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Titlebook: Mathematics and Computation in Music; 8th International Co Mariana Montiel,Octavio A. Agustín-Aquino,Brent Mi Conference proceedings 2022 T

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Mathematics and Computation in Music978-3-031-07015-0Series ISSN 0302-9743 Series E-ISSN 1611-3349
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Spline Modeling of Audio Signals with Cycle Interpolationto cycles using zero-crossings, and each cycle is modeled with a . cubic interpolating spline based on some target number of interpolation points. We reduce the data in the model by reducing the number of key cycles which are used to generate intermediate cycles by the method of interpolation of .-spline coefficients, or cycle interpolation.
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A Set-Theoretic Model of Meter and Metric DissonanceA set-theoretic of model of musical meter is formalized, building up from time points to pulses to meters to metric relations. The model of metric relations formalizes work on metric dissonance, and refines the displacement/grouping taxonomy under current usage.
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Euler’s “Tentamen”: Historical and Mathematical Aspects on the Consonance TheoryThe . is a treatise in which Euler elaborated a new music theory using mathematics. The aim of this paper is to explain his theoretical system to justify the pleasure of listening to music and to analyze differences and similarities with other consonance theories.
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