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Ring Theory Application to Musical Tones Compositions

This paper critically analyzed the idea of using musical tones and mathematical techniques to composed a beautiful, listenable musical sound. observed the tone behavior and connection between mathematical concepts (such as rings) and musical notes. The twelve, (12), musical notes were used for the composition, which formed a ring with addition, +, and multiplication, *, operations, such that additive semigroup and multiplicative group forms a commutative group and semigroup respectively. This was done as a specific technique for the composition of music in which, with the aid of mathematical matrix developed, an equal importance is given to all twelve musical tones in the chromatic scale. The ring theorem is a branch of mathematics that is applicable to music composition, contrary to what people might think, as shown by a practical demonstration of mathematical techniques applied to the twelve musical tones that produced a good sound when played on the keyboard, one of the fundamental musical instruments used for translation of keys to sound. There were some claims that had supporting evidence as a prove that, mathematics is one of the tools for music composition. The research is a prove that, ring theory which is an aspect of mathematics that can be used to formulate music using the twelve musical notes, the behaviors and sound produced attested to the fact that mathematics is musical friendly.

Abstract Algebra, Ring Theory, Music, Musical Notes, Mathematics, Musical Notes Composition, Group Theory

APA Style

Temitayo Emmanuel Olaosebikan, Adesoji Adewumi Obayomi, Friday Ogoigbe Egbon. (2023). Ring Theory Application to Musical Tones Compositions. International Journal of Theoretical and Applied Mathematics, 9(1), 6-9. https://doi.org/10.11648/j.ijtam.20230901.12

ACS Style

Temitayo Emmanuel Olaosebikan; Adesoji Adewumi Obayomi; Friday Ogoigbe Egbon. Ring Theory Application to Musical Tones Compositions. Int. J. Theor. Appl. Math. 2023, 9(1), 6-9. doi: 10.11648/j.ijtam.20230901.12

AMA Style

Temitayo Emmanuel Olaosebikan, Adesoji Adewumi Obayomi, Friday Ogoigbe Egbon. Ring Theory Application to Musical Tones Compositions. Int J Theor Appl Math. 2023;9(1):6-9. doi: 10.11648/j.ijtam.20230901.12

Copyright © 2023 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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