except the last the periods consist of exactly the same six digits which run in a definite sequence, so that, knowing the first digit of the period, it is possible to reconstruct the whole period in full.
"If we now place on the circumference all the nine numbers from 1 to 9 and
connect those numbers which are included in the period by straight lines in the same
sequence in which the numbers stand in the period, according to which number we
start from, we shall obtain the figure found inside the circle. The numbers 3, 6, and 9
are not included in the period. They form the separate triangle—the free trinity of the
symbol.
"Making use of 'theosophical addition' and taking the sum of the numbers of the
period, we obtain
notes will correspond to the numbers of the period and the drawing of an octave will
look like the following:
"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
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.
"At this point in our reasoning it would be entirely right to raise the question: Why is one of the 'intervals' which is designated by the number 3 found in its right place
between the notes mi and fa, and the other, which is designated by the number 6,
found between sol and la, when its right place is between si and do.
"If the conditions had been observed as to the appearance of the second interval (6) in its own place, we should have had the following circle:
And the nine elements of the closed cycle would have been grouped symmetrically
together in the following way:
"The distribution we do get:
can only give the following grouping:
that is, in one case
"The apparent placing of the interval in its wrong
"In order to understand this, it is essential to recollect what was said about the role of 'shocks' in the processes proceeding in man and in the universe.
"When we examined the application of the law of octaves to the cosmos then the
step 'sun-earth' was represented in this way:
"In relation to the three octaves of radiation it was pointed out that the passage of do to si, the filling of the interval, takes place within the organism of the sun.
It was pointed out in the cosmic octave in relation to the 'interval' do-si that
this passage is accomplished by the will of the Absolute. The passage fa-mi
in the cosmic octave is accomplished mechanically with the help of a
special machine which makes it possible for fa, which enters it, to acquire
by a series of inner processes the characteristics of sol standing above it,
without changing its note, that is, to accumulate, as it were, the inner
energy for passing independently into the next note, into mi.
"Exactly the same relationship is repeated in all completed processes. In
examining the processes of nutrition in the human organism and the
transformation of the substances taken into the organism, we find in these
processes exactly the same 'intervals' and 'shocks.'
"As we pointed out before, man takes in three kinds of food. Each one of them is
the beginning of a new octave. The second octave, that is, the air octave, joins up with
the first, that is, the octave of food and drink, at the point where the first octave comes to a stop in its development at the note mi. And the third octave joins up with the
second at the point where the second octave comes to a stop in its development at the
note mi.
"But it must be understood that, just as in many chemical processes, only definite