Iterative method of construction of good rhythms

2017/11/06 by Fumio Hazama, Hazama, Fumio
Engineering · Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Mechanics and Biomechanics Studies #math.CO

paper · pdf · doi:10.48550/arxiv.1711.01734

33 pages, 3 figures

arxiv created 2017/11/06 · openalex publication_date 2017/11/06 · arxiv updated 2017/11/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 r of the space there exists a nonnegative integer k such that F^k(r) falls into the category of "maximally even rhythms" investigated in [1].

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