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CCCG
2008

A Pumping Lemma for Homometric Rhythms

13 years 5 months ago
A Pumping Lemma for Homometric Rhythms
Homometric rhythms/chords (henceforth: rhythms) are those with the same histogram or multiset of intervals/distances. The purpose of this note is threefold. First to point out the potential importance of isospectral vertices in a pair of homometric rhythms. Second, to prove a "pumping lemma" that generates an infinite sequence of homometric rhythms that include isospectral vertices. And finally, to introduce the notion of polyphonic homometric rhythms, which apparently have not been previously explored.
Joseph O'Rourke, Perouz Taslakian, Godfried T. Tou
Added 29 Oct 2010
Updated 29 Oct 2010
Type Conference
Year 2008
Where CCCG
Authors Joseph O'Rourke, Perouz Taslakian, Godfried T. Toussaint
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