Bridging scale theory and geometrical approaches to harmony: the voice-leading duality between complementary chords

DOI10.1080/17459737.2016.1216186zbMath1354.00057OpenAlexW2554177737MaRDI QIDQ2957424

Daniel Harasim, Martin Rohrmeier, Stefan E. Schmidt

Publication date: 26 January 2017

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

Full work available at URL: https://doi.org/10.1080/17459737.2016.1216186

zbMATH Keywords

mathematical modelingharmonic distanceparsimonyscale theoryvoice leadinggeometric music theoryhexatonic polevoice-leading efficiency

Mathematics Subject Classification ID

Applications of graph theory (05C90) Metric spaces, metrizability (54E35) Mathematics and music (00A65)

Related Items

Fishing for complements with chord, scale, and rhythm nets, Distant Neighbors and Interscalar Contiguities, Axiomatic scale theory

Cites Work

• A formal concept analysis of harmonic forms and interval structures
• Mazzola’s Model of Fuxian Counterpoint
• The Geometry of Musical Chords
• Generalized Voice-Leading Spaces
• Musical intervals and special linear transformations
• Dinner Tables and Concentric Circles: A Harmony of Mathematics, Music, and Physics