A Pumping Lemma for Homometric Rhythms

Authors

Joseph O'Rourke, Smith CollegeFollow
Perouz Taslakian, Université McGill
Godfried Toussaint, Université McGill

Document Type

Conference Proceeding

Publication Date

12-1-2008

Publication Title

Proceedings of the 20th Annual Canadian Conference on Computational Geometry, CCCG 2008

Abstract

Homometric rhythms (chords) 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 establish a method ("pumping") for generating 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.

First Page

99

Last Page

102

Rights

© the authors

Comments

Archived as published.

Recommended Citation

O'Rourke, Joseph; Taslakian, Perouz; and Toussaint, Godfried, "A Pumping Lemma for Homometric Rhythms" (2008). Computer Science: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/csc_facpubs/190