The Geometry of Musical Chords
From MaRDI portal
Publication:3101409
DOI10.1126/science.1126287zbMath1226.00026OpenAlexW2076118826WikidataQ30541952 ScholiaQ30541952MaRDI QIDQ3101409
Publication date: 28 November 2011
Published in: Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1126/science.1126287
Group actions on manifolds and cell complexes in low dimensions (57M60) Mathematics and music (00A65)
Related Items (42)
Anosov actions of isometry groups on Lorentzian 2-orbifolds ⋮ Tone colour in music and bifurcation control ⋮ Maximal area sets and harmony ⋮ 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 ⋮ The inequality factor: skewness and kurtosis as a measure of set-class cohesion ⋮ Two musical orderings ⋮ Topology of musical data ⋮ The Continuous Hexachordal Theorem ⋮ Three Conceptions of Musical Distance ⋮ Voicing Transformations of Triads ⋮ Hypercube + Rubik's cube + music = hypercubeharmonic ⋮ Constructing Geometrical Spaces from Acoustical Representations ⋮ Geometry, Iterated Quantization and Filtered Voice-Leading Spaces ⋮ Bridging scale theory and geometrical approaches to harmony: the voice-leading duality between complementary chords ⋮ Genredynamics: a perceptual calculus of genre ⋮ Fishing for complements with chord, scale, and rhythm nets ⋮ Maximally even sets and configurations: common threads in mathematics, physics, and music ⋮ Semipredictable dynamical systems ⋮ Exploring the space of perfectly balanced rhythms and scales ⋮ Two disjoint independent bases in matroid-graph pairs ⋮ Minimum many-to-many matchings for computing the distance between two sequences ⋮ Generalized Tonnetz and discrete Abel-Jacobi map ⋮ Arithmetic of Heisenberg ring and cyclic group actions ⋮ Parsimonious graphs for the most common trichords and tetrachords ⋮ Thinking music with precision, depth, and passion ⋮ Computational geometric aspects of rhythm, melody, and voice-leading ⋮ Harmonic distance in intervals and chords ⋮ An algorithmic approach to South Indian classical music ⋮ 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 ⋮ Modelling the similarity of pitch collections with expectation tensors ⋮ GeneralizedTonnetze ⋮ Fourier Phase and Pitch-Class Sum ⋮ Distant Neighbors and Interscalar Contiguities ⋮ Formalization of Voice-Leadings and the Nabla Algorithm ⋮ Why topology? ⋮ Axiomatic scale theory ⋮ Lattice-based and topological representations of binary relations with an application to music
This page was built for publication: The Geometry of Musical Chords
