Technical Comments

Comment on “The Geometry of Musical Chords”

Science  19 Jan 2007:
Vol. 315, Issue 5810, pp. 330b
DOI: 10.1126/science.1134013

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Abstract

Tymoczko (Reports, 7 July 2006, p. 72) proposed that the familiar sonorities of Western tonal music cluster around the center of a multidimensional orbifold. However, this is not true for all tonal progressions. When prototypical three-voice cadential progressions by Bach converge on the tonic, the chords migrate from the center to the edge of the orbifold.

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