To quote Slaymaker:[19]
Dissonance and consonance
Some musical intervals played on instruments that
produce periodic tones sound smooth or consonant, while others sound rough or
dissonant. Helmholtz pointed out that dissonance results when the upper
partials of the tones in a chord produce audible beats. Plomp and Levelt made
Helmholtz's observation more specific by showing that the interfering partials
had to be within the critical bandwidth of the ear to produce the sensation of
dissonance.
The various musical intervals are now classified as dissonant or
consonant as a result of long experience of both the musical instruments and
the tone combinations possible with them. Once the classification of the
intervals as consonant or dissonant had been made, it was possible to judge
the musical acceptability of new instruments merely by sounding the various
consonant intervals with them. If dissonant sounds were produced, the
instrument was inacceptable [sic]. Because of this long process involving the
continuous interaction between the tone of the instruments and the form of the
rules of harmony, traditionally accepted instruments have evolved a tone
structure that is essentially harmonic and a spectral envelope, or formant
shape, that prevents serious beats being formed between closely spaced higher
partials, which could fall within the critical band of the ear.
Thus
traditional harmony results from the characteristics of the traditional
instruments of European music, the majority of which fall into the first
category discussed in 4.1 above, and also provides positive feedback for the
retention of these instruments, the acceptance of new ones which have the same
characteristics, and the rejection, or relegation to non-harmonic use, of
those instruments which do not conform to or approximate to conformity with
those characteristics.
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