After Ludwig van Beethoven (1770-1827), variations was built on motives derived from some part of the theme but altered in rhythm, tempo, dynamics, or context so as to produce a new design. And many nineteenth-century composers worked in this genre. For example, Franz Liszt (1811-1886) came under the spell of the great Italian violinist Niccolo Paganini (1782-1840), one of the most hypnotic artists of the nineteenth century. He directly imitated the master in his six Etudes d'execution transcendante d'apres Paganini (Transcendental Technical Studies Based on Paganini, 1851), transcribing four of Paganini's solo violin Caprices, Op.1 and his La Campanella (The Bell) from the Violin Concerto No.2 in B Minor.
After Liszt, influence of the Paganini's Variations lasted. Johannes Brahms (1833-1897) also wrote virtuoso music and focused on variation form. His Variations on Theme of Paganini, Op.35 (1863) is sets of variations. The piece Op.35 is called as one of the most difficult and etude-like pieces.
Until now, composers are loving to write variation form and many of the contemporary composers also used the Paganini's theme for their variation forms.
References
Gordon, S. (1996) A History of Keyboard Literature, Schirmer Books
Hanning, B. R. (1998) Concise History of Western Music, Norton
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