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 language | English (US) |
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Title of host publication | Mathematics and Computation in Music - 6th International Conference, MCM 2017, Proceedings |
Editors | Octavio A. Agustin-Aquino, Emilio Lluis-Puebla, Mariana Montiel |
Publisher | Springer Verlag |
Pages | 201-212 |
Number of pages | 12 |
ISBN (Print) | 9783319718262 |
DOIs | |
State | Published - 2017 |
Event | 6th International Conference on Mathematics and Computation in Music, MCM 2017 - Mexico City, Mexico Duration: Jun 26 2017 → Jun 29 2017 |
Publication series
Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 10527 LNAI |
ISSN (Print) | 0302-9743 |
ISSN (Electronic) | 1611-3349 |
Other
Other | 6th International Conference on Mathematics and Computation in Music, MCM 2017 |
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Country/Territory | Mexico |
City | Mexico City |
Period | 6/26/17 → 6/29/17 |
Bibliographical note
Publisher Copyright:© 2017, Springer International Publishing AG.
Keywords
- Counterpoint
- Creativity
- Mathematical Music Theory
- Musical mathematics game
- Ontology