A Musing on Occult Blogging and the Distinction of Passions

That recent post I made was definitely a wild one, I admit.  It’s extremely rare that I use this blog as a platform for an outright call-out or attack on anyone or anything, and it’s not something I enjoy doing or want to make a habit of.  After all, what I enjoy most about blogging is blogging about the things I actively enjoy reading, writing, studying, and practicing, and me getting involved with drama or current events just distracts me from writing about that and my readers from reading about that.  When I make a post like that, it’s because I feel it’s part of my moral and ethical responsibility to do so.  Last time I did something like this, it was to call out the old admin of the now defunct Hermetic Agora Discord server, and after that, I mulled in a follow-up post about the social and esoteric implications of the underlying issues that led to such a call-out post to begin with.  Like then, I want to unpack and muse over this more recent call-out, too.

To be sure, November 7 2022 (when I made my call-out post about Gordon White and Rune Soup being a toxic and violent influence in the online occult community and having been so for years now) is now officially the most well-viewed day for my blog in its history, beating out the previous record set ten years prior to the day (November 7 2012) when this blog (quiet and meek as it was) was hit by an abnormally large botnet raid or scan or somesuch that sent my views skyrocketing into the many thousands.  While I’m glad that my call-out post earlier in the week was so well- and widely-received to get the word out (I’ve had dozens of friends and colleagues reach out privately to me thanking me for such a post, in addition to the many more who did so publicly at the risk of their being raided online), the absurd hit count I got earlier in the week (and which I’m continuing to get day by day to a lesser degree) is a stark reminder of something I’ve neglected about interacting with things online: “rage sells”.  Those two words are at the crux of so many problems involving all sorts of media that we have today, both online and offline, both social and static.  It’s why extreme polarization in large swaths of the population happens because of mere mainstream news banking on increased viewership from rage-inducing stories; it’s why we get far-right/alt-right terrorists merely by watching YouTube autoplay a series of videos that lead from Enya and Minecraft to Jordan Petersen and worse; it’s why social media platforms like Facebook or Twitter have warped to the breaking point the very conceptions of “relationship” and “community” for so many people that lead such companies to build algorithms to enflame people’s emotions.

“Rage sells”, and I admit, my last post was, in many senses of the word, rage (although I consider it a righteous rage against someone behaving harmfully and who is a detriment to the online occult community).  Did I want to get a good hit count on that post?  Absolutely; it’s part of me getting the word out.  Did I expect that much of an increase across my blog generally, whether that rapidly or that sustained?  Did I expect that much of an increase in my follower/viewer numbers, even after taking into account all the people that split from me (or from Twitter generally)?  No, actually!  And that simple fact serves as a reminder as to why some people act the way they do online.  Without wanting to harp on him too much (that was very much the point of the last post after all), Gordon White does just this very thing: lashing out and attacking anyone and everyone repeatedly and often who doesn’t fall in line with his conspiracy-addled rage.  Despite his encouragements to his readers that they should live their lives free from rage (which he calls “hate”—a difference I’ll get to later) in their hearts, he is still relying on preserving and cultivating such rage (both on his blog and his Twitter, projecting and deflecting the time to shift the narrative to suit his needs) in order to keep people engaged with him.  Of course, he’s far from the only one who does this, so it’s not fair (even to him) to paint him as some extreme outlier on this front.  Enflamed emotions encourage engagement; that’s basically a truth for social media nowadays, where you can find endless articles about how emotional engagement is the key to viral content marketing, study after study about what emotions trigger increased engagement and how strongly each kind of emotion influences engagement, and so on and so forth.

I mean…for a more humorous take:

I’m not about that kind of life, that kind of media propagation or content generation, and I don’t want to be.

As I said in the last post, and as I said above, I’m just here doing my thing, and my thing is writing about the occult, spirituality, religion, mysticism, magic, divination, and other kinds of esoterica, and even from its earliest days (although far more pronounced now) was centered on Hermeticism.  This blog has always been about that, and will always be about that.  And yes, to be sure, I do make a few ebook PDFs for sale as a sort of “intensely-produced content” for those who want to go beyond the abundance of stuff I write publicly, and while I’m still on hiatus, I do hope one day to get back to doing readings and consultations for people—but, all that said, I’m not really here to market myself.  I don’t go out of my way beyond a notification post when I come up with something new (which isn’t common) to sell a product, and I’m definitely not trying to corner a market or develop some sort of base of paying viewers to give me money on a constant basis.  That’s never been my goal, and never will be my goal.  My goal for this blog is to just do magic and mysticism and to share what I find in the course of studying, researching, and practicing that.  Being on social media in general is just a way to further that and emphatically not the purpose of me doing that—and that’s a distinction that a lot more people should bear in mind when they get into developing their own stuff.  It should always be remembered, after all, that “substance” is not the same thing as “content”.

As a lot of people clued into online events are aware, Twitter is going through something of A Time right now, what with Elon Musk’s recent takeover of the platform and quickly showing the world how hilariously bad he is at…well, everything that isn’t just spending money.  As a result, that’s leading a lot of people to consider different social media platforms, whether it’s returning to Tumblr, resuming interest in Mastodon or Counter.Social, or jumping to new platforms like Cohost (though, hilariously, I can’t find anyone actually mentioning anything about staying on or going back to Facebook).  I mused about social media a bit on Twitter a few days back, and realized that all that social media platforms do for us is the equivalent of each of us making our own website and us bookmarking each others’ websites, putting all those bookmarks in a folder in our browser.  Sure, social media platforms standardize, aggregate, and make convenient this whole process, but that’s basically what it is at heart.  When I made this observation on Twitter, someone commented their view that they don’t fully trust people involved in their circles who “don’t have a basic bloc, a place to put things outside of the algorithm”.  That’s a viewpoint that I wholeheartedly agree with, to be sure, and it raises a really neat distinction between someone who uses social media as a means for something that isn’t a part of it or built within it, and someone who uses social media as an end unto itself.

I admit that I enjoy seeing numbers go up (who doesn’t? it’s like points in a video game), and I do think it’s really neat that I have several thousand followers online across multiple social media platforms (including, if we go with a Web 2.0-based notion here of what qualifies as “social media”, this blog itself on WordPress).  Still, though, my main purpose for being on social media is an emphasis on being social (to communicate and relate to others online), rather than it being merely media (to share or propagate content); it’s a neat thing that I get to share my writing and project on Twitter or Facebook, but I’m not on social media in order to spread my blog.  That I have so many viewers is neat, but let’s be honest: I would still be writing about the things I do whether I had 10 followers or 10000.  I don’t write to get engagements, I don’t blog to get views, I don’t post to be famous; I write, blog, and post because I have things I just want to write, blog, and post about.  I write for the sake of writing, not just to keep myself in check with my own studies (and to give myself a reference and a record to look back on over the years), but also to help share things I find useful so that others might derive some benefit from my writing.

