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LR property of non-well-formed scales

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Publication:2820948
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DOI10.1080/17459737.2016.1164907zbMath1346.00045OpenAlexW2400822038MaRDI QIDQ2820948

Manuel Domínguez Romero, Marco Castrillón López

Publication date: 16 September 2016

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

Full work available at URL: https://doi.org/10.1080/17459737.2016.1164907


zbMATH Keywords

Christoffel wordsLyndon wordsstandard factorizationwell-formed scalesgenerated scalesnon-well-formed wordsThree Distance Theorem


Mathematics Subject Classification ID

Combinatorics on words (68R15) Mathematics and music (00A65)


Related Items (3)

Rich words in the block reversal of a word ⋮ Perfect balance and circularly rich words ⋮ Axiomatic scale theory



Cites Work

  • Unnamed Item
  • On an involution of Christoffel words and Sturmian morphisms
  • Théorème des trois longueurs et suites sturmiennes : mots d'agencement des longueurs
  • Continued fractions, best measurements, and musical scales and intervals
  • Coherence and sameness in well-formed and pairwise well-formed scales
  • Musical intervals and special linear transformations
  • An algebra for periodic rhythms and scales
  • Lambda Words: A Class of Rich Words Defined Over an Infinite Alphabet




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