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By Root 886 0

I close my work. It appears to me that I have carried it as far as the physiological properties of the sensation of hearing exercise a direct influence on the construction of a musical system, that is, as far as the work especially belongs to natural philosophy. . . . The real difficulty would lie in the development of the psychical motives which here [in the esthetics of music] assert themselves. Certainly this is the point where the more interesting part of musical esthetics begins, the aim being to explain the wonders of great works of art, and to learn the utterances and actions of the various affections of the mind. But, however alluring such an aim may be, I prefer leaving others to carry out such investigations, in which I should feel myself too much of an amateur, while I myself remain on the safe ground of natural philosophy, in which I am at home.” (New York, Dover Publications, 1954, p. 371.)

To my knowledge, no one has attempted “to carry out such investigations.” The context and the shrinking scale of modern psychology and philosophy, would have made an undertaking of this kind impossible.

From the standpoint of psycho-epistemology, I can offer a hypothesis on the nature of man’s response to music, but I urge the reader to remember that it is only a hypothesis.

If man experiences an emotion without existential object, its only other possible object is the state or actions of his own consciousness. What is the mental action involved in the perception of music? (I am not referring to the emotional reaction, which is the consequence, but to the process of perception.)

We must remember that integration is a cardinal function of man’s consciousness on all the levels of his cognitive development. First, his brain brings order into his sensory chaos by integrating sense data into percepts; this integration is performed automatically; it requires effort, but no conscious volition. His next step is the integration of percepts into concepts, as he learns to speak. Thereafter, his cognitive development consists in integrating concepts into wider and ever wider concepts, expanding the range of his mind. This stage is fully volitional and demands an unremitting effort. The automatic processes of sensory integration are completed in his infancy and closed to an adult.

The single exception is in the field of sounds produced by periodic vibrations, i.e., music.

The sounds produced by nonperiodic vibrations are noise. One may listen to noise for an hour, a day or a year, and it remains just noise. But musical tones heard in a certain kind of succession produce a different result—the human ear and brain integrate them into a new cognitive experience, into what may be called an auditory entity: a melody. The integration is a physiological process; it is performed unconsciously and automatically. Man is aware of the process only by means of its results.

Helmholtz has demonstrated that the essence of musical perception is mathematical: the consonance or dissonance of harmonies depends on the ratios of the frequencies of their tones. The brain can integrate a ratio of one to two, for instance, but not of eight to nine. (This does not mean that dissonances cannot be integrated; they can, in the proper musical context.)

Helmholtz was concerned mainly with tones heard simultaneously. But his demonstration indicates the possibility that the same principles apply to the process of hearing and integrating a succession of musical tones, i.e., a melody—and that the psycho-epistemological meaning of a given composition lies in the kind of work it demands of a listener’s ear and brain.

A composition may demand the active alertness needed to resolve complex mathematical relationships—or it may deaden the brain by means of monotonous simplicity. It may demand a process of building an integrated sum—or it may break up the process of integration into an arbitrary series of random bits—or it may obliterate the process by a jumble of sounds mathematically-physiologically impossible to integrate, and thus turn into noise.

The listener becomes