A Polytemporal Model for Musical Scheduling
Résumé
This paper describes the temporal model of a scheduler geared towards show control and live music applications. This model relies on multiple interrelated temporal axes, called timescales. Timescales allow scheduling computations using abstract dates and delays, much like a score uses symbolic positions and durations (e.g. bars, beats, and note values) to describe musical time. Abstract time is ultimately mapped onto wall-clock time through the use of time transformations, specified as tempo curves, for which we provide a formalism in terms of differential equations on symbolic position. In particular, our model allows specifying tempo both as a function of time or as a function of symbolic position, and allows piecewise tempo curves to be built from parametric curves.
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