (m. 98)
          and they then enter in support of the final bar, which is
          marked with another fermata.
          12:17--END OF MOVEMENT [99 mm.]
          
        
            4th Movement: Allegretto grazioso – Un poco più
            presto (Sonata-Rondo form with extended coda). B-FLAT MAJOR,
            2/4 time.
         EXPOSITION
          0:00 [m. 1]--Theme 1 (Rondo Theme).  The piano
          begins directly with the presentation of the bouncy, initially
          delicate main theme.  The right hand plays it in
          octaves.  It is characterized by persistent dotted
          (long-short) rhythms.  A half-step downward turn is
          followed by a brief descent, and then it works upward with a
          rising flourish.  The second half of the phrase combines
          the downward turn with the rising figure.  Against this,
          the left hand plays widely-spaced three-note rising arpeggios,
          two in a bar.  All of this is heard over four gently
          upward- and downward-arching figures in the violas.  The
          theme avoids an arrival on the main key until the end,
          focusing initially on the “subdominant” (E-flat) and
          “dominant” (F) harmonies.
          0:11 [m. 9]--The theme’s opening phrase is repeated by
          the first violins.  The other strings support with
          plucked harmonies.  The gently arching viola figures
          alternate between flute/oboe and clarinet/bassoon pairs. 
          The piano, meanwhile, breaks directly into light staccato
          arpeggios, including some two-note harmonies, switching
          between downward and upward motion.
          0:19 [m. 17]--The contrasting phrase of the theme is
          first presented by the piano unaccompanied.  It begins on
          the upbeat, right after the conclusion of the previous
          phrase.  It contrasts with its narrower range and with
          added harmonies in the right hand, including thirds.  A
          closing turn is played in thirds.  The left hand
          accompaniment is again in wide arpeggios, but a fourth, lower
          note is added to them.
          0:25 [m. 21]--The first violins begin a repetition of
          what the piano has just played, supported still by the other
          plucked strings.  The piano itself breaks into arching,
          partly harmonized arpeggios in the right hand.  After the
          first two bars, however, there is an extension through
          repetition, and the piano right hand begins to harmonize and
          imitate the violins, twice making large upward leaps.  A
          two-bar unit is repeated, then fragmented with a colorful
          chromatic note (D-flat), and the closing turn is avoided.
          0:33 [m. 28]--The piano takes over as the violins join
          the rest of the plucked strings.  It further fragments
          the material, isolating the descending dotted rhythm. 
          Then it breaks into a highly atmospheric, rapid rising scale
          harmonized in thirds.  This scale is divided into
          seven-note units on each beat.  Against it, the first
          violins take bows again and isolate the dotted rhythm, leaping
          down a fourth and repeating it four times.  Flutes,
          oboes, and horns enter with a sustained chord against the
          scale.  After the scale, the piano breaks into a trill in
          the right hand and a sequence of four light descending
          arpeggios in the left, leading to the return of the opening
          material, which will function as a transitional bridge.
          0:41 [m. 35]--Transition based on main rondo
          theme.  The opening of the theme appears to return again
          in the violins, with the piano playing its light, partially
          harmonized arpeggios.  But this only continues for four
          bars.  For the first time, there is a buildup in
          intensity.  The full wind section enters as the piano
          briefly drops out.  All strings take their bows, and the
          violins isolate the dotted-rhythm downward turn with the
          following rising figure.  Then they fragment it further,
          isolating only the measure with the rising figure.  All
          of this gradually moves up in a sequential way.
          0:52 [m. 45]--The piano enters with a powerful
          statement based on the dotted-rhythm downward turn.  The
          left hand strides up in confident octaves leaping between
          B-flat and F.  The orchestra, led by the violins,
          immediately responds with the rising figure and the following
          closing gesture.  The piano repeats its powerful
          statement.  The orchestra responds again, but this time
          the response is changed in harmony and moves toward D minor.
          1:01 [m. 53]--The rising figure and closing gesture are
          again stated by the orchestra with different harmony, briefly
          moving back home to B-flat.  Then the rising figure is
          twice isolated, rising higher, with the leaping bass sliding
          up to B-natural and then C.  The violins, supported by
          loud wind chords, isolate the dotted rhythm, leaping down
          between C and the B-natural a ninth (a step more than an
          octave) below.  The piano takes over with this leap in
          octaves between the hands, cutting off the orchestra. 
