Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
A New Geometry of Musical Chords in Interval Representation: Dissonance, Enrichment, Degeneracy and Complementation

A New Geometry of Musical Chords in Interval Representation: Dissonance, Enrichment, Degeneracy and Complementation

Taniguchi, Makoto
Gutierrez, Miguel

Paperback

General Mathematics

Publisher Price: $19.95

ISBN10: 145022797X
ISBN13: 9781450227971
Publisher: Authorhouse
Published: Jul 1 2010
Pages: 124
Weight: 0.65
Height: 0.26 Width: 8.25 Depth: 11.00
Language: English
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 spheres centered at the barycenter. The radii of these spheres would effectively quantify the evenness and thus the consonance of the chord.

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