Sturmian Canons

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7937)


Sturmian words are balanced, almost periodic, self-similar and hierarchical infinite sequences that have been studied in music theory in connection with diatonic scale theory and related subjects. Carey and Camplitt (1996) give a brief but suggestive rhythmic example in which these properties are made manifest in a particularly visceral manner. The present paper expands upon this example, considering the properties of canons based on Sturmian words, or Sturmian canons. In particular, a Sturmian word of irrational slope a with a hierarchical periodicity of p gives rise to p-tuple canons, the voices and relations of which are determined by the terms of the continued fraction expansion of a.


Sturmian word canon self-similarity 


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© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Florida State UniversityUSA

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