Finite self-similar sequences, permutation cycles, and music composition

DOI10.1080/17513472.2022.2116745OpenAlexW4294898293MaRDI QIDQ5047020

Christopher Adler, Jean-Paul Allouche

Publication date: 9 November 2022

Published in: Journal of Mathematics and the Arts (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513472.2022.2116745

zbMATH Keywords

primitive rootsWieferich primesself-similar sequencescycles in permutationsdoubling modulo an odd integerretrograde inversion of musical themes

Mathematics Subject Classification ID

Mathematics and visual arts (00A66)

Uses Software

• OEIS

Cites Work

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• Teaching permutations through rhythm patterns
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• Finite automata and morphisms in assisted musical composition*

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