Rhapsody on a Theme of Paganini

The Rhapsody on a Theme of Paganini, Op. 43, (, "Rapsodiya na temu Paganini") is a concertante work written by Sergei Rachmaninoff for piano and orchestra, closely resembling a piano concerto, all in a single movement. Rachmaninoff wrote the work at his summer home, the Villa Senar in Switzerland, according to the score, from 3 July to 18 August 1934. Rachmaninoff himself, a noted interpreter of his own works, played the piano part at the piece's premiere on 7 November 1934, at the Lyric Opera House in Baltimore, Maryland, with the Philadelphia Orchestra conducted by Leopold Stokowski. Rachmaninoff, Stokowski, and the Philadelphia Orchestra made the first recording, on 24 December 1934, at RCA Victor's Trinity Church Studio in Camden, New Jersey. The English premiere on 7 March 1935 at Manchester Free Trade Hall also featured Rachmaninoff with The Hallé under Nikolai Malko.
Instrumentation.
The piece is scored for piano and orchestra: piccolo, 2 flutes, 2 oboes, English horn, 2 clarinets in B, 2 bassoons, 4 horns in F, 2 trumpets in C, 3 trombones, tuba, timpani, triangle, snare drum, cymbals, bass drum, glockenspiel, harp and strings.
Structure.
The piece is a set of 24 variations on the twenty-fourth and last of Niccolò Paganini's Caprices for solo violin, which has inspired works by several composers. The whole composition takes about 22–24 minutes to perform. All variations are in A minor except where noted. 
Although Rachmaninoff's work is performed in one stretch without breaks, it can be divided into three sections, as shown above. These correspond to the three movements of a concerto: up to variation 10 corresponds to the first movement, variations 11 to 18 are the equivalent of a slow movement, and the remaining variations make a finale.
Analysis.
After a brief introduction, the first variation is played "before" the theme. Paganini's theme is stated on strings with the piano picking out salient notes, "after" the first variation. Rachmaninoff likely got the idea of having a variation before the theme from the finale of Beethoven's "Eroica" symphony. Variations II to VI recombine elements of the theme. The pauses and rhetorical flourishes for the piano in variation VI herald a change of tempo and tone. The piano next gravely intones the "Dies Irae", the "day of wrath" plainchant from the medieval Mass of the Dead, while the orchestra accompanies with a slower version of the opening motif of the Paganini theme. The piece is one of several by Rachmaninoff to quote the "Dies Irae" plainchant melody.
The slow 18th variation is by far the best known, and it is often included on classical music compilations without the rest of the work. It is based on an inversion of the melody of Paganini's theme. In other words, the A minor Paganini theme is literally played "upside down" in D major, with a few other changes. Rachmaninoff himself recognized the appeal of this variation, saying "This one is for my agent."
The 24th variation is more playful in tone than most of the other variations, ending with a glissando sweep of the keyboard, before quoting the original theme in the last bar. Due to the speed and the large leaps on the piano, the 24th and last variation of the rhapsody presents considerable technical difficulty for the pianist. Shortly before the world première performance, Rachmaninoff – a sufferer of performance anxiety – confessed trepidation over his ability to play it. Upon the suggestion of his friend Benno Moiseiwitsch, Rachmaninoff broke his usual rule against drinking alcohol and had a glass of crème de menthe to steady his nerves, which he reputedly kept beneath the piano. His performance was a spectacular success, and prior to every subsequent performance of the Rhapsody, he drank crème de menthe. This led to Rachmaninoff nicknaming the twenty-fourth the "Crème de Menthe Variation".
Balletic interpretations.
In 1939, Michel Fokine wrote to Rachmaninoff from Auckland, New Zealand, where he was touring, seeking the composer's approval to use "Rhapsody on a Theme of Paganini" for his ballet "Paganini", which he had almost finished choreographing. Fokine wanted to make a minor change to the score, involving the reuse of 12 earlier measures as a more theatrically effective introduction to the 18th Variation, which he wanted to play in the key of A major, rather than D major. Rachmaninoff agreed to the extra measures, although he said A major would not work and asked that the 18th Variation be played in D major, to provide greater tension. He also wondered why Niccolò Paganini had been turned into a guitar player in Fokine's scenario, but did not object. "Paganini" was premiered in 1939 by The Royal Ballet at the Royal Opera House in Covent Garden, London. The ballet was a success, which pleased Rachmaninoff, and he wrote his "Symphonic Dances" in 1940 with Fokine in mind. He played the piano version for Fokine, but both died before the idea got any further.
The Rhapsody has also been used for ballets by Lavrovsky (Bolshoi Ballet, Moscow, 1960), Frederick Ashton (Royal Ballet, London, 1980), and Ivo van Zwieten.
Popular culture.
The 18th variation, by far the most popular, has been used in various movie and TV show soundtracks to different degrees. This includes:
The pop song "If I Had You" by The Korgis uses the melody fragment from the 18th variation.
The video game "Gran Turismo 6" uses it as the intro theme.