          After two bars, the right hand moves the same leap up a third,
          harmonizing with the left.  The piano rapidly diminishes
          in volume.  Three descending chords with quiet horn
          support lead to the key of A minor.
          1:15 [m. 65]--Theme 2, Part 1 (First episodic theme in
          A minor).  The secondary and closing theme complex
          includes three elements.  The key signature here changes
          to one flat in anticipation of the second and third of these
          in F major, but the first and most prominent is in the
          unexpected key of A minor.  It is one of Brahms’s
          “Hungarian”-inspired melodies, with a wistful, sighing
          harmonized melody.  It is played initially by flutes,
          oboes, and bassoons.  The piano lightly accompanies with
          skipping chords in triplet rhythm alternating between hands
          and gradually moving upward.  After four measures, the
          strings take over from the winds.
          1:25 [m. 73]--The answering phrase to the “Hungarian”
          theme again alternates between the woodwind and string groups,
          reaching a full cadence in A minor.  The piano chords are
          now more continuous, with the hand alternation creating the
          effect of 3/4 meter superimposed upon the main 2/4 heard in
          the thematic presentation of the winds and strings.  Each
          bar has a new upward-moving group of piano chords.
          1:34 [m. 81]--Theme 2, Part 2 (Second episodic theme in
          F major).  The first closing theme is presented by the
          piano.  The motion to F major is direct.  It begins
          with a gesture in sighing chords.  The right hand then
          continues with an undulating triplet-rhythm harmonized in
          thirds.  The left hand settles on leaping octaves. 
          The strings lightly accompany with two-note phrases
          emphasizing upward half-step motion.  The second
          statement of the sighing chords is again followed by the
          triplets, this time harmonized in sixths and moving briefly
          back toward A minor.
          1:44 [m. 89]--The clarinets present the “answering
          phrase.”  The first four measures closely follow the
          piano statement.  The leaping bass is transferred to the
          plucked cellos and the half-steps to the bassoon.  The
          closing half-phrase, however, is changed, with the sighing
          harmonies moving down and the following triplets (in sixths
          and thirds) twice pausing on the second beat, leading toward a
          cadence in F major.  The upper strings gradually enter,
          also playing pizzicato.
          1:54 [m. 97]--Theme 2, Part 3 (Third episodic theme in
          F major).  The piano presents this lighthearted
          theme.  The right hand is quite high.  The theme has
          long downbeats and trill-like upbeats.  The left hand
          plays rising arpeggios against the longer notes.  The
          plucked strings accompany with solid downbeats and responding
          chords on the upbeats.  Halfway through the phrase,
          clarinets and horns enter with a gentle descent to mark the
          half-close.  The second half of the phrase adds color
          with a very brief hint at A major/minor.  Its close is
          again punctuated by clarinets and horns.
          2:03 [m. 105]--As in the second episodic theme, the
          “answering phrase” is given to woodwinds.  Here, it is
          the flute and oboe.  The piano adds a new
          counterpoint.  It begins with two rising scale patterns
          harmonized mostly in thirds, doubled an octave apart in both
          hands.  These are in rapid triplet rhythm, as is the
          continuation, where the thirds give way to trill-like motion,
          still in triplet rhythm.  These two elements, the rising
          thirds and the trill-like motion, alternate a second
          time.  The flute/oboe statement of the melody leads to a
          full cadence in F major, where a piano trill in both hands
          leads to a cascading scale descent.
          2:12 [m. 113]--The elements of Theme 2 (or the three
          episodic themes), having been presented, are now partially
          stated again in a different order, using the established keys
          of B-flat major, F major, and A minor.  The previous
          cadence leads to the first phrase of the second one, now in
          B-flat.  It is played by the violins, again with plucked
          cellos giving the mainly octave leaps in the bass.  The
          piano decorates the first four bars with staccato
          arching arpeggios, then trills leading to a half-close. 
          In the second part of the phrase, a flute takes the arching
          arpeggios, which are then passed to the piano against the
          violin triplets.  This phrase closely follows the F-major
          statement at 1:34 [m. 81], and moves toward D minor.
