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A New Geometry of Musical Chords in Interval Representation

Gutierrez, Miguel / Taniguchi, Makoto
A New Geometry of Musical Chords in Interval Representation
This monograph covers a fresh and original look at musical chords. The idea emanates from the fact that an intervallic representation of the chord leads naturally to a discrete barycentric condition. This condition itself leads to a convenient geometric representation of the chordal space as a simplicial grid.Chords appear as points in this grid and musical inversions of the chord would generate beautiful polyhedra inscribed in concentric sphe...

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