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arXiv · 2307.13120

Euclidean rhythm with palindromic rests

Paraj Mukherjee
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Abstract

The structure of the Euclidean algorithm can be used to generate a very large family of rhythms. In this paper, we explore a very specific family of Euclidean rhythms, the Euclidean rhythms in which the rests have a palindromic structure. We look at the structural and geometric properties of such rhythms; most of the properties have a certain combinatorial interest. We also show how operations can be defined on such rhythms to construct a larger family of rhythms. Towards the end of the paper, we also show applications of these rhythms in contemporary Indian Classical music.

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Paraj Mukherjee. 2023-07-24. Euclidean rhythm with palindromic rests. https://arxiv.org/abs/2307.13120

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