“Let us again take the ascending octave, that is, the octave in which the frequency of vibrations increases. Let us suppose that this octave begins with one thousand vibrations a second. Let us designate these thousand vibrations by the NOTE DO. Vibrations are growing, that is, their frequency is increasing. At the point where they reach two thousand vibrations a second there will be a second do, that is, the do of the next octave. “The period between one do and the next, that is, an octave, is divided into seven unequal parts because the frequency of vibrations does not increase uniformly. Fragments: Seven

“If we now examine the first of these three octaves of radiations, that is, the octave Absolute-Sun, from the point of view of the law of three, we shall see that the NOTE DO will be the conductor of the active force, designated by the number 1, while the matter in which this force acts will be ‘carbon’ (C). The ‘active’ force which creates the NOTE DO in the Absolute represents the maximum frequency of vibrations or the greatest density of vibrations. Fragments: Nine

“At the given place in the organism “where mi 192 ought, apparently, to come to a stop there enters the ‘second food’ — air, in the form of do 192, that is, mi, re, do of the second cosmic octave of radiations. The NOTE DO possesses all the necessary semitones, that is, all the energy necessary for the transition to the next note, and it gives as it were a part of its energy to the note mi which has the same density as itself. The energy of do gives mi 192 force enough, while uniting with ‘carbon’ 48 already in the organism, to pass into ‘nitrogen’ 96. ‘Nitrogen’ 96 will be the note fa. Fragments: Nine

“There is, however, a possibility of increasing the output, that is, of enabling the air octave and the impression octave to develop further. For this purpose it is necessary to create a special kind of ‘artificial shock’ at the point where the beginning of the third octave is arrested. This means that the ‘artificial shock’ must be applied to the NOTE DO 48. Fragments: Nine

“But what is meant by an ‘artificial shock’? It is connected with the moment of the reception of an impression. The NOTE DO 48 designates the moment when an impression enters our consciousness. An ‘artificial shock’ at this point means a certain kind of effort made at the moment of receiving an impression. Fragments: Nine

“This same process of the harmonious development of man can be examined from the point of view of the law of octaves. The law of octaves gives another system of symbols. In the sense of the law of octaves every completed process is a transition of the NOTE DO through a series of successive tones to the do of the next octave. The seven fundamental tones of the octave express the law of seven. The addition to it of the do of the next octave, that is to say, the crowning of the process, gives the eighth step. The seven fundamental tones together with the two ‘intervals’ and ‘additional shocks’ give nine steps. By incorporating in it the do of the next octave we have ten steps. The last, the tenth, step is the end of the preceding and the beginning of the next cycle. In this way the law of octaves and the process of development it expresses, include the numbers 1 to 10. At this point we come to what may be termed the symbolism of numbers. The symbolism of numbers cannot be understood without the law of octaves or without a clear conception of how octaves are expressed in the decimal system and vice versa. Fragments: Fourteen

“The triangle 9-3-6, which unites into one whole the three points on the circumference not included in the period, connects together the law of seven and the law of three. The numbers 3-6-9 are not included in the period; two of them, 3 and 6, correspond to the two “intervals’ in the octave, the third is, so to speak, superfluous and at the same time it replaces the fundamental note which does not enter the period. Moreover, any phenomenon which is able to act reciprocally with a phenomenon similar to it sounds as the NOTE DO in a corresponding octave. Therefore do can emerge from its circle and enter into orderly correlation with another circle, that is, play that role in another cycle which, in the cycle under consideration, is played by the ‘shocks* filling the ‘intervals’ in the octave. Therefore, here also, by having this possibility do is connected by the triangle 3-6-9 with those places in the octave where the shocks from outside sources occur, where the octave can be penetrated to make connection with what exists outside it. The law of three stands out, so to speak, from the law of seven, the triangle penetrates through the period and these two figures in combination give the inner structure of the octave and its notes. Fragments: Fourteen