“In relation to the musical (seven-tone) scale it is generally considered (theoretically) that there are two semitones between each two notes, with the exception of the intervals MI-FA and si-do, which have only one semitone and in which one semitone is regarded as being left out. Fragments: Seven

“In this manner twenty notes are obtained, eight of which are fundamental: do, re, mi, fa, sol, la, si, do; and twelve intermediate: two between each of the following two notes: do-re re-mi fa-sol sol-la la-si; and one between each of the following two notes: MI-FA si-do. “But in practice, that is, in music, instead of twelve intermediate semitones only five are taken, that is one semitone between: do-re re-mi fa-sol sol-la la-si. “Between mi and fa and between si and do the semitone is not taken at all. Fragments: Seven

“In this way the structure of the musical seven-tone scale gives a scheme of the cosmic law of ‘intervals,’ or absent semitones. In this respect when octaves are spoken of in a ‘cosmic’ or a ‘mechanical’ sense, only those intervals between MI-FA and si-do are called ‘intervals’ Fragments: Seven

“It must be observed that, although there are six ‘intervals’ in these three octaves, only three of them actually require to be supplemented from outside. The first ‘interval’ between do and si is filled by the will of the Absolute. The second ‘interval’ do-si is filled by the influence of the sun’s mass upon radiations passing through it. And the third ‘interval’ do-si is filled by the action of the earth’s mass upon radiations passing through it. Only the ‘intervals’ between fa and mi have to be filled by ‘additional shocks.’ These ‘additional shocks’ can come either from other octaves which pass across the given point or from parallel octaves which start from higher points. We know nothing about the nature of the ‘shock’ between MI-FA in the first octaoctave Absolute-Sun. But the ‘shock’ in the octave Sun-Earth is organic life on earth, that is, the three notes la, sol, fa of the octave which starts in the sun. The nature of the ‘shock’ between mi and fa in the octave Earth-Moon is unknown to us. Fragments: Nine

“The octave possesses seven tones and the eighth is a repetition of the first. Together with the two ‘additional shocks’ which fill the ‘intervals’ MI-FA and si­do, there are nine elements. Fragments: Fourteen

“Now if we recall the law of octaves we shall see that a balanced process proceeding in a certain way cannot be changed at any moment it is desired. It can be changed and set on a new path only at certain ‘cross-roads.’ In between the ‘crossroads’ nothing can be done. At the same time if a process passes by a ‘crossroad’ and nothing happens, nothing is done, then nothing can be done afterwards and the process will continue and develop according to mechanical laws; and even if people taking part in this process foresee the inevitable destruction of everything, they will be unable to do anything. I repeat that something can be done only at certain moments which I have just called ‘crossroads’ and which in octaves we have called the ‘intervals’ MI-FA and si­do. Fragments: Fifteen

The point 3, or the “interval” MI-FA, was the place where the “shock” came in which gave do 192 of the second octave. When I added the beginning of this octave to the enneagram I saw that the point 6 came at the “interval” mi­fa of the second octave and the “shock” in the form of the third octave do 48 which begins at this point. The completed drawing of the octaves came out as follows: Fragments: Eighteen