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January 18, 2009

Canon 1 a 2

Posted in: Gallery

In the enigmatic Canon 1 a 2 from J. S. Bach’s “Musical Offering” (1747) (also known as “crab canon” or “canon cancrizans”), the manuscript shows a single score, whose beginning joins with the end. This space is topologically equivalent to a bundle of the line segment over the circle, known as a Möbius strip. The simultaneous performance of the deeply related forward and backward paths gives appearance to two voices, whose symmetry determines a reversible evolution. A musical universe is built and then is “unplayed” back into silence.1

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  1. Animation created in POV-Ray by Jos Leys. Music performed by xantox with Post Flemish Harpsichord, upper manual. []

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