Motivic rhythms. Issue 1 (2nd January 2021)
- Record Type:
- Journal Article
- Title:
- Motivic rhythms. Issue 1 (2nd January 2021)
- Main Title:
- Motivic rhythms
- Authors:
- Connes, Alain
- Abstract:
- Abstract : In this article on mathematics and music, we explain how one can "listen to motives" as rhythmic interpreters. In the simplest instance which is the one we shall consider, the motive is simply the H 1 of the reduction modulo a prime p of an hyperelliptic curve (defined over Q ). The corresponding time onsets are given by the arguments of the complex eigenvalues of the Frobenius. We find a surprising relation between mathematical properties of the motives and the ideas on rhythms developed by the composer Olivier Messiaen.
- Is Part Of:
- Journal of mathematics and music. Volume 15:Issue 1(2021)
- Journal:
- Journal of mathematics and music
- Issue:
- Volume 15:Issue 1(2021)
- Issue Display:
- Volume 15, Issue 1 (2021)
- Year:
- 2021
- Volume:
- 15
- Issue:
- 1
- Issue Sort Value:
- 2021-0015-0001-0000
- Page Start:
- 1
- Page End:
- 16
- Publication Date:
- 2021-01-02
- Subjects:
- motives -- hyperelliptic curve -- primes -- Eratosthenes sieve
00A65
Music theory -- Periodicals
Music -- Mathematical models -- Periodicals
Music -- Mathematics -- Periodicals
781.2 - Journal URLs:
- http://www.tandf.co.uk/journals/titles/17459737.asp ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/17459737.2020.1817587 ↗
- Languages:
- English
- ISSNs:
- 1745-9737
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 5012.800000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 22736.xml