Trigrammaton Qabalah

Base 3 is the foundation for the mathematical mysticism of the New Aeon

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Trigrammaton Qabalah

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The basis of the Trigrammaton Qabalah (TQ) can be found in Liber Trigrammaton sub figura XXVII, Being the Book of the Mutations of the Tao with the Yin and the Yang. This brief document, commonly known as Liber XXVII, was penned by Aleister Crowley in 1907, and was called by him “the foundation of the highest theoretical qabalah.”

The key to unlocking Liber XXVII is the realization that the 27 trigrams of this Holy Book comprise all the numbers from 0 to 26, written in Base 3 notation.

Most of us are familiar with Base 2, or binary, mathematics. Most computers are based on this principle of counting using only 0’s and 1’s. 

In Base 3, there is a third possible digit, so that all numbers are written with 0s, 1s, and 2s. In Liber XXVII, these digits are represented as Tao, Yang, and Yin. By taking these three principles, or digits, three at a time, there are 27 possible “trigrams”, or figures of three lines.

Brief description: Base 3 is the foundation for the mathematical mysticism of the New Aeon

Book of the Mutations of the Tao with the Yin and the Yang

00

Here is Nothing under its three forms. It is not, yet informeth all things.
01

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Now cometh the glory of the Single One, as an imperfection and stain.
02

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But by the Weak One the Mother was it equilibrated.
03 
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Also the purity was divided by Strength, the force of the Demiurge.
06
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And the Cross was formulated in the Universe that as yet was not.
09  ▬▬▬▬▬▬

But now the Imperfection became manifest, presiding over the fading of perfection.
18 ▬▬  ▬▬


Also the Woman arose, and veiled the Upper Heaven with her body of stars.
04
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Now then a giant arose, of terrible strength; and asserted the Spirit in a secret rite.
05
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And the Master of the Temple balancing all things arose; his stature was above the Heaven and below Earth and Hell.
07
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Against him the Brothers of the Left-hand Path, confusing the symbols. They concealed their horror [in this symbol]; for in truth they were

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08
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The master flamed forth as a star and set a guard of Water in every Abyss.

10 ▬▬▬▬▬▬

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Also certain secret ones concealed the Light of Purity in themselves, protecting it from the Persecutions.
11 ▬▬▬▬▬▬

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Likewise also did certain sons and daughters of Hermes and of Aphrodite, more openly
19 ▬▬  ▬▬

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But the Enemy confused them. They pretended to conceal that Light, that they might betray it, and profane it.
20 ▬▬  ▬▬

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Yet certain holy nuns concealed the secret in songs upon the lyre.
12 ▬▬▬▬▬▬
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Now did the Horror of Time pervert all things, hiding the Purity with a loathsome thing, a thing unnameable.
15 ▬▬▬▬▬▬
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Yea, and there arose sensualists upon the firmament, as a foul stain of storm upon the sky. 
21 ▬▬  ▬▬
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And the Black Brothers raised their heads; yea, they unveiled themselves without shame or fear.
24 ▬▬  ▬▬
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Also there rose up a soul of filth and of weakness, and it corrupted all the rule of the Tao.
13 ▬▬▬▬▬▬
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Then only was Heaven established to bear sway; for only in the lowest corruption is form manifest.
14 ▬▬▬▬▬▬
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Also did Heaven manifest in violent light,
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And in soft light.
22 ▬▬  ▬▬
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Then were the waters gathered together from the heaven,
17 ▬▬▬▬▬▬
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And a crust of earth concealed the core of flame.
23 ▬▬  ▬▬
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Around the globe gathered the wide air,
25 ▬▬  ▬▬
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And men began to light fires upon the earth.
26 ▬▬  ▬▬
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Therefore was the end of it sorrow; yet in that sorrow a sixfold star of glory whereby they might see to return unto the stainless Abode; yea, unto the Stainless Abode.