Still, exploiting emotion is a great way for people on social media to get numbers to go up in general, but that’s not what I want to do; if it happens, I want there to be a good reason for it besides benefitting my blog.  I mean, who am I to enflame people’s emotions in general?  While I claim that there’s a distinction between “righteous anger” and “non-righteous anger” in how it arises, can be expressed, and affects us as human beings, I still remember what CH XIII.7 talks about as irrational tormentors of matter:

This ignorance, my child, is the first torment; the second is grief; the third is incontinence; the fourth, lust; the fifth, injustice; the sixth, greed; the seventh, deceit; the eighth, envy; the ninth, treachery; the tenth, anger; the eleventh, recklessness; the twelfth, malice. These are twelve in number, but under them are many more besides, my child, and they use the prison of the body to torture the inward person with the sufferings of sense.

It’s that tenth one, “anger”, that I want to draw attention to.  The Greek word used here originally is ὀργή, which Salaman, Copenhaver, Mead, and Scott all translate as “anger”, which is an eminently reasonable translation for it.  However, looking up the full meaning and use of this word more generally, we can see that it eventually came to include notions of anger or wrath stemming from a meaning of “natural impulse, propensity, temperament, disposition, mood”.  To me, my understanding here isn’t of ὀργή to refer to what I’d consider “righteous anger”, which is a rational aversion to and desire to fix something that is morally and ethically wrong.  Rather, I’d see it as representing the anger that arises from thumos, the “emotional drive” (often discussed alongside epithumia “appetitive desire”) which is a baser, nonrational passion arising from body-centered ego (tellingly, the Perseus-Tufts online dictionary above notes that we don’t find ὀργή/ὀργάς in Homeric texts, who uses θύμος instead).

Consider a Stoic parallel: for most negative passions (πάθῃ pathē), there are also corresponding good feelings (εὐπάθεια eupatheia).  For the Stoic, there are four high-level categories of passions, a combination of whether they are valued as good or bad, and whether they relate to things in the present or future.  The passion of good things in the present is pleasure, and good things in the future is appetite/desire; the passion of bad things in the present is distress, and bad things in the future is fear.  These are inherently nonrational impulses and mistaken judgments that arise to cause us emotional disquietude, but there are also appropriate and rational impulses and correct judgment that serve to bring one to emotional peace.  Corresponding to the passion of pleasure is joy, to fear is caution, and to appetite/desire is reasonable wishing (though there is no rational correspondent to fear).  The difference here is that a Stoic may well wish for something to happen, but in a way appropriate to the thing itself and the Stoic’s relationship to it, as opposed to an irrational, mistaken mere instance of appetite/desire.

In a similar way, I claim that not all anger—one might even say not all “hate”—is the same, and that there are healthful expressions of what might be apparent as and equivalent to baser kinds even though they are nothing of the sort.  For my part, consider the line from the Headless Rite that says “I am the Truth who hates the fact that unjust deeds are done in the world” (Ἐγώ εἰμι ἡ Ἀλήθεια, ὁ μισῶν ἀδικήματα γίνεσθαι ἐν τῷ κόσμῳ Egṓ eimi hē Alḗtheia, ho misôn adikḗmata gínesthai en tôy kósmōy).  “Hate” here is just the word μισέω, which really just means “hate”, but what do we mean by “hate”?  Hatred is, at its core, a strong aversion or intense dislike of something, an unwillingness to suffer something.  Sometimes hate can arise from mere opinion and irrational desire, sure, but sometimes it can also arise as the logical and rational consequence of particular ethics and morals that one has cultivated and developed, and if those ethics and morals are well-founded, then hate of a thing directed by such ethics and morals must necessarily be followed as an extension of those ethics and morals.  In that light, while “hate” for some people may well be emotionally-driven, for others it may instead be logically- and rationally-driven.  And this is still something distinct from “rage”, which is merely an indulgence in one’s baser, lower, ego-driven emotions.

When I make a call-out post (as I did with DanKadmos from the Hermetic Agora, the Temple of the Hermetic One, the oppressive acts of the previous US presidential administration during the protests in 2020, racism and fascism and violence against movements like Black Lives Matter, or the like), is there emotion involved?  Sure; I’m still human and definitely no sage.  However, I don’t like wasting my time writing posts like this, and I don’t want to waste my readers’ time in reading posts like this unless there’s a reason that I think justifies the time; if I just want to bitch about something, I keep it to Twitter (if I think it’s funny enough to get a few people to laugh) or (far more commonly) I just keep my mouth shut.  I don’t write call-out posts just to get people upset and enraged, because that’s something I find abhorrent from a moral and ethical perspective, much less a Hermetic one that seeks to quell one’s temper and passions in order to attain higher and more refined states of spiritual development.  I write these posts to get people to act in a way I think helps the world and helps make the world a better place.  I write such posts not as a distraction from my usual writing here, but as a logical extension and result of the practice of living what I write about here.  It is as much part of the message and goal of what I do here as everything else.

As I mentioned in my last post, I fully expected that making such a post about someone so popular in the online occult sphere was going to be divisive, drive people away from me and my writings, cause my much-vaunted numbers to drop, and so on.  And yanno what?  That’s just fine with me.  As I’ve said before in no unclear terms, if people are willing to support horrible things, then I’d much rather they not read my stuff at all.  For all that some people might cry out about others being “hateful” towards them, consider what I said about what “hate” actually means: if you’re willing to suffer or tolerate (or even encourage or rejoice in) things that I make no qualms about being detestable or despicable to me (and with good reason!), then I’m not sure what I have to offer you or what you might hope to find here besides a few tricks nestled amidst my words.  If, after reading and considering what it is I have to say, all that still drives you away from me or makes you want to unfollow me on my blog or Twitter or what-have-you: good.  Go on with your life, and I genuinely hope you do better wherever you go than you are now.

I’m not playing this game to earn a name for myself or to build up a sycophantic echo chamber around myself; in truth, I’m not playing any sort of game at all.  I’m just here doing my thing, as I ever have.  That’s what I encourage others to do, too, both online and off: focus on what it is you want to do, for its own glorious sake as much as you possibly can, and let people rejoice at that and with you in that.  Just remember that, whatever you do, you should do all of it—and that includes the stuff that you might find distasteful but which goes along with all the rest.

An Origin for the Letter Rules of Western Geomancy

Yes, yes, I am still working on my geomancy textbook!  As I’ve said before, it’s a long project, and by necessity it’s not the number one priority in my life; between a full-time job, heavy involvement in my religious community, managing several kinds of online presence, and my own routines and practices, working on my book is definitely a priority but not the priority.  If I had days empty of all other tasks, it’d be a different story, but here we are.  Besides, the book has been in progress since 2013, back at a point where I now think I was wholly unqualified to write such a book.  (I still think I am unqualified to write such a book, not least because I’ve made a number of discoveries, innovations, and corrections to what I knew earlier, but here we are.)

