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The Geometry of Consonance: Music and Mathematics

Dmitri Tymoczko August 27, 2009 Elementary concepts of music theory can be translated into the language of contemporary geometry. Musical chords live in interesting geometrical spaces called "orbifolds" spaces that contain unusual twists and strange "singularities" analogous to the black holes of General Relativity. Tymoczko provides an accessible, multimedia introduction to this new way of thinking about music, in which the audience can both listen to and watch pieces of music as they move along cones, Mobius strips, and other geometric objects. He will conclude by explaining how Chopin's famously mysterious E minor prelude traces an intriguing path along a necklace of four-dimensional cubes.