A Model of Scores as Abstract Syntactic Trees.

Gonzalo Romero-García,Carlos Agón,Isabelle Bloch

Mathematics and Computation in Music(2024)

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Abstract
This paper deals with the structure of a musical piece. The score is modeled as an Abstract Syntactic Tree (AST) to account for the hierarchy of its elements. Formal definitions of harmony, texture and instrumentation are proposed and constitute the main components of the model. Concatenation and parallelization operators are then proposed to combine these components and organize them in a tree structure. This approach is illustrated on some examples.
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