2:3:4 Harmony within the tritave

DOI10.1080/17459737.2019.1605626zbMath1429.00016arXiv1709.00375OpenAlexW3104030163MaRDI QIDQ5212983

Markus Schmidmeier

Publication date: 31 January 2020

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

Full work available at URL: https://arxiv.org/abs/1709.00375

zbMATH Keywords

scalesharmonycontinued fractionscompositionBohlen-Pierceneo-Riemannian \textit{Tonnetz}tritave

Mathematics Subject Classification ID

Algebraic combinatorics (05E99) Continued fractions (11A55) Mathematics and music (00A65)

Cites Work

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• On the construction, comparison, and exchangeability of tuning systems
• Algorithmic and computational approaches to pure-tone approximations of equal-tempered musical scales

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