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Journal of Mathematics and Music
Mathematical and Computational Approaches to Music Theory, Analysis, Composition and Performance
Volume 12, 2018 - Issue 3: Music and Combinatorics on Words
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Articles

Marcel Frémiot, determinism versus chaos, and the tower of Hanoi

Pages 258-264 | Received 23 Apr 2018, Accepted 04 Sep 2018, Published online: 03 May 2019
 

Abstract

Marcel Frémiot composed Messe pour orgue à l'usage des paroisses by using the tower of Hanoi puzzle. We give some context around this piece, describing in particular the Hanoi puzzle, its links with automatic sequences, and discussions with Marcel about ordered versus chaotic sequences.

Acknowledgments

As I was writing this paper, I found a homage to Marcel Frémiot dated 2013, by CitationCourdeau (2013). I take the liberty of quoting an extract of this beautiful text.

Ses connaissances musicales, historiques étaient immenses. Musiques savantes, populaires, contemporaines, chant grégorien, tout le passionnait et il transmettait ses passions. Mais surtout c'est par son regard original, critique, libre, irrévérencieux parfois, qu'il m'a fait aimer et comprendre bien des aspects de l'évolution musicale au cours des siècles. Ses cours étaient jubilatoires. Il fallait accepter de remettre en cause bien des idées reçues et dès lors l'analyse des œuvres prenait une toute autre dimension au filtre de son regard neuf, iconoclaste. […] Son regard aiguisé sur le monde, sur la société, sa parole libre, son courage, son talent, son intelligence lui ont permis d'emprunter un chemin singulier, loin des cours, des courants, des cénacles et des chapelles si nombreux dans les milieux culturels…lui qui n'a jamais rien fait comme tout le monde y compris dès ses débuts…en naissant un 29 février !

We thank J. Shallit for his comments on this article, and the referees for their useful remarks.

Disclosure statement

No potential conflict of interest was reported by the author.

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