https://doi.org/10.1140/epjp/s13360-022-03456-2
Regular Article
Dyad’s consonance and dissonance: combining the compactness and roughness approaches
1
Department of Physics and Earth Science, Ferrara University, Ferrara, Italy
2
Istituto Nazionale di Fisica Nucleare, Sez. Ferrara, Ferrara, Italy
3
Information Technology Department, CERN, Geneva, Switzerland
4
CNR Institute for Microelectronics and Microsystems, Bologna, Italy
Received:
20
May
2022
Accepted:
3
November
2022
Published online:
17
November
2022
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.
© The Author(s) 2022
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