# On Geomantic Figure Magic Squares

We all know and love magic squares, don’t we?  Those grids of numbers, sometimes called “qamea” (literally just meaning “amulet” or “talisman” generally in Hebrew, קמיע or qamia`), are famous in Western magic for being numerological stand-ins or conceptions of the seven planets, sure, such as the 3×3 square for Saturn, the 5×5 square for Mars, and so forth, but they’re also huge in Arabic magic, too, from which Western magicians almost certainly got the idea.  Sure, magic letter squares are ancient in the West, such as the famous Sator Square from Roman times until today, and have more modern parallels in texts like the Sacred Magic of Abramelin, but magic number squares are fun, because they combine numerical and numerological principles together in an elegant form.

Which is why I was caught off-guard when I saw these two squares online, the first from this French blog post on Arabic geomancy and the other shared in the Geomantic Study-Group on Facebook:

Well…would you take a look at that?  Geomantic magic squares!  It took me a bit to realize what I was seeing, but once it hit me, I was gobsmacked.  It might not be immediately apparent how to make a geomantic magic square, but it becomes straightforward if you consider the figures as numbers of points, such that Laetitia stands in for 7, Puer for 5, Carcer for 6, and so forth.  Sure, it’s not a traditional kind of n × n number square that goes from 1 to n², but there are plenty of other magic squares that don’t do that either in occult practice, so seeing a kind of geomantic figure magic square actually makes a lot of sense when they’re viewed as numbers of points.  In this case, the magic sum of the square—the sum of the columns or rows—is 24.

Consider that first magic square, elegant as it is.  When it’s oriented on a tilt, such that one of its diagonals is vertical, we have the four axial figures (Coniunctio, Carcer, Via, and Populus) right down the middle, and all the other figures are arranged in reverse pairs in their corresponding positions on either side of the square.  For instance, Amissio and Acquisitio are on either side of the central axis “mirroring” each other, as are Tristitia and Laetitia, Fortuna Maior and Fortuna Minor, and so forth.  This is a wonderful geometric arrangement that shows a deep and profound structure that underlies the figures, and which I find particularly beautiful.

Of course, knowing that there are at least two such geomantic figure magic squares, and seeing possibilities for variation (what if you rearranged the figures of that first magic square above such that all the entering figures were on one side and all the exiting figures on the other?), that led me to wonder, how many geomantic magic squares are there?  Are there any structural keys to them that might be useful, or any other numerical properties that could be discovered?  So, late one evening, I decided to start unraveling this little mystery.  I sat down and wrote a quick program that started with the following list of numbers:

`[ 4 , 5 , 5 , 5 , 5 , 6 , 6 , 6 , 6 , 6 , 6 , 7 , 7 , 7 , 7 , 8 ]`
• Why this list?  Note that the figure magic squares rely on counting the points of the figures.  From that point of view, Puer (with five points) can be swapped by Puella, Caput Draconis, or Cauda Draconis in any given figure magic square and it would still be another valid magic square that would have the same underlying numerical structure.  There’s only one figure with four points (Via), four figures with five points (Puer, Puella, Caput Draconis, Cauda Draconis), six figures with six points (Carcer, Coniunctio, Fortuna Maior, Fortuna Minor, Amissio, Acquisitio), four figures with seven points (Albus, Rubeus, Laetitia, Tristitia), and only one figure with eight points (Populus).  If we simply focus on the point counts of the figures themselves and not the figures, we can simplify the problem statement significantly and work from there, rather than trying to figure out every possible combination of figures that would yield a magic square from the get-go.
• How does such a list get interpreted as a 4 × 4 square?  There are 16 positions in the list, so we can consider the first four positions (indices 0 through 3) to be the top row of the square, the second four positions (indices 4 through 7) to be the second row, the third four positions (indices 8 through 11) to be the third row, and the fourth four positions (indices 12 through 15) as the fourth row, all interpreted from left to right.  Thus, the first position is the upper left corner, the second position the uppermost inside-left cell, the third position the uppermost inside-right cell, the fourth position the upper right corner, the fifth position the leftmost inside-upper cell, the sixth position the inside-upper inside-left cell, and so forth.  This kind of representation also makes things a little easier for us instead of having to recursively deal with a list of lists.
• How do we know whether any permutation of such a list, interpreted as a 4 × 4 square, satisfies our constraints?  We need to add up the values of each row, column, and diagonal and make sure they add up to our target number (in our case, 24).

Starting from this list, I set out to get all the unique permutations.  Originally, I just got all 16! = 20,922,789,888,000 possible permutations, thinking that would be fine, and testing them each for fitting the target number of 24, but after running for twelve hours, and coming up with over 170,000 results with more being produced every few minutes, I realized that I’d probably be waiting for a while.  So, I rewrote the permutation code and decided to get only unique permutations (such that all the 5s in the base list of numbers are interchangeable and therefore equal, rather than treating each 5 as a unique entity).  With that change, the next run of the program took only a short while, and gave me a list of 368 templates.  We’re getting somewhere!

So, for instance, take the last template square that my program gave me, which was the list of numbers [6, 6, 5, 7, 8, 5, 6, 5, 6, 7, 6, 5, 4, 6, 7, 7].  Given that list, we can interpret it as the following template magic square:

 6 6 5 7 8 5 6 5 6 7 6 5 4 6 7 7

And we can populate it with any set of figures that match the point counts accordingly, such as the one below:

 Fortuna Minor Fortuna Maior Puer Laetitia Populus Puella Carcer Cauda Draconis Amissio Albus Acquisitio Caput Draconis Via Coniunctio Rubeus Tristitia

Excellent; this is a totally valid geomantic figure magic square, where the point counts of each row, column, and diagonal add to 24.  To further demonstrate the templates, consider the two images of the figure magic squares I shared at the top of the post.  However, although I was able to find the first magic square given at the start of the post (the green-on-sepia one), the second one (blue with text around it) didn’t appear in the list.  After taking a close look at my code to make sure it was operating correctly, I took another look at the square itself.  It turns out that, because although all the rows and columns add to 24, one of the diagonals adds up to 20, which means it’s not a true geomantic figure magic square.  Welp!  At least now we know.

But there’s still more to find out, because we don’t have all the information yet that we set out to get.  We know that there are 368 different template squares, but that number hides an important fact: some template squares are identical in structure but are rotated or flipped around, so it’s the “same square” in a sense, just with a transformation applied.  It’s like taking the usual magic number square of Saturn and flipping it around.  So, let’s define three basic transformations:

1. Rotating a square clockwise once.
2. Flipping a square horizontally.
3. Flipping a square vertically.

We know that we can rotate a square up to three times, which gets us a total of four different squares (unrotated, rotated once, rotated twice, rotated thrice).  We know that we can leave a square unflipped, flipped horizontally, flipped vertically, and flipped both horizontally and vertically.  We know that a square can be rotated but not flipped, flipped but not rotated, or both rotated and flipped.  However, it turns out that trying out all combinations of rotating and flipping gets duplicate results: for instance, flipping vertically without rotating is the same as rotating twice and flipping horizontally.  So, instead of there being 16 total transformations, there are actually only eight other templates that are identical in structure but just transformed somehow, which means that our template count of 368 is eight times too large.  If we divide 368 by 8, we get a manageable number of just 46 root templates, which isn’t bad at all.

What about total possible figure squares?  Given any template, there are four slots for figures with five points, four slots for figures with seven points, and six slots for figures with six points.  The figures of any given point count can appear in any combination amongst the positions with those points.  This means that, for any given template square, there are 4! × 4! × 6! = 414,720 different possible figure squares.  Which means that, since there are 368 templates, there are a total of 152,616,960 figure squares, each a unique 4 × 4 grid of geomantic figures that satisfy the condition that every column, row, and diagonal must have 24 points.  (At least we’ve got options.)

What about if we ignore diagonals?  The blue magic square above is almost a magic square, except that one of its diagonals adds up to 20 and not 24.  If we only focus on the rows and columns adding up to 24 and ignore diagonals, then we get a larger possible set of template squares, root template squares, and figure squares:

• 5,904 template squares
• 738 root template squares
• 2,448,506,880 possible figure squares

So much for less-magic squares.  What about more-magic squares?  What if we take other subgroups of these squares besides the rows, columns, and diagonals—say, the individual quadrants of four figures at each corner of the square as well as the central quadrant, or the just the corner figures themselves, or the bows and hollows?  That’s where we might get even more interesting, more “perfect” geomantic figure magic squares, so let’s start whittling down from least magic to most magic.  Just to make sure we’re all on the same page, here are examples of the different patterns I’m considering (four columns, four rows, two diagonals, five quadrants, four bows, four hollows, one set of corners):

To keep the numbers manageable, let’s focus on root template square counts:

• Rows and columns only: 738 root templates
• Rows, columns, and diagonals: 46 root templates
• Rows, columns, diagonals, and all five quadrants: 18 root templates
• Rows, columns, diagonals, all five quadrants, bows, and hollows: 2 root templates
• Rows, columns, diagonals, all five quadrants, bows, hollows, and the four corners: 2 root templates

With each new condition, we whittle down the total number of more-magical root templates from a larger set of less-magical root templates.  I’m sure there are other patterns that can be developed—after all, for some numeric magic squares of rank 4, there are up to 52 different patterns that add up to the magic sum—but these should be enough to prove the point that there are really two root templates that are basically as magical as we’re gonna get.  Those root templates, along with their transformations, are:

