Taking Music Seriously: on the Dynamics of 'Mathemusical' Research with a Focus on Hexachordal Theorem
After presenting the general framework of `mathemusical' dynamics, we focus on one music-theoretical problem concerning a special case of homometry theory applied to music composition, namely Milton Babbitt's hexachordal theorem. We briefly discuss some historical aspects of homometric str...
Збережено в:
| Опубліковано в: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2024 |
| ISSN: | 1815-0659 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2024
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/212114 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Taking Music Seriously: on the Dynamics of 'Mathemusical' Research with a Focus on Hexachordal Theorem. Moreno Andreatta, Corentin Guichaoua and Nicolas Juillet. SIGMA 20 (2024), 009, 19 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | After presenting the general framework of `mathemusical' dynamics, we focus on one music-theoretical problem concerning a special case of homometry theory applied to music composition, namely Milton Babbitt's hexachordal theorem. We briefly discuss some historical aspects of homometric structures and their ramifications in crystallography, spectral analysis, and music composition via the construction of rhythmic canons tiling the integer line. We then present the probabilistic generalization of Babbitt's result, which we recently introduced in a paper entitled ''New hexachordal theorems in metric spaces with probability measure'' and illustrate the new approach with original constructions and examples.
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| ISSN: | 1815-0659 |