Taking music seriously: on the dynamics of `mathemusical' research with a focus on hexachordal theorems

arXiv2402.00507MaRDI QIDQ6151681

Corentin Guichaoua, Moreno Andreatta, Nicolas Juillet

Publication date: 12 February 2024

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2402.00507

zbMATH Keywords

scalar curvaturemetric measure spaceshomometric setsball volumePatterson functiondistance-setsmathemusical research

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Length, area, volume, other geometric measure theory (28A75) Distance in graphs (05C12) Mathematics and music (00A65)

Cites Work

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• The Structure of Homometric Sets
• Computational Music Analysis
• Tiling Canons as a Key to Approaching Open Mathematical Conjectures?
• The Structure of Z-Related Sets

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