Taking music seriously: on the dynamics of 'mathemusical' research with a focus on Hexachordal Theorems
Fiche du document
25 janvier 2024
- ISIDORE Id: 10670/1.e55469...
- hal: hal-04306896
- doi: 10.3842/SIGMA.2024.009
Ce document est lié à :
info:eu-repo/semantics/altIdentifier/doi/10.3842/SIGMA.2024.009
info:eu-repo/semantics/OpenAccess
Mots-clés
Mathemusical research Homometric sets Distance-sets Metric measure spaces Ball volume Scalar curvature Patterson function 00A65; 28A75; 05C12;60DxxSujets proches
Scientific research Science research Science--Research Kinetics Dynamical systems Composing (Music) Musical composition Music composing Music--Composition Music compositionCiter ce document
Moreno Andreatta et al., « Taking music seriously: on the dynamics of 'mathemusical' research with a focus on Hexachordal Theorems », HAL SHS (Sciences de l’Homme et de la Société), ID : 10.3842/SIGMA.2024.009
Métriques
Partage / Export
Résumé
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 we recently introduced in a paper entitled "New hexachordal theorems in metric spaces with probability measure" (published in the Rendiconti del Seminario Matematico della Università di Padova) and illustrate the new approach with original constructions and exemples.
