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Mathematical Modeling in Music Composition: Strategies, Insights Perspectives
Zbornik radova, Tome 21 (2024) no. 29, p. 91

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DOI

Mathematical modeling in music composition is a powerful tool for mathematical reflection as well as for enriching artistic inspiration for composers. In this paper, we analyze the concept of a structural space for music composition, transformed to a multi-dimensional space of musical parameters. This approach facilitates the construction of appropriate mappings (mainly homeomorphic) from numerical sets or topological spaces into spaces of musical parameters, which may serve as processes of elaborating musical material and texture. Four case studies of music compositions are featured, in order to shed some light into the practicalities of this approach.
DOI : 10.18485/mi_sanu_zr.2024.29.21.ch6
Classification : 00A65
Keywords: mathematical modeling, music composition, musical form, structural space of music composition, musical parameters, algorithmic processes 
Fani Kosona. Mathematical Modeling in Music Composition: Strategies, Insights & Perspectives. Zbornik radova, Tome 21 (2024) no. 29, p. 91 . doi: 10.18485/mi_sanu_zr.2024.29.21.ch6
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     title = {Mathematical {Modeling} in {Music} {Composition:} {Strategies,} {Insights} & {Perspectives}},
     journal = {Zbornik radova},
     pages = {91 },
     year = {2024},
     volume = {21},
     number = {29},
     doi = {10.18485/mi_sanu_zr.2024.29.21.ch6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.18485/mi_sanu_zr.2024.29.21.ch6/}
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