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m1thr0s
08-08-2006, 06:17 AM
To the best of my knowledge, the word *Trigrammaton* was coined by Aleister Crowley. It is my occasional misfortune to have to drag Crowley's work into things since he did a reasonably good job of pointing in a lot of very pivotal directions, yet in many cases did an absolutely abysmal job of presenting things correctly. This used to drive me to the point of homicidal rage, but somehow, over the years, I have come to appreciate that Aleister Crowley wasn't really a technician so much as he was a poet and a visionary and...well...a prolific meddler in things he very often knew almost nothing about. This may all be forgiveable so long as we do not expect him to be the final authority on anything at all, but rather someone invested with a powerful vision of where the future of magick and mysticism would be found. One learns, over time, to pay more attention to what he is looking at (and why) than his presentation specifics.

Trigrammaton, unfortunately, is one of those things. To begin this discussion properly, we need to take a look at Crowley's version: (http://www.rahoorkhuit.net/library/libers/lib_0027.html) It happens that there are a couple of typo's in this copy that actually made it to the printed version as well which makes matters even more confusing, but since I will be addressing things in general terms anyway, it doesn't really matter much. What we have here is a poetic rendition of something never intended as a poem, that feigns a logic it does not in fact possess and asserts a standard that is laughable at best, but potentially dangerous in that you can easily miss its greater significance by relying upon so poorly rendered a presentation of its principles. I have no doubt this may anger a few Thelemites but it will simply have to be accepted that I am first and foremost a Hermetic Alchemist (with a fairly high logic standards) and my commitment is to the Body of Light itself and to the establishing of a proper foundation for Mutational Alchemy, not to Aleister Crowley, his work, or whatever gods (or goals) he might happen to be partial to.

Before proceeding to dissect what is wrong with Crowley's conclusions, there are a couple of points of order that need to be clarified. The word *Trigrammaton* is a very *catchy* word (and one I think I shall probably keep), but other than the word itself, Aleister Crowley can hardly be credited with having devised a logic that was clearly developed in much greater depth than his own at least 2000 years before his birth (and probably much earlier than this). The 27 Ternary Trigrams are an integral part of the Tai Hsuan Ching, formally compiled by Yang Hsiung in about 2BCE, but we know that the ternary structures themselves were in use prior to this time and since they link to the mathematics of the Lo Shu Diagram itself, it's anyone's guess at this point just how old this system really is. A few scholars believe it may be at least as old as the I Ching and that the two systems co-evolved together, stretching back to the time of Nu Kua, or predynastic China.

Nowhere in Crowley's work is there even the slightest indication that he was ever consciously aware of this historical work. There were no english translations available to him in his own time, and even though a copy did exist in the British Museum of History (or so I am told), no translations of this work had yet been attempted and even today it is next to impossible to obtain an english copy of this work. Despite being recognized as one the principal canons of Chinese philosophy, only two contemporary scholars have made their work available to the general public: Derek Walters and Ms. Michael Nylan, neither of whom would have ever had any dealings with Aleister Crowley since he was long dead before they were even in grade school. The Tai Hsuan Ching is literally packed with all kinds of things that would have been of great interest to Crowley, yet he never makes any mention of it and all reasonable indications are that he was unaware of its existence entirely. To his credit, he managed to deduce its outline (apparently from thin air) and correctly positioned its relative importance in the scheme of things, having stated in several places that Trigrammaton ranked as the highest form of High Magick itself. Exactly why he asserts this is anyone's guess, since he does not appear to have had a very solid grasp of its properties. He understood its gematria to some extent but beyond this his technical knowledge is piecemeal and sketchy.

Crowley's errors fall into three principal categories:
(1). The nature of the lines themselves
(2). The ordering of the trigrammal structures
(3). The assigning of English letters (in the attempt to establish an *English Qabbalah*)
...the sum of which can only amount to a collosal *miss*, yet Liber Trigrammaton has been a hugely popular treatise owing primarily to the underscoring correctness of its heuristic combined with the fact that it does indeed have an important role to play in the formula of Abrahadabra, something we will be exploring in greater depth in route.