1. [6, 4, 7, 7, 8, 6, 5, 5, 5, 7, 6, 6, 5, 7, 6, 6]
1. Unflipped, unrotated: [6, 4, 7, 7, 8, 6, 5, 5, 5, 7, 6, 6, 5, 7, 6, 6]
2. Unflipped, rotated once clockwise: [5, 5, 8, 6, 7, 7, 6, 4, 6, 6, 5, 7, 6, 6, 5, 7]
3. Unflipped, rotated twice clockwise: [6, 6, 7, 5, 6, 6, 7, 5, 5, 5, 6, 8, 7, 7, 4, 6]
4. Unflipped, rotated thrice clockwise: [7, 5, 6, 6, 7, 5, 6, 6, 4, 6, 7, 7, 6, 8, 5, 5]
5. Flipped, unrotated: [7, 7, 4, 6, 5, 5, 6, 8, 6, 6, 7, 5, 6, 6, 7, 5]
6. Flipped, rotated once clockwise: [6, 8, 5, 5, 4, 6, 7, 7, 7, 5, 6, 6, 7, 5, 6, 6]
7. Flipped, rotated twice clockwise: [5, 7, 6, 6, 5, 7, 6, 6, 8, 6, 5, 5, 6, 4, 7, 7]
8. Flipped, rotated thrice clockwise: [6, 6, 5, 7, 6, 6, 5, 7, 7, 7, 6, 4, 5, 5, 8, 6]
2. [8, 6, 5, 5, 6, 4, 7, 7, 5, 7, 6, 6, 5, 7, 6, 6]
1. Unflipped, unrotated: [8, 6, 5, 5, 6, 4, 7, 7, 5, 7, 6, 6, 5, 7, 6, 6]
2. Unflipped, rotated once clockwise: [5, 5, 6, 8, 7, 7, 4, 6, 6, 6, 7, 5, 6, 6, 7, 5]
3. Unflipped, rotated twice clockwise: [6, 6, 7, 5, 6, 6, 7, 5, 7, 7, 4, 6, 5, 5, 6, 8]
4. Unflipped, rotated thrice clockwise: [5, 7, 6, 6, 5, 7, 6, 6, 6, 4, 7, 7, 8, 6, 5, 5]
5. Flipped, unrotated: [5, 5, 6, 8, 7, 7, 4, 6, 6, 6, 7, 5, 6, 6, 7, 5]
6. Flipped, rotated once clockwise: [8, 6, 5, 5, 6, 4, 7, 7, 5, 7, 6, 6, 5, 7, 6, 6]
7. Flipped, rotated twice clockwise: [5, 7, 6, 6, 5, 7, 6, 6, 6, 4, 7, 7, 8, 6, 5, 5]
8. Flipped, rotated thrice clockwise: [6, 6, 7, 5, 6, 6, 7, 5, 7, 7, 4, 6, 5, 5, 6, 8]

That second one, for instance, is the root template of that first figure magic square given above (green-on-sepia), unflipped and rotated clockwise twice.  So, with these, we end up with these two root template squares, from which can be developed eight others for each through rotation and reflection, meaning that there are 16 template squares that are super magical, which means that there are a total of 6,635,520 possible figure squares—414,720 per each template—once you account for all variations and combinations of figures in the slots.

That there are 16 templates based on two root templates is suggestive that, maybe, just maybe, there could be a way to assign each template to a geomantic figure.  I mean, I was hoping that there was some way we’d end up with just 16 templates, and though I was ideally hoping for 16 root templates, two root templates is pretty fine, too.  With 16 figures, there are at least two ways we can lump figures together into two groups of eight: the planetary notion of advancing or receding (advancing Populus vs. receding Via for the Moon, advancing Albus vs. receding Coniuncto for Mercury, advancing Fortuna Maior and receding Fortuna Minor for the Sun, etc.), or the notion of entering or exiting figures.  Personally, given the more equal balance of figures and the inherently structural nature of all this, I’m more inclined to give all the entering figures to one root template and all the exiting figures to the other.  As for how we might assign these templates to the figures, or which set of templates get assigned to the entering figures or exiting figures, is not something I’ve got up my sleeve at this moment, but who knows?  Maybe in the future, after doing some sort of structural analysis of the templates, some system might come up for that.

More than that, how could these squares be used?  It’s clear that they’ve got some sort of presence in geomantic magic, but as for specifically what, I’m not sure.  Unlike a geomantic chart, which reveals some process at play in the cosmos, these geomantic squares are more like my geomantic emblems project (and its subsequent posts), in that they seem to tell some sort of cosmic story based on the specific arrangement of figures present within the square or emblem.  However, like those geomantic emblems, this is largely a hammer without a nail, a mathematical and structural curiosity that definitely seems and feels important and useful, just I’m not sure how.  Still, unlike the emblems, figure squares actually have a presence in some traditions of geomancy, so at least there’s more starting off there.  Perhaps with time and more concentrated translation and studying efforts, such purposes and uses of figure squares can come to light, as well as how a potential figure rulership of the sixteen most-magical templates can play with the 414,720 different arrangements of figures on each template and how they feel or work differently, and whether different arrangements do different things.  Heck, there might be a way to assign each of the different combinations of figures on the templates to the figures themselves; after all, 414,720 is divisible by 16, yielding 25,920, which itself is divisible by 16, yielding 1620, so there might be 1620 different figure squares for each of the 256 (16 × 16) combinations of figures.  Daunting, but hey, at least we’d have options.

Also, there’s the weird bit about the target sum of the magic squares being 24.  This is a number that’s not really immediately useful in geomancy—we like to stick to 4 or 16, or some multiple thereof—but 24 is equal to 16 + 8, so I guess there’s something there.  More immediately, though, I’m reminded of the fact that 24 is the number of permutations of vowels in my system of geomantic epodes for most figures.  For instance, by giving the vowel string ΟΙΕΑ (omikron iōta epsilon alpha) to Laetitia, if we were to permute this string of vowels, we’d end up with 24 different such strings, which could be used as a chant specifically for this figure:

ΟΙΕΑ ΟΙΑΕ ΟΕΙΑ ΟΕΑΙ ΟΑΙΕ ΟΑΕΙ
ΙΟΕΑ ΙΟΑΕ ΙΕΟΑ ΙΕΑΟ ΙΑΟΕ ΙΑΕΟ
ΕΟΙΑ ΕΟΑΙ ΕΙΟΑ ΕΙΑΟ ΕΑΟΙ ΕΑΙΟ
ΑΟΙΕ ΑΟΕΙ ΑΙΟΕ ΑΙΕΟ ΑΕΟΙ ΑΕΙΟ

From that post, though, Populus only has a three-vowel string, which can be permuted only six times, but if we repeat that chant four times total, then we’d still end up with 24 strings to chant, so that still works out nicely:

ΙΕΑ ΕΑΙ ΑΙΕ ΕΙΑ ΙΑΕ ΑΕΙ
ΙΕΑ ΕΑΙ ΑΙΕ ΕΙΑ ΙΑΕ ΑΕΙ
ΙΕΑ ΕΑΙ ΑΙΕ ΕΙΑ ΙΑΕ ΑΕΙ
ΙΕΑ ΕΑΙ ΑΙΕ ΕΙΑ ΙΑΕ ΑΕΙ

So maybe 24 is one of those emergent properties of some applications of geomantic magic that could be useful for us.  Perhaps.  It’s worth exploring and experimenting with, I claim.

In the meantime, I’ll work on getting a proper list drawn up of all the templates for the various types of geomantic magic squares—ranging from less magic to more magic—at least just to have for reference for when further studies are or can be done on this.  This is more of a curiosity of mine and not a prioritized topic of research, but at least I know it exists and there’s the potential for further research to be done on it for future times.

# More on Geomantic Epodes and Intonations

One of my colleagues on Facebook, Nic Raven Run of Ravens Hall Press, asked me an interesting question to follow up on my post on epodes for the elements and geomantic figures from the other day.  In that post, I offered a set of single syllables that could be chanted or intoned like a bīja, or “seed syllable” mantra, for each of the four elements based on an obscure geomantic method of interpretation (the BZDḤ technique), which I also extrapolated into a system of single syllable intonations for each of the sixteen geomantic figures.  To that end, here are the two systems I would most likely use in my own practice, one based on the BZDḤ system and one based on strict stoicheia for the elements:

• Hybrid Greek system
• Fire: bi (ΒΙ)
• Air: zu (ΖΥ)
• Water: (ΔΗ)
• Earth: ha (Ἁ)
• Exact Mathēsis system
• Fire: kho (ΧΟ)
• Air: phu (ΦΥ)
• Water: ksē (ΞΗ)
• Earth: thō (ΘΩ)

And their corresponding expansions into the two systems of geomantic epodes using the two systems I would recommend (with the pure elemental epodes in bold text showing their location in the geomantic systems):

Hybrid Greek System (ΒΖΔΗ)
Primary Element
Fire Air Water Earth
Secondary
Element
Fire ΒΙ
BI
Laetitia
ΖΙ
ZI
Puer
ΔΙ
DI
Puella

HI
Carcer
Air ΒΥ
BU
Fortuna Minor
ΖΥ
ZU
Rubeus
ΔΥ
DU
Via

HU
Caput Draconis
Water ΒΗ

Amissio
ΖΗ

Coniunctio
ΔΗ

Albus

Fortuna Maior
Earth ΒΑ
BA
Cauda Draconis
ΖΑ
ZA
Acquisitio
ΔΑ
DA
Populus

HA
Tristitia
Exact Mathēsis System (ΧΦΞΘ)
Primary Element
Fire Air Water Earth
Secondary
Element
Fire ΧΟ
KHO
Laetitia
ΦΟ
PHO
Puer
ΞΟ
KSO
Puella
ΘΟ
THO
Carcer
Air ΧΥ
KHU
Fortuna Minor
ΦΥ
PHU
Rubeus
ΞΥ
KSU
Via
ΘΥ
THU
Caput Draconis
Water ΧΗ
KHĒ
Amissio
ΦΗ
PHĒ
Coniunctio
ΞΗ
KSĒ
Albus
ΘΗ
THĒ
Fortuna Maior
Earth ΧΩ
KHŌ
Cauda Draconis
ΦΩ
PHŌ
Acquisitio
ΞΩ
KSŌ
Populus
ΘΩ
THŌ
Tristitia

What this gets us is a system of single-syllable units that can represent not only the four elements but all sixteen figures.  In addition to being useful for energy work exercises among other magical practices, it also gives us an interesting method of encoding geomantic figures phonetically.  For instance, we could encapsulate an entire geomantic chart based on the four Mother figures, such that e.g. BIZAZIDĒ would be interpreted as Laetitia (BI), Acquisitio (ZA), Puer (ZI), and Albus (DĒ).  Another way we could use these is to encapsulate one of the 256 combinations of figures in two or three syllables: for instance, the combination of Coniunctio (ZĒ) and Acquisitio (ZA) to form Fortuna Maior (HĒ) could be written succinctly as ZĒZA or more fully as ZĒZAHĒ.  There are plenty of ways to extend such a system, ranging from Abulafia-like meditating on the 256 permutations of syllables to using them in geomantic candle magic a la Balthazar Black’s technique.

