Piano Concerto No. 24 (Mozart)

The Piano Concerto No. 24 in C minor, K. 491, is a concerto composed by Wolfgang Amadeus Mozart for keyboard (usually a piano or fortepiano) and orchestra. Mozart composed the concerto in the winter of 1785–1786, finishing it on 24 March 1786, three weeks after completing his Piano Concerto No. 23 in A major. As he intended to perform the work himself, Mozart did not write out the soloist's part in full. The premiere was in early April 1786 at the Burgtheater in Vienna. Chronologically, the work is the twentieth of Mozart's 23 original piano concertos.

The work is one of only two minor-key piano concertos that Mozart composed, the other being the No. 20 in D minor. None of Mozart's other piano concertos features a larger array of instruments: the work is scored for strings, woodwinds, horns, trumpets and timpani. The first of its three movements, Allegro, is in sonata form and is longer than any opening movement of Mozart's earlier concertos. The second movement, Larghetto, in E♭ major—the relative major of C minor—features a strikingly simple principal theme. The final movement, Allegretto, is a theme and eight variations in C minor.

The work is one of Mozart's most advanced compositions in the concerto genre. Its early admirers included Ludwig van Beethoven and Johannes Brahms. Musicologist Arthur Hutchings declared it to be, taken as a whole, Mozart's greatest piano concerto.

Background
Mozart composed the concerto in the winter of 1785–86, during his fourth season in Vienna. It was the third in a set of three concertos composed in quick succession, the others being No. 22 in E♭ major and No. 23 in A major. Mozart finished composing the No. 24 shortly before the premiere of his comic opera The Marriage of Figaro; the two works are assigned adjacent numbers of 491 and 492 in the Köchel catalogue. Although composed at the same time, the two works contrast greatly: the opera is almost entirely in major keys while the concerto is one of Mozart's few minor-key works. The pianist and musicologist Robert D. Levin suggests that the concerto, along with the two concertos that precede it, may have served as an outlet for a darker aspect of Mozart's creativity at the time he was composing the comic opera.

The premiere of the concerto was on either 3 or 7 April 1786 at the Burgtheater in Vienna; Mozart featured as the soloist and conducted the orchestra from the keyboard.

In 1800, Mozart's widow Constanze sold the original score of the work to the publisher Johann Anton André of Offenbach am Main. It passed through several private hands during the nineteenth century before Sir George Donaldson, a Scottish philanthropist, donated it to the Royal College of Music in 1894. The College still houses the manuscript today. The original score contains no tempo markings; the tempo for each movement is known only from the entries Mozart made into his catalogue. The orchestral parts in the original score are written in a clear manner. The solo part, on the other hand, is often incomplete: on many occasions in the score Mozart notated only the outer parts of passages of scales or broken chords. This suggests that Mozart improvised much of the solo part when performing the work. The score also contains late additions, including that of the second subject of the first movement's orchestral exposition. There is the occasional notation error in the score, which musicologist Friedrich Blume attributed to Mozart having "obviously written in great haste and under internal strain".

Overview
The concerto is divided into the following three movements:

1. Allegro in C minor,

2. Larghetto in E♭ major,

3. Allegretto (Variations) in C minor,, with the eighth variation and coda in

The concerto is scored for one flute, two oboes, two clarinets, two bassoons, two horns, two trumpets, timpani and strings. This is the largest array of instruments for which Mozart composed any of his concertos.

It is one of only two of Mozart's piano concertos that are scored for both oboes and clarinets (the other, his concerto for two pianos, has clarinets only in the revised version). The clarinet was not at the time a conventional orchestral instrument. Robert D. Levin writes: "The richness of wind sonority, due to the inclusion of oboes and clarinets, is the central timbral characteristic of [the concerto]: time and again in all three movements the winds push the strings completely to the side."

The solo instrument for the concerto is scored as a "cembalo". This term often denotes a harpsichord, but in this concerto, Mozart used it as a generic term that encompassed the fortepiano, an eighteenth-century predecessor of the modern piano that among other things was more dynamically capable than the harpsichord.

I. Allegro
The first movement is longer and more complex than any that Mozart had previously composed in the concerto genre. It is in 3/4 time; among Mozart's 27 piano concertos, No. 4 in G Major, No. 11 in F major and No. 14 in E♭ major are the only others to commence in triple metre.

The first movement follows the standard outline of a sonata form concerto movement of the Classical period. It begins with an orchestral exposition, which is followed by a solo exposition, a development section, a recapitulation, a cadenza and a coda. Within this conventional outline, Mozart engages in extensive structural innovation.

