Quantifying the Rationality of Rhythmic Signals

نویسندگان

چکیده

Rhythms and vibrations represent the quintessence of life, they are ubiquitous (systemic) in all living systems. Recognising, unfolding these rhythms is paramount medicine, for example, physiology heart, lung, hearing, speech, brain, cellular molecular processes involved biological clocks. The importance commensurability frequencies different has been thoroughly studied music. We define a log-frequency correlation measure on spectral densities that gives temporal evolution distribution frequency ratios (rational or irrational) between two signals, using analytic wavelets. illustrate concepts numerical signals (sums sine functions) voice recordings from Voice-Icar-Federico II database. Finally, with second operation distributions (a reference one other voices), we introduce another quantity call sonance, measuring “harmony” (rationality) voices sung together as function pitch transposition.

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ژورنال

عنوان ژورنال: Applied and numerical harmonic analysis

سال: 2023

ISSN: ['2296-5009', '2296-5017']

DOI: https://doi.org/10.1007/978-3-030-45847-8_24