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Topology of Networks in Generalized Musical Spaces

Topology of Networks in Generalized Musical Spaces The abstraction of musical structures as mathematical objects in a geometrical space is one of the major accomplishments of contemporary music theory. The author generalizes the concept of musical spaces as networks and derives compositional design principles via network topology analysis. This approach provides a framework for analysis and quantification of similarity of musical objects and structures and suggests a way to relate such measures to human perception of different musical entities. Finally, network analysis provides alternative ways of interpreting the compositional process by quantifying emergent behaviors with well-established statistical mechanics. Interpreting the latter as probabilistic randomness in the network, the author develops novel compositional design frameworks. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Leonardo Music Journal MIT Press

Topology of Networks in Generalized Musical Spaces

Leonardo Music Journal , Volume 30: 6 – Dec 2, 2020

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Publisher
MIT Press
Copyright
Copyright © MIT Press
ISSN
0961-1215
eISSN
1531-4812
DOI
10.1162/lmj_a_01079
Publisher site
See Article on Publisher Site

Abstract

The abstraction of musical structures as mathematical objects in a geometrical space is one of the major accomplishments of contemporary music theory. The author generalizes the concept of musical spaces as networks and derives compositional design principles via network topology analysis. This approach provides a framework for analysis and quantification of similarity of musical objects and structures and suggests a way to relate such measures to human perception of different musical entities. Finally, network analysis provides alternative ways of interpreting the compositional process by quantifying emergent behaviors with well-established statistical mechanics. Interpreting the latter as probabilistic randomness in the network, the author develops novel compositional design frameworks.

Journal

Leonardo Music JournalMIT Press

Published: Dec 2, 2020

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