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Iterative method of construction of good rhythms

Published 6 Nov 2017 in math.CO | (1711.01734v1)

Abstract: On the space of rhythms of arbitrary length with a fixed number of onsets, a self map $F$ is constructed. It is shown that for any rhythm $\mathbf{r}$ of the space there exists a nonnegative integer $k$ such that $Fk(\mathbf{r})$ falls into the category of "maximally even rhythms" investigated in [1].

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