A New Geometry of Musical Chords in Interval Representation: - download pdf or read online

By Miguel Gutierrez

"This monograph covers a clean and unique examine musical chords. the assumption emanates from the truth that an intervallic illustration of the chord leads clearly to a discrete barycentric . This situation itself ends up in a handy geometric illustration of the chordal area as a simplicial grid.
Chords seem as issues during this grid and musical inversions of the chord may generate attractive polyhedra inscribed in concentric spheres based on the barycenter. The radii of those spheres could successfully quantify the evenness and therefore the consonance of the chord.

Internal symmetries might cave in those chordal constructions into polar or equatorial monitors, making a platform for an intensive degeneracy research. Appropiate morphisms might let us navigate via diversified chordal cardinalities and finally to characterise complementary chords."

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


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