Mathematical Music Theory and the Musical Math Game—Two Creative Ontological Switches

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

Abstract

Mathematical Music Theory (MaMuTh) can be understood as a creative support of the musical ontology, a toolset for composition, or a model for theoretical approaches. Several MaMuTh scholars who are also musicians have asked about the opposed possibility, a Musical Math Game (MuMaGm), namely the creative musical support of the mathematical ontology, setting up conjectures, mathematical theories and eventually helping solve mathematical problems. We discuss this idea and our related proposal of music and mathematics being adjoint functors between (the categories of) formulas and gestures. We illustrate this bidirectional ontological shift of creativity between music and mathematics through the history of counterpoint.

Original languageEnglish (US)
Title of host publicationMathematics and Computation in Music - 6th International Conference, MCM 2017, Proceedings
PublisherSpringer- Verlag
Pages201-212
Number of pages12
ISBN (Print)9783319718262
DOIs
StatePublished - Jan 1 2017
Event6th International Conference on Mathematics and Computation in Music, MCM 2017 - Mexico City, Mexico
Duration: Jun 26 2017Jun 29 2017

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10527 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other6th International Conference on Mathematics and Computation in Music, MCM 2017
CountryMexico
CityMexico City
Period6/26/176/29/17

Keywords

  • Counterpoint
  • Creativity
  • Mathematical Music Theory
  • Musical mathematics game
  • Ontology

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