Dyad’s consonance and dissonance: combining the compactness and roughness approaches

At present, there are two approaches that aim at explaining on physical grounds the psychoacoustic perception of consonance and dissonance for dyads, whose pioneers have been, respectively, Galilei and Helmholtz: One is based on the “compactness” of the waveform of the combined signal, while the oth...

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Bibliographic Details
Published in:European physical journal plus 2022-11, Vol.137 (11), p.1254, Article 1254
Main Authors: Masina, Isabella, Lo Presti, Giuseppe, Stanzial, Domenico
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Atomic
Chi-square test
Complex Systems
Condensed Matter Physics
Datasets
Mathematical and Computational Physics
Molecular
Optical and Plasma Physics
Perceptions
Physics
Physics and Astronomy
Ratios
Regular Article
Roughness
Theoretical
Waveforms
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Summary:At present, there are two approaches that aim at explaining on physical grounds the psychoacoustic perception of consonance and dissonance for dyads, whose pioneers have been, respectively, Galilei and Helmholtz: One is based on the “compactness” of the waveform of the combined signal, while the other on the absence of “roughness” due to possible beats. We perform a detailed study of each approach and find that none of the associated model versions, not even the more refined ones, is fully satisfactory when faced to perceptual data on dyads. We show that combining the two approaches results instead in a surprisingly successful agreement with perceptual data: This demonstrates that compactness and roughness are both necessary ingredients for a phenomenological description of consonance and dissonance. Graphical abstract
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-022-03456-2