My First Construction (in Metal), which
embodies the principles of rhythmic structure to which ten years later I
still adhere, I propose now to describe.
It contains 16 parts, each one of which contains 16 measures. Each 16 measures is divided into five phrases: 4 measures, 3 measures, 2 measures, 3 measures, and 4 measures. Likewise, the 16 parts as a whole are divided into 5 large sections in the same proportion: 4, 3, 2, 3, 4. The distinction between this system and that of Indian Tala systems is that the latter deal with pulsation, and that not within a closed structure, whereas the idea now being described, independently conceived, concerns phraseology of a composition having a definite beginning and end. I call this principle micro-macrocosmic because the small parts are related to each other in the same way as are the large parts. The fact of the identity of the number of measures and the number of parts, or, in other words, the existence of the square-root of the whole, is an essential sine-qua-non, providing one wants to reflect the large in the small, and the small in the large. I can understand that other rhythmic structures are possible. When I first conceived of this one, I thought of it as elementary because of its perfect symmetry. However, its possibilities appear to be inexhaustible, and therefore I have never departed from it since finding it. The particular proportion of the parts is, naturally, a special aspect of each work. In the one I am describing now the special situation is that of 4, 3, 2, 3, 4. It may be noticed that the first number is equal to the number of numbers which follow it: 3, 2, 2, 4. This made a special situation in which an exposition of 4 ideas could be followed by their development in the four subsequent sections (in other words a sonata form without the recapitulation). . . .
John Cage
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