However, note that each such epode is basically considered a unit; yes, it’s composed of an elemental consonant and a vowel that, although they are inherently based on the Greek notion of planetary associations, can be reckoned as elemental symbols as well, and the combination of them composes a single syllable based on the primary (consonant) and secondary (vowel) elements of the geomantic figures.  What Nic was asking about was an alternative system of epodes: how could we use the elemental epodes to “compose” a geomantic figure in the sense of describing which elements were active and passive?  For instance, we could simply describe Via as BIZUDĒHA since it has all four elements, but how might one represent a figure with one or more passive elements?  Nic suggested a phonetic approach using a system of using two sets of vowels, using open vowels for active elements and close vowels for passive elements.  The system Nic was suggesting would be to effectively use a series of diphthongs to approximate such vowels.

I didn’t like this approach, to be honest.  For one, the reason why I’m using the vowels I’m using (which themselves are a mix of open and close in the systems I suggest) are (a) because the Greek system is particularly amenable to occult works and (b) because I’m relying not so much on phonetics as I am the occult symbolism and correspondences of the letters to the planets and, by those same correspondences, to the elements.  In that framework, diphthongs really mess with the system, because a diphthong involves several vowels which “muddle” the planetary/elemental symbolism that I’m trying to accomplish.  Plus, such a system would necessitate eight distinct but more-or-less balanced vowel sounds, and the Greek alphabet or phonetics isn’t really geared for that.  Now, that said, the idea isn’t a bad one!  However, because I’m not operating from purely phonetic principles, it’s not for me to go along that route.  I encouraged Nic (and I encourage others as well, if there are others to whom this idea is appealing) to explore such a phonetic approach to representing elements and their compositions to form geomantic figure representations.

There are other approaches to creating composed epodes for the geomantic figures, though, which I also discussed with Nic.  The first hunch I had was to simply include or omit the basic letters needed; for instance, if the consonants BZDḤ represent Fire, Air, Water, and Earth respectively, then combinations of those letters would represent the active elements in a figure, and we could fill in the vowels according to the rules of instinctual Arabic methods or the methods of pronouncing Greek generated words from before.  So, Via (with all four elements) would simply be BZDḤ or “bahz-dach”, Amissio (with just Fire and Water) would be BD or “bahd”, Fortuna Maior would be DḤ or “dach”, and so forth.  Populus, however, having no elements active, could be represented through silence, soft breathing, or something else entirely like “hmmmm” (using the notion that the Semitic letter for M, Arabic mīm or Hebrew mem, has its origins in the hieroglyph and word for “water”, which is the dominant element of Populus).  It’s an idea, but one I don’t particularly like, either, as it seems clunky and inelegant to use without regularity or much appeal, especially since the use of Ḥ only really works in Arabic, as we’d just end with a vowel in the Greek system which could be unclear.  We could use the mathētic approach of using ΧΦΞΘ instead, but we can do better than that.

Instead of using consonants, let’s think about a system that just uses the seven pure Greek vowels.  Recall in the systems above from the earlier post that there’s a way to use the Greek vowels, which normally represent the planets, to represent the four elements as well:

In the last row of my mathētic Tetractys, note how we have the four non-luminary and non-Mercury planets each associated to one of the four elements: Mars with Fire, Jupiter with Air, Venus with Water, and Saturn with Earth.  Though this system doesn’t quite match Cornelius Agrippa’s Scale of Four (book II, chapter 7), it does with his broader and more fuller explanations and detailing of the planets earlier in his Three Books of Occult Philosophy (book I, chapters 23 through 29).  Thus, as applied in my exact mathētic system of epodes, we can use Omicron (Mars) for Fire, Upsilon (Jupiter) for Air, Ēta (Venus) for Water, and Ōmega (Saturn) for Earth.  The letters Iōta (Sun), Alpha (Moon), and Epsilon (Mercury) are not used in the exact mathētic system of epodes, but are in the vague hybrid system from before, being a little easier to use and distinguish.

The connection I made for using these vowels was based on another notion I had of arranging the seven planets into the geomantic figures.  In that topic, one could envision taking seven planetary objects (talismans, coins, stones, etc.) and arranging them on an altar in a regular way to represent the graphical forms of the geomantic figures.  The method I gave for doing this was described like this:

Since we want to map the seven planets onto the points of the figures, let’s start with the easiest ones that give us a one-to-one ratio of planets to points: the odd seven-pointed figures Laetitia, Rubeus, Albus, and Tristitia.  Let us first establish that the four ouranic planets Mars, Jupiter, Venus, and Saturn are the most elementally-representative of the seven planets, and thus must be present in every figure; said another way, these four planets are the ones that most manifest the elements themselves, and should be reflected in their mandatory presence in the figures that represent the different manifestations of the cosmos in terms of the sixteen geomantic figures.  The Sun, the Moon, and Mercury are the three empyrean planets, and may or may not be present so as to mitigate the other elements accordingly.  A row with only one point must therefore have only one planet in that row, and should be the ouranic planet to fully realize that element’s presence and power; a row with two points will have the ouranic planet of that row’s element as well as one of the empyrean planets, where the empyrean planet mitigates the pure elemental expression of the ouranic planet through its more unmanifest, luminary presence.  While the ouranic planets will always appear in the row of its associated element, the empyrean planets will move and shift in a harmonious way wherever needed; thus, since the Sun (as the planetary expression of Sulfur) “descends” into both Mars/Fire and Jupiter/Air, the Sun can appear in either the Fire or Air rows when needed.  Similarly, Mercury can appear in either the Air or Water rows, and the Moon in either the Water or Earth rows (but more on the exceptions to this below).

This led us to having the following arrangements:

Note that Via is the only figure that uses only the so-called “ouranic” planets Mars, Jupiter, Venus, and Saturn, because Via is the only figure with all elements active.  All the other figures, having at least one element passive, will involve one or more of the planets Mercury, Sun, or Moon, because those “empyrean” planets mitigate and lessen the elemental presence of the row that they’re found in.  The only major exception to this arrangement is—you guessed it—Populus, which uses a different arrangement entirely.  For more information about how and why these figures are arranged with the planets in the way they are and how they might otherwise be used, see the relevant post on my blog, linked just above.  The terms ouranic and empyrean are a distinction I make in my Mathēsis work to distinguish the twelve non-zodiacal forces into three groups, as demonstrated in this post.

Now, remember that each planet has its own vowel, and note where the planets appear in the arrangements above for each figure.  We can come up with a rule that transforms the figures into sequences of vowels to represent the figures like this:

1. For all figures except Populus:
1. Every row will have either a single ouranic planet (Mars, Jupiter, Venus, Saturn) or both an ouranic and empyrean planet (Moon, Sun, Mercury).
2. If a given elemental row has an empyrean planet present as well as an ouranic planet, use the vowel of the empyrean planet there.
3. Otherwise, if a given elemental row has only an ouranic planet present, use the vowel of the ouranic planet.
2. For the figure Populus:
1. All planets are present in their own arrangement to represent the voids of Populus.
2. Use all the vowels, some mutually-exclusive set, or just keep silent.

Thus, consider the figure Via.  In each row, it only has an ouranic planet, so we simply use their corresponding vowels: ΟΥΗΩ.  For Coniunctio, note how we have two empyrean planets in the figure, the Sun alongside Mars and the Moon alongside Saturn; we would use their corresponding vowels instead of their ouranic equivalents, getting us the vowel string ΙΥΗΑ (Iōta instead of Omicron and Alpha instead of Ōmega).  Likewise, Puer has the empyrean planet Mercury present alongside Venus, so its vowel string would be ΟΥΕΩ (Epsilon instead of Ēta).  The only exception to this would be Populus, as noted above, which could be represented either as the entire vowel string ΑΕΗΙΟΥΩ or as simple, holy silence, but we can talk more about that later.

This gets us the following vowel epodes for the figures:

• Laetitia: ΟΙΕΑ
• Fortuna Minor: ΟΥΙΑ
• Amissio: ΟΙΗΑ
• Cauda Draconis: ΟΥΗΕ
• Puer: ΟΥΕΩ
• Rubeus: ΙΥΕΑ
• Coniunctio: ΙΥΗΑ
• Acquisitio: ΙΥΑΩ
• Puella: ΟΕΗΑ
• Via: ΟΥΗΩ
• Albus: ΙΕΗΑ
• Populus: More on that in a bit.
• Carcer: ΟΙΑΩ
• Caput Draconis: ΕΥΗΩ
• Fortuna Maior: ΙΑΗΩ
• Tristitia: ΙΕΑΩ

What’s nice about this system is that, at least for all the non-Populus figures, we have four vowels that we can intone.  Anyone familiar with the classical Hermetic and Neoplatonic texts and techniques is familiar with how vowel-intoning was considered a pure and sacred practice, and now we can apply it to the figures as well as the planets!  Even better, since each geomantic figure uses a distinct set of vowels, we can permute them in any which way.  Thus, if we wanted to engross ourselves in the world of, say, Laetitia, we could intone all possible variations of its vowel string:

ΟΙΕΑ ΟΙΑΕ ΟΕΙΑ ΟΕΑΙ ΟΑΙΕ ΟΑΕΙ
ΙΟΕΑ ΙΟΑΕ ΙΕΟΑ ΙΕΑΟ ΙΑΟΕ ΙΑΕΟ
ΕΟΙΑ ΕΟΑΙ ΕΙΟΑ ΕΙΑΟ ΕΑΟΙ ΕΑΙΟ
ΑΟΙΕ ΑΟΕΙ ΑΙΟΕ ΑΙΕΟ ΑΕΟΙ ΑΕΙΟ

For each of the non-Populus figures which have four distinct vowels, there are 24 possible permutations of its vowel string, with six permutations that begin with each one of the vowels.  Going through and intoning each permutation could be a powerful meditative practice for each of the figures, and probably especially effective for magical practices, too.

