TY - GEN

T1 - Mathematical Music Theory and the Musical Math Game—Two Creative Ontological Switches

AU - Mazzola, Guerino

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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.

AB - 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.

KW - Counterpoint

KW - Creativity

KW - Mathematical Music Theory

KW - Musical mathematics game

KW - Ontology

UR - http://www.scopus.com/inward/record.url?scp=85035100663&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85035100663&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-71827-9_15

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

M3 - Conference contribution

AN - SCOPUS:85035100663

SN - 9783319718262

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 201

EP - 212

BT - Mathematics and Computation in Music - 6th International Conference, MCM 2017, Proceedings

PB - Springer- Verlag

T2 - 6th International Conference on Mathematics and Computation in Music, MCM 2017

Y2 - 26 June 2017 through 29 June 2017

ER -