Comment on "The geometry of musical chords".
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.
Headlam
Dave
D
Eastman School of Music, University of Rochester, 26 Gibbs Street, Rochester, NY 14604, USA. dheadlam@esm.rochester.edu
Brown
Matthew
M
D006801:Humans; D008433:Mathematics; D009146:Music