 

    • Neither
      Neither published a article The sign of the Anti-Cross.
      A simple rite
      • Neither
        Neither published a article Notes about the Triagrams
        Important excerpts from R.L Gillis' 'The Book of Mutations'
        • Neither
          Neither added a new discussion topic The Four Groups
          Quoted from R. L. Gillis' The Book of Mutations: The 27 trigrams of Liber XXVII appear in four distinct sets; the triple Tao, the double Tao, the single Tao, and the eight trigrams with no Tao line at all. These groups exactly parallel the "Four...
          • Neither
            Neither bookmarked Three-valued logic
            Some tidbits for getting more familiar with the ternary (trivalent) logic.
            • Neither
              Neither uploaded the file Cube of Space (printable 3d map)
              The Cube of Space is an incredibly logical and mathematically ingenious system for mapping the universe. It is very easy to memorize and visualize because of the marvelous base 3. The only drawback is that the Cube of Space is difficult to...
                • Minister of Propaganda
                  Minister of Propaganda

                  I've starting to use the Cube of Space as a memory palace. With impressive results. Traditional qabalah can also be presented as a cube (sefer yetzirah). The 2D map presented by Golden Dawn and other western occult organizations lacks the spatial dimensions.

                  Scientists are re-discovering how fundamental spatial memory is:  https://www.sciencedaily.com/releases/2018/11/181108142443.htm

                  When we navigate our environment, two important cell types are active in our brain. Place cells in the hippocampus and grid cells in the neighboring entorhinal cortex form a circuit that allows orientation and navigation. The team of scientists suggests that our inner navigation system does much more. They propose that this system is also key to 'thinking', explaining why our knowledge seems to be organized in a spatial fashion.

                  "We believe that the brain stores information about our surroundings in so-called cognitive spaces. This concerns not only geographical data, but also relationships between objects and experience," explains Christian Doeller, senior author of the paper and the new director at the MPI CBS.

                  The term 'cognitive spaces' refers to mental maps in which we arrange our experience. Everything that we encounter has physical properties, whether a person or an object, and can therefore be arranged along different dimensions. "If I think about cars, I can order them based on their engine power and weight for example. We would have racing cars with strong engines and low weights as well as caravans with weak engines and high weight, as well as all combinations in between," says Doeller. "We can think about our family and friends in a similar way; for example, on the basis of their height, humor, or income, coding them as tall or short, humorous or humorless, or more or less wealthy." Depending on the dimensions of interest individuals might be stored mentally closer together or further away.

                  • Minister of Propaganda
                    Minister of Propaganda

                    Magick Without Tears LETTER IV: 

                    Every word you come across, add it up, stick it down against that number in a book kept for the purpose.  That may seem tedious and silly; why should you do all over again the work that I have already done for you?  Reason: simple.  Doing it will teach you Qabalah as nothing else could.  Besides, you won't be all cluttered up with words that mean nothing to you; and if it should happen that you want a word to explain some particular number, you can look it up in my Sepher Sephiroth.

                    For a start, of course, you should put down the words that are bound to come in your way in any case: numbers like 11, 13, 31, 37, and their multiples; the names of God and the principal angels; the planetary and geomantic names; and your own private and particular name with its branches.  After that, let your work on the Astral Plane guide you.  When investigating the name and other words communicated to you by such beings as you meet there, or invoke, many more will come up in their proper connections.  Very soon you will have quite a nice little Sepher Sephiroth of your very own.  Remember to aim, above all things, at coherence.

                    It is excellent practice, but the way, to do some mental arithmetic on your walks; acquire the habit of adding up any names that you have come across in your morning's reading.  Nietzsche has well observed that the best thoughts come by walking; and it has happened to me, more than once or twice, that really important correspondences have come, as by a flashlight, when I was padding the old hoof.

                    Magick Without Tears LETTER XI

                    I think you already understand the main point: you must structuralise your thinking.  You must learn how to differentiate and how to integrate your thoughts.  Nothing exists in isolation; it is always conditioned by its relations with other things; indeed, in one sense, a thing is no more than the sum of these relations.  (For the only "reality," in the long run, is, as we have seen, a Point of View.)

                    Now, this task of organizing the mind, of erecting a coherent and intelligible structure, is enormously facilitated by the Qabalah.

                    When, in one of those curious fits of indisposition of which you periodically complain, and of which the cause appears to you so obscure, you see pink leopards on the staircase, mmmmm "Ah! the colour of the King Scale of Tiphareth — Oh! the form of Leo, probably in the Queen Scale" and thereby increase your vocabulary by these two items.  Then, perhaps, someone suggests that indiscretion in the worship of Dionysus is respon- sible for the observed phenomena — well, there's Tiphareth again at once; the Priest, moreover, wears a leopard-skin, and the spots suggest the Sun.  Also, Sol is Lord of Leo: so there you are! pink leopards are exactly what you have a right to expect!