What about Populus?  For that, we have all seven vowels ΑΕΗΙΟΥΩ, and to permute all seven of those would…take a considerably longer time than the other figures (there are 5040 possible permutations).  Though going through all such permutations would also be a powerful practice, there are better ways we can use our time.  For one, what about the sequence ΑΕΗΙΟΥΩ itself?  It’s simple and straightforward, but it doesn’t really reflect the arrangement of planets we use for Populus: note how we have the empyrean planets (Sun, Mercury, and Moon) down the middle with the ouranic planets (Mars, Jupiter, Venus, Saturn) around the sides in a distinctly mathētic pattern.  For this arrangement, we could use the vowel string ΙΟΥΕΗΩΑ: we have Iōta at the beginning, Epsilon in the middle, and Alpha at the end, with the other four vowels in their elemental order interspersed between them, the hot elements Fire and Air in the first half and the cold elements Water and Earth in the second half.  Using this pattern, we could imagine a kind of lightning-bolt descending from the Sun down to the Moon through Mars, Jupiter, Mercury, Venus, and Saturn, a pattern that would take us from the hottest, brightest, most active powers down to the coldest, darkest, most passive powers.

Another way is to use a condensed vowel string: rather than using the ouranic planets’ vowels at all, why not limit ourselves to the empyrean planets, which are only ever used for passive elements anyway in this scheme?  In this reckoning, we could reduce ΙΟΥΕΗΩΑ to ΙΕΑ (reflecting the center empty “gap” of the dots in the figure Populus), just as we commonly figure that the divine name ΙΑΩ is a reduction of the full string ΑΕΗΙΟΥΩ.  Plus, we only ever see the string ΙΕΑ in the (permutations of) the string for the figures that are mostly passive anyway: Laetitia (ΟΙΕΑ), Rubeus (ΙΥΕΑ), Albus (ΙΕΗΑ), and Tristitia (ΙΕΑΩ).  If there were any vowel string that could be considered the inverse of that of Via (ΟΥΗΩ), the mutually-exclusive remaining set of vowels ΙΕΑ would be it!  We could then permute this string in a simple set of six permutations, too:

ΙΕΑ ΕΑΙ ΑΙΕ
ΕΙΑ ΙΑΕ ΑΕΙ

Instead of doing either ΙΟΥΕΗΩΑ or permutations of ΙΕΑ, though, there’s another approach to us: if Populus is devoid of elements, then it has nothing at all, and thus has nothing to intone, so Populus could simply be represented by a pure, holy silence devoid of intonations.  This is also entirely appropriate, and would symbolically make Populus a vacuum of empty space, a blank template upon which the other elements could be applied.  Entirely fitting to represent Populus on its own.

Of course, using that logic, then why would we bother using the empyrean planets’ vowels at all to represent the passive elements in a figure?  We could just stick with the ouranic planets that are active, which would get us the following “short” set of vowel intonations, such as Ο for Laetitia, ΟΥ for Fortuna Minor, ΟΥΗ for Cauda Draconis, and so forth.  Not nearly as elegant, perhaps, but could also work.  I’m not a fan, personally, as it then begins to conflate the elemental presences of the figures with purely planetary ones.  For instance, Laetitia being simply represented by Omicron would then conflate Laetitia with the planet Mars, even though Laetitia is solidly linked to Jupiter, and likewise Rubeus with Upsilon to Jupiter and not Mars.  I wouldn’t recommend this system, personally.

So, where does that leave us?  At this point, there are three systems of epodes I would recommend for working with the geomantic figures, two of which are single-syllable epodes (one based on the BZDḤ system with Greek vowels, and one derived from that same system using a purer stoicheic/mathētic approach), and one of which is based on mathētic principles to come up with intonable, permutable vowel strings.

Figure Single Syllable Vowel String
Hybrid Mathēsis
Laetitia ΒΙ
BI
ΧΟ
KHO
ΟΙΕΑ
Fortuna Minor ΒΥ
BU
ΧΥ
KHU
ΟΥΙΑ
Amissio ΒΗ
ΧΗ
KHĒ
ΟΙΗΑ
Cauda Draconis ΒΑ
BA
ΧΩ
KHŌ
ΟΥΗΕ
Puer ΖΙ
ZI
ΦΟ
PHO
ΟΥΕΩ
Rubeus ΖΥ
ZU
ΦΥ
PHU
ΙΥΕΑ
Coniunctio ΖΗ
ΦΗ
PHĒ
ΙΥΗΑ
Acquisitio ΖΑ
ZA
ΦΩ
PHŌ
ΙΥΑΩ
Puella ΔΙ
DI
ΞΟ
KSO
ΟΕΗΑ
Via ΔΥ
DU
ΞΥ
KSU
ΟΥΗΩ
Albus ΔΗ
ΞΗ
KSĒ
ΙΕΗΑ
Populus ΔΑ
DA
ΞΩ
KSŌ
ΙΟΥΕΗΩΑ or ΙΕΑ
or just keep silent
Carcer
HI
ΘΟ
THO
ΟΙΑΩ
Caput Draconis
HU
ΘΥ
THU
ΕΥΗΩ
Fortuna Maior
ΘΗ
THĒ
ΙΑΗΩ
Tristitia
HA
ΘΩ
THŌ
ΙΕΑΩ

This is all well and good, but where does this actually leave us?  What the past few posts on these tangentially-geomantic topics are accomplishing is taking the sixteen geomantic figures and coming up with new ways to apply them in ways outside of strict divinatory purposes, giving them new media such as sound to be “played” or transmitted through, and using those media to accomplish other tasks.  If the planets can be used for astrology as well as magic, there’s no reason why the figures can’t be used for geomancy as well as magic, either.  The ability to form meditative or magical epodes for concentrating, contemplating, and connecting with the figures on deeper levels plays into the same systems that geomantic gestures or energy centers or altar arrangements do: using these figures for a magical, world-changing purpose instead of a merely predictive one.

By the same token, however, so much of this is highly experimental.  All magic is at some point, but given the novelty and how mix-and-match I’m being between Greek letter magic and geomantic systems, this is all deserving of some deep practice and reflection and refinement.  I’m sharing this on my blog because…well, it’s my blog, and it’s interesting to share my theories here, and to spread some of my ideas out there to get feedback on by those who are interested.  At the same time, so much of all this is just theoretical and musings on how to apply certain ideas in certain ways.  I’m confident I can get them to work, but that’s not a guarantee that they will.  Experimentation and practice is absolutely needed, not only to get my own aims and goals accomplished, but even just to see whether certain methods work at all for anything.

Still, while we’re at it, let’s make up a new practice, shall we?  Let’s say we want to have a formalized way of conjuring up the power of a given figure, such as for some intense contemplation or pathworking.  In my Secreti Geomantici ebook, wherein I talk about lots of different magical practices involving geomancy and geomantic figures, I provide a set of sixteen prayers for each of the figures.  We can use those in combination with the geomantic epodes above to come up with a more thorough invocation of a figure.  The process I have in mind would be to recite the hybrid single-syllable epode as few as four or as many as sixteen times (or as many times as there are points in the figure), recite the given orison of the figure, then permute through its vowel string.  Thus, for Laetitia, we could do the following, while sitting before an image of Laetitia (or an altar of planetary talismans arranged in the form of the figure Laetitia) while holding the geomantic hand gesture of Laetitia:

ΒΙ ΒΙ ΒΙ ΒΙ ΒΙ ΒΙ ΒΙ

Jovian Laetitia, standing tall
Granting hope in the hearts of all
Blazing spirit, o fulgent flame
Flashing brightest, of rousing fame
In our dark minds you spark pure Fire
Calcining spite to high desire
Grand arch of joy, embrace us here
And bring us tidings glad and clear

ΒΙ ΒΙ ΒΙ ΒΙ ΒΙ ΒΙ ΒΙ

ΟΙΕΑ ΟΙΑΕ ΟΕΙΑ ΟΕΑΙ ΟΑΙΕ ΟΑΕΙ
ΙΟΕΑ ΙΟΑΕ ΙΕΟΑ ΙΕΑΟ ΙΑΟΕ ΙΑΕΟ
ΕΟΙΑ ΕΟΑΙ ΕΙΟΑ ΕΙΑΟ ΕΑΟΙ ΕΑΙΟ
ΑΟΙΕ ΑΟΕΙ ΑΙΟΕ ΑΙΕΟ ΑΕΟΙ ΑΕΙΟ

ΒΙ ΒΙ ΒΙ ΒΙ ΒΙ ΒΙ ΒΙ

See?  By coming up with small, individual innovations and extrapolations and translations of one set of symbols from one medium into another, we can start using each on their own effectively, or we can start plugging them in to come up with bigger, better, and more profound practices that can really pack a punch.  Geomancy has every potential and every capability to become a full magical and spiritual practice in its own right that can fit right in with any other Western or Hermetic practice based on their own symbol sets; just because extant literature is lacking on the subject doesn’t mean it can’t be done, after all, and with a bit of thought and ingenuity, there are so many avenues that open themselves up for ready exploration.

One final thought about the use of these vowel epodes: we know that for any non-Populus figure, there are 24 permutations of the vowel string epodes.  So, that makes 15 × 24 = 360.  Which is a…stupidly pleasing number, to be honest.  As we all know, Using this little tidbit, we could conceive of a sort of year-long geomantic practice, focusing on one of the permutations of vowel epodes for the figures per day.  This gives us 15  24-day “months” of figures, with five or six days leftover at the end of the year.  In leap years that have six epagomenal days, we could use the permutations of the short epode ΙΕΑ for Populus; in non-leap years, we could just focus on the whole epode ΙΟΥΕΗΩΑ, or we could just keep silent (perhaps more fitting for epagomenal days).  It’s not entirely balanced in that regard, but it does have its own logic and cleanliness that could make it a viable yearly-daily practice for meditating on the epodes of the figures.  I might expand on this idea at a later point, or perhaps rework my geomantic Wheel of the Year to match it in some sense, but it’s something to mull over for now.  The next leap year isn’t for another year and a half, after all.

# On Geomantic Energy Centers, and the Via Elementorum Exercise

So, the last post on my system of epodes, or bīja/mantra-like intonations, for the elements and geomantic figures, wasn’t originally going to be a post of its own.  It was originally just a small thing that was going to fall within another post on a novel technique of mine, a kind of geomantic energy work, based on a notion of geomantically-derived energy centers in the body.  That topic was brought up earlier this summer in the context of how such a system of energy centers inspired by geomancy could be developed and explored, and I’ve been thinking about how to actually begin working with the subtle energy body in a geomantic way.  The idea is that, based on the Geomantic Adam diagram from MS Arabe 2631, we can posit that there are four main energy centers in the body, each associated with the four elements: a Head center for Fire, a Throat center for Air, a Belly center for Water, and a Groin center for Earth, based on the parts of the body associated with the figures Laetitia, Rubeus, Albus, and Tristitia, which each have only one element active in their (you guessed it) so-called head, neck, belly, and feet lines.

