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By Root 882 0

of mind, Helmholtz indicates the following, in a discussion of the difference between the major and minor keys: “The major mode is well suited for all frames of mind which are completely formed and clearly understood, for strong resolve, and for soft and gentle or even for sorrowing feelings, when the sorrow has passed into the condition of dreamy and yielding regret. But it is quite unsuited for indistinct, obscure, unformed frames of mind, or for the expression of the dismal, the dreary, the enigmatic, the mysterious, the rude, and whatever offends against artistic beauty;—and it is precisely for these that we require the minor mode, with its veiled harmoniousness, its changeable scale, its ready modulation, and less intelligible basis of construction. The major mode would be an unsuitable form for such purposes, and hence the minor mode has its own proper artistic justification as a separate system.” (On the Sensations of Tone, p. 302.)

My hypothesis would explain why men hear the same emotional content in a given piece of music even though they differ in their evaluations. Cognitive processes affect man’s emotions which affect his body, and the influence is reciprocal. For instance, the successful solution of an intellectual problem creates a joyous, triumphant mood; failure to solve a problem creates a painful mood of dejection or discouragement. And conversely: a joyous mood tends to sharpen, accelerate, energize one’s mind; a mood of sadness tends to blur the mind, to burden it, to slow it down. Observe the melodic and rhythmic characteristics of the types of music we regard as gay or sad. If a given process of musical integration taking place in a man’s brain resembles the cognitive processes that produce and/or accompany a certain emotional state, he will recognize it, in effect, physiologically, then intellectually. Whether he will accept that particular emotional state, and experience it fully, depends on his sense-of-life evaluation of its significance.

The epistemological aspect of music is the fundamental, but not the exclusive, factor in determining one’s musical preferences. Within the general category of music of equal complexity, it is the emotional element that represents the metaphysical aspect controlling one’s enjoyment. The issue is not merely that one is able to perceive successfully, i.e., to integrate a series of sounds into a musical entity, but also: what sort of entity does one perceive? The process of integration represents the concretized abstraction of one’s consciousness, the nature of the music represents the concretized abstraction of existence—i.e., a world in which one feels joyous or sad or triumphant or resigned, etc. According to one’s sense of life, one feels: “Yes, this is my world and this is how I should feel!” or: “No, this is not the world as I see it.” (As in the other arts, one may appreciate the esthetic value of a given composition, yet neither like nor enjoy it.)

The scientific research that would be needed to prove this hypothesis is enormous. To indicate just a few of the things which proof would require: a computation of the mathematical relationships among the tones of a melody—a computation of the time required by the human ear and brain, to integrate a succession of musical sounds, including the progressive steps, the duration and the time limits of the integrating process (which would involve the relationship of tones to rhythm)—a computation of the relationships of tones to bars, of bars to musical phrases, of phrases to ultimate resolution—a computation of the relationships of melody to harmony, and of their sum to the sounds of various musical instruments, etc. The work involved is staggering, yet this is what the human brain—the composer’s, the performer’s and the listener’s—does, though not consciously.

If such calculations were made and reduced to a manageable number of equations, i.e., of principles, we would have an objective vocabulary of music. It would be a mathematical vocabulary, based on the nature of sound and on the nature of man’s faculty of hearing