                    Until you have practiced this method, all day and every day, for quite a long while, you cannot tell how amazingly your mnemonic power increases by virtue thereof.  But be careful always to range the new ideas as they come along in their right order of importance.

                    It is not unlike the system of keys used in big establishments, such as hotels.  First, a set of keys, each of which opens one door, and one door only.  Then, a set which opens all the doors on one floor only. And so on, until the one responsible person who has one unique key which opens every lock in the building.

                    There is another point about this while System of the Qabalah.  It does more than merely increase the mnemonic faculty by 10,000% or so; the habit of throwing your thoughts about, manipulating them, giving them a wash and brush-up, packing them away into their proper places in you "Crystal Cabinet," gives you immensely increased power over them.

                    In particular, it helps you to rid them of the emotional dirt which normally clogs them;*[I hope there is no need to repeat that whether any given thought is pleasant, or undersirable, or otherwise soiled by Vedana, is totally irrelevant.] you become perfectly indifferent to any implication but their value in respect of the whole system; and this is of incalculable help in the acquisition of new ides.  It is the difference between a man trying to pick a smut out of his wife's eye with clumsy, greasy fingers coarsened by digging drains, and an oculist furnished with a speculum and all the instruments exactly suited to the task.

                    Yet another point.  Besides getting rid of the emotions and sensations which cloud the thought, the fact that you are constantly asking your- self "Now, in which drawer of which cabinet does this thought go?" automatically induces you to regard the system as the important factor in the operation, if only because it is common to every one of them.

                    So not only have you freed Sanna (perception) from the taint of Vedana (sensation) but raised it (or demolished it, if your prefer to look at it in that light!) to be merely a member of the Sankhâra (tendency) class, thus boosting you vigorously to the fourth stage, the last before the last! of the practice of Mahasatipathana.

                    Just one more word about the element of Vedana.  The Intellect is a purely mechanical contrivance, as accurate and as careless of what it turns out as a Cash Register.  It receives impressions, calculates, states the result: that is A double L, ALL!

                    Try never to qualify a thought in any way, to see it as it is in itself in relation to those other elements which are necessary to make it what it is.

                    Above all, do not "mix the planes."  A dagger may be sharp or blunt, straight or crooked; it is not "wicked-looking," or even "trusty," except in so far as the quality of its steel makes it so. A cliff is not "frowning" or "menacing."  A snow-covered glacier is not "treacherous:" to say so means only that Alpine Clubmen and other persons ignorant of mountain craft are unable to detect the position of covered crevasses.

                    All such points you must decide for yourself; the important thing is that you should challenge any such ideas.

                    Above all, do not avoid, or slur, unwelcome trains of thought or distressing problems.  Don't say "he passed on" when you mean "he died," and don't call a spade a bloody shovel!

                  • Neither
                    Neither created a page Trigram 26
                    ▬  ▬ ▬  ▬ ▬  ▬ Therefore was the end of it sorrow; yet in that sorrow a sixfold star of glory whereby they might see to return unto the stainless Abode; yea, unto the Stainless Abode. The darkest of all trigrams is the...
                    • Neither
                      Neither created a page Trigram 25
                      ▬  ▬ ▬  ▬ ▬▬▬ And men began to light fires upon the earth. The Trigram 25 symbolizes the planet Mars. It's letter is U. The tarot card is The Tower.   Commentary from R. L. Gillis' The Book of...
                      • Neither
                        Neither created a page Trigram 23
                        ▬  ▬ ▬▬▬ ▬  ▬ Around the globe gathered the wide air, Here the atmosphere melts into the earth. The trigram 23 symbolizes the planet Earth. It's letter is D. The tarot card is Wheel of Fortune.   Commentary from...
                        • Neither
                          Neither created a page Trigram 17
                          ▬▬▬ ▬  ▬ ▬  ▬ And a crust of earth concealed the core of flame. The Trigram 17 pictures the goddess Nuit, who bends over covering the bright night sky.  Her star is the pentagram of Venus. The Trigram 17 symbolizes...
                          • Neither
                            Neither created a page Trigram 22
                            ▬  ▬ ▬▬▬ ▬▬▬ Then were the waters gathered together from the heaven, The Trigram 22 symbolizes the planet Juppiter. It's letter is V. The tarot card is The Universe.   Commentary from R. L. Gillis' The Book of...