“In this way the ray of creation helps us to determine and to realize our place in the world. But, as you see, we have not yet come to questions about influences. In order to understand the difference between the influences of various worlds we must better understand the law of three and then, further, still another fundamental law — the Law of Seven, or the law of octaves.” Fragments: Four

“The next fundamental law of the universe is the LAW OF SEVEN or the law of octaves. Fragments: Seven

“How a school is created on the principles of the law of octaves will be explained in due course. And this in its turn will explain to you one aspect of the union of the LAW OF SEVEN with the law of three. In the meantime it can be said only that in school teaching, a man is given examples of both descending (creative) and ascending (or evolutionary) cosmic octaves. Western thought, knowing neither about octaves nor about the law of three, confuses the ascending and the descending lines and does not understand that the line of evolution is opposed to the line’ of creation, that is to say, it goes against it as though against the stream. Fragments: Seven

“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 symbol which takes the form of a circle divided into nine parts with lines connecting them together expresses the LAW OF SEVEN in its union with the law of three. 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