Towards a Topological Fingerprint of Music

DOI10.1007/978-3-319-39441-1_9zbMath1339.00005arXiv1602.00739OpenAlexW2964311960MaRDI QIDQ2815193

Adriano Baratè, Mattia G. Bergomi, Barbara Di Fabio

Publication date: 27 June 2016

Published in: Computational Topology in Image Context (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00739

zbMATH Keywords

classificationmusicclusteringpersistent homologyTonnetz

Mathematics Subject Classification ID

Mathematics and music (00A65)

Related Items (4)

Persistent homology on musical bars ⋮ Introduction ⋮ Filtration of Pitch-Class Sets Complexes ⋮ Homological persistence in time series: an application to music classification

Uses Software

• EDA
• dynamicTreeCut

Cites Work

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• Stability of persistence diagrams
• Natural pseudo-distance and optimal matching between reduced size functions
• The theory of multidimensional persistence
• Betti numbers in multidimensional persistent homology are stable functions
• Generalized Tonnetz and Well-Formed GTS: A Scale Theory Inspired by the Neo-Riemannians
• Computation and Visualization of Musical Structures in Chord-Based Simplicial Complexes
• Exploratory Data Analysis with MATLAB
• Size functions and formal series

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