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Conference Papers Year : 2015

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

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.

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Dates and versions

hal-01138642 , version 1 (02-04-2015)

Identifiers

  • HAL Id : hal-01138642 , version 1

Cite

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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