Hierarchical set theory

Research output: Contribution to journalArticlepeer-review

Abstract

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
Volume17
Issue number2
DOIs
StatePublished - 2023

All Science Journal Classification (ASJC) codes

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

Keywords

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

Fingerprint

Dive into the research topics of 'Hierarchical set theory'. Together they form a unique fingerprint.

Cite this