Harmonic distance in intervals and chords

The harmonic distance between two pure tones, in the sense used by Tenney, is generalised to chords whose pitches are harmonic fractions. In the tonal graph generated by the harmonics involved in a chord, which for n-TET systems has its equivalent in the Tonnetz, the melodic distance between the low...

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Bibliographic Details
Published in:	Journal of mathematics and music (Society for Mathematics and Computation in Music) Vol. 13; no. 1; pp. 85 - 106
Main Author:	Cubarsi, Rafael
Format:	Journal Article Publication
Language:	English
Published:	Baton Rouge Taylor & Francis 02.01.2019 Taylor & Francis Ltd
Subjects:	05 Combinatorics 05C Graph theory 11 Number theory 11A Elementary number theory 54 General topology 54E Spaces with richer structures Anàlisi matemàtica chords Chords (geometry) Classificació AMS consonance dissonance Espais topològics Geometria Grafs, Teoria de Graph theory Harmonic analysis harmonic distance Instrument tuning Matemàtica discreta Matemàtiques i estadística melodic distance Nombres, Teoria dels Number theory Sensory perception Teoria de grafs Tonnetz Topological spaces Tuning tuning systems Àrees temàtiques de la UPC
ISSN:	1745-9737, 1745-9745, 1745-9745
Online Access:	Get full text
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