Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Juan Sebastián Arias-Valero"'
Publikováno v:
Journal of Mathematics and Music. 17:213-243
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5785fb186815a9d8665f69a172b4878f
https://doi.org/10.1080/17459737.2022.2111612
https://doi.org/10.1080/17459737.2022.2111612
We re-create the essential results of a 1989 unpublished article by Mazzola and Muzzulini that contains musicological aspects of a first-species counterpoint model. We include a summary of the mathematical counterpoint theory and several variations o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::91b1024f833416b4af61d1780a341393
Publikováno v:
MusMat|: Brazilian Journal of Music and Mathematics. 5:103-120
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c9fb4126dceaf9bca02cca11e5896142
https://doi.org/10.46926/musmat.2021v5n2.103-120
https://doi.org/10.46926/musmat.2021v5n2.103-120
Publikováno v:
MusMat: Brazilian Journal of Music and Mathematics. :89-115
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::109e3793916b6fa721e2af0645dbe3a5
https://doi.org/10.46926/musmat.2021v5n1.89-115
https://doi.org/10.46926/musmat.2021v5n1.89-115
Publikováno v:
Mathematics and Computation in Music ISBN: 9783031070143
In physics, timbre is a complex phenomenon, like color. Musical timbres are given by the superposition of sinusoidal signals, corresponding to longitudinal acoustic waves. Colors are produced by the superposition of transverse electromagnetic waves i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::91815c6a61eef83a4940c300508ee99d
https://doi.org/10.1007/978-3-031-07015-0_11
https://doi.org/10.1007/978-3-031-07015-0_11
We generalize first-species counterpoint theory to arbitrary rings and obtain some new counting and maximization results that enrich the theory of admitted successors, pointing to a structural approach, beyond computations. The generalization encompa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0864a79036eda3ccde9b2ff189bfac14
http://arxiv.org/abs/2004.07983
http://arxiv.org/abs/2004.07983
Classical homology of a topological space provides invariants of the space by means of triangulation or squaring made up from singular simplices (simplicial homology) or singular cubes (cubical homology) in the space. In much the same way, Mazzola's
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::04c713a77dc4f2a1129d0ce1a52aad29