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

Guerino Mazzola

doi:10.1007/978-3-319-71827-9_15

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

Guerino Mazzola

Music (Twin Cities)

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	Mathematics and Computation in Music - 6th International Conference, MCM 2017, Proceedings
Publisher	Springer- Verlag
Pages	201-212
Number of pages	12
ISBN (Print)	9783319718262
DOIs	https://doi.org/10.1007/978-3-319-71827-9_15
State	Published - Jan 1 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)
Volume	10527 LNAI
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	6th International Conference on Mathematics and Computation in Music, MCM 2017
Country	Mexico
City	Mexico City
Period	6/26/17 → 6/29/17

Keywords

Counterpoint
Creativity
Mathematical Music Theory
Musical mathematics game
Ontology

Access

10.1007/978-3-319-71827-9_15

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Cite this

Mazzola, G. (2017). Mathematical Music Theory and the Musical Math Game—Two Creative Ontological Switches. In Mathematics and Computation in Music - 6th International Conference, MCM 2017, Proceedings (pp. 201-212). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10527 LNAI). Springer- Verlag. https://doi.org/10.1007/978-3-319-71827-9_15

Mathematical Music Theory and the Musical Math Game—Two Creative Ontological Switches. / Mazzola, Guerino.

Mathematics and Computation in Music - 6th International Conference, MCM 2017, Proceedings. Springer- Verlag, 2017. p. 201-212 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10527 LNAI).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Mazzola, G 2017, Mathematical Music Theory and the Musical Math Game—Two Creative Ontological Switches. in Mathematics and Computation in Music - 6th International Conference, MCM 2017, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 10527 LNAI, Springer- Verlag, pp. 201-212, 6th International Conference on Mathematics and Computation in Music, MCM 2017, Mexico City, Mexico, 6/26/17. https://doi.org/10.1007/978-3-319-71827-9_15

Mazzola G. Mathematical Music Theory and the Musical Math Game—Two Creative Ontological Switches. In Mathematics and Computation in Music - 6th International Conference, MCM 2017, Proceedings. Springer- Verlag. 2017. p. 201-212. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-319-71827-9_15

Mazzola, Guerino. / Mathematical Music Theory and the Musical Math Game—Two Creative Ontological Switches. Mathematics and Computation in Music - 6th International Conference, MCM 2017, Proceedings. Springer- Verlag, 2017. pp. 201-212 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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