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
Type de document :
Communication dans un congrès
Tom Collins, David Meredith and Anja Volk. Mathematics and Computation in Music: 5th International Conference, MCM 2015, Jun 2015, London, United Kingdom. Springer, 9110, pp.12, 2015, Lecture Notes in Artificial Intelligence. 〈http://mcm2015.qmul.ac.uk〉
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Florent Jacquemard, Pierre Donat-Bouillud, Jean Bresson. A Structural Theory of Rhythm Notation based on Tree Representations and Term Rewriting. Tom Collins, David Meredith and Anja Volk. Mathematics and Computation in Music: 5th International Conference, MCM 2015, Jun 2015, London, United Kingdom. Springer, 9110, pp.12, 2015, Lecture Notes in Artificial Intelligence. 〈http://mcm2015.qmul.ac.uk〉. 〈hal-01138642〉

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