Esthetics

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When the vibration-rate of one tone is twice that of another the tones are felt to have a resemblance or to blend in a unique way. This blending smoothly is the fact of consonance. Helmholtz has ascribed consonance and dissonance to the absence or presence, respectively, of beats. Certainly it is true that when beats are present in a striking degree the effect is rough and harsh, but since beats may be present when there is an impression of consonance and absent when there is an impression of d...issonance, they cannot be assumed as the sole cause of the feeling of dissonance. Stumpf has proposed as the psychological criterion of consonance the feeling of blending or fusion between tones. Persons with musical ear agree that the greatest identity, or closest degree of fusion, exists between a tone and its octave, next in identity being the fifth and the fourth. Stumpf, working on unmusical subjects, found an interesting confirmation of these judgments. Persons no music who are unmusical often find great difficulty in discrimi- nating the tones in the scale.

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