(1). On the nature of the lines:
It is a little difficult to tell from the online version linked above, but Crowley begins from the notion of Yin and Yang, conjoined with a third "force" which he has determined to be the Tao itself, represented by the Tao/Teh point. In this way we have a negative, a plus, and a neutral values, which is fine, so far as it goes. Unfortunately, the use of the Tao/Teh point in this capacity is completely inappopriate. Even the most cursory study of Taoism should be sufficient to inform us that the Tao is not a "thing" and cannot be used to express "thingness" on any level. A more careful study of the nature of line values will inform us that what stands between Heaven (yang) and Earth (yin) is not the Tao, but Man. Whatever symbol we elect to use to represent this "third force" must necessarily be synonymous with Man. This is precisely what we find occuring in the original "trigrammaton" as fashioned by the sages untold centuries ago. They also begin with The Yin and the Yang, called Ti and T'ien in the Ternary system. The "third force" is called "Jen", which is taken to have a three-fold value of Man, Intelligence, and Spirit. This is the proper way to express line values of the third kind, without exception. Crowley's failure to attend to this protocol is hardly a cosmetic issue, but displays a degree of ignorance of core taoist alchemical principles inexcusable in one professing to have mastered them. There are certainly parallels which can be drawn between the Tao and Man "forces", but at the end of the day, they are simply not the same "thing" and with line values we definitely require a "thing" valuation since lines give us particulate vibrational constances in the clockwork mechanism of mind and matter itself.

(2). On the ordering of the 27 ternary trigrams:
It is a well observed fact that the more popular "King Wen" version of the I Ching does not appear to be chronologically tight from beginning to end but follows a mysterious pattern of its own devising, one that is frequently the source of academic curiosity since there always seems to be an underscoring chronology at play of some kind or another, yet to this day no one has been able to successfully identify one to the general satisfaction of all. If it's there at all, it must necessarily be encrypted in some way and various scholars such as Lama Govinda and Terence McKenna and others have put forward differing theories as to what this might be. An even older version, called the Fu Hsi (or Inner World) arrangement is chronological however, as is the Tai Hsuan Ching arrangement of the 9 principal Bigrams, 27 Trigrams, 81 Tetragrams and 729 Ternary Hexagrams. Thus the original *trigrammaton* does, in fact, align chronologically from beginning to end, whereas Crowley's version clearly does not. How do we know this?

Gottfried Wilhelm Leibniz (http://en.wikipedia.org/wiki/Leibniz) was a brilliant 17th Century philosopher and mathematician. He is credited for having invented binary mathematics in the west, though in fact it was invented 5000 years earlier by Chinese mathematicians. The notation he devised is nevertheless useful as a means of validating this. As with many remarkable discoveries, it's really very simple once you have spotted it to begin with. Leibniz began by assigning yins the value of 0 and yangs the value of 1. Since the Binary system of Hexagrams builds from bottom to top, we simply numerate line values accordingly and then lean them over horizontally so that their total reads out clearly. A hexagram consisting of six yins will thus have a binary value of 000000=0 whereas a hexagram consisting of six yangs will have a binary value of 111111=63, representing the first and last structures in the 64 Binary Hexagrams. All other combinations will line up somewhere between these two poles. When applied to the Fu Hsi Hexagrams we get an unbroken chronology from beginning to end as can be demonstrated in their binary sums. There is a handy flash tool available called the I Ching Sequencer (http://taolodge.com/flash/sequencer.html) which demonstrates this.

In truth, we could assign values the other way around and still get the same results save that our poles would be reversed, which is essentially what happens in the ternary system. Here T'ien gets the value of 0, Jen the value of 1 and Ti the value of 2 and we run our counts from top-to-bottom instead of bottom-to-top. Other methods of counting are possible as well and it only really matters that we are consistent with whatever system we employ in order to get the benefit of a numerical validation system. The chart I am including below will serve to illustrate the correct chronological order of the 27 ternary trigrams, or *trigrammaton* as it can rightly be called. It should be mentioned in passing that there is some debate still lingering regarding the correct notation of the *Jen*, primarily introduced by Ms. Michael Nylan as near as I can tell. She maintains that the twice-broken line at the bottom end of the series should be the Jen in fact, though in all other respects this runs hard against the grain of Trigrammal Doctrine as it has been expressed from the earliest times, which always stipulates that the Man Line seats between the poles of Heaven and Earth. Such is the nature of academia and there are many factors that might account for whatever incidental documentation she may have uncovered, not the least of which being deliberate tampering in an attempt to appease the more powerful proponents of the Binary system who would not have been pleased to see the Yin notation being suddenly usurped by the Jen principle. This, however, is a matter for future discussion.

Whatever his reasons may have been, Crowley abandons the proper chronological order of the 27 Trigrams and in so doing has missed a huge opportunity to synchronize logically with the Qaballah of Nine Chambers, a point I will come to in a moment.

