Euclidean rhythm with palindromic rests

TL;DR

This paper investigates a specific family of Euclidean rhythms with palindromic rests, exploring their structural properties, defining operations to generate more rhythms, and demonstrating their application in Indian Classical music.

Contribution

It introduces and analyzes Euclidean rhythms with palindromic rests, expanding the understanding of their structure and applications in music.

Findings

Structural and geometric properties of palindromic Euclidean rhythms

Operations to generate larger families of such rhythms

Applications in Indian Classical music

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.