A Structural Theory of Rhythm Notation based on Tree Representations and Term Rewriting

Florent Jacquemard 1, 2 Pierre Donat-Bouillud 3, 2 Jean Bresson 2
1 MuTant - Synchronous Realtime Processing and Programming of Music Signals
Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6, IRCAM, CNRS - Centre National de la Recherche Scientifique
2 Repmus - Représentations musicales
STMS - Sciences et Technologies de la Musique et du Son
Abstract : We present a tree-based symbolic representation of rhythm notation suitable for processing with purely syntactic theoretical tools such as term rewriting systems or tree automata. Then we propose an equational theory, defined as a set of rewrite rules for transforming these representations. This theory is complete in the sense that from a given rhythm notation the rules permit to generate all notations of equivalent durations.
Keywords : antescofo
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Conference papers
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Florent Jacquemard, Pierre Donat-Bouillud, Jean Bresson. A Structural Theory of Rhythm Notation based on Tree Representations and Term Rewriting. Mathematics and Computation in Music: 5th International Conference, MCM 2015, Oscar Bandtlow and Elaine Chew, Jun 2015, London, United Kingdom. pp.12. ⟨hal-01138642⟩

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