One of the fun parts of the book for me to write is the postscript.  It’s an appendix that, rather than focusing on the meat-and-bones of geomantic techniques and practices, I talk a small bit about my own thoughts, views, and opinions on certain techniques and how my own practice prioritizes certain techniques over others, or my value-estimates of certain techniques.  After all, though there are hundreds of different techniques that one can use in geomantic divination, in any given chart I might only use a handful of them, some I use generally for every reading and others I bust out for particular situations.  Almost all the techniques have some value, but some have more value than others.  I talk a bit about what I think of such things in the postscript as a kind of final letting-my-hair-down moment, where I get to drop a little of the academic and technical style I use throughout the book and get a little personal in my practice.

The postscript really isn’t a place for me to introduce or talk about any particular techniques at length, though—except one: methods to determine names or letters with geomancy.  As I’ve mentioned before on my blog, the methods to determine names is something that would be sorely useful for geomancers, and a number of historical authors mention methods to do so, most of all Christopher Cattan who introduces several “rules” for associating the figures with letters and a number of methods to use them.  John Heydon, likewise, introduces several such sets of associations for different scripts, but largely references the same methods Cattan uses.  John Michael Greer, continuing the vein of carrying on such information especially as it was republished over and over again in the late Renaissance, gives a similar set of attributions in his “Art and Practice of Geomancy”.

It’s all a shame, though, because I’ve never gotten these methods to work.  In my past experiments with them, I kept getting garbage answers with chance results.  Quoth my earlier article:

Alas, however, I have to consign a geomantic technique to the failure pile, and it’s not for lack of trying: determining names.  While it would make sense conceptually that one could determine names with geomancy, I have never been able to get such name charts to work right, from the first time I ran a name chart years ago up until the present day.  Add to it, I’ve found several methods to determine names with geomancy, and several ways to associate the letters to the figures, and I’ve tried them all, none of them giving anything remotely resembling an accurate answer.  This frustrates me to no end, because why the hell would this one technique not work when nearly every other technique I’ve tried has given me useful results?  This is especially frustrating, since being able to predict names would be exceptionally useful in the world, from determining the names of cities one might be successful in to determining the names of future spouses. …

But even using any of the techniques with any set of correspondences, I kept coming up with wrong answers.  If I were lucky, some of the letters in the actual name I was trying to find might appear at random places in the chart, but this was by no means guaranteed.  I did notice a slight tendency for some of the letters to appear in houses II, V, and VIII, but there was no pattern for which letters (start, medial, end) appeared within them.  I even tried using the values of the Greek, Hebrew, and Celestial Hebrew associations that Heydon gives (untrustworthy as his stuff tends to be) to see if it would get me anything closer than the Roman script association; nada.  Plus, many of the techniques assumes there to be at least four letters or syllables in a name; many names I ended up asking about after I did a reading on them had one or two syllables, or had even just three letters, and these techniques don’t specify what to do in the case of really short names.

It seems, also, that I’m not the first person to complain about these methods, not by far.  In addition to my own colleagues and contacts in the present day who largely give the same conclusions I have, the French geomancer Henri de Pisis gives in his 17th century book Opus Geomantiae Completum in libros tres divisum (reproduced as part of Fludd’s later work Fasciculus Geomanticus) gives the following complaint when he introduces these methods (translation mine from Latin):

So as to know someone’s name. I might have put this and another table of the same from Cattan, yet given how useless and hollow it is, I freely suppress it, lest it impose onto this very art which usually predicts with certainty. By this understanding, I would have omitted it and the following chapter, as with things uncertain and generally wrong, if not for that we would see what even a single author maintains …

In truth, it has always escaped me as to the use they make of these numbers here, for nobody thus far has been able to discover their reasoning; neither Gerard of Cremona, nor Geber, nor Pietro d’Abano, nor myself, nor any others besides Cocles and Cattan have discerned the reasoning of the numbers or of the letters of names. It can essentially be seen that Cattan and Cocles would have relaxed this art to such a freewheeling extent into the form of some game, such as the casting of dice or dominoes, for the troublesome cheating of long nights or for the future coaxing of a droll joke, and a good many use it for this and will have had nothing certain placed in the art. In other words, since they are unaware of that which is superfluous to the art, they are unestablished in the foundations of this very art, and are only outsiders into contempt of it. I suggest that these methods be rejected.

It’s frustrating, especially for someone like de Pisis to have written so bluntly about this in a way he doesn’t elsewhere in Opus Geomantiae; he only includes these methods because others have written about them, and that only bitterly and begrudgingly.  This is all the more frustrating because Arabic geomancers make claims to predict names and letters as a matter of course, though because I speak neither Arabic nor Urdu nor Farsi, it’s hard for me to find what methods they use to validate it and see whether they can walk the talk or if they’re just full of hot air.

Now, skip ahead a few years.  The Geomantic Study-Group on Facebook is thriving with over a thousand members, including a good number from Arabic-speaking countries who are, God bless them, actually willing to share and discuss Arabic methods of geomancy.  One of them even goes so far as to include a list of those fancy apparati of Arabic geomancy, taskins, though I prefer an alternate term for them now, dā`ira (plural dawā`ir), which is commonly found in Urdu and Farsi texts, and which literally mean “cycle”.  These things are fascinating for Western geomancers to look at, because we have no parallel for them; they’re a combination of correspondence as well as technique unto themselves, enforcing particular orders of figures for different needs.  Depending on the tradition of Arabic geomancy you’re looking at, some geomancers claim that there are 16 cycles, others 28, or even as many as 400 or more, some kept secret for mystical and magical ends.  Some dawā`ir are clearly organized along mathematical or otherwise clearly understood principles, such as the dā`ira-e-abdaḥ which organizes the figures according to their binary numeral meanings (reading Laetitia as 1000 as 1, Rubeus as 0100 as 2, Fortuna Minor as 1100 as 3, and so forth); others are far more obscure as to why certain figures are arranged in certain ways.