          2:21 [m. 121]--Now the first phrase of the third
          episodic theme is heard, presented by the piano as at 1:54 [m.
          97].  The hint of A major/minor at the end is now
          confirmed, as there is a full motion to A minor.  There
          is a new descending horn entry against the last few measures.
          2:31 [m. 129]--Unexpectedly, but naturally, the first
          episodic theme is presented again in its original key of A
          minor.  The original wind instruments do play it, but now
          they dovetail every measure with the piano, which takes over
          and then passes back to the winds.  Piano arpeggios that
          accompany the winds lead seamlessly into the piano’s portions
          of the melody.  This pattern  is used for the first
          phrase from 1:15 [m. 65].  Plucked cellos and basses
          punctuate the downbeats.
          2:40 [m. 137]--The answering phrase more closely
          follows its presentation at 1:25 [m. 73].  The piano in
          particular follows its previous pattern with alternating hands
          suggesting a superimposed 3/4 meter.  The major
          difference is that now the strings present the entire phrase
          rather than the woodwinds playing the first part.
          2:50 [m. 145]--The second episodic theme follows again,
          now in its original key of F major.   Since the
          first phrase was played at 2:12 [m. 113], the second phrase is
          now given by its original instruments, the clarinets, as at
          1:44 [m. 89].  After the first four bars, however, a new
          element is introduced.  Very quietly (ppp), the
          violins and violas, in syncopation off the beat, play the
          motion to the cadence in F major.  This alteration to the
          end of the phrase serves to introduce the transition back to
          the main (rondo) theme.
          3:00 [m. 153]--Transition.  The plucked strings,
          beginning with the cellos and moving through violas, second
          and first violins, repeatedly play the fifth F-C against a
          held F-major chord in clarinets, horns, and oboes.  The
          piano left hand then takes up this constantly rising fifth
          while its right hand plays two short two-note descending
          figures off the beat, followed by a longer plunge.  The
          entire pattern is then repeated on the fifth D-A against a
          D-major chord (with mild hints at D minor in the right hand
          figures). 
          3:09 [m. 161]--The strings hold a “diminished seventh”
          chord, using that flexible harmony to move back toward the
          E-flat harmony that opens the main rondo theme.  The
          piano continues with similar figuration using the descending
          plunge, also on this harmony.  After two bars, the
          violins anticipate the undulating motion of the main theme,
          but without the dotted rhythm as the piano isolates shorter
          figures.  This leads back to a welcome return of the
          rondo theme’s opening phrase.
          3:14 [m. 165]--Theme 1 makes a return to close off the
          exposition and initiate the development section, as is typical
          in a sonata-rondo hybrid form.  This time, it is given a
          new and fresh scoring, with the oboe playing the main
          melody.  The piano magically combines its original left
          hand line from the beginning with right hand figures that
          continue the pattern of the previous transition.  The
          violas play their original arching counterpoint.  The
          other strings join, but they are plucked, the first violins
          partially outlining the theme.  Only the opening phrase
          is played as a return.
          DEVELOPMENT
          3:21 [m. 173]--First section.  The piano emerges
          from the oboe statement with a descending arpeggio on the
          upbeat.  The key shifts down a step to A-flat
          major.  There, the cellos begin a variant of the main
          rondo theme that focuses on the descending line in dotted
          rhythm.  The first violins play a fresh new
          counter-melody that features a prominent upward leap at the
          end.  The piano, meanwhile, continues its established
          figuration, incorporating both upward and downward
          motion.  After four measures, it takes over for the
          violins and cellos, providing a continuation that isolates a
          rising flourish from the theme and adds strong syncopation
          across the bar line.  This surges, then tumbles toward
          the next statement.
          3:32 [m. 181]--The key makes another abrupt shift, this
          time to the remote E major.  Here, the statement just
          heard is repeated with the violins and cellos exchanging their
          parts, the cellos now taking the new counter-melody.  The
          piano continuation begins as before, with different
          harmonization, but just before the last measure it introduces
          a cross-grouping over the bar line and erupts into an
          upward-shooting arpeggio with three fast triplets in the right
          hand.  These lead toward C major.
          3:41 [m. 189]--The piano cuts off and the orchestra
          takes over alone with the entry of the wind instruments. 