(3). On the nature of English Letters (ie, "English Qabbalah"):
The assigning of 26 English letters to the 27 ternary trigrams was apparently an afterthought on Crowley's part and was not included in his original Class A publication of Liber Trigrammaton. His reasoning for including these assignments was presumably to resolve the matter of an English Qabbalah. Unfortunately, a random assigning of 26 letters upon an also random arrangement of trigrams hardly resolves anything logically and we are rather left with a presumptuous sort of "father knows best" argument in the final analysis...something I am not only not persuaded by, but find starkly embarrassing coming from someone who clearly should have known better to begin with. It is difficult to defend the man's work at all when he is predisposed to imbecilic stunts of this nature...yet...having said that, it is my belief that he was actually onto something but as was so often the case with him, found the worst possible way to express it.

Before I attempt to explain this I have to take a moment to point out that I am not an expert qabbalist. There are people right here on this forum who can probably run me right into the ground with their own levels of expertise and this doesn't bother or intimidate me. I know what my strengths are and I am not concerned about having a few areas left that still need reinforcing. With this in mind, I am going to attempt to put forward an observation that I think needs to be expressed.

The problem I have with the term "English Qabbalah" is that it is an oxymoron, owing to the nature of Modern English itself. English, as we know it, is a language already stripped to the bone and borrowed from bits and pieces of nearly every other language on earth...bleached clean...wrung tight...and put to whatever utilitarian tasks we may assign it. Qabbalah is not just about assigning words and numbers. It is about whole harmonic archetypal and elemental constitutions embedded within words and numbers and in order to negotiate these you need a body of language that is already embued with these "traditions" to begin with. That simply isn't how Modern English works. People have been confusing the ideas of Numerology and Qabbalah, yet even at the level of numerology, English has no inherent capacity to this because English letters have no unique relationship to numbers, save through the agency of other languages which do. Yet, despite that, English does have its virtues. It has fairly recently overtaken Latin as the official language of science owing largely to its homogeneous qualities. It is vaguely possible that English could ultimately evolve a kind of Qabbalah built upon these inherent qualities, but to achieve this it would have to reinvent itself at the level of its own letters because what we have in place already is a language system devoid of any particular "soul" so far as that kind of connectivity is concerned.

Trigrammaton might actually be the ticket that makes a meaningful English Qabbalah possible because here we have a dynamic system of "letters" that have all kinds of built in associations going on already and it might be possible to develop an especially "elemental" sort of language from such an amazing lineup of letter values. But in order to achieve this we would have to start from scratch in terms of whatever names and qualities we finally assign these letters. We can't just call this one A and that one B and mark it good to go. That just isn't what Qabbalah is, and even if numerology itself can work this way, it won't have any real meaning to anybody if that's as far as it goes. I am of the opinion that Crowley may have seen something of this potential owing to his own degree of expertise with language, but I think he very much missed his mark in the way he attempted to render it. The end result is a kind of alpha-numeric gibberish slathered on a chronological garble. What he has come up with has no practical merits at all other than being something puzzling to gawk at. An example of a more appropriate English Qabbalah might be to develop a harmonic language system that could be partitioned evenly across the 27 Trigrams in which the properties therein bore some elemental or numerical resemblance to the trigrammal letters assigned. In this way the resulting language system would come to serve some useful purpose not already served better by another toungue.

In the interim, the Qabbalah of Nine Chambers itself already follows a natural chronological numerical order, so if you want to know what traditional letter values best correspond to each of the trigrammal structures, look to the numbers first, and look to all those existing qabbalistic standards that already conform to the numbers...notably Hebrew and Greek and perhaps a handful of other systems I am not as intimately familiar with. The chart below should serve to demonstrate how and why this method will work, though in this instance I am limiting my example to Hebrew.

http://abrahadabra.com/images/trigrammaton01.gif

This chart serves to demonstrate that the 27 Ternary Trigrams follows the so-called Qabbalah of Nine Chambers perfectly, both to the Letter and the Number. It does this because the Qabbalah of Nine Chambers itself is actually an arrangement of 27 Numbers grouped together in Nine "Chambers" following the pattern: 1, 10, 100 / 2, 20, 200 / 3, 30, 300...all the way to 9, 90, 900. As a matter of closure, the Number 1000 is typically expressed as a large Aleph but this is not essential to the chambers themselves and is something we could just as easily accomplish in trigrams. All kinds of things are possible once you begin using the natural chronological attributes of the trigrams and there really is no rational explanation why Crowley would have abandoned this advantage unless he never actually made the connection to begin with.

