Abstract

The model described in Chap. 4 predicts the number of audible harmonics in complex tones, the multiplicity and tonalness (and hence consonance) of musical tone simultaneities (tones, dyads and chords), the various possible pitches of simultaneities and their perceptual importances (saliences), and the roots of chords. It also predicts the strength of harmonic and melodic relationships between sequential musical sound (pitch commonality and pitch proximity). It quantifies sensory and cultural aspects of the tonality of chord progressions: repetition, sequential harmonic relationships (including the roots of broken chords), consonance, and implication (of triads, scales and keys). It enables “objective” psychoacoustical analysis of harmonic progressions, and may be applied in composition.KeywordsPure ToneComplex ToneMusic TheoryWestern MusicPitch DistanceThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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