          Beginning in C major, there is a passage that starts with the
          head motive of the main rondo theme, then devolves into a
          sequence based on the descending line in dotted rhythm. 
          This descending line is repeated up a half-step.  It then
          begins up another half-step, but quickly breaks off before
          shifting up yet again and continuing down as expected. 
          The accents are placed in a way that feels syncopated, and the
          strong entries of the wind instruments right before the bar
          lines increase this feeling.  This last descent has
          arrived on the unison note A-sharp.  Still in unison, the
          instruments powerfully leap up to G and back down to A-sharp.
          3:54 [m. 202]--The A-sharp is the “leading note” in the
          key of B minor, and in that key, the piano jumps in with
          sudden force, playing a series of ascending broken chords with
          triplets in the right hand and straight rhythm in the
          left.  These lead to a half-close a fifth higher, in
          F-sharp minor.  The strings accompany lightly. 
          There then follows a rising sequence based on the opening
          dotted rhythm of the rondo theme, with the figure moving up by
          half-step in the right hand.  The left hand plays arching
          arpeggios.  Horns and cellos lightly support before
          clarinets and violas enter.  The passage is lyrical, but
          intense.  It leads back to B minor, and the piano plays a
          rising arpeggio in slow triplets to close it off.
          4:08 [m. 212]--The orchestra drops out, and the piano
          alone returns to the long-absent contrasting phrase of the
          main rondo theme as heard at 0:19 [m. 17].  It is
          transformed into a wistful version in B minor.  After the
          first four measures, it develops into a cadenza-like
          extension.  This isolates the closing turn and changes it
          to both down-up and continuously descending motion.  The
          right hand is harmonized mostly in sixths, but also in thirds
          and fourths.  The left hand accompaniment incorporates
          the familiar arching motion along with triplet
          arpeggios.  The mini-cadenza remains in B minor for some
          time, but moves toward D minor and closes with a
          briefly-slowing left-hand arpeggio outlining a colorful
          “diminished seventh” chord.
          4:30 [m. 228]--Second section.  Brahms places a
          “caesura,” or full break, before the upbeat of m. 227. 
          The piano then resumes the figuration as heard in the
          preceding “mini-cadenza.”  It is interrupted by the
          orchestra, which asserts the dotted-rhythm descending line
          used through much of the development section thus far. 
          There is then another alternation between the “mini-cadenza”
          material in the piano and the descending line in the
          orchestra.  The entire passage is in D minor.  The
          orchestra lands on a unison C-sharp, the “leading tone,” and
          plays the powerful leap up and back down as heard before 3:54
          [m. 202].
          4:42 [m. 238]--As at 3:54 [m. 202], the piano plays the
          forceful broken chords, now in D minor leading to a half-close
          in A minor.  The rising sequence also follows, leading
          back to D minor as expected, with a slight change in scoring
          at the point of the rising slow-triplet arpeggio, where the
          upper strings all enter.  There is then a second arpeggio
          on the “dominant” chord in D minor, which Brahms marks with a
          slight slowing.  Then, in the briefest of re-transitions,
          the piano re-harmonizes its upper note and the left hand leaps
          down to a low F, the “dominant” note in the home key of B-flat
          major.  This quietly intense, atmospheric chord is held,
          creating great anticipatory tension.
          RECAPITULATION
          5:03 [m. 252]--Brahms marks another “caesura” before
          the upbeat of m. 251.  This pause prepares the
          recapitulation in the home key of B-flat major.  Because
          of its use throughout the development, and because of its
          opening on the “subdominant” E-flat harmony, Brahms omits the
          first phrase of the main rondo theme and its repetition. 
          He opens with the contrasting phrase from 0:19 [m. 17], which
          has just been used as the basis for the “mini-cadenza.” 
          Its first part is played by the piano alone exactly as in its
          first appearance.  The only difference is a new marking
          of dolce.
          5:09 [m. 256]--Violin repetition, extension, and
          fragmentation of phrase with piano arpeggios, harmonization,
          and imitation, as at 0:25 [m. 21].