Of course, based on the Geomantic Adam diagram, it could totally be conceived that there are 16 such energy centers in the body, one for each geomantic figure, as indicated according to the diagram.  However, of these, the four primary ones would be those corresponding to the pure-element figures Laetitia, Rubeus, Albus, and Tristitia.  However, for the sake of fullness, here’s where I’d place all such energy centers:

Figure Body Part Energy Center
Rubeus Throat and neck Center of the throat
Puella Left shoulder Upper left chest between shoulder and collarbone
Puer Right shoulder Upper right chest between shoulder and collarbone
Carcer Chest and breast Center of chest cavity by the heart
Amissio Left hand and arm Middle of the palm of the left hand
Acquisitio Right hand and arm Middle of the palm of the right hand
Albus Stomach, upper belly Solar plexus, just under the sternum
Coniunctio Ribcage Sternum
Populus Back Spine between kidneys
Via Intestines, lower belly Just below navel
Tristitia Crotch and genitals Perineum
Fortuna Maior Left hip and upper leg Crease between left buttock and thigh
Fortuna Minor Right hip and upper leg Crease between right buttock and hip
Cauda Draconis Left foot and lower leg Middle of the sole of the left foot
Caput Draconis Right foot and lower leg Middle of the sole of the right foot

Now, most of these are definitely secondary to the purpose of this post, which is to demonstrate a simple energy exercise to work with the primary four energy centers, and honestly, most of these secondary centers are simply conjectural with varying degrees of confidence.  For instance, I’m totally about the placement of the centers for Amissio and Acquisitio as well as Cauda and Caput Draconis and why they’re positioned where they are.  However, for ones like Coniunctio, Carcer, or Populus, I’m much less sure about these.  There’s also the possibility of extending these to other parts of the body, say the orifices of the head or to other major organs in the body, much as there are secondary chakras that connect to the primary seven chakras distributed throughout the body.  However, all these can be explored another time in another post; for the purposes of this exercise, we’ll limit ourselves to the centers for Laetitia, Rubeus, Albus, and Tristitia.

First, before we continue with describing the energy exercise, the practitioner will need to decide on one main thing for their implementation of the exercise.  The first is a set of elemental epodes, bīja-like intonable single-syllable “mantras”.  This is what I discussed in the last post, and what I had to break out of this one, because (as can be seen), it was too big to be just thrown into another topic and really deserved being fleshed out in its own post.  After all, when dealing with such innovations, it really helps to lay out a solid theoretical foundation and expand on the whys and hows and wheres so that, when we begin to involve these new elements of rite and ritual, we can have a good understanding from the get-go about what can be used where and for what purposes.  While I give a whole bevy of possible systems of elemental epodes, there are four I would recommend most to choose from:

• Arabic system
• Fire:  (با)
• Air:  (زا)
• Water:  (دا)
• Earth: ḥā (حا)
• Simple Greek system
• Fire: ba (ΒΑ)
• Air: za (ΖΑ)
• Water: da (ΔΑ)
• Earth: ha (Ἁ)
• Hybrid Greek system
• Fire: bi (ΒΙ)
• Air: zu (ΖΥ)
• Water: (ΔΗ)
• Earth: ha (Ἁ)
• Exact Mathesis system
• Fire: kho (ΧΟ)
• Air: phu (ΦΥ)
• Water: ksē (ΞΗ)
• Earth: thō (ΘΩ)

Personally, because I have a hard time pronouncing the Arabic letter ḥāʾ and because I like using the planetary vowels to extend the system, I prefer to use the hybrid Greek set of, which I also plan on using in the future for the other geomantic figures besides the four pure elemental ones of Laetitia, Rubeus, Albus, and Tristitia.  However, for the purposes of this energy exercise, you can go with a simpler, more straightforward system if you so choose.

Beyond knowing your preferred set of elemental epodes, let’s also establish a few other things:

• The gesture of Laetitia is a hand gesture made with the index finger pressed down into the palm and the thumb covering the index finger, with the other fingers extended.
• The gesture of Rubeus is a hand gesture made with the middle finger pressed down into the palm and the thumb covering the index finger, with the other fingers extended.
• The gesture of Albus is a hand gesture made with the ring finger pressed down into the palm and the thumb covering the index finger, with the other fingers extended.
• The gesture of Tristitia is a hand gesture made with the little finger pressed down into the palm and the thumb covering the index finger, with the other fingers extended.
• The six permutations of the Divine Name: “ΙΑΩ ΑΩΙ ΩΙΑ ΑΙΩ ΙΩΑ ΩΑΙ”.  These are just the six different ways the name ΙΑΩ (ee-ah-ough) can be spelled.  Those who prefer an Arabic flavor can pronounce these using only the three (long) vowels available in standard and classical Arabic: “ĪĀŪ ĀŪĪ ŪĪĀ ĀĪŪ ĪŪĀ ŪĀĪ” (ياو اوي ويا ايو يوا واي).
• There’s a particular Arabic phrase that’s a famous palindrome in Islam: “RABBAKA FAKABBIR”, literally “glorify your Lord”, from the Qur’an 74:3, “‏رَبَّكَ فَكَبِّرْ‎” (you can see it in full vocalized Arabic and hear it cantillated here).  That it’s a palindrome here will work well for our purposes, as well as recalling the Arabic and Divine origins of geomancy.  Of course, if you wanted to Hellenicize it and make it a proper palindrome in a Greek script, I would recommend spelling it as “ΡΗΒΒΑΚΑ ΦΑΚΑΒΒΗΡ”, but this is just a small detail.

Alright!  At this point, we have a a rough set of four main energy centers in the body, a set of intonations, and a set of gestures to use.  With all those at our disposal, we’re now (FINALLY omg) able to describe the actual energetic exercise.  First, let’s try something simple, shall we?  Those who are familiar with the work of Strategic Sorcery’s Jason Miller will be familiar with his well-known primer on magic, The Sorcerer’s Secrets.  In that book, he describes a simple energy practice called the The Pillar and The Spheres, a quick, short, and easy method of getting the subtle energy body cleansed and primed for more powerful work.  I’m using that as my template for the really simple energy exercise that follows:

1. Stand upright with good posture, with the feet shoulder-width apart.  If standing is not possible, sit in a straight-backed chair.  Relax the body, keeping good posture.  Clear the breath and empty the lungs.  If desired, perform a Pillar-like exercise at this point to clear out the central channel, such as that of Jason Miller or my own variant, the Pillar of Heaven and Earth (see this post for more information).
2. Focus the attention on a spot in the middle of your head, behind the forehead, just somewhat above the spot between the ears and behind the eyes.  See an empty sphere at this spot.  Breathe in a hot, dry, upwards-motion, red-colored energy that fills this sphere.  Intone the epode of Fire, seeing the sphere burn brightly, exhaling all air from the lungs.
3. Focus the attention on a spot in the middle of your throat.  See an empty sphere at this spot.  Breathe in a warm, moist, spinning, yellow-colored energy that fills this sphere.  Intone the epode of Air, seeing the sphere whip upon itself, exhaling all air from the lungs.
4. Focus the attention on a spot at the solar plexus, in the soft spot just under the sternum of the upper abdomen.  See an empty sphere at this spot.  Breathe in a cool, wet, downwards-motion, blue-colored energy that fills this sphere.  Intone the epode of Water, seeing water fill and surround this sphere, exhaling all air from the lungs.
5. Focus the attention on a spot at the perineum, at the base of the spine between the genitals and the anus.  See an empty sphere at this spot.  Breathe in a cold, dry, heavy and compressing, dark-colored energy that fills this sphere.  Intone the epode of Earth, seeing rock and soil crack and crystallize through this sphere, exhaling all air from the lungs.
6. Spend a few moments relaxing, maintaining the visualization and manifestation of the four energy centers in the head, throat, belly, and perineum.

Okay, easy enough!  With or without any other preliminary work, such as a Pillar activity or some other practice, this is simple and straightforward enough, and is what I would recommend for a first-attempt by those who would want to start working with a four-primary-center subtle body system within a geomantic contexts.  After getting used to this, we can elaborate on the process a bit and start incorporating other things that we’ve already discussed.  One of the inspirations for this method is something I’ve been doing a while, the Attunement portion of my old Q.D.Sh. Ritual, except here we’re using different intonations and making use of the geomantic gestures in addition to the basic exercise template given above.