What this chart does not tell us is that the 27 Ternary Trigrams are necessarily synonymous with the 22 Hebrew Letters, which, in fact, they are not. It also does not tell us that we should trash our minds attempting to fit Trigrammaton onto the 22 paths of the Tree of Life, even though the temptation is fairly obvious. But in attempting this, we run into certain contradictions with the Trigrams that we might not encounter with the letters in themselves, which are first and foremost an arrangement of 22 letters that has simply been extended in this instance to accomodate a preferred numeration system. This is achieved by way of the 5 "Final" letter values that come at the end of the sequence and push the numerical total to 27 instead of 22. So it is worth cautioning that the two systems are not the same thing but rather they share a certain chronological symmetry with respect to the 9 Chambers system itself. The chart I have layed out above contains a number of hidden mysteries emphasizing the appropriateness of this comparison, but this is beyond the scope of this particular chapter. I will say in passing to pay close attention to the top line (sometimes referred to as the *gender line*) of the trigrams in their descending order. Notice that the 1st 9 trigrams follow the Yang (or T'ien), the 2nd 9 the Jen and the 3rd 9 the Yin (or Ti). What happens in the Nine Chambers is that each of these sets is also earmarked by a shift in digits 1-9, 10-90 and 100-900, neatly corresponding to the shift in gender lines. This is an important feature of the Nine Chanbers that I will return to at a later time.

The purpose of this immediate article is essentially to slap a few sacred cows silly and try at length to make it plain that Trigrammaton is hardly a foregone conclusion by any stretch of the imagination. We have a highly technical sort of enginery to sort out here and it simply will not do to rest on any half-baked assertions that either cannot or will not address the practicalities of the matter. Someday I will discover for sure who it was that made the statement "To be mystified is not to be edified". I might consider carving the phrase on Crowley's tomb on some auspicious moonless night, though I suppose that would probably be taking scholarly criticism a bit too far.

m1thr0s

m1thr0s
08-11-2006, 04:18 AM
One of about a million projects I have going on right now is researching 27 Letter alphabets from around the world and I really haven't got too far into it, despite its importance. I have frequently been struck by just how many alphabetical systems seem to come very close to the 27 Trigrammal Alphabet and have wondered just how many might have an exact alignment, when I happened upon this little article regarding the roots of Greek Gematria, referred to here as Isopsephia (http://www.cs.utk.edu/~mclennan/BA/SNHIG.html) .

It's an interesting article from a Trigrammaton perspective and something I did not know about Gematria until just now. I will need to do a lot more backgrounding on it but it's definitely caught my interest. I have been very frustrated by the Modern Greek system which seems to be in a constant state of argument with itself, making it virtually impossible for people to adopt its system very easily...since it appears to be both broken and quarrelsome...

Maybe this clears things up a bit...I'm not sure yet...

edit: Here's another link that lays out the actual alphabet (http://www.nullstring.com/isopsephia/)itself. I don't know why people have to create such ugly charts. This one is right up there with the ugliest of the ugly so I will have to redo it at some point and charge them big bucks to use it...lol...

edit2: Found another little definition on About.com:
Isopsephia (Greek, "equal count") was an early ancestor of the kabbalistic practice of gematria. Like gematria, isopsephia involves comparing the numerical values of words or phrases and drawing relationships between those with the same values.
The origins of isopsephia probably lie with Pythagorean sects, who ascribed mystical properties to number, although some believe the practice originated in Sumeria. The practice was popular among early Christians, especially gnostic sects.

§Note: Pythagoras strikes again...

m1thr0s

m1thr0s
08-12-2006, 01:10 PM
I will probably do another topic on this because it's pretty important but since it has immediately to do with Trigrammaton and The Qabbalah of Nine Chambers I want to quickly outline a method for divining line values that works incredibly well and also gives you hidden numerical properties 1-1000 in the lines themselves. Being able to divine whole line structures is a very key feature of this whole system since it allows us to select which energy fields to work on as a matter of a direct bio-feedback reading if we choose to use that method:

(1). Find yourself a set of 3 matching 10-sided dice from a game store or gift shop or wherever you can find them. These will typically be numbered 0-9 on each die. I use a black set with red numbers myself.