          5:18 [m. 263]--The continuing piano fragmentation
          follows as at 0:33 [m. 28].  The atmospheric scale in
          thirds follows as expected, bit it is now more complex and
          difficult.  Brahms has the right hand play the scale in
          thirds by itself, where the left hand played the lower third
          before.  The left hand is given a new rising and
          zigzagging line in fourths and fifths, played in groups of six
          that clash with the seven-note groups in the scale. 
          These groups of six are also used under the trill for the
          descending arpeggio, which now has eight three-note descents
          instead of four four-note descents during the two measures of
          the trill.  The orchestral material, including the
          leaping violins, is unchanged.
          5:27 [m. 270]--Transition based on main rondo theme
          with buildup in intensity, as at 0:41 [m. 35].
          5:37 [m. 280]--An unexpected insertion is heard
          here.  It is based on the rising flourish from the first
          phrase of the theme.  The piano repeats the flourish four
          times, with the left hand leaping up or down an octave between
          each one.  The last of these shifts its final two notes
          upward, leading to an orchestral interruption that is a
          restatement of its last measure before the interruption, moved
          up a half-step.  The piano takes up repetitions of the
          rising figure again, stating it seven times, again with the
          left hand leaping between them.  The first two notes of
          each are unchanged, but the last two gradually shift upward
          after each pair, beginning with the second and third of
          them.  An eighth figure is a higher-reaching arpeggio
          that ends the insertion.
          5:44 [m. 287]--Analogous to 0:52 [m. 45].  The
          piano’s powerful statements are similar, especially in the
          bass, which still strides between B-flat and F.  The
          right hand, however, is a third higher and suggests a shift to
          minor, still on B-flat.  This is confirmed by the
          orchestral response, which replaces the rising figure with a
          zigzagging one.  The repetition follows as expected, and
          the orchestral response again emphasizes B-flat minor and its
          relative major, D-flat.
          5:53 [m. 295]--Analogous to 1:01 [m. 53].  The
          restatement of the rising (now zigzagging) figure and closing
          gesture is omitted.  The figure is twice isolated, now
          moving in a downward direction, and the leaping bass slides
          from G-flat to G to A-flat.  The leaping violins on the
          dotted rhythm jump down from A-flat to the G a ninth
          below.  The piano takeover adds two measures, repeating
          the violin leaps before moving to its original condensed
          leaps.  Instead of the right hand moving up a third after
          two bars, both hands move up a half-step.  The descending
          chords with horn support follow, but they are unexpectedly
          extended two bars, with one chord in each, leading to D minor.
          6:10 [m. 309]--Theme 2, Part 1 (First episodic theme in
          D minor).  This presentation closely follows its
          analogous original statement in A minor at 1:15 [m. 63]. 
          D minor has the same relationship to the home key of B-flat as
          A minor did to F major, where the other subsidiary themes were
          heard.  The piano figuration, with the alternating,
          skipping chords in triplet rhythm, is similar.  The major
          difference is that the first four measures of the harmonized
          melody are played by the strings, and the next four are taken
          by the woodwinds, reversing the process from the
          exposition.  Clarinets also replace flutes in the wind
          section.
          6:19 [m. 317]--Answering phrase, analogous to 1:25 [m.
          73].  The piano again has the continuous figures creating
          the effect of a superimposed 3/4.  As in the first
          phrase, the strings begin and the winds follow, reversed from
          the exposition.  It leads to a full cadence in D minor.
          6:29 [m. 325]--The second episodic theme with the
          sighing gestures and undulating triplets is omitted at this
          point.  It is replaced by a new transition in the piano,
          derived from a leaping gesture at the end of the first
          episodic theme.  This leaping gesture takes on an almost
          martial character, with powerful syncopated right hand chords
          and large leaps from bass notes to chords in the left
          hand.  The chords are punctuated by trill-like gestures
          derived from the third episodic theme.  After the
          first four measures, the chords start again, but this time the
          trill-like figures are replaced by another leap and then a
          gentle descent, moving the key from D minor home to
          B-flat.  The whole passage is accompanied by plucked
          string chords.
          6:39 [m. 333]--Theme 2, Part 3 (Third episodic theme in
          B-flat major).  It is only given one phrase, as opposed
          to its three different phrases in the exposition.  It is
          scored like the answering phrase at 2:03 [m. 105]. 
