Groups Theory and Music: Connections
DOI:
https://doi.org/10.22481/intermaths.v2i1.8762Keywords:
Musical Note, Group, IsomorphismAbstract
In this work, we show a simple but illustrative connection between basic concepts of Music Theory and a little bit of Group Theory, specifically the isomorphisms, of order to establish a correspondence (isomorphic) between the set of notes musicals and the group Z_12. For this purpose, we make a brief introduction about some musical knowledge as well as concepts basic group theory.
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Pereira, A. e Madruga, Z., “Música e Modelagem Matemática: Representação de uma escala musical por meio de modelo matemático”, Ensino da Matemática em Debate, 7(1), 1-33, 2020. https://doi.org/10.23925/2358-4122.2020v7i1p1-25
A. Papadopoulos, “Mathematics and Group Theory in Music”, Handbook of Group Actions, vol. 2, Lizhen Ji et al. (eds.), Somerville: International Press and Higher Education Press, 2015, 525 - 572.
J. Elliot, “Group actions, power mean orbit size, and musical scales”, Journal of Mathematics and Music, 1-24, 2021. https://doi.org/10.1080/17459737.2020.1836686
J. B. Fraleigh, “A First Course In Abstract Algebra”, Addison Wesley, Seventh Edition, 2003.
D. F. de P. S. Martins, “Escalas, Inversas e Tríades: AMatemática aplicada à Música”, Dissertação de Mestrado, UENF, 2015.
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