Cook & Fujisawa (2006) point out that, contrary to the predictions of psychoacoustic models, the diminished triad is more consonant and prevalent in western tonal music than the augmented. A possible simple explanation is that the diminished triad often functions as an incomplete dominant (major-minor) seventh chord, the most prevalent tetrad in mainstream tonal music.
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Richard Parncutt (2006) studied this question.
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