1. Stand upright with good posture, with the feet shoulder-width apart.  If standing is not possible, sit in a straight-backed chair.  Relax the body, keeping good posture.  Clear the breath and empty the lungs.
2. Breathe in deeply.  As you draw in breath, visualize a clear beam of pure, cool light shooting down from the infinite heavens above through the crown of your head, through the center of your body, and out from your perineum downwards, clearing out your body of all darkness.  Intone the word “RABBAKA”, exhaling all air from the lungs, visualizing and feeling the beam of light continue shooting down through you.
3. Breathe in deeply.  Visualize a clear beam of powerful, hot light shooting up from the infinite hells below through the perineum, through the center of your body, and out from the crown of your head, stabilizing your body with fortitude.  Intone the word “FAKABBIR”, exhaling all air from the lungs, visualizing and feeling the beam of light continue shooting up through you.
4. Focus the attention on a spot in the middle of your head, behind the forehead, just somewhat above the spot between the ears and behind the eyes.  See an empty sphere at this spot.  Lower your left hand down and out to the side and raise your right hand up and out to the side, making the gesture of Laetitia with both hands.  Breathe in a hot, dry, upwards-motion, red-colored energy that fills this sphere.  Intone the epode of Fire, seeing the sphere burn brightly, exhaling all air from the lungs.
5. Focus the attention on a spot in the middle of your throat.  See an empty sphere at this spot.  Raise both your hands up and out to the sides, making the gesture of Rubeus with both hands.  Breathe in a warm, moist, spinning, yellow-colored energy that fills this sphere.  Intone the epode of Air, seeing the sphere whip upon itself, exhaling all air from the lungs.
6. Focus the attention on a spot at the solar plexus, in the soft spot just under the sternum of the upper abdomen.  Lower your right hand down and out to the side and raise your left hand up and out to the side, making the gesture of Albus with both hands.  See an empty sphere at this spot.  Breathe in a cool, wet, downwards-motion, blue-colored energy that fills this sphere.  Intone the epode of Water, seeing water fill and surround this sphere, exhaling all air from the lungs.
7. Focus the attention on a spot at the perineum, at the base of the spine between the genitals and the anus.  See an empty sphere at this spot.  Lower both your hands down and out to the sides, making the gesture of Tristitia with both hands.  Breathe in a cold, dry, heavy and compressing, dark-colored energy that fills this sphere.  Intone the epode of Earth, seeing rock and soil crack and crystallize through this sphere, exhaling all air from the lungs.
8. Inhale deeply.  Place both hands together at the lowest point they can reach without bending over, palms pressed together.  Slowly raise them outwards and up in a large circular motion separately so that they meet again high up above your head.  Intone the first half of the permutations of the Divine Name “ΙΑΩ ΑΩΙ ΩΙΑ” while doing this, exhaling all air from the lungs.  Visualize the four centers becoming connected along a single path of light upwards from the perineum center up to the head center.
9. Inhale deeply.  Slowly lower the hands outward and down in a large circular motion separately so that they meet again at their lowest point.  Intone the second half of the permutations of the Divine Name “ΑΙΩ ΙΩΑ ΩΑΙ” while doing this, exhaling all air from the lungs.  Visualize the four centers becoming further connected along a single path of light downwards from the head center down to the perineum center.
10. Again focus on the perineum center.  Lower both your hands down and out to the sides, making the gesture of Tristitia with both hands.  Breathe in more Earth energy into this sphere.  Intone the epode of Earth, seeing the energy of the sphere begin to travel up and down the central energy path of the body, exhaling all air from the lungs.
11. Again focus on the solar plexus center.  Lower your right hand down and out to the side and raise your left hand up and out to the side, making the gesture of Albus with both hands.  Breathe in more Water energy into this sphere.  Intone the epode of Water, seeing the energy of the sphere begin to travel up and down the central energy path of the body, exhaling all air from the lungs.
12. Again focus on the throat center.  Raise both your hands up and out to the sides, making the gesture of Rubeus with both hands.  Breathe in more Air energy into this sphere.  Intone the epode of Air, seeing the energy of the sphere begin to travel up and down the central energy path of the body, exhaling all air from the lungs.
13. Again focus on the head center.  Lower your left hand down and out to the side and raise your right hand up and out to the side, making the gesture of Laetitia with both hands.  Breathe in more Fire energy into this sphere.  Intone the epode of Fire, seeing the energy of the sphere begin to travel up and down the central energy path of the body, exhaling all air from the lungs.
14. Breathe in deeply.  As you draw in breath, visualize a clear beam of powerful, hot light shooting up from the infinite hells below through the perineum, through the center of your body, and out from the crown of your head, connecting your energy centers and their elements to all the heavens above and fortifying them with all the hells below.  Intone the word “RABBAKA”, exhaling all air from the lungs, visualizing and feeling the beam of light continue shooting up through you.
15. Breathe in deeply.  As you draw in breath, visualize a clear beam of pure, cool light shooting down from the infinite heavens above through the crown of your head, through the center of your body, and out from your perineum downwards, connecting your energy centers and all their elements to all the hells below and sanctifying them with all the heavens above.  Intone the word “FAKABBIR”, exhaling all air from the lungs, visualizing and feeling the beam of light continue shooting down through you.
16. Spend a few moments relaxing, maintaining the visualization and manifestation of the four energy centers in the head, throat, belly, and perineum, most powerfully located at their respective centers but able to facilitate and flow their respective elements in a balanced and gentle way through the main column of the body and radiating outwards from there, connecting to the cosmos both above and below.

And there you have it!  The only thing left is a fancy name, isn’t it?  How about the Via Elementorum, literally “The Way of the Elements”?  After all, we are essentially making a path for the four elemental powers to radiate from in the body, and the four energy centers, when all fully activated, resemble the four single points in the figure of Via, which means the Road; in a sense, though we’re working with the four elements individually as represented by Laetitia, Rubeus, Albus, and Tristitia, when all four are added, it’s the figure Via that results, the full sum of all elements active together at once.  I would make a corresponding Arabic name, but I don’t really know Arabic; it’d probably be something like Ṭarīq al-ʿAnāṣiri (طَرِيق الْعَنَاصِرِ).  Those who know Arabic are more than welcome to correct this or suggest a better name.

With a geomantic energy exercise like this, it can serve as a foundation for more profoundly exploring the geomantic figures and how they relate to the body, allowing the body a new way to interact with the elements and channeling the powers of the figures, giving us new avenues for exploring geomantic magic, and a whole slew of other things to consider and adapt.  Who knows, this might even get me back on a regular energy work exploration routine, figuring out exactly how far I can take this novel system!  Of course, it is experimental, and modifications and refinements will likely need to be made along the way.  Still, it’s something to start with, and it could be extraordinarily useful even on its own merits.

# On the Elemental and Geomantic Epodes

Ever since I wrote that post about how the physical body can be represented by geomantic figures, I’ve been trying to puzzle something out for myself.  At the end of the post, I introduce the concept of a system of geomantically-derived energy centers in the body based on four centers and four elements: the Fire center in the head, the Air center in the throat, the Water center in the upper belly, and the Earth center at the perineum.  This is based on the Geomantic Adam diagram given in MS Arabe 2631, which divvies up the geomantic figures to the parts of the body in a way that’s untied to any astrological method (which is the usual method used in European and Western geomancies):

In addition to proposing four such energy centers, I also propose three possible sets of intonations based on the obscure BZDH technique from some forms of geomancy, and also suggest that the sixteen geomantic gestures or “mudras” can be used in addition with these to form the basis of a kind of geomantic energy practice.  However, I didn’t really describe any implementation beyond laying these individual parts of such a hypothetical practice down, because I hadn’t yet come up with a way to put the parts together into a whole.  I’ve been puzzling over how to do just that since the post went up earlier this summer.  I mean, it’s not hard to just slap some energy into parts of the body and call it a day, but let’s be honest: I want to do this right and be able to incorporate it into my own practice in a way that’s not harmful, and as we all know by now, it’s just as easy to use energy to make a body awful as much as it can be made awesome.

Now, I was originally going to just write a post about a more-or-less solid energy practice that uses four energy centers in the body, one for each of the four elements.  I’m still going to write that post, because I already started it, but I realized that there’s a significant chunk of it that needs to be clarified in its own post, because there’s a number of options one might choose for it with different bits of logic and arguments for and against each choice.  This section kept growing and growing, and it eventually dwarfed the actual point of the post itself, so I decided to get this bit out of the way first, especially since I’ve already introduced the topic when I brought up the notion of a geomantic energy practice to begin with.

For me in my magical practice, the spoken word is important, especially when it comes to things that are intoned, such as barbarous words or particular chants.  For instance, the seven Greek vowels are absolutely vital to my work, because each vowel is associated with one of the seven planets.  In fact, each of the letters of the Greek alphabet has its own spiritual associations to the planets, signs of the Zodiac, and elements.  It’s the elemental letters that are the focus here now: if I wanted to intone a special word to attune myself to the power of an element just like how I’d intone a vowel to attune myself to the power of a planet, what would I use?  I can’t really intone a consonant, so I invented special “power words” for the four elements by taking the corresponding consonant for the element, intoning ΙΑΩ, and ending with the consonant again, as below:

• Fire: ΧΙΑΩΧ (KHIAŌKH)
• Air: ΦΙΑΩΦ (PHIAŌPH)
• Water: ΞΙΑΩΞ (KSIAŌKS)
• Earth: ΘΙΑΩΘ (THIAŌTH)

This method works, but to be honest, I’ve never really liked it.  It’s always felt kind of imbalanced and inelegant, especially compared to some of the more refined barbarous words of power or the simplicity and clearness of the vowels for the planets.  When I first started thinking of what I could intone for a geomantic energy practice, my routine use of these words first came up, but I quickly remembered that there are other options available to me besides just this.  All I need to find is some appropriate, elegant system of four words for intoning for the sake of attuning to the four elements.

Also, what am I calling this particular type of power word, anyway?  These are small, usually single-syllabled things to intone or chant to attune with a particular force.  I suppose that these are barbarous names of a sort, but the fact that they’re so easily constructed doesn’t seem quite appropriate to call them “barbarous”.  The closest thing I can think of are bīja, which is a Sanskrit term meaning “seed”, but referring to single syllable mantras that can be intoned and thought of as encapsulating or emanating particular elements or powers.  Think of the syllables oṃ, dhīḥ, hūṃ, or other single-syllable such mantras found in tantric Buddhism or Hinduism.  These are powerful syllables and contain some aspect of the cosmos or dharma in their own right, and many deities, bodhisattvas, buddhas, and other entities or powers have their own bījas.  That’s a good concept and term for this, but I can’t think of any Western or non-Sanskrit term to call them, like how we might have “chant” or “orison” for the word mantra, “gesture” for mudra, or “energy center” for chakra.  Since I like having Greek-based terms, here are a few I would think are appropriate:

• Odologue, which could come either from ᾠδόλογος ōidólogos meaning “song-word” or, alternatively, ὁδόλογος hodólogos meaning “road-word”, and either Greek word could be used here.  Odology, after all, can refer to “the study of the singing voice” or “the study of roads and paths”, and considering the purpose and use of these bīja-like words,
• Rhizophone, from Greek ῥιζόφωνη rhizóphōnē, literally meaning “root sound”.  This is about as close a calque to bīja as I could think, helpfully suggested by Kalagni of Blue Flame Magick (who has a new website now, go update your RSS readers and links!).
• Epode, which is simply the Greek word ἐπῳδή epōidé, meaning “song sung to something”, and more figuratively an enchantment, charm, or spell.  Unlike odologue or rhizophone, epode is actually a known word, both in Greek and in English, and though it can be used more broadly for spells or charms in general, the notion of something being sung here is important, which is basically intonation.  Though I like the above two words, let’s be honest: epode here is probably the best to go with.
• There are other words used in Greek to refer to magic spells or charms, like kḗlēma or thélktron or other words, so we can reserve “epode” for what are basically mantras.
• “Epode” could be used to give a useful Greek translation of “mantra” generally, as opposed to just bīja syllables, which are themselves considered single-syllable mantras.  For this, “root epode” or “small epode” could be used to clarify single-syllable epodes.
• Likewise, “epode” wouldn’t necessarily be of the same type of word as “names”, ὀνόματα onómata, referring to the barbarous words of power that may simply be spoken, shouted, or intoned depending on the situation.  Plus, the barbarous names themselves aren’t usually constructed, patterned after anything, or even understood as having distinct or intelligible meanings.