(2). Usually starting from the bottom and building upward: Toss the dice together (following a brief self-composure) and read out or record the numbers from left to right. If you have a difficult time getting the dice to line up properly you can use a standard backgammon cup which usually have a narrow oval shape at rims so that the dice will land in more controlled lines. Otherwise just arrange a system and stick to it. If they fall out mostly horizontally read left-to-right...if mostly vertically read top-to-bottom. Count your numbers...in this instance we will use a random example of 0-3-7 = 0+3+7 = 10.

(3). Next reduce your total so that it always falls between 1-9, in this case 10 = 1 + 0 = 1.

Your Conversion Key works like this:
Numbers 1-3 = T'ien (Yang) | Numbers 4-6 = Jen | Numbers 7-9 = Ti (Yin)

I have checked the odds on all possible combinations and it works out to an even spread between these 3 values so the dice method is balanced in the odds and does not favor any one line value over the other. The only exception is 0-0-0 which must be treated separately and I will address that in a moment.

(4). Having extracted your line value from the numbers, proceed to the next line. You can use this to deduce any combination of lines from 1-6 (or more if you wish to experiment with, say, octograms etc)... If you have recorded your numbers you will also have a set of numbers from 1-999 (omitting 000 = 1000) for each line individually and again a second tally for Trigrams which will also number numerate between 1-999. These can be used to examine hidden numerical dialogues coming through the numbers themselves which can then be converted via any Gematria system you prefer.

(5). And that's it...you're done. If you are working with Tetragrams and you happen to have a copy of the Tai Hsuan Ching, you can look up the resulting structure to get its traditional Chinese properties just like you would with I Ching. This system can be used either for the Ternary or the Binary structures with the difference that on the Binary side you would be counting odds and evens as with the coins method, outlined in most I Ching manuals. The dice system allows you to get the additional value of the Nine Chambers on each line. This is an original system so you won't find it anywhere but here. I have tested this system rigorously for over 30 years and it has the greatest possible integrity and amounts to a very powerful system for divining line values.

(6). 0-0-0 can either be treated as an "overide" of some kind cancelling the line or the entire reading, or it can be ignored, or treated in some other way as ever you like, but it cannot be calculated into you line values since 0 does not have a line value in this system. I use it as a focusing tool personally since the odds are 1-1000 against getting a 0-0-0 reading. If I get one, I simply rethrow the dice and concentrate a little harder. Some may wish to extend this to the entire structures or devise yet another way to utilize the 0-0-0 variable.

What this means for us is that we can self-diagnose which structures will be worked at the level of energy field-work if we elect to do so. It is one of the more dynamic aspects of this whole system which I will be addressing in greater depth later on. For right now I want to make it clear that here is one very good example of how the Qabbalah of Nine Chambers applies to Trigrammaton itself without requiring any outside agency to do so. Whatever system you use to interpret the numbers is entirely up to you, so again it should be possible to garner from this that Trigrammaton has a unique relationship to the Qabbalah of Nine Chambers inherent within itself. This is the only system on earth where you don't even need to know a character's name and additional properties to correctly ascertain its numeric value and essential energy dynamics. That makes it truly unique and the possibilities are staggering.

m1thr0s

Kain
08-14-2006, 12:45 PM
It is a little difficult to tell from the online version linked above, but Crowley begins from the notion of Yin and Yang, conjoined with a third "force" which he has determined to be the Tao itself, represented by the Tao/Teh point. In this way we have a negative, a plus, and a neutral values, which is fine, so far as it goes. Unfortunately, the use of the Tao/Teh point in this capacity is completely inappopriate. Even the most cursory study of Taoism should be sufficient to inform us that the Tao is not a "thing" and cannot be used to express "thingness" on any level. A more careful study of the nature of line values will inform us that what stands between Heaven (yang) and Earth (yin) is not the Tao, but Man. Whatever symbol we elect to use to represent this "third force" must necessarily be synonymous with Man.
[...]
There are certainly parallels which can be drawn between the Tao and Man "forces", but at the end of the day, they are simply not the same "thing" and with line values we definitely require a "thing" valuation since lines give us particulate vibrational constances in the clockwork mechanism of mind and matter itself. Very well spotted, and I certainly agree with you m1thr0s. Having read Liber Trigrammaton before owning or reading a version of the Tai Hsuan Ching (however, being aware of Taoist cosmology), this particular point of the use of Tao as an actual line value was something I also felt was in error, essentially pinpointing the Tao as a tangible "thing", which is of course an incorrect method of application.

