Generating equivalent rhythmic notations based on rhythm tree languages

Florent Jacquemard 1 Adrien Ycart 1, 2 Masahiko Sakai 3
1 MuTant - Synchronous Realtime Processing and Programming of Music Signals
UPMC - Université Pierre et Marie Curie - Paris 6, IRCAM, CNRS - Centre National de la Recherche Scientifique, Inria de Paris
Abstract : We propose a compact presentation of languages of preferred rhythms notation as formal grammars. It is based on a standard structure of rhythm trees capturing a wide range of rhythms in Western notation. As an application, we then describe a dynamic programming algorithm for the lazy enumeration of equivalent rhythm notations (i.e. notations defining the same durations), from the simplest to the most complex. This procedure, based on the notion of rhythm grammars has been implemented and may be useful in the context of automated music transcription and computer-assistance to composition.
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Florent Jacquemard, Adrien Ycart, Masahiko Sakai. Generating equivalent rhythmic notations based on rhythm tree languages. Third International Conference on Technologies for Music Notation and Representation (TENOR), Helena Lopez Palma and Mike Solomon, May 2017, Coroña, Spain. ⟨hal-01403982⟩

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