Generalized Voice-Leading Spaces

DOI10.1126/SCIENCE.1153021zbMath1226.00016OpenAlexW2150117890WikidataQ30368910 ScholiaQ30368910MaRDI QIDQ3101708

Ian Quinn, Dmitri Tymoczko, Clifton Callender

Publication date: 30 November 2011

Published in: Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1126/science.1153021

Mathematics Subject Classification ID

Applications of graph theory (05C90) Mathematics and music (00A65)

Related Items (32)

Tone colour in music and bifurcation control ⋮ ATonnetzmodel for pentachords ⋮ Toward the reconciliation of mathematical theories of voice leading ⋮ Contemporary methods in mathematical music theory: a comparative case study ⋮ Geometry and the quest for theoretical generality ⋮ Tonal prisms: iterated quantization in chromatic tonality and Ravel's ‘Ondine’ ⋮ A space for inflections: following up onJMM’s special issue on mathematical theories of voice leading ⋮ The inequality factor: skewness and kurtosis as a measure of set-class cohesion ⋮ Two musical orderings ⋮ Topology of musical data ⋮ Generalized Voice Exchange ⋮ Three Conceptions of Musical Distance ⋮ Voicing Transformations of Triads ⋮ Constructing Geometrical Spaces from Acoustical Representations ⋮ Geometry, Iterated Quantization and Filtered Voice-Leading Spaces ⋮ Using Fundamental Groups and Groupoids of Chord Spaces to Model Voice Leading ⋮ Bridging scale theory and geometrical approaches to harmony: the voice-leading duality between complementary chords ⋮ Introduction ⋮ Parsimonious graphs for the most common trichords and tetrachords ⋮ A dynamical approach to music analysis ⋮ Partitions, their classes, and multicolour evenness ⋮ Computational geometric aspects of rhythm, melody, and voice-leading ⋮ Harmonic distance in intervals and chords ⋮ Pseudo-distances between chords of different cardinality on generalized voice-leading spaces ⋮ Bifurcation control and sound intensities in musical art ⋮ Constrained voice-leading spaces ⋮ Empirically testingTonnetz, voice-leading, and spectral models of perceived triadic distance ⋮ On the construction, comparison, and exchangeability of tuning systems ⋮ Fourier Phase and Pitch-Class Sum ⋮ Autocorrelation of Pitch-Event Vectors in Meter Finding ⋮ Why topology? ⋮ GeneralizedTonnetzeandZeitnetze, and the topology of music concepts

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