There is a handy flash tool available called the I Ching Sequencer (http://taolodge.com/flash/sequencer.html) which demonstrates this.This flash tool was great m1thr0s, thanks for sharing the link...

It should be mentioned in passing that there is some debate still lingering regarding the correct notation of the *Jen*, primarily introduced by Ms. Michael Nylan as near as I can tell. She maintains that the twice-broken line at the bottom end of the series should be the Jen in fact, though in all other respects this runs hard against the grain of Trigrammal Doctrine as it has been expressed from the earliest times, which always stipulates that the Man Line seats between the poles of Heaven and Earth. Good point. I feel the same concerning this fact as well.

By the way, as I've said before I find the divination technique described here a very good and precise one, at least judging from as far as I have worked with it.

Kain

m1thr0s
08-14-2006, 12:59 PM
That's so funny Kain, but I had completely forgotten I had already shown you that method. I hope this preliminary stuff isn't boring you to tears...I need to lay down a fairly solid foundation here...I'll move into the more advanced field theory soon enough...

m1thr0s

Kain
08-14-2006, 06:06 PM
That's so funny Kain, but I had completely forgotten I had already shown you that method. I hope this preliminary stuff isn't boring you to tears...I need to lay down a fairly solid foundation here...I'll move into the more advanced field theory soon enough...

m1thr0sLol...yes, it's been a while since you had shown it to me. No, I completely understand the importance of setting a solid foundation, especially for a work so extensive and original such as this. I even have the opportunity to go over all the preliminary stuff in a lot more detail, as the articles you're currently compiling could very well be the most extensively described version of Mutational Alchemy material so far. To tell you the truth, I am quite enjoying these articles...I am waiting for the more advanced stuff on field theory, however I understand that the subject will be breached when the time is right.

Trigrammaton really is an exceptionally powerful and all-encompassing system, Crowley made no mistake about that...I particularly enjoy your work m1thr0s, because even though I have been working with Trigrammaton field creation myself, your system is incredibly well-built and well-thought of, so often resolving or upgrading aspects of the affair my own view could not decipher. I understand that it is the result of a lot of years of work, and I find all this stuff just great...

Kain

m1thr0s
08-14-2006, 07:20 PM
Thanks Kain. You know, if I thought for an instant that any of this stuff only had applications for me personally I would be one happy clam to keep it to myself just as I have done for so many years. But at length I have come to realize I am not off the hook so easily and people need to at least see what's going on with this stuff and decide for themselves how much of it they might be able to use.

I know that the system is complete within itself...I would be perfectly comfortable teaching thousands of people this whole methodology but it's even more important to ignite a more natural chain reaction I think...that is...it is potentially a whole lot faster to communicate with those who already have some sense of where to go with it and allow that human networking to work its own unpredictable magick...

So here is where it all goes down...lol...

m1thr0s

Anibis
09-07-2006, 02:55 PM
Okay, cats, my hiatus is over. Thanks once again for a stimulating set of articles. I figured I'd share a divination method which I worked out a little while back. Perhaps you'll want to move it, or keep it here, since it is stimulated in response to the method you described.

First, use a single coin, and generate lines by throwing it three times. You can build from the bottom up if your concern is related to uncovering, or from the top down if it is concerned with implementing an energy. There will be other combinations, as you will see. I personally generate the binary hexagrams from the bottom up and the ternary from the top down. This is open to adaptation, though. Here is what happens. You need to record the sequence of yin (o) and yangs (+), so, if you were casting the first line, and it looked like this:

oo+, o+o, or +oo, then the binary line is a yin.

If the sequence looked like this:

++o, o++, or+o+, then the line is a yang.

if the line looks like this:

+++, or ooo, then it is a changing Yang, or Yin respectively. None of this is new to you. What can happen, though if you record the order in which the individual yins and yangs are generated, is that you can, from ANY binary hexagram, generate a Ternary figure. Furthermore, there is no limit as to what Ternary figure may be produced from which binary one. This means you have an added level of depth to the reading. For example, Binary Hexagram 1 could in theory generate ANY of the 729 Ternary figures. This is how it works:

If a Yin line is oo+, the first place is a yin, so the whole figure becomes T'ien. If the Yin line is +oo, the first place is a yang, so the whole line becomes Ti. If the line is o+o, then the ternary line produced is a Jen line. The same is true conversely, if you applied this process to a Yang line in a Binary figure. So, as you can see, any stable line in a binary hexagram can generate either a Tien, Ti or Jen line.

