Extension of Neo-Riemannian PLR-group to Seventh Chords

Year: 2012 Authors: Boris Kerkez

Core claim

A PS-group on major and minor seventh chords is isomorphic to D12 and can be generated by two involutive operations preserving chord-class closure.

Topics

neo-Riemannian theory, seventh chords, dihedral groups, pitch-class mapping

Domains

group theory, dihedral symmetry, modular arithmetic, combinatorics, music theory, composition, harmonic analysis

Methods

algebraic modeling, group action analysis, theorem-proof argument

Media

pitch-class sets, triad tables, seventh chord tables

Source status

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