Algebraic Structures in Microtonal Music
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908416026345472 |
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| author | Flynn, Veronica Rovi, Carmen |
| author_facet | Flynn, Veronica Rovi, Carmen |
| contents | We will discuss how certain group theory structures are found in music theory. Western music splits the octave into 12 equal tones called half-steps. We can take this division further and split the octave into 24 equal tones by splitting each half-step in two, called a quarter-step. By assigning each of these 24 notes a number, we can discuss musical actions mathematically. In this paper, we analyze 24-tone microtonal music and explore how musical and harmonic structures in this system can be interpreted in terms of group-theoretic structures. This work extends the study by Crans, Fiore, and Satyendra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_17778 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Algebraic Structures in Microtonal Music Flynn, Veronica Rovi, Carmen Sound Audio and Speech Processing History and Overview 20-01 (Primary), 00A08 (secondary) We will discuss how certain group theory structures are found in music theory. Western music splits the octave into 12 equal tones called half-steps. We can take this division further and split the octave into 24 equal tones by splitting each half-step in two, called a quarter-step. By assigning each of these 24 notes a number, we can discuss musical actions mathematically. In this paper, we analyze 24-tone microtonal music and explore how musical and harmonic structures in this system can be interpreted in terms of group-theoretic structures. This work extends the study by Crans, Fiore, and Satyendra. |
| title | Algebraic Structures in Microtonal Music |
| topic | Sound Audio and Speech Processing History and Overview 20-01 (Primary), 00A08 (secondary) |
| url | https://arxiv.org/abs/2506.17778 |