logo EDITE Helianthe CAURE
Helianthe CAURE
État académique
Thèse soutenue le 2016-06-24
Sujet: Outils algébriques pour l'étude des canons rythmiques mosaïques et lien avec des conjectures ouvertes en mathématiques.
Direction de thèse:
Ellipse bleue: doctorant, ellipse jaune: docteur, rectangle vert: permanent, rectangle jaune: HDR. Trait vert: encadrant de thèse, trait bleu: directeur de thèse, pointillé: jury d'évaluation à mi-parcours ou jury de thèse.
Productions scientifiques
Modulus p rhythmic tiling canons and some implementations in OpenMusic visual programming language
cote interne IRCAM: Caure14a
None / None
National audience
e concept of rhythmic canons, as it has been introduced by mathematician Dan Vuza in the 1990s, is the art of filling the time axis with some finite rhythmic patterns and their translations, without onsets superposition. The musical notion have been linked with some mathematical results, and since then, its mathematical study has always followed a will of picturing every new results in the visual programming language OpenMusic, which enables mathematicians and composers to work together. In this paper we present some new results in an enriched version of rhythmic tiling canons, where some controlled superposition are allowed. This enhanced version of rhythmic tiling canons is presented at the beginning of this article, as well as main constructive results, because it is fairly recent. Then the paper focuses on the presentation of some generative transformations, building canons with the same superposition. The latter is at the heart of the study of canons allowing superposition, because they are the key of linking them back to seminal canons. In order to help composers experiment with these new canons, every constructive method has been implemented in OpenMusic as part of the MathTools environment.
Proceedings ICMC|SMC|2014 Proceedings ICMC|SMC|2014 https://hal.archives-ouvertes.fr/hal-01161082 Proceedings ICMC|SMC|2014, Sep 2014, Athens, Greece. pp.1077-1082, 2014ARRAY(0x7f03fee3b6b8) 2014-09
Thèse: Canons rythmiques et pavages modulaires.
Soutenance: 2016-06-24
Rapporteurs: Michel RIGO    Yann BUGEAUD