The T-Calculus : towards a structured programing of (musical) time and space

Abstract : In the field of music system programming, the T-calculus is a proposal for combining space modeling and time programming into a single programming feature: spatiotemporal tiled programming. Based on a solid algebraic model, it aims at decomposing every operation on musical objects into the sequence of a synchronization operation that describes how objects are positioned one with respect the other, and a fusion operation that describes how their values are then combined. A first simple version of such a tiled calculus is presented and studied in this paper. 1 Introduction
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David Janin, Florent Berthaut, Myriam Desainte-Catherine, Yann Orlarey, Sylvain Salvati. The T-Calculus : towards a structured programing of (musical) time and space. FARM 2013, 2013, Boston, United States. pp.23-34, ⟨10.1145/2505341.2505347⟩. ⟨hal-00789189v3⟩

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