Exposition
The orchestral exposition, 99 measures long, presents two groups of thematic material, one primary and one secondary, both in the tonic of C minor. The orchestra opens the principal theme in unison, but not powerfully: the dynamic marking is piano. The theme is tonally ambiguous, not asserting the home key of C minor until its final cadence in the thirteenth measure. It is also highly chromatic: in its 13 measures, it utilises all 12 notes of the chromatic scale.

The solo exposition follows its orchestral counterpart, and it is here that convention is discarded from the outset: the piano does not enter with the principal theme. Instead, it has an 18-measure solo passage. It is only after this passage that the principal theme appears, carried by the orchestra. The piano then picks up the theme from its seventh measure. Another departure from convention is that the solo exposition does not re-state the secondary theme from the orchestral exposition. Instead, a succession of new secondary thematic material appears. Musicologist Donald Tovey considered this introduction of new material to be "utterly subversive of the doctrine that the function of the opening tutti [the orchestral exposition] was to predict what the solo had to say."

One hundred measures into the solo exposition, which is now in the relative major of E♭, the piano plays a cadential trill, leading the orchestra from the dominant seventh to the tonic. This suggests to the listener that the solo exposition has reached an end, but Mozart instead gives the woodwinds a new theme. The exposition continues for another 60 or so measures, before another cadential trill brings about the real conclusion, prompting a ritornello that connects the exposition with the development. The pianist and musicologist Charles Rosen argues that Mozart thus created a "double exposition". Rosen also suggests that this explains why Mozart made substantial elongations to the orchestral exposition during the composition process; he needed a longer orchestral exposition to balance its "double" solo counterpart.

Development
The development begins with the piano repeating its entry to the solo exposition, this time in the relative major of E♭. The Concerto No. 20 is the only other of Mozart's concertos in which the solo exposition and the development commence with the same material. In the Concerto No. 24, the material unfolds in the development in a manner different from the solo exposition: the opening solo motif, with its half cadence, is repeated four times, with one intervention from the woodwinds, as if asking question after question. The final question is asked in C minor and is answered by a descending scale from the piano that leads to an orchestral statement, in F minor, of the movement's principal theme.

The orchestral theme is then developed: the motif of the theme's fourth and fifth measures descends through the circle of fifths, accompanied by an elaborate piano figuration. After this, the development proceeds to a stormy exchange between the piano and the orchestra, which the twentieth-century Mozart scholar Cuthbert Girdlestone describes as "one of the few [occasions] in Mozart where passion seems really unchained", and which Tovey describes as a passage of "fine, severe massiveness". The exchange resolves to a passage in which the piano plays a treble line of sixteenth notes, over which the winds add echoes of the main theme. This transitional passage ultimately modulates to the home key of C minor, bringing about the start of the recapitulation with the conventional re-statement, by the orchestra, of the movement's principal theme.

Recapitulation, cadenza and coda
The wide range of thematic material presented in the orchestral and solo expositions poses a challenge for the recapitulation. Mozart manages to recapitulate all of the themes in the home key of C minor. The necessarily compressed themes are presented in a different order, and in their restated form contain few virtuosic moments for the soloist. The last theme to be recapitulated is the secondary theme of the orchestral exposition, which has not been heard for some 400 measures and is now adorned by a passage of triplets from the piano. The recapitulation concludes with the piano playing arpeggiated sixteenths before a cadential trill leads into a ritornello. The ritornello in turn leads into a fermata that prompts the soloist's cadenza.

Mozart did not write down a cadenza for the movement, or at least there is no evidence of him having done so. Many later composers and performers, including Johannes Brahms, Ferruccio Busoni, Alfred Schnittke and Gabriel Fauré, have composed their own. Uniquely among Mozart's concertos, the score does not direct the soloist to end the cadenza with a cadential trill. The omission of the customary trill is likely to have been deliberate, with Mozart choosing to have the cadenza connect directly to the coda without one.

The conventional Mozartian coda concludes with an orchestral tutti and no written-out part for the soloist. In this movement, Mozart breaks with convention: the soloist interrupts the tutti with a virtuosic passage of sixteenth notes and accompanies the orchestra through to the final pianissimo C-minor chords.

II. Larghetto
Alfred Einstein said of the concerto's second movement that it "moves in regions of the purest and most moving tranquility, and has a transcendent simplicity of expression". Marked Larghetto, the movement is in E♭ major and cut common time. The trumpets and timpani play no part; they return for the third movement.

The movement opens with the soloist playing the four-measure principal theme alone; it is then repeated by the orchestra.

This theme is, in the words of Michael Steinberg, one of "extreme simplicity". Donald Tovey refers to the fourth bar, extremely bare and lacking any ornamentation, as "naive", but considers that Mozart intended for it to be so. Mozart's first sketch of the movement was much more complex. He likely simplified the theme to provide a greater contrast with the dark intensity of the first movement. After the orchestra repeats the principal theme, there is a very simple bridge or transitional passage that Girdlestone calls "but a sketch" to be ornamented by the soloist, arguing that "to play it as printed is to betray the memory of Mozart".

