Neo-Riemannian Geometry

Year: 2008 Authors: Rachel W. Hall

Core claim

Contextual transpositions and inversions can be understood on CQT spaces either via bundle/topological group theory or as a family of linear transformations, each with tradeoffs.

Topics

neo-Riemannian transformations, contextual transformations, voice-leading spaces, group actions

Domains

group theory, topology, dynamical systems, geometry, music theory, composition, sound studies

Methods

bundle construction, linear transformations, orbit analysis, group action modeling

Media

triads, ordered pitch multisets, CQT spaces, 12-tone equal temperament

Source status

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