          Brahms employs the piccolo instead of the regular flute for an
          exceedingly joyous effect.  The decorative piano figures
          from that statement are also given, the triplet scales
          harmonized in thirds and then the trill-like figuration. 
          The musical direction, however, follows the statement at 2:21
          [m. 121], leading into the restatement of the first episodic
          theme and a return to D minor.  The piano’s trill-like
          figures slow down to a descending arpeggio in straight rhythm
          in both hands.
          6:49 [m. 341]--Return of first episodic theme,
          analogous to 2:31 [m. 129].  The dovetailing effect
          previously heard between the piano and winds is preserved, but
          here the strings replace the winds.  The answering phrase
          is omitted in favor of a four-bar extension that continues the
          dovetailing effect and moves downward, diminishing in volume.
          7:06 [m. 353]--Transition to Coda.  The second
          episodic theme, absent to this point in the recapitulation, is
          now used to close it off.  Shifting abruptly back to
          B-flat, the clarinets begin to present it, as they originally
          did in the answering phrase, with the leaping bass in plucked
          cellos.  But then the triplets are unexpectedly taken
          over by the oboe in a single line, turning to the “relative” G
          minor, supported by violins and violas.  The clarinets
          enter again with the sighing gestures, now in G minor, and the
          piccolo joins the oboe on the triplet response, which is a
          fourth lower, the violins and violas again providing support.
          7:16 [m. 360]--Unexpectedly, the piano emerges into the
          atmospheric scale in thirds, played with the new zigzagging
          left hand line as it was during the passage at 5:18 [m.
          263].  But now its two measures, each of which covers two
          octaves, are interrupted by a trill in both hands.  This
          trill also follows the second measure of the scale.  The
          only orchestral support is an octave in the horns. 
          Following the second trill, the piano hovers on a series of
          arpeggios in contrary motion, grouped so that there is a
          syncopated emphasis on the second note in each group of four
          sixteenth notes.  The cellos, then violas rise against
          the piano figures in slow leaps.  D major is suggested,
          leading toward G minor or major.
          7:27 [m. 369]--An artful harmonic pivot leads to
          harmony on E-flat, which is of course associated with the
          beginning of the main rondo theme.  Bassoons and horns
          present a skeletal, but recognizable version of its opening
          figure, without the dotted rhythm.  The piano plays
          delicate and tender arpeggios in alternating contrary motion
          against it.  The violas and cellos then take over the
          continuation of the rondo theme without the dotted rhythm, the
          piano arpeggios coming together in three-note
          cross-rhythms.  The alternation, including the piano
          arpeggios, is repeated a second time as the basic outline of
          the theme’s first phrase is completed.  This leads
          suddenly and directly into the new tempo for the extended
          coda.
          CODA – Un poco più presto
          7:37 [m. 377]--First section.  On its own and in
          the suddenly faster tempo, the piano launches into a skittish
          version of the main rondo theme in triplets, whose persistence
          suggests an actual shift to 6/8 time (which is not
          indicated).  Rapid rolled chords in the left hand are
          followed by right hand responses in octaves, often moving in
          scale patterns.  The first phrase and the contrasting
          phrase are clearly recognizable, the latter following directly
          upon the former.  In the contrasting phrase, plucked
          strings enter as a punctuation after four bars, and the
          outline of its original extension is even clear, though
          shortened by one bar.  The volume builds, and the passage
          culminates on a hammered descending fourth.
          7:55 [m. 398]--The full orchestra suddenly enters on
          the hammered descending fourth, the piano moving to rolled
          chords in both hands.  At the same time, the harmony
          abruptly shifts to D major for four measures of this
          hammering, the piano dropping out after two of them.  The
          harmonic shift also matches the original theme.  A
          sweeping violin scale leads to G major, where the next section
          begins.
          7:58 [m. 402]--Second section.  In G major, the
          orchestra briefly abandons the triplet rhythm and implied 6/8
          time and returns to the theme’s familiar dotted rhythm,
          marching powerfully down the scale before again emerging again
          into the hammered descending fourth.  Another sweeping
          violin scale, with a subtle downward turn, leads to E-flat
          major, where the entire sequence is heard again with a
          four-measure extension on the hammered fourth.  The piano
          is absent for this entire passage.
