Page:The World as Will and Idea - Schopenhauer, tr. Haldane and Kemp - Volume 3.djvu/255

Rh the relative rapidity of their vibrations. The rhythmical element is the essential; for it can produce a kind of melody of itself alone, and without the other, as, for example, on the drum; yet complete melody requires both elements. It consists in an alternating disunion and reconciliation of them, as I shall show immediately; but first, since I have already spoken of the harmonious element in what has been said, I wish to consider the rhythmical element somewhat more closely.

Rhythm is in time what symmetry is in space, division into equal parts corresponding to each other. First, into larger parts, which again fall into smaller parts, subordinate to the former. In the series of the arts given by me architecture and music are the two extreme ends. Moreover, according to their inner nature, their power, the extent of their spheres, and their significance, they are the most heterogeneous, indeed true antipodes. This opposition extends even to the form of their appearance, for architecture is in space alone, without any connection with time; and music is in time alone, without any connection with space. Now hence springs their one point of analogy, that as in architecture that which orders and holds together is symmetry, in music it is rhythm, and thus here also it holds true that extremes meet. As the ultimate constituent parts of a building are the exactly similar stones, so the ultimate constituent parts of a musical composition are the exactly similar beats; yet by being weak or strong, or in general by the measure, which denotes the species of time, these are divided into equal parts, which may be compared to the dimensions of the stone. The musical period consists of several bars, and it has also two equal parts, one rising, aspiring, generally going to the