Three Conceptions of Musical Distance

Year: 2009 Authors: Dmitri Tymoczko

Core claim

Different musical distance models can yield comparable results, so theorists must choose the geometry that best fits the musical question.

Topics

musical distance, voice leading, Tonnetz, Fourier transform, quality space

Domains

geometry, quotient spaces, orbifolds, discrete Fourier transform, music theory, music analysis

Methods

comparative theoretical analysis, geometric modeling, lattice representation, Fourier-based construction

Media

chords, pitch classes, tuning lattices, orbifolds

Source status

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