Furthermore, there is a bit of a twist. Changing lines in a binary hexagram, do not produce lines of a ternary nature. What this means is that the more changative the binary hexagram is, the more general the ternary figure will be. If you have a fully stable six line I ching hexagram, you will get a corresponding specific Tai Hsuan Ching hexagram. If however, there are two changing lines, you will get a quadragram of the tai hsuan ching, a more general figure. What I take this to mean, though is that this actually gives us 9 possible THC Hexagrams; ie, the reading indicates a fair degreee of leeway and ambiguity. In an extreme situation, where there are ALL changing lines in the I ching figure, then the ternary potential will be distruibuted over ALL the 729 THC figures. Thus, the higher dynamism, the more capacity for us to influence the reading with our own will.

I think that the benefit of this system is that, it gives us singular access to both the I ching and the THC, without any particular imballances (like only being able to generate certain THC figured from certain IC figures), and also that it gives us a continuum between Stability and Dynamism which reflects the elasticity of a particular divinatory situation, and to what degree one can maneuver within it...

That should do it, I think... Does it make sense to you guys, or does it need further clarification? Any thoughts on it as a method?

-Ibisis-

m1thr0s
09-07-2006, 03:52 PM
Good to hear from you again Ibisis.

I am a little confused by this since your logic appears to be backwards from the norm. Let me demonstrate in numbers. You say:

oo+, o+o, or +oo, then the binary line is a yin...
++o, o++, or+o+, then the line is a yang.If we assign the usual numerical values of yin=2 and yang=3, then 00+ = 2+2+3 = 7, which is the usual numeration of a stable yang, not yin. There are four possible numerical values we can usually get this way:

2+2+2 = 6 = a "running" yin
2+2+3 (any combination) = 7 = a stable yang
2+3+3 (any combination) = 8 = a stable yin
3+3+3 = 9 = a "running" yang

the easy way to remember it is that the line value will always follow the odd-man-out or three-of-a-kind value on the coins.
Is your system running backwards or am I missing something here? I don't want to get too far into it until this is clarified...

m1thr0s

Kain
09-07-2006, 04:08 PM
Okay, cats, my hiatus is over. Thanks once again for a stimulating set of articles. I figured I'd share a divination method which I worked out a little while back. Perhaps you'll want to move it, or keep it here, since it is stimulated in response to the method you described.Very interesting technique Ibisis, thanks for sharing! Personally, I think it is just fine for it to stayhere, although I can always move it if a more fitting place comes up.

What can happen, though if you record the order in which the individual yins and yangs are generated, is that you can, from ANY binary hexagram, generate a Ternary figure. Furthermore, there is no limit as to what Ternary figure may be produced from which binary one. This means you have an added level of depth to the reading. For example, Binary Hexagram 1 could in theory generate ANY of the 729 Ternary figures. This is how it works:

If a Yin line is oo+, the first place is a yin, so the whole figure becomes T'ien. If the Yin line is +oo, the first place is a yang, so the whole line becomes Ti. If the line is o+o, then the ternary line produced is a Jen line. The same is true conversely, if you applied this process to a Yang line in a Binary figure. So, as you can see, any stable line in a binary hexagram can generate either a Tien, Ti or Jen line. So, what you're saying is that you are using the result of the first throw for the line as an indicator for the ternary equivalent of it (T'ien or Ti). Also, if the coin-toss results are symmetrical (+o+ or o+o respectively) you take it as a Jen. If they are purely Yin or Yang (the Greater Yin/Yang result) no ternary equivalent is assigned for the line. Interesting approach...

I think that the benefit of this system is that, it gives us singular access to both the I ching and the THC, without any particular imballances (like only being able to generate certain THC figured from certain IC figures), and also that it gives us a continuum between Stability and Dynamism which reflects the elasticity of a particular divinatory situation, and to what degree one can maneuver within it...Certainly, and that's a very important benefit to be provided. That should do it, I think... Does it make sense to you guys, or does it need further clarification? Any thoughts on it as a method?I like it personally. It provides two possibilities for not providing a ternary equivalent per line value (the two dual extremes), and generally strikes me like a method through which we work with the binary system while also allowing a hint of the result's "hidden" ternary nature to be revealed in our reading.

