The distance geometry of music

We demonstrate relationships between the classic Euclidean algorithm and many other fields of study, particularly in the context of music and distance geometry. Specifically, we show how the structure of the Euclidean algorithm defines a family of rhythms which encompass over forty timelines (ostina...

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Bibliographic Details
Main Authors: Demaine, Erik D., Gomez-Martin, Francisco, Meijer, Henk, Rappaport, David, Taslakian, Perouz, Winograd, Terry, Wood, David R., Toussaint, Godfried
Other Authors: Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Format: Article
Language:en_US
Published: Elsevier 2015
Online Access:http://hdl.handle.net/1721.1/96166
https://orcid.org/0000-0003-3803-5703