Fourier Phase and Pitch-Class Sum

Dmitri Tymoczko, Jason Yust

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Scopus citations

Abstract

Music theorists have proposed two very different geometric models of musical objects, one based on voice leading and the other based on the Fourier transform. On the surface these models are completely different, but they converge in special cases, including many geometries that are of particular analytical interest.

Original languageEnglish (US)
Title of host publicationMathematics and Computation in Music - 7th International Conference, MCM 2019, Proceedings
EditorsMariana Montiel, Francisco Gomez-Martin, Octavio A. Agustín-Aquino
PublisherSpringer Verlag
Pages46-58
Number of pages13
ISBN (Print)9783030213916
DOIs
StatePublished - 2019
Event7th International Conference on Mathematics and Computation in Music, MCM 2019 - Madrid, Spain
Duration: Jun 18 2019Jun 21 2019

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11502 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference7th International Conference on Mathematics and Computation in Music, MCM 2019
Country/TerritorySpain
CityMadrid
Period6/18/196/21/19

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • General Computer Science

Keywords

  • Chord geometry
  • Fourier transform
  • Musical scales
  • Tonal harmony
  • Voice leading

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