Hierarchical set theory

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2 Scopus citations


Musicians often operate with a hierarchy of scale-like collections, each embedded within the next, and with transposition and inversion available at every level. A particularly common technique is to counteract a transformation at one level with an analogous transformation in the intrinsic scale consisting of a chord’s own notes.

Original languageEnglish (US)
Pages (from-to)282-290
Number of pages9
JournalJournal of Mathematics and Music
Issue number2
StatePublished - 2023

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Music
  • Computational Mathematics
  • Applied Mathematics


  • contextual inversion
  • hierarchy
  • neo-Riemannian theory
  • set theory
  • twentieth-century theory
  • voice leading


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