INTERVALS
19. We shall have occasion to speak not only of Distances, but of Intervals. They may be defined as intermediate spaces. The spaces between the points “A” and “B,” “A” and “C,” “B” and “C,” in [Fig. 6], are Intervals.
SCALE IN RELATIONS
OF POSITIONS
20. Given any relation of positions, the scale may be changed by changing the intervals, provided we make no change of directions. That is well understood.
Before proceeding to the considerations which follow, I must ask the reader to refer to the definitions of Harmony, Balance, and Rhythm which I have given in the Introduction.