Math in Music

Geometrical Music Theory

Geometrical music shapes
clipped from www.princeton.edu
Princeton University

Researchers map the math in music

More than 2000 years ago Pythagoras reportedly discovered that pleasing musical intervals could be described using simple ratios.

And the so-called musica universalis or "music of the spheres" emerged in the Middle Ages as the philosophical idea that the proportions in the movements of the celestial bodies -- the sun, moon and planets -- could be viewed as a form of music, inaudible but perfectly harmonious.

Now, three music professors – Clifton Callender at Florida State University, Ian Quinn at Yale University and Dmitri Tymoczko at Princeton University -- have devised a new way of analyzing and categorizing music that takes advantage of the deep, complex mathematics they see enmeshed in its very fabric.
Four-chord types

The broad effort follows upon earlier work by Tymoczko in which he developed geometric models for selected musical objects.

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Via: Al Fin: Brain-Building Through Early Childhood Music
brooklynvegan: Geometrical Music Theory
Princeton University - Researchers map the math in music
Dmitri Tymoczko, Composer and Music Theorist
The new shape of music
The Hindu News Update Service
Cogito - Researchers Map the Math in Music
Music and mathematics - Wikipedia, the free encyclopedia