So, what we’re doing here is coming up with elemental epodes, simple words that can be intoned or sung to attune or call down the forces of the elements, just how the intonation of the seven Greek vowels can do the same for the planets.  In fact, those vowels, when sung in a magical way, would become epodes in their own right.

Anyway, back to the topic at hand.  One straightforward option is to just use the Arabic or Greek words for the four elements themselves as things to intone:

• Arabic:
• Fire: nar (نار, pronounced “nahr”)
• Air: hawa’ (هواء, pronounced “HAH-wa” with a sharp stop in the throat)
• Water: ma’ (ماء, pronounced “ma” with a sharp stop in the throat)
• Earth: turab (تراب, pronounced “tuh-RAHB”)
• Greek:
• Fire: pũr (πῦρ, pronounced “pür” like with the German ü or French u, or as “peer”)
• Air: aḗr (ἀήρ, pronounced “ah-AYR”, smoothly without a stop in the sound)
• Water: húdōr (ὕδωρ, pronounced “HEE-dohr” or “HÜ-dohr”, again with that German/French sound)
• Earth: gē̃ (γῆ, pronounced “gay”)

However, I’m not a fan of doing this.  For one, the words themselves aren’t necessarily important if the resonance and link between what’s uttered/intoned and what’s being connected with is strong.  Here, all I really have to go is the semantic meaning of the words.  Plus, I don’t like how some of them are two syllables and others only one, and they all feel inelegant in some of the same ways as my *ΙΑΩ* words from above.  So, while the words for the elements could be used, it’s not one I’d like to use.

And no, I won’t use Latin or English for such things, either.  I don’t hold either to be a very magical language like how I’d hold Greek or Hebrew or Arabic, largely due to the lack of meaningful isopsephy/gematria or stoicheia of the letters for the Roman script common to both Latin and English.  I also didn’t list Hebrew here because, for the sake of my energy work, I largely focus on Greek stuff (for the Mathēsis side of things) or Arabic (for the geomantic side), and Hebrew doesn’t fit into either category.

However, there is another option for coming up with an intonation that is rooted in geomantic practice: the BZDH (or BZDA) technique.  This is a little-known technique in Western geomancy that seems to have had more use in Arabic geomancy.  As I said in the earlier post about the geomantic figures and the human body:

From my translation of the 15th century work Lectura Geomantiae:

By the Greek word “b z d a” we can find the house of the figures, which is to say in which house the figures are strongest, wherefore when the first point starting from the upper part of the beginning figure is odd, the second house is strong; when the second point is odd, the seventh house is strong; when the third point is odd, the fourth house is strong; when the fourth and last point is odd, the eighth house is strong. Thus we will find by this number the proper houses of the figures; by “b” we understand 2, by “z” 7, by “d” 4, by “a” 8, as in this example: “b z d a”.

This may not make a lot of sense on its own, but compare what Felix Klein-Franke says in his article “The Geomancy of Aḥmad b. `Alī Zunbul: A Study of the Arabic Corpus Hermeticum” (AMBIX, March 1973, vol. XX):

The best taskīn is that of az-Zanātī; it bears the key-word bzdḥ: according to the principle of Gematria, the transposition of letters of a word into numbers, in place of bzdḥ there result the numbers 2748. Thus the Mansions of the taskīn are indicated; each spot denotes one of the four elements; in the 2nd Mansion there is only the element Fire (Laetitia, ḥayyān), in the 7th Mansion only Air (Rubeus, ḥumra), in the 4th Mansion only Water (Albus, bayāḍ), and in the 8th Mansion only Earth (Cauda Draconis, rakīza ẖāriǧa).

Stephen Skinner clarifies this even further in his works on geomancy.  From his 1980 book “Terrestrial Astrology: Divination by Geomancy”:

Further specialized configurations or taskins are outlined together with mnemonics for remembering their order. Gematria, or the art of interpreting words in terms of the total of’ the numerical equivalents of each of their letters, is introduced at this point. Using the mnemonic of a particular taskin such as Bzdh, Zunbul explains that the letters represent the four Elements, in descending order of grossness. Each letter also represents a number in Arabic, thus:

b – 2 – Fire
z – 7 – Air
d – 4 – Water
h – 8 – Earth

This mnemonic therefore indicates House number 2 for Fire, House number 7 (Air), House number 4 (Water), and House number 8 (Earth). For each of the Houses indicated in this taskin, we see that the second is most compatible with Fire, the seventh with Air, and so on. Therefore, if the geomantic figure Laetitia (or in Arabic Hayyan), which is solely Fire, occurs in the second House, this would be. an extremely favourable omen. Likewise, the occurrence of Rubeus (or Humra), which is solely Air, in the seventh House would also be extremely auspicious. Further chapters are devoted to even more complicated combinations of the basic figures, and to labyrinthine rules for everything from marriage to medicine. Diagnosis by raml even became a lay rival of the latter, and tables were educed of the relationship between specific parts of the body and the geomantic figures.

In other words, based on these letters, we could intone a particular sound that starts with the letter “b” for Fire, “z” for Air, “d” for Earth, and “ḥ” (think of the guttural “ch” of German, but further back in the throat).

So, in this technique, we have four consonants that correspond to four elements.  We could use this BZDH technique to use these four consonants, each associated with one of the four elements according to an obscure technique in Arabic and early Western geomancy, to create a simple, clear syllable for each element when paired with a simple long vowel:

• Arabic method:
• Fire:  (با)
• Air:  (زا)
• Water:  (دا)
• Earth: ḥā (حا)
• Greek method:
• Fire:  (ΒΗ)
• Air:  (ΖΗ)
• Water:  (ΔΗ)
• Earth:  (Ἡ)
• Latin method:
• Fire: ba
• Air: za
• Water: da
• Earth: a

Note that I’m largely using the “ah” sound a lot for these.  For one, in Greek, this is the vowel Alpha, which is associated with the Moon, which is one of the planets closest to the sphere of the Earth and which is one of the planets most aligned with the element of Earth.  Additionally, this would be represented in Arabic with the letter ‘Alif, which has the form of a straight vertical line, much like the geomantic figure Via (or Tarīq using its Arabic name), which is also a figure associated with the Moon and which is important as it contains all four elements; in this case, the “ah” sound would be most aligned to that of the powers of geomancy as a whole, I would claim.  Note, also, how the Latin transcription of ḥ (to represent the element Earth) turned into “a”; if you wanted to think of geomancy as primarily being an oracle of Earth (which is a claim I take some issue with), then the “ah” sound would indeed be closest for phonologically working with the elements from a geomantic perspective and from our worldly, manifest basis.  Yet, we’re using Ēta for the Greek method given above; for one, this is because there’s no distinct vowel for “long a”, but “long e” is a close-enough approximation.  Using ΒΑ, ΖΑ, ΔΑ, and Ἁ for them would work as well, but using Ēta is also acceptable in this case.

Now, remember that these four consonants are used because they have their origins in being specifically labeled as elemental in the original geomantic technique from whence they come due to their numerological (gematria or isopsephic) significance. The mnemonic BZDḤ was used based on the numerological values of those letters in Arabic: bāʾ for 2, zāy for 7, dāl for 4, and ḥāʾ for 8.  Interestingly, these same consonants were used in the European version of the technique as BZDA (with A replacing Ḥāʾ, though it makes more sense to consider it H) even though it’s not technically the letters that were important, but their numerical equivalents.  If we were to simply go by their numerological (or numeric order) basis, then we should use ΒΔΗΘ for Greek or BDGH for Latin.  I suppose that one could use these letters instead for the BZDH technique-based intonation syllables, but I feel like using the original BZDH (or BZDḤ) is truer to the elements themselves, though the true Greek system could also work given their stoicheic meanings: Bēta associated with the Fire sign Aries, Delta associated with the Air sign Gemini, Ēta (used consonantally as an aspiration/aitch letter) representing the planet Venus which can be associated with the element of Water, and Thēta associated with the element of Earth itself.  So, one could also use a Greek ΒΔΗΘ system like this (using Ēta below, but again, Alpha would also work):

• Fire:  (ΒΗ)
• Air: (ΔΗ)
• Water: (Ἡ)
• Earth: thē (ΘH)

Or a Latin BDGH system as:

• Fire: ba
• Air: da
• Water: ga
• Earth: ha

Again, I’m not a fan of using Latin generally, but I can see an argument for using a BDGH system here because it’s not really words, isopsephy, or stoicheia here that are necessarily important.  However, if we were to use Greek isopsephy for determining which letters to use to represent the four elements for a Greek ΒΔΗΘ system, why not use the Greek stoicheia for them, instead?  It breaks with why we were using numbers to begin with, but we already know the letters Khi, Phi, Ksi, and Thēta work quite well for the four elements themselves, so if we were taking a purely elemental approach, it seems more proper to just use the elemental letters instead of the numerologically-appropriate letters and their natural vowels (specifically their long versions to keep with the theme of using long vowels for the epodes):

• Fire: khei (ΧΕI)
• Air: phei (ΦΕI)
• Water: ksei (ΞΕI)
• Earth: thē (ΘH)

There are definitely arguments for the use of the stoicheically-appropriate letters (ΧΦΞΘ) over the others, or the isopsephically-appropriate ones (ΒΔΗΘ), or the transliterated Arabic ones (ΒΖΔΗ).  In a more Mathēsis-pure approach, I’d probably go with the stoicheic letters, but in this particular case, I’d recommend most the transliterated Arabic ones, because that set of letters ties this energy practice closest to the original geomantic technique.  I suppose experimentation would show which is best, but I’m most comfortable sticking with the BZDH technique.

