Axiomatic scale theory
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Publication:4993922
DOI10.1080/17459737.2019.1696899zbMath1466.00016OpenAlexW2999185245WikidataQ126380949 ScholiaQ126380949MaRDI QIDQ4993922
Martin Rohrmeier, Stefan E. Schmidt, Daniel Harasim
Publication date: 11 June 2021
Published in: Journal of Mathematics and Music (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17459737.2019.1696899
scaleswell-formed scalesaxiomatic modelinggeneralized interval systemsmaximally even setscyclic ordered setsmathematical scale theory
Cites Work
- Cyclic ordering is NP-complete
- Maximally even sets and configurations: common threads in mathematics, physics, and music
- LR property of non-well-formed scales
- Triads as Modes within Scales as Modes
- Bridging scale theory and geometrical approaches to harmony: the voice-leading duality between complementary chords
- Mathematical and Musical Properties of Pairwise Well-Formed Scales
- WF Scales, ME Sets, and Christoffel Words
- The Geometry of Musical Chords
- Musical intervals and special linear transformations
- David Lewin and maximally even sets
- Musical Scales and the Generalized Circle of Fifths
- Partial and complete cyclic orders
- Music and combinatorics on words: a historical survey
- Distant Neighbors and Interscalar Contiguities
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