So this list of dawā`ir is shared in the group, and happily the poster who shared it cited a particular academic: Dr. Matthew Melvin-Koushki, currently of the University of South Carolina, one of whose research interests is the occult sciences in Islam.  In his paper “Persianate Geomancy from Ṭūsī to the Millennium: A Preliminary Survey” (in Nader El-Bizri and EvaOrthmann, eds., Occult Sciences in Pre-modern Islamic Cultures, Beirut: Orient-Institut Beirut, 2018, pp. 151-99), Melvin-Koushki lists seven such cycles:

The various regional schools of geomantic thought are therefore to be distinguished by the ‘cycles’ (sg. dāʾira) they prefer to employ. A cycle, Hidāyat Allāh explains, is simply a specific sequence (tartīb) of the 16 geomantic figures, with each sequence featuring different types of correspondences — elemental, humoral, temporal, astrological, lettrist, etc. And the four cycles he identifies above are far from the only ones in common use. The geomancer has at his disposal a rather larger number of cycles; which he employs in any given reading depends on the nature of the information being sought and the degree of detail required. Hidāyat Allāh lists seven by way of example:

  1. The Occupation (sakan) cycle is the most basic; it begins with Laetitia and ends with Via.
  2. The Constitution (mizāj) cycle tells the querent what day he can expect to realize his desire; it begins with Acquisitio and ends with Cauda Draconis.
  3. The BZDḤ cycle, aka the Number (ʿadad) cycle, is used to tell periods of time; it begins with Puer and ends with Populus.
  4. The Letter (ḥarf) cycle is used to reveal names (a very popular application of the science); it too begins with Laetitia and ends with Via, with the first twelve figures being assigned two letters each and the last four figures only one.
  5. The Arabic Alphabet (abjad-i ʿarabī) cycle, aka the Element (ʿunṣur) or Interior (dākhil) cycle; it begins with Laetitia and ends with Populus.
  6. The ABDḤ cycle, aka the Element (ʿunṣur) or Arabic Alphabet (abjad-i ʿarabī) cycle, which is also popular; it too begins with Laetitia and ends with Populus.
  7. The Most Complete (aṣaḥḥ) cycle, which has a different organizing principle and procedure; it begins with Laetitia and ends with Via.

Note that fourth cycle Melvin-Koushki lists: the ḥarf cycle, the word literally meaning “letter” (as in characters of an alphabet).  This cycle goes in the following order:

  1. Laetitia
  2. Tristitia
  3. Rubeus
  4. Albus
  5. Fortuna Maior
  6. Fortuna Minor
  7. Caput Draconis
  8. Cauda Draconis
  9. Puer
  10. Puella
  11. Acquisitio
  12. Amissio
  13. Populus
  14. Carcer
  15. Coniunctio
  16. Via

Melvin-Koushki says that the first twelve figures (Laetitia through Amissio) get two letters each, and the final four (Populus through Via) get one letter each.  Looking through contemporary texts on Arabic geomancy (despite my lack of knowledge of Arabic/Farsi/Urdu, I can still pick out patterns and particular words well enough to find them!), we get the following correspondences of figures to letters:

Figure Letter
Laetitia أ
‘Alif
ف
Fā’
Tristitia ب
Bā’
ص
Ṣād
Rubeus ج
Jīm
ق
Qāf
Albus د
Dāl
ر
Rā`
Fortuna Maior ه
Hā’
ش
Shīn
Fortuna Minor و
Wāw
ت
Tā’
Caput Draconis ز
Zāy
ث
Thā’
Cauda Draconis ح
Ḥā’
خ
Khā’
Puer ط
Ṭā’
ذ
Dhāl
Puella ي
Yā’
ض
Ḍād
Acquisitio ك
Kāf
ظ
Ẓā’
Amissio ل
Lām
غ
Ghayn
Populus م
Mīm
Carcer ن
Nūn
Coniunctio س
Sīn
Via ع
`Ayn

Note the order of how the letters go, first down the left column then down the right: this is the traditional abjadī order of the Arabic script, the same one in use for all other Phoenician-derived scripts like Greek and Hebrew.  The fact that the last four figures in the ḥarf cycle have only one letter each are also the liminal figures that are neither entering nor exiting might be because these four figures are special.  More realistically, though, it’s because there are 28 letters in the Arabic script, which means that some figures would get two letters and others only one; because there are 16 figures, 16 × 2 = 32, and 32 – 28 = 4.  If you just start assigning the letters one by one to the figures, you’d run out for the last four.  This raises the question, which came first, the order of the figures, or the ordering of the letters to which the figures were then mapped?  It’s unclear which came first to me, but we can pick out some interesting structural notes about the ḥarf cycle:

  • The first 12 figures are given in reversion pairs: Laetitia/Tristitia, Rubeus/Albus, etc.
  • The first four figures are the “pure elemental” figures, each with seven points.
  • The last four figures are all liminal figures, each of which is their own reversion; the first two are considered the stable liminal figures, the latter two the mobile liminal figures, progressively going from the most stable to the most mobile.

I also want to note that the source Melvin-Koushki is referencing came from the late 16th century, and his sources likely came from much older ones; by that point, geomancy was already around 600 or 700 years old.  Regardless, this cycle is still found in many works even today as a means to predict names.  (I have also seen the ABDḤ/binary-numeral cycle used for this same purpose, but it seems like that’s less popular of a choice than using this specific cycle, though the mechanism is the same.  I don’t know how common using the ABDḤ cycle is for this purpose, or where it might be centralized.)  Although I haven’t yet found much in English or another language I know yet about how to specifically use this cycle for divining names, at least I know how they associate the figures with letters, which is pretty neat unto itself.

I bring this up because, while going over my draft for my postscript in my book, I returned to that section about how Western geomancy has methods for determining names.  I originally wrote the seed for that section in the aforementioned blog post of mine back in 2014, and I basically copied the same tables (in a more intelligible way and broken down by author or source) into my book.  While I was revising that particular section, something about the order of how Cattan, Heydon, and Case associated the figures to the letters…something about it struck me as familiar.  I normally use the planetary order of the figures in my posts and tables (lunar figures, Mercurial figures, Venereal figures, …, nodal figures), but it struck me that several Western authors all had it that Laetitia was given to A, Tristitia to B, Rubeus to C, and so on.  They don’t all agree with each other in some of the associations, and Cattan and Heydon have other rules that give other letters to the figures, but it’s clear they were all drawing on the same source in one form or another, and…hm.  Neither the similarities between them nor that same order could be given to chance.

Digging out my ancient binder of geomancy notes from when I was in college, I got out my transcript of one of the earliest Western works on geomancy, Martin of Spain’s work “De Geomancia”, written sometime in the 1200s.  Dr. Laurel Means has a version of it in Popular and Practical Science of Medieval England (Lister M. Matheson, ed., Michigan State University Press, 1994), and I was able to get a text transcript of it while in college, though I’ve since lost the original source and the transcript file I was working on, though I did save a copy.  I remembered this because it has an early association of the figures with letters from well before Cattan or the others, and I wanted to see how it’d match up.  Surprise: it did, more than I expected, even if I’m missing associations for two of the figures.  Though Martin of Spain gives anywhere from one to five letters to the figures, the first of them typically matches with the expected one and seems to be the “primary” letter.  All these Western sources all seemed to share the same basic order of the figures, starting with Laetitia and Tristitia and continuing from there.  There are some variations, but it’s all fundamentally the same thing.

