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A structural theory of rhythm notation based on tree representations and term rewriting
pp. 3-15
Abstrakt
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.
Publication details
Published in:
Collins Tom, Meredith David, Volk Anja (2015) Mathematics and computation in music: 5th international conference, MCM 2015, London, UK, June 22-25, 2015. Dordrecht, Springer.
Seiten: 3-15
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DOI: 10.1007/978-3-319-20603-5_1
Referenz:
Jacquemard Florent, Donat-Bouillud Pierre, Bresson Jean (2015) „A structural theory of rhythm notation based on tree representations and term rewriting“, In: T. Collins, D. Meredith & A. Volk (eds.), Mathematics and computation in music, Dordrecht, Springer, 3–15.