Kain

Anibis
09-07-2006, 04:27 PM
My system pays no attention to numerical values assigned to the the lines. It is based on a sequence of three single throws per line. A stable Yang is a majority of 'heads', a stable Yin is a majority of 'Tails', and a running Yang is a totality of 'Heads', with the converse being true of a running Yin. This, from what I have understood is standard (although I was under the impression that 7 was stable Yin, and 8 stable yang). The point of the system I describe is that each set of three throws (thrown one at a time, as opposed to all at once) has 8 possible sequences that it fan fall in (2x2x2). Three correspond to a majority of heads, three two a majority of tails, and two, of course to the case of all heads, or all tails. The system's point is to take those cases wherein a stable yin or a stable yang has been produced (and I'll bet this applies whether that total is 7, or 8), and generate a new ternary line depending on whether the throws which generated that line are HHT, HTH, THH, TTH, THT, or HTT. The idea is that the in the first case there is a Yang line which generates a Tien line. In the second, a yang line generates a Jen line, and in the third, a Ti line. In the fourth, a Yin gives birth to a Tien, in the fifth a Jen, and in the sixth, a Ti. Make sense? If the I ching line is changing, then no Ternary line is produced, and as a consequence, you get a more general Tai Hsuan Ching reading. The objection you make rings as counter intuitive to me, but I'll have to check my books, even so I generally choose implicit logic over symbolic convention. Unless theres something I don't see...?
Cheers;
-ibisis-

m1thr0s
09-07-2006, 04:58 PM
I understand the linkage to the ternaries and I like it...I'll have to work with it a bit though.

Check your books...the system I have outlined is correct of the "traditional" system. Whether you use numbers or not it would still work out the same. Here's a quick link if it saves time: Introduction to the I Ching (http://www.eclecticenergies.com/iching/introduction.php)

King Wen was a very careful mathematician. The same logic he uses to exact line values is followed in the grouping of Sons and Daughters if you look closely at what he has done in the Trigrams. The Father is represented by 3 Yang lines and each of the Sons is distinguished by having 1 Yang and 2 Yins. The Mother is represented by 3 Yin lines and each of the Daughters by having 1 Yin and 2 Yang lines. So there is more to his system than meets the eye at first pass.

I'm actually revisiting his system again these days for its subtle qualities. Initially I found myself a little annoyed at certain apparent incongruities but I have become more intrigued with it through the passage of time...

m1thr0s

Anibis
09-07-2006, 05:36 PM
King Wen was a very careful mathematician. The same logic he uses to exact line values is followed in the grouping of Sons and Daughters if you look closely at what he has done in the Trigrams. The Father is represented by 3 Yang lines and each of the Sons is distinguished by having 1 Yang and 2 Yins. The Mother is represented by 3 Yin lines and each of the Daughters by having 1 Yin and 2 Yang lines. So there is more to his system than meets the eye at first pass.

Okay, I follow that, very interesting...

Lets assume then we have 2+2+3=7, making a YANG line, then we'd still be able to differentiate between 2+7+2, 2+2+7, and 7+2+2 which would enable this method to work. I'll have to do some thinking before revising my divination practice in this way, but I see no obstacle here, just an assumption that I suppose I made that more yang than yin would equal yang, but the sons and daughters example provides a fair counter.

-Ibisis-

m1thr0s
09-07-2006, 05:48 PM
right...your essential method works out the same. It might be a little easier to convey to others following the more recognized yin-yang arithmetic is all...plus you can easily find links to fill people in on all of that...

links are a good thing. we need all the help we can get...lol

m1thr0s

Naomi
06-20-2007, 11:51 AM
Great articles.

Raphael
07-16-2008, 10:40 AM
not sure of what trigrammaton or liber trigrammaton meant.
so I googled them.

-liber trigrammaton returned about 1390 hits and trigrammaton by itself about 3000.

Crowley had quite the imagination eh?
But there was a certain darkness that accompanies his work?
It was NOT golden nor the dawn of a new age.
Maybe that is why 'he hit the vall', his arrow was not true...a wee bent.

namaste

Ra

m1thr0s
07-16-2008, 12:28 PM
prophets - traditionally - rarely emerge from the affluence of a culture at its peak from rather from the dead and dying carcass of a culture in decline. This was Crowley's pattern as well. It is remarkable that he would have come up with something as forward-thinking as Trigrammaton on his own initiative, but it is also true that the Chinese sages got there first (some 5000 years before him) and also spent a lot more time developing that system and hammered out the chinks to a much greater extent than he did.

None of this was known to him since the archaeological record had not been publicly disclosed, even though certain pivotal records did in fact exist in the archives of the British Museum of History...dust-covered and untranslated until sometime after his death.

So I don't think it was his arrow so much as his bow that was less than true...

m1thr0s