To compare what I’m seeing, here’s a table that associates the letters of the alphabet with the figures from Christopher Cattan (specifically his First Rule), John Heydon (the “First Rule” for English, with annotations), John Case, and Martin of Spain (more below because this is weird):

Letter Martin of Spain Cattan Heydon Case
A Laetitia Laetitia Laetitia Laetitia
B Tristitia Tristitia Tristitia Tristitia
C Rubeus Rubeus Caput Draconis Caput Draconis
D Albus Albus Albus Albus
E Fortuna Minor Fortuna Minor Fortuna Minor Fortuna Minor
F Fortuna Maior Fortuna Maior Fortuna Maior Fortuna Maior
G Caput Draconis Caput Draconis Rubeus Rubeus
H Cauda Draconis Cauda Draconis Puella Puella
I J Puella Puella Acquisitio Acquisitio
K Puer Puer Cauda Draconis Cauda Draconis
L Acquisitio Puer Puer
M Acquisitio
N Via Amissio Amissio Amissio
O
P Carcer Via Via Via
Q
R Carcer Carcer Carcer
S
T Populus Populus Populus Populus
U V W
X Coniunctio Coniunctio Coniunctio Coniunctio
Y Via
Z

Admittedly, Martin of Spain’s attributions are a little weird; he gives a set of letters for each figure, roughly in alphabetical order per figure, so a bit of sussing needs figuring out; additionally, the letters “l” and “y” are not allocated anywhere, but there is an allocation for the obsolete letter yogh (ʒ), which I interpreted as “y” above.  The full set of associations from Martin of Spain are:

Figure Numbers Letters
Fortuna Maior 12 ff
Fortuna Minor 8 or 1 e
Caput Draconis 13 g t
Acquisitio 31 h m
Laetitia 50 a d
Puer 9 k j
Tristitia 12 b d n
Puella 1 j c e
Rubeus 14 a c s
Albus 14 a d e
Amissio 15 j t s
Cauda Draconis 14 or 12 h j c d
Populus 2 n o t u
Coniunctio 13 or 17 r s t x
Via 8 n o t a ʒ
Carcer 10 o p q r s

Anyway, none of the associations we have in Martin of Spain, Cattan, Heydon, or Case give a figure for the letter Z, and the letters I/J and U/V/W weren’t classified as separate letters until recently, anyway.  As always, Case agrees with Heydon, as I’m pretty sure Case’s Angelical Guide was based on Heydon’s Theomagia, and both differ from Cattan in some minor ways.  Martin of Spain’s order starts off clear, but the order gets really mixed up and unclear towards the end.  Cattan’s order seems to be the most orderly, and preserves almost but frustratingly not quite the same order as the ḥarf cycle from before, with the following changes:

  • Cattan has Fortuna Minor and Fortuna Maior in positions 5 and 6; the ḥarf cycle switches these
  • Cattan has Puella and Puer in positions 9 and 10; the ḥarf cycle switches these
  • Cattan has Via, Carcer, Populus, and Coniunctio as the final four figures; the ḥarf cycle has Populus, Carcer, Coniunctio, and Via

What we’re arriving at is that the Western rules for assigning letters to the figures is clearly a continuation of the same cycle associations that began in the Arabic tradition, even from a very early period in Western geomancy, which indicates that the ḥarf cycle definitely dates back to the late 1200s, probably earlier, making it a very early arrangement of figures, indeed.  At least in the western part of Europe (i.e. Spain as opposed to Greece), this was likely brought in at an early point along with the rest of geomantic technique, and held on in some form or another by a handful of geomancers.  It’s unclear to me exactly how popular this method or association was, since I haven’t found more than a handful of resources that give such an association and most of them tend to be the larger works on geomancy that date from Cattan and onwards, but it may well be that this system was held onto, perhaps with some corruptions or changes, which would explain the small changes in Cattan’s order versus the ḥarf cycle.

The other major difference is how the letters get assigned to the figures in their cycle.  Rather than how the Arabic method goes through the cycle of figures and gives each figure one letter in turn, which results in a bunch of figures at the start with two letters and a few at the end with only one, the European method seems to almost be reverse: double up the letters at the end of the cycle and work forward until the rest of the figures at the start have only one letter each.  Given how straightforward the association method would be, I’m not sure how the method changed so drastically; either several corruptions happened along the way, or someone innovated a variation on the system.  I can’t seem to trace sources back past Cattan, or at least find any in an accessible form, so it’s unclear whether Cattan or his predecessors carried on the same tradition that Martin of Spain wrote about, whether his method came from another variant closely related to it, or whether he reimported an Arabic method and customized it for European needs.

What would it look like if we were to use the ḥarf cycle order of the figures and the same method, but applied it to the Roman script?  Considering that the Roman script that we use nowadays has shifted a bit from Renaissance usage, notably with the introduction of a few more letters (J from I, V and W from U, and Z), we can envision two versions of this, a “Renaissance Roman” ḥarf association of the figures with the letters as it was done in the days of Cattan et al. with 23 letters, and a “Modern English” association that uses all 26 letters of the modern English alphabet but done in the same way.  Below is what we would get from using those methods, alongside Cattan’s association for comparison (with the mis-ordered letters, e.g. Fortuna Maior and Fortuna Minor, in bold italic).  Heck, we can even come up with a Cattan-style association of the letters, using the ḥarf ordering (to fix the irregularities we might have seen from before) but using the same Western-style doubling-up of successive letters at the end:

Figure Cattan Ḥarf-Style
Renaissance
Roman
Ḥarf-Style
Modern English
Cattan-Style
Modern English
Laetitia A A R A Q A
Tristitia B B S B R B
Rubeus C C T C S C
Albus D D U/V/W D T D
Fortuna Maior F E X E U E
Fortuna Minor E F Y F V F
Caput Draconis G G G W G H
Cauda Draconis H H H X I J
Puer K I/J I Y K L
Puella I/J K J Z M N
Acquisitio L M L K O P
Amissio N O M L Q R
Populus T U/V/W N M S T
Carcer R S O N U V
Coniunctio X Y P O W X
Via P Q Q P Y Z

In this light, let’s point out two things about Cattan’s original style (which I’m taking as the default Western letter association rule, which was an earlier version of what Heydon and Case later used):

  • Really, why is there no Z in the Renaissance Roman scheme, or even Cattan’s original scheme?  As I mentioned earlier, Z was barely considered a letter in English until comparatively recently, so it’s not completely surprising that medieval, Renaissance, and even early modern texts on geomancy would omit it from such an association scheme.  Yet, French (for that matter, many forms of Romance languages) definitely uses the letter Z in its language regularly, so it’s odd that French or Italian would omit this letter.  Note how it would fall in the ḥarf-style Renaissance Roman scheme, as a letter corresponding to Caput Draconis.  This, however, would give its reverse figure Cauda Draconis no corresponding double letter, because the Roman script including Z would have 23 letters, and an odd number would mean one of these reversion-pairs would go unassigned.  So, this letter would have to be omitted to keep the system clean, and would probably logically be merged with S (as part of Carcer).
  • Even then, why does the Cattan scheme double up successive letters at the end, rather than allocate sequential letters cyclicly through the alphabet?  It might be more for a superficial resemblance or mirroring of how the ḥarf cycle associations work for Arabic, where the final positions are given to the liminal figures which were seen as “breaking the pattern” in some special way.  Because 22 letters get nowhere near those final four figures (as the ḥarf-style Renaissance Roman scheme shows) and because we might still want to make those final figures special in some way, the doubling-up of successive letters at the end could be seen as a compromise to keep the final few figures special while still allocating the letters to the figures in an orderly way.  It’s a major departure from the logic of the ḥarf cycle method, but it’s a method all the same.

