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V<\/span><\/strong>ariations on a theme: it\u2019s a phenomenon that accounts for the connectedness yet diversity of life-forms from plankton to pachyderms, each member of a species a unique variation on its thematic genetic sequence.<\/strong> <\/span><\/p>\n In music, writing variations<\/a><\/strong> upon themes and ideas has been a constant in the range of techniques that composers, improvisers and performers have called upon for centuries.<\/span><\/p>\n <\/p><\/div> <\/section> The variation principle itself has been interpreted in fantastically various ways. <\/span>There are the bass lines of the tune La Folia<\/i>, a musical idea that has run like a beautiful infection through centuries of music history, with variations upon its maddeningly irresistible harmonic progression by composers from Corelli to Max Richter, Salieri<\/a><\/strong> to Rachmaninov<\/a><\/strong>. <\/span><\/p>\n There are the countless ways that a single composer like JS Bach<\/a><\/strong> used the variation principle in his life, from the 64 variations that make up the Chaconne from his D\u00a0minor Solo Violin <\/span>Partita to the bass line that runs through <\/span>the 32 Goldberg Variations<\/i><\/a><\/strong>, musical fuel for that piece\u2019s dazzling diversity of expression, character and counterpoint.<\/span><\/p>\n Sets of variations are compositional paradoxes of difference and connection. They may have elegant transitions from one variation to the next, or composers may revel in the chains of distinctive musical pearls they make resound next to one another. Yet each set of variations has a connection underneath their vertiginous diversity, thanks to their shared transformation of a single idea. <\/span><\/p>\n That\u2019s especially obvious from the late 18th century onwards, when variations on themes began to proliferate. From Mozar<\/a><\/strong>t\u2019s on \u2018Ah! vous dirai-je, maman\u2019 \u2013 or \u2018Twinkle, twinkle little star\u2019 \u2013 to Rzewski\u2019s on \u2018The People United Will <\/span>Never Be Defeated!\u2019, composers play with <\/span>their tunes, stretching a rubber band of recognition for all of us listening, and showing off their seemingly boundless compositional creativity.<\/span><\/p>\n So how, and why, does a set of variations end? Like the apparently limitless iterations of the human genome, composers could keep varying the same tune into a temporal infinity. Sorabji comes the closest of any composer yet, in his Sequentia Cyclica<\/i>, variations on the Dies irae<\/i> plainchant, recorded by pianist Jonathan Powell in an eight-hour tour de force<\/i>. <\/span><\/p>\n Even on a smaller scale, sets of variations can both contain multitudes and suggest infinities: at the end of Beethoven<\/a><\/strong>\u2019s Diabelli Variations<\/i> for piano, 33 transformations of a unprepossessing waltz in which Beethoven traverses everything from operatic parody to cosmic fugue, and in which he even makes silence a subject for variation as well as the notes of his theme, the very final transformation of the tune is a menuet that dances at the edge of a universe of possibility. <\/span><\/p>\n Sets of variations might end, but their generating principle \u2013 for music, and for life \u2013 goes ceaselessly on.<\/span><\/p>\n