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C. Brower (2008)
Paradoxes of Pitch SpaceMusic Analysis, 27
Suzannah Clark (2002)
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John Clough, J. Douthett (1991)
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Parsimonious Graphs: A Study in Parsimony, Contextual Transformations, and Modes of Limited TranspositionJournal of Music Theory, 42
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Dmitri Tymoczko (2006)
The Geometry of Musical ChordsScience, 313
E. Chew (2000)
Towards a mathematical model of tonality
Justin Hoffman (2008)
On Pitch-Class Set Cartography Relations between Voice-Leading Spaces and Fourier SpacesJournal of Music Theory, 52
Dmitri Tymoczko (2012)
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E. Gollin (1998)
Some Aspects of Three-Dimensional "Tonnetze"Journal of Music Theory, 42
Richard Cohn (1997)
Neo-Riemannian Operations, Parsimonious Trichords, and Their "Tonnetz" RepresentationsJournal of Music Theory, 41
Clifton Callender (2007)
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Clifton Callender, Ian Quinn, Dmitri Tymoczko (2008)
Generalized Voice-Leading SpacesScience, 320
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Dmitri Tymoczko (2008)
Scale Theory, Serial Theory and Voice LeadingMusic Analysis, 27
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Generalized Musical Intervals and Transformations
Dmitri Tymoczko (2009)
Generalizing Musical IntervalsJournal of Music Theory, 53
J. Roeder (1984)
A theory of voice leading for atonal music
Dmitri Tymoczko (2008)
Set-Class Similarity, Voice Leading, and the Fourier TransformJournal of Music Theory, 52
Richard Cohn (1996)
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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.
Journal of Music Theory – Duke University Press
Published: Mar 20, 2012
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