Calculation of the acoustical properties of triadic harmonies

Simultaneous consonance in music perception and composition

Simultaneous consonance is a salient perceptual phenomenon corresponding to the perceived pleasantness of simultaneously sounding musical tones. Various competing theories of consonance have been proposed over the centuries, but recently a consensus has developed that simultaneous consonance is primarily driven by harmonicity perception. Here we question this view, substantiating our argument by critically reviewing historic consonance research from a broad variety of disciplines, reanalyzing consonance perception data from 4 previous behavioral studies representing more than 500 participants, and modeling three Western musical corpora representing more than 100,000 compositions. We conclude that simultaneous consonance is a composite phenomenon that derives in large part from three phenomena: interference, periodicity/harmonicity, and cultural familiarity. We formalize this conclusion with a computational model that predicts a musical chord's simultaneous consonance from these three features, and release this model in an open-source R package, incon, alongside 15 other computational models also evaluated in this paper. We hope that this package will facilitate further psychological and musicological research into simultaneous consonance. (PsycINFO Database Record (c) 2020 APA, all rights reserved).

The Triadic Roots of Human Cognition: "Mind" Is the Ability to go Beyond Dyadic Associations

Empirical evidence is reviewed indicating that the extraordinary aspects of the human mind are due to our species' ability to go beyond simple "dyadic associations" and to process the relations among three items of information simultaneously. Classic explanations of the "triadic" nature of human skills have been advocated by various scholars in the context of the evolution of human cognition. Here I summarize the core processes as found in (i) the syntax of language, (ii) tool-usage, and (iii) joint attention. I then review the triadic foundations of two perceptual phenomena of great importance in human aesthetics: (iv) harmony perception and (v) pictorial depth perception. In all five subfields of human psychology, most previous work has emphasized the recursive, hierarchical complexity of such "higher cognition," but a strongly reductionist approach indicates that the core mechanisms are triadic. It is concluded that the cognitive skills traditionally considered to be "uniquely" human require three-way associational processing that most non-Primate animal species find difficult or impossible, but all members of Homo sapiens - regardless of small cultural differences - find easy and inherently intriguing.