Maximally even sets and configurations: common threads in mathematics, physics, and music

DOI10.1007/s10878-006-9041-5zbMath1149.90163OpenAlexW2074525706MaRDI QIDQ2426649

Jack Douthett, Richard Krantz

Publication date: 23 April 2008

Published in: Journal of Combinatorial Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10878-006-9041-5

zbMATH Keywords

Ising modelSpectraConvex weighting functionsMaximally evenMusical scales

Mathematics Subject Classification ID

Programming involving graphs or networks (90C35) Combinatorial optimization (90C27)

Related Items (6)

Toward the reconciliation of mathematical theories of voice leading ⋮ Scalar context in musical models ⋮ Geometry and the quest for theoretical generality ⋮ Can a Musical Scale Have 14 Generators? ⋮ David Lewin and maximally even sets ⋮ Axiomatic scale theory

Cites Work

• Maximal area sets and harmony
• Mathematical and Musical Properties of Pairwise Well-Formed Scales
• The Geometry of Musical Chords
• Prelude to Musical Geometry
• Enharmonic systems: A theory of key signatures, enharmonic equivalence and diatonicism
• Musical Scales and the Generalized Circle of Fifths
• Maximally even sets and the devil’s-staircase phase diagram for the one-dimensional Ising antiferromagnet with arbitrary-range interaction
• Energy extremes and spin configurations for the one-dimensional antiferromagnetic Ising model with arbitrary-range interaction
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