However, even using the BZDH technique as a foundation for this, an interestingly extensible system of syllables can also be devised where the BZDH technique of using different consonants is mixed with using Greek vowels that were similar enough in element to those four consonants.  For this mashup, I used my Mathēsis understanding of the planets and their positions on the mathētic Tetractys or the planetary arrangement for the geomantic figures to get vowels for the elements, and settled on using Iōta (Sun) for Fire, Upsilon (Jupiter) for Air, Ēta (Venus) for Water, and Alpha (Moon) for Earth.  Though Mars would be more appropriate for Fire and Saturn for Earth, their corresponding vowels are Omicron and Ōmega, which may not be distinct enough for this purpose, as I feel like it should be, so I made a sufficiently-acceptable substitution to use the Sun for Fire instead of Mars, and the Moon for Earth instead of Saturn.

What’s nice about combining the BZDH technique with the planetary vowels is that we can mix and match both systems and, using our system of primary and secondary elements of the figures, get a distinct epode not only for the four elements but also for each of the sixteen geomantic figures, which can be extraordinarily useful in its own right for other magical and meditative purposes.  (And here I thought that little innovation of mine was no more than “a few sprinkles on the icing of the cake of Western geomancy” when it’s come in use time and time again!)  So, let’s see about making such a full system for all sixteen figures using the three competing Greek systems (Transliterated ΒΖΔΗ, Isopsephic ΒΔΗΘ, Stoicheic ΧΦΞΘ):

Transliterated ΒΖΔΗ System
Primary Element
Fire Air Water Earth
Secondary
Element
Fire ΒΙ
BI
Laetitia
ΖΙ
ZI
Puer
ΔΙ
DI
Puella

HI
Carcer
Air ΒΥ
BU
Fortuna Minor
ΖΥ
ZU
Rubeus
ΔΥ
DU
Via

HU
Caput Draconis
Water ΒΗ

Amissio
ΖΗ

Coniunctio
ΔΗ

Albus

Fortuna Maior
Earth ΒΑ
BA
Cauda Draconis
ΖΑ
ZA
Acquisitio
ΔΑ
DA
Populus

HA
Tristitia
Isopsephic ΒΔΗΘ System
Primary Element
Fire Air Water Earth
Secondary
Element
Fire ΒΙ
BI
Laetitia
ΔΙ
DI
Puer

HI
Puella
ΘΙ
THI
Carcer
Air ΒΥ
BU
Fortuna Minor
ΔΥ
DU
Rubeus

HU
Via
ΘΥ
THU
Caput Draconis
Water ΒΗ

Amissio
ΔΗ

Coniunctio

Albus
ΘΗ
THĒ
Fortuna Maior
Earth ΒΑ
BA
Cauda Draconis
ΔΑ
DA
Acquisitio

HA
Populus
ΘΑ
THA
Tristitia
Stoicheic ΧΦΞΘ System using Vague Elemental Vowels
Primary Element
Fire Air Water Earth
Secondary
Element
Fire ΧΙ
KHI
Laetitia
ΦΙ
PHI
Puer
ΞΙ
KSI
Puella
ΘΙ
THI
Carcer
Air ΧΥ
KHU
Fortuna Minor
ΦΥ
PHU
Rubeus
ΞΥ
KSU
Via
ΘΥ
THU
Caput Draconis
Water ΧΗ
KHĒ
Amissio
ΦΗ
PHĒ
Coniunctio
ΞΗ
KSĒ
Albus
ΘΗ
THĒ
Fortuna Maior
Earth ΧΑ
KHA
Cauda Draconis
ΦΑ
PHA
Acquisitio
ΞΑ
KSA
Populus
ΘΑ
THA
Tristitia

Note that in the ΧΦΞΘ system below, instead of using Iōta for Fire and Alpha for Earth (as given in the “vague elemental vowels” table immediately above), I went with Omicron for Fire and Ōmega for Earth because, well, if we’re going to go all the way and stick solely to using stoicheically-appropriate consonants, it makes sense to follow through and stick to using the most precisely, stoicheically-appropriate vowels. However, it breaks with the other systems here, so while this is perhaps the most suited to a pure Mathēsis or purely-Western approach, it doesn’t fit with any of the others and it makes a total break with any BZDH system we have.  Additionally, the similarity between Omicron and Ōmega here can cause some confusion and difficulty for those who aren’t precise with their pronunciations, even if the system is precisely correct as far as stoicheia goes.

Stoicheic ΧΦΞΘ System using Exact Elemental Vowels
Primary Element
Fire Air Water Earth
Secondary
Element
Fire ΧΟ
KHO
Laetitia
ΦΟ
PHO
Puer
ΞΟ
KSO
Puella
ΘΟ
THO
Carcer
Air ΧΥ
KHU
Fortuna Minor
ΦΥ
PHU
Rubeus
ΞΥ
KSU
Via
ΘΥ
THU
Caput Draconis
Water ΧΗ
KHĒ
Amissio
ΦΗ
PHĒ
Coniunctio
ΞΗ
KSĒ
Albus
ΘΗ
THĒ
Fortuna Maior
Earth ΧΩ
KHŌ
Cauda Draconis
ΦΩ
PHŌ
Acquisitio
ΞΩ
KSŌ
Populus
ΘΩ
THŌ
Tristitia

deep breath

Okay.  So, that’s all a lot of tables and lists and examples and options to pick from, all of which are nice and all, but where does that leave us?

What we wanted to come up with was a set of four simple intonable syllables—our “epodes”—to work with the four classical elements of Fire, Air, Water, and Earth, much as how we have the seven Greek vowels to work with the seven traditional planets.  While a straightforward option would be to simply intone the words for the elements themselves, we can use an obscure geomantic technique that gives us four consonants to reflect the four elements, which we can then intone by adding a vowel to it.  However, we can make variants of this system based on how far we want to take the logic of why we have those four consonants to begin with, even going so far as to come up with a set of sixteen epodes for each of the geomantic figures.  These geomantic epodes work within the same overall system because the geomantic figures are compositions of the four elements, and the figures Laetitia, Rubeus, Albus, and Tristitia are the geomantic figures that represent single elements unmixed with any other, which is a fact I’ve been able to use before for coming up with gestures for the four elements using the same logic.

Now, because of all the possibilities of what script to use (Arabic, Greek, Roman), what consonants to use (BZDH or the script-appropriate variants based on numerical order within that script’s alphabet), and what vowels to use (the “ah” sound, Ēta for Greek variants, or using stoicheically-appropriate vowels based on the planetary affinities towards the elements), we end up with quite a few different options for our elemental epodes:

Fire Air Water Earth
Words Arabic نار
nar
هواء
hawa’
ماء
ma’
تراب
turab
Greek πῦρ
pũr
ἀήρ
aḗr
ὕδωρ
húdōr
γῆ
gē̃
Latin ignis aer aqua terra
ΙΑΩ Names ΧΙΑΩΧ
khiaōkh
ΦΙΑΩΦ
phiaōph
ΞΙΑΩΞ
ksiaōks
ΘΙΑΩΘ
thiaōth
Transliterated Arabic با
زا
دا
حا
ḥā
Greek
Ēta
ΒΗ
ΖΗ
ΔΗ

Greek
Alpha
ΒΑ
ba
ΖΑ
za
ΔΑ
da

ha
Roman BA ZA DA A
Isopsephic Greek
Ēta
ΒΗ
ΔΗ

ΘH
thē
Greek
Alpha
ΒΑ
ba
ΔΑ
da

ha
ΘΑ
tha
Roman BA DA GA HA
Hybrid Transliterated ΒΙ
bi
ΖΥ
zu
ΔΗ

ha
Isopsephic ΒΙ
bi
ΔΥ
du

ΘΑ
tha
Mathēsis Natural
Vowels
ΧΕΙ
khei
ΦΕΙ
phei
ΞΕΙ
ksei
ΘΗ
thē
Vague
Vowels
ΧΙ
khi
ΦΥ
phu
ΞΗ
ksē
ΘΑ
tha
Exact
Vowels
ΧΟ
kho
ΦΥ
phu
ΞΗ
ksē
ΘΩ
thō

See now why I had to break all this out into its own separate post?

Originally, I was using the ΙΑΩ-based epodes, but I never really liked them, especially compared to all the other elegant options we have now based on the BZDH technique or its variants.  Of course, we have quite a few options now, and there are plenty of arguments for and against each one.  Here’s what I recommend based on your specific approach:

• If you’re using a strict Arabic or classically “pure” geomantic system apart from planetary or other concerns and want to stick to the root of geomancy as much as possible, despite any other advantages out there from the other systems, use the Transliterated BZDH system, most preferably the Arabic system (bā/zā/dā/ḥā) or the Greek-Alpha system (ΒΑ/ΖΑ/ΔΑ/Ἁ), depending on how good your pronunciation skills at pharyngeal consonants are.
• If you’re using a purely Greek system that wants to use the advantages of the stoicheia of the Greek alphabet as much as possible, use the Mathēsis system with exact vowels (ΧΟ/ΦΥ/ΞΗ/ΘΩ).
• If you’re a general Western geomancer with no particular leanings towards or against any particular niche, use the Hybrid system with transliterated consonants (ΒΙ/ΖΥ/ΔΗ/Ἁ).  This would be considered the middle approach between the two extremes of “original root source” and “Mathēsis-only stoicheia please”, and is probably appropriate for the largest number of people given its ease of use and pronunciation.

Likewise, for the use of the geomantic epodes:

• If you want a more general use, go with the Transliterated ΒΖΔΗ System.
• If you want a specialized mathētic use, go with the Stoicheic ΧΦΞΘ System with exact vowels.

Of course, given all the options above, there’s plenty of room for experimentation, and I’m sure one could extend the logic of the BZDH system (whether through transliteration, isopsephy, or stoicheia) even further and combining it with other vowel systems to come up with more options, or there would be still other ways to come up with elemental epodes (and maybe even geomantic epodes, as well) that aren’t based on the BZDH or ΧΦΞΘ systems!  As with so much else with geomantic magic, there’s so much to experiment and toy with, because it’s such a fertile and unexplored field of occult practice, so if you want to experiment with these or if you have other systems you use, I’d love to hear about them in the comments!