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
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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 -