The generalized Tonnetz

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Abstract

This article relates two categories of music-theoretical graphs, in which points represent notes and chords, respectively. It unifies previous work by Brower, Callender, Cohn, Douthett, Gollin, O'Connell, Quinn, Steinbach, and myself, while also introducing new models of voice-leading structure-including a three-note octahedral Tonnetz and tetrahedral models of four-note diatonic and chromatic chords.

Original languageEnglish (US)
Pages (from-to)1-52
Number of pages52
JournalJournal of Music Theory
Volume56
Issue number1
DOIs
StatePublished - Mar 2012

All Science Journal Classification (ASJC) codes

  • Music

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