Who is sensitive to the beauty of universal creation? Who knows how to perceive the Highest and to resound to the pure manifestations of the Cosmos? We shall say that it is he who carries within him the greatest fires. I affirm that only the vibrations of the finest energies reveal the higher spheres.
MEANING OF THE HARMONIC PRINCIPLES 0/0, 1/1 AND EQUITONAL LINES
In this paragraph Kaiser introduces the figure and the work of A. Von Thimus (1806-1878). He itemises his qualities as a man and a scholar and narrates the story of his works which are largely unknown but have enormous importance for Harmonics.
He rediscovered Pythagoras while he was studying the symbolism of the ancient peoples. The commentary therefore shifts to the value of the symbol and thus the discussion progresses to our topic. The author goes with caution into this field of enquiry and seeks to be sure of the attention of the reader.
The harmonic theorems are not only facts which are encountered in nature, not only logical abstractions deriving from numbers and figures, which the intellect recognizes as right, but above all forms of the mind, whose value we feel lives deep within us.
Let the person who sees in the diagram only a device suitable for the theoretical study of harmonies – which seems to him more or less interesting in its peculiarities – be content with this level. On the other hand, the person who feels the very structure of the diagram living within him will appreciate also the remarks which follow and will understand their psycho-spiritual implications.
Every value springs from two distinct polar psycho-physical impulses impressed by the principal higher and lower harmonic series, which in their turn come from unity, 1/1, a material and psychic measure. This is to be considered as the creative “Fiat” of the Demiurge… All that in the normal sense we understand as reality, as realized, comes from 1/1. But this unity must not be understood only in a logical-material way, as number or frequency of something, but as an a-priori sound, with which it is inseparably connected. Primeval physical-material greatness has no value in itself, and philosophical-religious unity has no material essence, but in harmony both, being and value, coexist in the Origin and are inseparable. The character of this Origin is evolutionary and concerned with development, emanation and multiplication.
Now let us observe the single values which appear in the diagram, as individualities. We learn that they “reincarnate” here and there, that is they renew their oneness but in different environments, in other “places”. However it is not a reincarnation “ad libitum”, but in a regular relationship with the Origin and also with the material basis. The value 3/2 g, for example, cannot reappear in any places, but only in 6/4, 9/6, 12/8, … it keeps its individuality unchanged, but the “circumstances” change and the process continues to ∞, when it returns to Unity, to the Generator. We shall see, with regard to the logarithmic arrangement of “K” [the Diagram], that also those vectors of the values which are the equitonal lines run parallel to the Generator, with which they cross and are mixed at ∞, which means that for an Index ∞ the value ends in the unit 1/1.
Examples of the different environment, in which a value “reincarnates” from time to time (for example, g), a value which is increasingly dissonant and hostile, that is in which no resonance is aroused:
- first incarnation of the value g in the ambit of the senarius:
- in the second incarnation the presence of a dissonance already exists because of the appearance of the 7:
- and in this way in the third …
- in the fourth and fifth incarnation the ekmelic values increase and the environment becomes increasingly more dissonant and hostile.
But when the index grows, something wonderful happens. The environment is getting closer to the character of the place analyzed, and not only with regard to the closest values, but the process affects in a wider and wider way the surrounding regions, as the example shows:
So that one can say that even the environment around the value, eg. 65/52 e, is “colored” or has the “key” e; and this trend is growing with the increase of the Index.
But the analysis of this phenomenon reveals something else of great importance. The close analysis, in fact, shows that the outward similarity, the “kinship” of the environment, is only apparent. The eight values that surround a certain sound, not only are different in origin, but also differ in the hierarchical order within the system. Sound 65/52 e has already experienced many incarnations: it comes from 5/4 e, and has elaborated a number of consonant rapports.
The value 64/52 (next to it) only goes back to 32/26 e and 16/13∅es, and so it is at its third incarnation, and has yet to find (with difficulty) its own resonances in the world of the Diagram “K”. The sound 65/51 is just born, and its mission is still fully wrapped in the future, meeting great difficulties, and feeling like a stranger; and so on. In this is the solution of a number of riddles concerning psychic differences, the more or less great faculty of adaptation, etc…
These considerations lead to better understand the meaning of 0/0. All harmonic values, regarding their “reincarnation”, are in constant, direct relationship, with 0/0, the harmonic symbol of divinity. This is shown clearly by the equitonal lines. This fact is independent of the position and the hierarchical degree covered throughout the system; it does not matter when and where one was born, neither if the environment is more or less favorable and congenial: the individuality of any “spark” issued by 0/0 retains its importance without modification.
To spiritually deepen the considerations and phenomena of Harmony, it is befitting not only to fix them well in mind, but to meditate quietly or intensively. The reader is placed in front of the done works and elaborated diagrams, and reflects on the whys and wherefors, taking care of those internal considerations from which a creative certainty arises. Only then, with all his/her heart and mind, he/she will be able to judge the legitimacy for having considered the highest Principles. The “K” is not only a system of coordinates more or less interesting, full of numbers and geometrical figures, … but a configuration that, emanating from the psycho-physical law of higher harmonics, is “made” in nature, the soul being able to sense its “rightness”.
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