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(2015) Mathematics and computation in music, Dordrecht, Springer.
A structural theory of rhythm notation based on tree representations and term rewriting
Florent Jacquemard, Pierre Donat-Bouillud, Jean Bresson
pp. 3-15
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
DOI: 10.1007/978-3-319-20603-5_1
Full citation:
Jacquemard, F. , Donat-Bouillud, P. , Bresson, J. (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, pp. 3-15.
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