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This paper focuses on the nominal durations of musical events (notes andrests) in a symbolic musical score, and on how to conveniently handle these incomputer applications. We propose the usage of a temporal unit that is directlyrelated to the graphical symbols in musical scores and pair this with a set ofoperations that cover typical computations in music applications. We formalizethis time unit and the more commonly used approach in a single mathematicalframework, as semirings, algebraic structures that enable an abstractdescription of algorithms/processing pipelines. We then discuss some practicaluse cases and highlight when our system can improve such pipelines by makingthem more efficient in terms of data type used and the number of computations.

8+8=4: Formalizing Time Units to Handle Symbolic Music Durations