Toward the reconciliation of mathematical theories of voice leading

Marek Žabka

3 citations0/0 files storedJournal of Mathematics and Music

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Musicology and Musical Analysis Music Technology and Sound Studies Advanced Combinatorial Mathematics

Abstract

In recent years, we have witnessed a flourishing of several interrelated mathematical theories that model various collections of tones (such as chords or scales, in a very broad sense) and their vo...

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References

1998Introduction to Neo-Riemannian Theory: A Survey and a Historical Perspective 2011A geometry of music: harmony and counterpoint in the extended common practice 2006The Geometry of Musical Chords 1998Parsimonious Graphs: A Study in Parsimony, Contextual Transformations, and Modes of Limited Transposition 2012Audacious EuphonyChromatic Harmony and the Triad's Second Nature 2008Generalized Voice-Leading Spaces 1991Maximally Even Sets 1985Variety and Multiplicity in Diatonic Systems

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