So, let’s say that we have our pick now of these four systems.  Which would I recommend to use?  Given what the original ḥarf cycle logic was, I would throw my hat in for the ḥarf-style modern English associations above, but that’s also because I use the English language, and though the Renaissance Roman script is just an earlier version of the English alphabet, I see no reason to use an outdated orthography that omits several important letters that have not been considered allographs or variants of others for several hundred years now.  The same method of straightforwardly allocating the letters of one’s writing system in order to the geomantic figures in the ḥarf cycle can be used for any alphabetic or abjadic script.

Even with this, there are still several important questions that are still left unanswered:

  • It’s clear that alphabets or abjads that have an even number of letters would be favored, because it keeps the reversal pairs intact, so that each figure in the pair has the same number of letters.  What about scripts with an odd number of letters?  Does it really matter that much to keep reversal pairs intact?
  • Why are the figures in the ḥarf cycle placed in this order at all?  Is there an organizing principle behind it, or was it more inspired than devised?
  • Did the ḥarf cycle come first and then the association with the letters, or did the idea of divvying up the 28 letters of the Arabic script come first and the figures associated with those letters afterwards?  If the latter, it could explain why the four liminal figures just so happen to be at the end of the cycle where they get one figure each.  But even then, why would the pure element figures Laetitia, Tristitia, etc. be at the front in that order?  Reading the figures as elements, they could be read as Fire-Earth-Air-Water (my modern system or just using the points of those elemental lines) or as Air-Earth-Fire-Water (the older system that swaps Rubeus for Fire and Laetitia for Air), but this would be odd considering their pure elemental representations.
  • Can other cycles be used instead of the ḥarf cycle?  I know that at least some geomancers use the ABDḤ cycle using the same method of allocating letters to figures, just in a different order of the figures, though it seems the ḥarf cycle is more popular, at least in Africa and the Near East.
  • Where did Cattan get his Second and Third Rules of assigning the letters to the figures come from?  I haven’t been able to figure out a pattern there, either, especially with the varied and numerous associations he gives that don’t match anything else.  He even includes the letter Z in the Third Rule!

  • Did the methods of determining names as given by Cattan, Heydon, etc. also originally come from Arabic geomancy, or were they developed purely in a Western setting?  If they came from Arabic geomancy, did they come in at an early date and get passed down (and potentially corrupted) as time went by, or were they reimported at a later date?  Given their wording, it seems they were unclear and obscure even in Renaissance times.
  • What even are the methods in use for Arabic geomancy for using the ḥarf cycle?  I haven’t been able to read or research much about that, either.  How do Arabic geomancers determine names, and how similar are these methods using the ḥarf cycle (or other cycles with letters associated to the figures!) to those in Western geomancy?
  • What can be done about non-alphabetic or non-abjadic scripts?  Syllabaries can feasibly be assigned, syllable by syllable, to the geomantic figures, though that would quickly get out of hand depending on the number of syllables a language has.  How about abugidas, like any of the Brahmic-derived scripts?  How would vowels be handled in that system, if at all?  What about logographic scripts?

Still, even with these unanswered questions, I feel like I have enough at this point to convince me that that whole section in my book’s postscript about how trash these methods of determining names and letters are probably deserves a rewrite.  In fact, what’s astounding about the Western methods is that we have a fossil of Arabic dawā`ir embedded in our own practice, when otherwise there we don’t use any dā`ira-based technique.  It really emphasizes to me that, truly, geomancy is still an art that reaches deep into the sands of north African and Arabic culture, and perhaps there are more things that we can learn from or even merge with from our eastern siblings in this art.

In the meantime, I’m going to get back to more research and writing.  I want to take another look at those rules and try applying them again; now that I have a better understanding of why the letters get allocated to some figures in certain patterns, maybe using the ḥarf cycle in a more pure way than what Cattan or Heydon have could improve those chances of determining names.

Compilation Paralysis

I’ve been on a compilation kick lately.  I mentioned in a recent post of mine about the Orphic Hymns that I’m compiling a personal temple text from a variety of sources because I don’t like having books in my temple room if I can avoid it; for instance, I have a copy of Dervenis’ Oracle Bones Divination that, up until quite recently, I’ve been using as my reference for astragalomancy, and have kept it with my shrines for the Greek gods.  This…makes me uncomfortable, so I transcribed all the necessary information from that into a personal ebook for me to keep a printout of instead.  Not only do I get to finally put the damn book back on the bookshelf after way too long, but I also get to reformat it, reorganize it, and include other information I want to reference, as well as tweak some of the translations for my own tastes.

Of course, one thing led to another.  I also included a few pages for grammatomancy, which also references a good chunk of my Mathesis correspondences to the letter, and because Opsopaus included the Delphic Maxims in his Oracles of Apollo book, I decided to include those, too.  Again, nothing too elaborate or in-depth; I have enough experience with these systems and the backgrounds and contexts in which they were written to not have to have all the extra information in a temple reference.  The final result is something I could be content with…except, of course, I wasn’t.  Given all the references to the other gods between grammatomantic correspondences to the zodiac signs and, by those, to the Greek gods (cf. Agrippa’s Orphic Scale of Twelve, book II chapter 14), I wanted to also have a section for the Orphic Hymns.  This is reasonable; after all, my personal vademecum-enchiridion-prayerbook has a number of them already transcribed, and while I won’t use all the Orphic Hymns in my practice, why not have a complete set for reference, just in case?  It wasn’t hard to find a copy of the Greek texts as well as the Taylor translations that I could simply copy, paste, and format for LaTeX’s customary needs.

But, of course, why stop there?  I also ended up adding Gemisthus Plethon’s hymns as well as those of Proclus, which I find useful for my Neoplatonic uses as well as my devotional ones.  And, if we’re going with devotions, I decided to also include a few prayers attributed to Hermes Trismegistus from the Corpus Hermeticum, the Asclepius, and so on, and because of those, I also wanted to bring in a few things from the PGM, which then became more than a few things from the PGM, and then I added in the planetary invocations from the Picatrix because those would be useful, too…

The ebook I was preparing ballooned from a simple reference for divination to a compendium of devotional and oracular texts.  Whoops.

But, yanno, I was hooked!  I wanted to bring in what I could, because it might be useful, whether in a devotion to the theoi or in divination or needing something to reference for meditation.  And, so, my penchant for completionism and perfectionism kicked in—hard—and I’ve been looking through my other references and books, trying to pick out useful prayers, invocations, rituals, and the like for my temple.  In effect, I was essentially making a typed-up version of my vademecum, with a different focus and with plenty more texts that I’m not accustomed to using.