          8:15 [m. 422]--The piano now enters powerfully, taking
          over the triplets in octaves and converting the descending
          fourth to a third.  This third is obsessively repeated
          for seven straight measures, under which the strings and
          bassoons hold harmonies, then gradually expand outward with
          the bass instruments descending by half-step and the violins
          also rising mostly by half-step.  After the obsessive
          seven measures, the piano triplets slide upward, arriving on
          F, which will serve as the “dominant” to re-establish the home
          key of B-flat.  The piano octaves now tumble downward to
          underscore this arrival.  Through the whole passage, the
          volume diminishes, then swells and recedes again at the upward
          slide.
          8:23 [m. 432]--Third section.  Definitively in the
          home key, the low strings play the opening turn and descending
          line from the main theme.  The descending line is
          immediately imitated one measure later by the violins and
          violas, and a measure after that by flute and clarinet.
          Meanwhile, the piano continues the triplet rhythm, alternating
          highly decorative broken octaves and harmonies (mainly thirds)
          in contrary motion between the hands.  The imitation
          sequence is then repeated with the same instruments, minus the
          opening turn in the low strings and with the first notes of
          the descending line moved up a half-step.
          8:30 [m. 440]--The entire sequence from 8:23 [m. 432]
          is repeated with slight variation.  The entries are
          reversed, but the first statement of the opening motive and
          descending line originally played by low strings is played by
          the oboe instead of flute and clarinet.  Imitation by
          violins and violas, then low strings follows.  The piano
          figuration reverses the order of the hands, so that the right
          hand leads the left.  In the repetition, the flutes and
          clarinets, now with lower harmony, replace the oboe.
          8:37 [m. 448]--Fourth section.  The violas and
          cellos isolate the opening dotted-rhythm turn of the theme as
          the piano continues its triplet figuration in alternating
          contrary motion between the hands.  After two measures,
          the violas and cellos use the rhythm to slide up four
          half-steps before settling on a held A.  The volume
          builds.  
          8:41 [m. 452]--The piano emerges into a new bell-like
          pattern alternating “outer” thirds and seconds with “inner”
          single notes, the hands still in contrary motion.  The
          horns enter on the rhythm with a repeated F against the held
          viola/cello A.  Those instruments, still on the dotted
          rhythm, move up to a held C, against which the horns again
          pulse on F.  Violas and cellos begin the pattern once
          more, then slowly rise with a double-dotted (longer first
          note) rhythm, the horns adding shorter pulses on the long
          notes, as the piano continues its bell sounds. 
          Everything abruptly cuts off with a very brief pause for
          breath, leaving hanging the harmony of D minor and its
          “leading tone.”
          8:47 [m. 460]--Fifth section.  The piano plays an
          upward sweeping arpeggio reminiscent of the theme’s rising
          flourish.  The theme itself begins again in the full
          orchestra.  It is interrupted after the descending line
          by a repetition of the piano arpeggio, which the violins join
          at the end.  The orchestra begins again, extending the
          opening half-step turn before descending.  The piano now
          plays two shorter arpeggios punctuated by full orchestral
          chords that mark a powerful, definitive cadence on B-flat.
          8:58 [m. 472]--Sixth (final) section.  At the
          cadence, the piano rings out forceful octaves, leaping down a
          ninth and supported by wind chords.  After two measures,
          the strings imitate these.  Before they can finish, the
          piano sweeps upward in an arpeggio.  This continues,
          moving down and up in wave-like motion, as the first violins
          use the dotted rhythm to circle around the key note
          B-flat.  The other strings slide down by half-step. 
          The winds enter and join the strings on chords against the
          piano’s continuing wave-like arpeggios.  The top line of
          these slower chords again circles around B-flat as the bass
          again slides down.
          9:10 [m. 484]--The piano’s wave motion cuts off. 
          Two sweeping arpeggios, each with nine rapid notes in both
          hands, rise up the full length of the keyboard against held
          B-flat chords in the orchestra.  After the second of
          these arpeggios reaches its closing chord, the piano and
          orchestra punctuate it with another short chord.  This
          prepares the final held chord, which brings this massive
          concerto to its close.
          9:29--END OF MOVEMENT [488 mm.]
          END OF CONCERTO
          
          
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