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...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2024 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2024
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212114 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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 |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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.
|
|---|---|
| ISSN: | 1815-0659 |