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remembered expression, passes into convention. Savages have a music singularly monotonous, automatic, and impersonal; they cannot resist the indulgence, though they probably have little pleasure in it. The same thing happens with customary sounds as with other prescribed ceremonies; to omit them would be shocking and well-nigh impossible, yet to repeat them serves no end further than to avoid a sense of strangeness or inhibition. These automatisms, however, in working themselves out, are not without certain retroactive effects: they leave the system exhausted or relieved, and they have meantime played more or less agreeably on the senses. The music we make automatically we cannot help hearing incidentally; the sensation may even modify the expression, since sensation too has its physical side. The expression is reined in and kept from becoming vagrant, in proportion as its form and occasion are remembered. The automatic performer, being henceforth controlled more or less by reflection and criticism, becomes something of an artist: he trains himself to be consecutive, impressive, agreeable; he begins to compare his improvisation with its subject and function, and thus he develops what is called style and taste. CHAPTER IV MUSIC [Sidenote: Music is a world apart.] Sound readily acquires ideal values. It has power in itself to engross attention and at the same time may be easily diversified, so as to become a symbol for other things. Its direct empire is to be compared with that of stimulants and opiates, yet it presents to the mind, as these do not, a perception that corresponds, part by part, with the external stimulus. To hear is almost to understand. The process we undergo in mathematical or dialectical thinking is called understanding, because a natural sequence is there adequately translated into ideal terms. Logical connections seem to be internally justified, while only the fact that we perceive them here and now, with more or less facility, is attributed to brute causes. Sound approaches this sort of ideality; it presents to sense something like the efficacious structure of the object. It is almost mathematical; but like mathematics it is adequate only by being abstract; and while it discloses point by point one strain in existence, it leaves many other strains, which in fact are interwoven with it, wholly out of account. Music is accordingly, like mathematics, very nearly a world by itself; it c
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