Periodic musical sequences and Lyndon words

  • Authors:
  • M. Chemillier

  • Affiliations:
  • CNRS 9912, IRCAM-UMR, 1 place Igor Stravinsky, F-75004, Paris, France

  • Venue:
  • Soft Computing - A Fusion of Foundations, Methodologies and Applications
  • Year:
  • 2004

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Abstract

When one enumerates periodic musical structures, the computation is done up to a cyclic shift. This means that two solutions which are cyclic shifts of one another are considered the same. Lyndon words provide a powerful way to do so. We illustrate this by two examples taken from African traditional music.