Following the bridge passage, the soloist plays the initial four-measure theme for a second time, before the orchestra commences a new section of the movement, in C minor. A brief return of the principal theme, its rhythm altered, separates the C minor section from a section in A♭ major. After this new section, the principal theme returns to mark the end of the movement, its rhythm altered yet again. Now, the theme is played twice by the soloist, the two appearances being connected by the same simple bridge passage from the beginning of the movement. Girdlestone argues that here "the soloist will have to draw on his imagination to adorn [the simple bridge passage] a second time". The overall structure of the movement is thus ABACA, making the movement in rondo form.

In the middle statement of the principal theme (between the C minor and A♭ major sections), there is a notational error which, in a literal performance of the score, causes a harmonic clash between the piano and the winds. Mozart probably wrote the piano and wind parts at different times, resulting in an oversight by the composer. Alfred Brendel, who has recorded the concerto on multiple occasions, argues that performers should not follow the score literally but correct Mozart's error. Brendel further argues that the time signature for the whole movement is another notational error: played in cut common time, which calls for two beats per bar rather than four, the movement is, in his view, too fast.

The form of the movement is nearly identical to that of the second movement of Mozart's Piano Sonata in B♭ major, K. 570.

III. Allegretto
The third movement features a theme in C minor followed by eight variations upon it. Hutchings considered it "both Mozart's finest essay in variation form and also his best concerto finale."

The tempo marking for the movement is Allegretto. Rosen opines that this calls for a march-like speed and argues that the movement is "generally taken too fast under the delusion that a quick tempo will give it a power commensurate with that of the opening movement." Pianist Angela Hewitt sees in the movement not a march but a "sinister dance".

The movement opens with the first violins stating the theme over a string and wind accompaniment. This theme consists of two eight-measure phrases, each repeated: the first phrase modulates from C minor to the dominant, G minor; the second phrase modulates back to C minor. The soloist does not play any part in the statement of the theme, entering only in Variation I. Here, the piano ornaments the theme over an austere string accompaniment.

Variations II to VI are what Girdlestone and Hutchings independently describe as "double" variations. Within each variation, each of the eight-measure phrases from the theme is further varied upon its repeat (AXAYBXBY). Variations IV and VI are in major keys. Tovey refers to the former (in A♭) as "cheerful" and the latter (in C) as "graceful". Between the two major-key variations, Variation V returns to C minor; Girdlestone describes this variation as "one of the most moving". Variation VII is half the length of the preceding variations, as it omits the repeat of each eight-measure phrase. This variation concludes with an extra three-measure passage that culminates in a dominant chord, announcing the arrival of a cadenza.

After the cadenza, the soloist opens the eighth and final variation alone, with the orchestra joining after 19 measures. The arrival of the final variation also brings a change in metre: from cut common time to compound duple time. Both the final variation and the coda which follows contain numerous neapolitan-sixth chords. Girdlestone referred to the "haunting" effect of these chords and stated that the coda ultimately "proclaims with desperation the triumph of the minor mode".

Critical reception
Ludwig van Beethoven admired the concerto and it may have influenced his Piano Concerto No. 3, also in C minor. After hearing the work in a rehearsal, Beethoven reportedly remarked to a colleague that "[w]e shall never be able to do anything like that." Johannes Brahms also admired the concerto, encouraging Clara Schumann to play it, and wrote his own cadenza for the first movement. Brahms referred to the work as a "masterpiece of art and full of inspired ideas."

Among modern and twentieth-century scholars, Cuthbert Girdlestone states that the concerto "is in all respects one of [Mozart's] greatest; we would fain say: the greatest, were it not impossible to choose between four or five of them." Referring to the "dark, tragic and passionate" nature of the concerto, Alfred Einstein states that "it is hard to imagine the expression on the faces of the Viennese public" when Mozart premiered the work. The musicologist Simon P. Keefe, in an exegesis of all of Mozart's piano concertos, writes that the No. 24 is "a climactic and culminating work in Mozart's piano concerto oeuvre, firmly linked to its predecessors, yet decisively transcending them at the same time." The verdict of the Mozart scholar Alexander Hyatt King is that the concerto is "not only the most sublime of the whole series but also one of the greatest pianoforte concertos ever composed". Arthur Hutchings's view is that "whatever value we put upon any single movement from the Mozart concertos, we shall find no work greater as a concerto than this K. 491, for Mozart never wrote a work whose parts were so surely those of 'one stupendous whole'."