Finite self-similar sequences, permutation cycles, and music composition. Issue 3 (3rd July 2022)
- Record Type:
- Journal Article
- Title:
- Finite self-similar sequences, permutation cycles, and music composition. Issue 3 (3rd July 2022)
- Main Title:
- Finite self-similar sequences, permutation cycles, and music composition
- Authors:
- Adler, Christopher
Allouche, Jean-Paul - Abstract:
- Abstract : We partly decipher a family of finite integer sequences used in a musical composition of the first author, by showing in particular that they relate to arithmetic classical problems (counting cycles in a permutation, primitive roots modulo a prime number, Wieferich primes, etc.), and also to the art of shuffling cards and to the art of juggling. GRAPHICAL ABSTRACT: UF0001
- Is Part Of:
- Journal of mathematics and the arts. Volume 16:Issue 3(2022)
- Journal:
- Journal of mathematics and the arts
- Issue:
- Volume 16:Issue 3(2022)
- Issue Display:
- Volume 16, Issue 3 (2022)
- Year:
- 2022
- Volume:
- 16
- Issue:
- 3
- Issue Sort Value:
- 2022-0016-0003-0000
- Page Start:
- 244
- Page End:
- 261
- Publication Date:
- 2022-07-03
- Subjects:
- Retrograde inversion of musical themes -- self-similar sequences -- doubling modulo an odd integer -- cycles in permutations -- primitive roots -- Wieferich primes
Arts -- Mathematics -- Periodicals
700.151 - Journal URLs:
- http://www.tandf.co.uk/journals/titles/17513472.asp ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/17513472.2022.2116745 ↗
- Languages:
- English
- ISSNs:
- 1751-3472
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 5012.499000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 23883.xml