This is all well and good, of course, assuming I could actually use the thing.  And in the form it was in, even in the form it had been in, it was quite plenty useful, and definitely satisfied my original needs of having a handy divination reference in my temple.  But since I brought in all these other things, I knew I wanted more, and because I wanted more, I also knew that it was incomplete.  And how would I tolerate having something be incomplete?  The idea is as distasteful as unnecessarily having books in my temple room.  Because it was incomplete, I didn’t want to print it out prematurely, especially with having to deal with page numbers or section enumeration, because if I wanted to add or fix something, I’d have to go back and reprint the damn thing for consistency, and even though I can get by by using the office printers once in a while for personal ends, I didn’t want to waste that much paper and ink.  Editing a text is one thing—I’m not opposed to using interim texts with scratched-in notes—but putting something on paper, especially printing something out, gives me a hard-to-achieve and yet so-satisfactory feeling of something being “fixed”, even if it is for my eyes only.  So, in order to make printing this thing meaningful, I wanted to make sure it was worthy and proper for printing.

It’s been over a month since I had the original problem of “I need a quick reference for divination”.  It’s also been over a month since I’ve had a workable, totally satisfactory solution for this problem, too, and yet I still haven’t fulfilled my needs.  Instead, I got caught up in a problem I call “compilation paralysis”: not wanting to proceed in some matter due to a fear of not having enough resources, options, or sources.

Some authors, especially those in academia or in teaching-types of writing, might know the feeling well, of not feeling like you have adequate source material to publish.  I have that same sensation, too, for my geomancy book-in-progress, knowing that there’s still so much more that might be included but…well, the benefits diminish after a certain point, and well before that, it’s probably better to cut out stuff that’s truly extraneous and unnecessary before adding anything more.  It does, in fact, help to start off with too much and cut down rather than having the opposite problem, and this is a habit I picked up in college for my research papers (getting down to the ten-page mark was a lot easier than trying to BSing and subtle-formatting my way up to it).  But, at the same time, consider the context: what these authors are dealing with is a single book on a single topic that is published for a single need.  Once that need is met, the book is (in theory, at least) publishable; further books can be written or new editions made with further appendices, but those aren’t strictly needed.  My problem, in this case, is dealing with something for me and me alone that needs to satisfy my sometimes-nebulous needs.

One of the reasons why I support people having a notebook or, perhaps even better from a utilitarian standpoint, a binder with written pages for their vademecum-enchiridion-prayerbooks or records of their prayers and rituals is because these are essentially living documents; as we grow in practice, they grow, too.  As we find new prayers, rituals, and correspondences, we add them in, organization be damned.  We can reevaluate the real use of these things we add, and reorganize what makes the cut, when we fill the first notebook and move onto the second one, as I did not too long ago.  These aren’t things that need to be polished, edited, or fixed in any way except what serves our needs in prayer and ritual, and as such, don’t need to be fancy, embellished, typeset, illumined, or otherwise made particularly fancy.  In fact, I have a personal fear of using those beautifully handcrafted, leatherbound, embossed, etc. journals I see floating across the internet and bookstores because I tremble at the thought of messing up such a beautiful work with errors or wasted paper; not only is my calligraphy not up to par to match the beauty of these books, but I find these things to be more appropriate to true works of devotion and love that are complete and refined unto themselves.  (I only speak for myself, of course.)

So, like, with my personal enchiridion, I don’t particularly care about making errors; there are scratchmarks, crossouts, and addenda all over the damn thing.  The important thing for me is not to waste space, so I try to be as efficient as possible cramming in as much information and references as possible into as few pages and lines as possible.  This is fine; after all, it’s my own personal thing, and nobody else needs to see or use it; besides, Moleskines can be expensive for such a notebook, even if they’re the perfect size to carry around (and fit in a Hyundai car manual leather case, I might add, which gives it extra padding and some extra utility, in case you wanted to try that out as a Moleskine bookcover).  The things I add to my enchiridion are a testimony to my growth and directions and shifts in focus I take in my practice, which I find is informative on its own.  The only important criterion I have for adding stuff to it, truly the only one, is whether something is going to be useful to me; if not, I’m not gonna waste the time writing it in or the ink to write it.

That’s what reminded me to get out of my compilation paralysis.  There’s no need to be scared or anxious about not having enough sources; if I need something later, I can just add it it.  It’s not like I didn’t already have these sources and there’s a threat of losing them; I’ve never needed a copy of the Homeric Hymns or the Nabataean prayers to the Sun or Saturn on hand when I didn’t already have my enchiridion or my copy of the Picatrix at hand, after all, so why should I be so worried about not having them in this temple reference?  I can always add new things into the overall document, print out the necessary pages, and just add them into the binder where appropriate.  It’s not that big a deal.  I know for a fact that I can always get this information should I need it, and if I haven’t needed it yet, there’s no harm to start off with that which I know I need right now and add stuff later.  I’ve got more than enough source material for what I need, anyway, and it’s more manageable to deal with two small binders than one massive one.

It’s a bitter pill for me to swallow, but even I have to admit it: none of us needs to know everything about our practices right out of the gate.  It might be nice, to be sure, but that’s also kind of the beauty of it, to let growth happen organically, especially if you’re in a practice that you’re developing on your own, as so many magicians and pagans are.  You don’t need full copies of the Homeric Hymns or Orphic Hymns in both Greek and English the moment you decide to build a shrine to one of the gods; you don’t need to know all the specific proportions of all the ingredients for the obscure incenses needed for all the planets from the Picatrix when you’re not even going to bother with a planet you’re going to interact with tonight once and probably not again for a few years more.  Part of the practice is just that: practice.  We do things, and then we do both more things and we do those same things more.  We learn, we accumulate, and we incorporate what we do into what eventually becomes our whole practice.  Part of that is necessarily finding more things to add and adding them at the proper time, as well as changing the things we do as we need to change them so as to keep doing them better or, at least, keep doing things better for our own sakes.  If we need to make emendations, do so at the proper time; you don’t know what would need them until you do or until they’re pointed out to you, and so much of that is based upon trial and error, experimentation and evaluation.  It’s not that big a deal.

There’s no need to worry, and there’s no cause for paralysis.  All you need to do is, simply, do.  Amend, fix, and add when you need to.  Don’t worry about trying to have everything ready for everything, especially when you don’t know what “everything” consists of.  Relax, then Work.

Clarifications on Terms for Symbols

It’s a bit of a pet peeve of mine when people badly use terms in an occult context.  To be fair, different traditions may use certain terms in particular ways that are specific to that particular tradition, which may or may not differ from normal use.  Other groups treat some terms completely interchangeably when, strictly speaking, the terms signify different things.  Generally, however, there’s not much rigor in how people use specific terms, and end up misusing them (through their own ignorance and confusion) or abusing them (to intentionally mislead or annoy others).  I’d like to clear up a few things and offer some of my definitions for particular terms used in an occult context, this time focusing specifically on terms used for different types of symbols.

