Gauge models of musical forces

DOI10.1080/17459737.2020.1716404zbMath1472.00044OpenAlexW3007535575MaRDI QIDQ5152275

Peter beim Graben, Reinhard Blutner

Publication date: 17 September 2021

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

Full work available at URL: https://doi.org/10.1080/17459737.2020.1716404

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Mathematics and music (00A65)

Related Items (3)

Quantum-musical explorations on \(\mathbb{Z}_n\) ⋮ A quantum vocal theory of sound ⋮ Introduction to gestural similarity in music. An application of category theory to the orchestra

Cites Work

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• Cool math for hot music. A first introduction to mathematics for music theorists
• A symmetric quantum theory of modulation in \(Z\!\!Z_{20}\)
• Modelling tonal attraction: tonal hierarchies, interval cycles, and quantum probabilities
• Quantum approaches to music cognition
• Historical roots of gauge invariance

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