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This article constructs generic voice-leading spaces by combining geometric approaches to voice leading with diatonic set theory. Unlike the continuous mod-12 spaces developed by Callender, Quinn, and Tymoczko, these mod-7 spaces are fundamentally discrete. The mathematical properties of these...
Despite differences in critical alignment, epistemological underpinnings, and reportorial coverage, studies of sonata forms nevertheless tend to share one feature: they devote the least amount of space to recapitulations. Two presuppositions might explain this neglect: (1) the recapitulation is...
Pitch spaces such as the circle of fifths model change through time in a composition, recording, or improvisation. Metric spaces theorized over the past twenty years do the same for changes (notated or not) in meter. Trajectories in either space and their potentially reinforcing or conflicting...
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