For any of these terms, “symbol” is the highest-level term I can think of for any of these following terms.   If you’re not sure what kind of symbol a particular thing is, just say “symbol”.  Everyone understands that.  Not everyone understands what a particular person means by “sigil” or “rune”, however.  Granted, these words are given with my personal definitions, and again, may not be those used by other traditions.  However, for the sake of having a regular inventory of words with specific, unambiguous meanings, here’s how I use these particular things.

Glyphs are symbols used to indicate a basic thought or sound.  In other words, a glyph is much like a written-down word.  Individual letters communicate sounds; individual numerals communicate numbers; individual Chinese characters communicate sounds or concepts or words; the glyphs for the planets, zodiac signs, elements, and alchemical concepts communicate those things and only those things.  Glyphs are essentially a generalized notion of a letter in an alphabet; they are characters in a writing system that includes letters, numbers, punctuation,  labels, and so forth.  Glyphs may or may not be used in an occult context; for instance, these words you’re reading right now are composed of glyphs (letters and punctuation of the English alphabet), but so is an astrological chart (the symbols used to denote the planets and Zodiac signs) or a computer science textbook (punctuation and numerals and diagrams to indicate logical connections or mathematical operations).  Glyphs may be used one at a time (using the symbol for the Sun) or in combination with other glyphs (multiple letters to spell out a name).

Seals are symbols that are invented as a complete unit or are received from a spirit.  Seals cannot be decomposed into more basic things, but are a whole unto themselves.  They are symbols that are not generated according to a particular rule or composed according to sacred geometry.  They are simply abstract symbols that refer to something.  Importantly, especially in my own work, seals are “revealed” or given unto someone by a spirit or person to refer to themselves; seals are an abstract “body” to give an idea a graphical or visual form.  Consider the symbols used to refer to spirits in the Lemegeton Goetia; these are not composed of more base units or other symbols, but are whole things unto themselves.  These are seals, and often have no origin besides “this is what I was shown to use and has no rhyme or reason beyond that”.  Seals are to constructed diagrams what barbarous words of power are to words in the dictionary; they may not have any communicable meaning that us humans can understand, but they work.

Sigils are symbols that are constructed according to a particular algorithm.  Think of the standard way of creating a letter-based sigil according to Agrippa (book III, chapter 30) or as used in modern chaos magic, or like with my own shorthand system.  Alternatively, consider the sigils used for the planets with their planetary intelligences and spirits from Agrippa (book II, chapter 22), which are lines drawn over the qameas of particular planets and playing connect-the-dots with the gematria values of individual letters of a name or word.  Sigils are symbols created according to a defined set of rules (combine these letters, connect these numbers on this qamea, etc.).  They are not always artistically made, although the algorithms used to generate a sigil may have some leeway for style and innovation.  A painting may incorporate sigils, but a sigil is not made of pictures; a sigil is a geometric, abstract form composed or generated from glyphs.

Runes are letters of the writing systems used for Germanic languages prior to the introduction of the Roman script.  In other words, runes are no more than letters of a particularly old style of European alphabet.  These can be classified, generally speaking, into two families: the Scandinavian futhark (both Elder and Younger, together used between the 2nd and 11th centuries) and the Anglo-Saxon futhorc.  There were medieval runes used in some astrological contexts, but generally runes stayed out of Hermetic and Western ceremonial stuff.  However, a particular alphabet known as Darlecarlian runes was in use until the 20th century in a small province in Sweden, but this was certainly the exception to the historical abandonment of runic writing.  There are other systems of writing and symbols that are runiform, such as Old Turkic and Old Hungarian, but these bear only a superficial resemblance to Germanic runes, and are not technically runes on their own as they belong to a different writing system, culture, and geographic area.

Pentagrams are five-pointed stars.  That’s it.  Nothing more than that.  You can only really draw a pentagram one way, regardless of orientation.

Hexagrams are six-pointed stars . Again, nothing special here, but there’s a bit more complexity.  The Star of David is nothing more than a hexagram composed of two overlapping equilateral triangles, which is what’s usually meant by “hexagram”.  The unicursal hexagram is another type, though it’s not original to Crowley by any means; the mathematician Blaise Pascal depicts it in one of his works from 1639.  The “elemental hexagrams” shown in the Key of Solomon (book I, chapter 3) are not, strictly speaking, hexagrams (with the exception of one); they are configurations of two triangles each that do not, necessary, combine to form a proper hexagon.

Pentacles are not stars.  They are not necessarily pentagrams, nor are they necessarily hexagrams.  Pentacles are more of a system of symbols that work together in unison for a particular goal; they are something usually, but not always, more elaborate than a sigil and are not necessarily combined in an algorithmic way.  Consider the pentacles from the Key of Solomon (book I, chapter 18), or the Elemental Weapon of the Earth as used in the Golden Dawn, or the protective lamen with the pentagram and extra symbols used in the Lemegeton Goetia, or that used in the Heptameron of Pietro d’Abano.  Pentacles are, essentially, the physical version of a graphic design composed of one or more symbols, often including letters and names, and arranged in a method more akin to sacred geometry than algorithmic combining or tracing.  Pentacles are tangible objects, things you can hold and touch and wear.  All pentacles are talismans, although not all talismans are pentacles.  For instance, a talisman engraved in a circular stone may have the design of a fish surrounded by Hebrew words can be considered a pentacle, but a talisman of a stone fish with words engraved on it is not a pentacle.  Pentacles are generally round, flat objects such as a circular piece of paper or a metal disc that have a design engraved, painted, drawn, or otherwise inscribed upon it as a graphic design of a system of symbols.  Pentacles are not oddly-shaped things like carved statues or rings or wands, despite its talismanic properties or designs on them.  Although the words “pentacle” and “pentagram” are related and were originally used interchangeably, the word “pentacle” started to be used for any magical talisman in the form of a pentagram or hexagram starting in medieval French.  An alternate etymology combines this with an older French word for pendant, pentacol or pendacol, or something worn around the neck.  Indeed, most pentacles are typically worn around the neck as lamens, which is probably the most correct use of this word in my opinion, but can easily be expanded to other (typically circular and flat) objects with a system of magical symbols inscribed upon it.

Tetragrammaton (more properly the Tetragrammaton) is another word for the four-letter name of God, Yod-Heh-Vav-Heh or Yahweh or Jehovah or whatnot.  The word is Greek and literally means “the thing of four letters”.  It is a title to refer to the sacred name of God, akin to the Hebrew haShem “the Name”, but is often used in Hermetic and Solomonic work as itself as a sacred name of God.  However, this is nothing more than a word composed of individual letters; the word “Tetragrammaton” does not refer to any pentacle or other occult design.