Some remarks on hypergestural homology of spaces and its relation to classical homology

DOI10.1080/17459737.2020.1722269zbMath1471.00006OpenAlexW3008443756MaRDI QIDQ4993923

Juan Sebastián Arias-Valero, Emilio Lluis-Puebla

Publication date: 11 June 2021

Published in: Journal of Mathematics and Music (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17459737.2020.1722269

zbMATH Keywords

homologymathematical theory of musical gestures

Mathematics Subject Classification ID

Homological algebra in category theory, derived categories and functors (18G99) Mathematics and music (00A65)

Uses Software

• HexaChord

Cites Work

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• Categorical gestures, the diamond conjecture, Lewin's question, and the Hammerklavier Sonata
• Topology of musical data
• Diagrams, gestures and formulae in music
• Topological Structures in Computer-Aided Music Analysis
• Introduction to gestural similarity in music. An application of category theory to the orchestra
• Spaces of gestures are function spaces
• Singular homology on hypergestures
• Shall We (Math and) Dance?
• Filtration of Pitch-Class Sets Complexes

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