Z-relation and homometry in musical distributions

DOI10.1080/17459737.2011.608819zbMath1226.00020OpenAlexW2108274144MaRDI QIDQ3102862

Emmanuel Amiot, John Mandereau, Daniele Ghisi, Carlos Agón, Moreno Andreatta

Publication date: 25 November 2011

Published in: Journal of Mathematics and Music (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17459737.2011.608819

zbMATH Keywords

interval vectorhomometryPatterson function\(Z\)-relationGIS (generalized interval systems)hexachord theorem

Mathematics Subject Classification ID

Related Items (5)

All-Interval Structures ⋮ Taking music seriously: on the dynamics of `mathemusical' research with a focus on hexachordal theorems ⋮ An algebra for periodic rhythms and scales ⋮ Discrete phase retrieval in musical structures ⋮ Entropy of Fourier coefficients of periodic musical objects

Uses Software

• Planet-4D

Cites Work

• Phase retrieval
• The Continuous Hexachordal Theorem
• The Planet-4D Model: An Original Hypersymmetric Music Space Based on Graph Theory
• Discrete phase retrieval in musical structures
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