GeneralizedTonnetze

DOI10.1080/17459737.2011.614448zbMath1226.00017arXiv1612.03519OpenAlexW3037792520MaRDI QIDQ3102864

Michael J. Catanzaro

Publication date: 25 November 2011

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

Full work available at URL: https://arxiv.org/abs/1612.03519

zbMATH Keywords

torusTonnetz\(N\)-tone equal temperamentgeneralized scalesgeometry of chordssimpicial complexspace of triads

Mathematics Subject Classification ID

Mathematics and music (00A65)

Related Items (10)

ATonnetzmodel for pentachords ⋮ Chordal and timbral morphologies using Hamiltonian cycles ⋮ Topology of musical data ⋮ Voicing Transformations of Triads ⋮ Euler's ``Tentamen: historical and mathematical aspects on the consonance theory ⋮ Introduction ⋮ Generalized Tonnetz and discrete Abel-Jacobi map ⋮ Filtration of Pitch-Class Sets Complexes ⋮ GeneralizedTonnetzeandZeitnetze, and the topology of music concepts ⋮ Lattice-based and topological representations of binary relations with an application to music

Cites Work

• The Geometry of Musical Chords
• Musical Actions of Dihedral Groups
• Prelude to Musical Geometry
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: GeneralizedTonnetze