Scalar context in musical models
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Publication:3453720
DOI10.1080/17459737.2013.820804zbMath1327.00024OpenAlexW2043378020MaRDI QIDQ3453720
Richard Plotkin, Jack Douthett
Publication date: 30 November 2015
Published in: Journal of Mathematics and Music (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17459737.2013.820804
Related Items (5)
Toward the reconciliation of mathematical theories of voice leading ⋮ A space for inflections: following up onJMM’s special issue on mathematical theories of voice leading ⋮ Geometry, Iterated Quantization and Filtered Voice-Leading Spaces ⋮ Partitions, their classes, and multicolour evenness ⋮ Distant Neighbors and Interscalar Contiguities
Cites Work
- Computational geometric aspects of rhythm, melody, and voice-leading
- Maximally even sets and configurations: common threads in mathematics, physics, and music
- Tonal prisms: iterated quantization in chromatic tonality and Ravel's ‘Ondine’
- Thoughts and reactions
- Continued fractions, best measurements, and musical scales and intervals
- Enharmonic systems: A theory of key signatures, enharmonic equivalence and diatonicism
- Maximally even sets and the devil’s-staircase phase diagram for the one-dimensional Ising antiferromagnet with arbitrary-range interaction
- Algorithmic and computational approaches to pure-tone approximations of equal-tempered musical scales
- Energy extremes and spin configurations for the one-dimensional antiferromagnetic Ising model with arbitrary-range interaction
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