The Sum of Creation: Squares and the Additional Mathematics of Enochian

Reflecting on the Enochian system of John Dee & Edward Kelley, the numerical component has always been of interest to me. In particular, the elements strongly reflect the meaning of squares, which can be thought of as the unfolding (as in the mathematical product of two numbers being a pure, Divine form of Creation). This is especially important with the number 19, which is the square root of 361, which seems to represent the number of degrees of a circle or a sphere, plus the center. (Note that the idea of the heavenly sphere(s) is very common in ancient and medieval thinking). As I’ve mentioned in previous posts, 19 is also the sum of the number of signs of the zodiac (itself falling along the 360° ecliptic), plus the 7 planets (whose motion around the zodiac is the subject of astrology).

A shape related to the circle in ancient and medieval thinking is the square. One question that perplexed mathematicians was how to square the circle, which is to say how to create a square with the appropriate side length such that its area would match that of a circle of a given radius. This is quite difficult because one must take the square root of pi (today, of course, is Pi Day) to do so. A square can also be thought of as a self-referential product; a side times itself creating an area (square numbers got their name from the same concept; a square of side length n has an area of n*n).

This idea can be extended to the concept of another product, which is to say all of Creation by the Divine. As we shall see, the squares are integral (heh) to Enochian, but we must consider in advance which numbers may be important, and how far this concept may go. One can make a parallel (ah, how language recapitulates mathematics again!) to the number of days of Creation in the book of Genesis, which is to say, seven, and which is explicitly blessed as holy. Seven is of course a number integral to Enochian, with its Heptarchy and its 49 by 49 (7^2 by 7^2) tables in the book of Liber Loagaeth (more properly called Amzes Naghezes Hardeh). Before continuing, I’ll make the aside that the idea of numbers as being integral to Creation is paralleled in Pythagoreanism (and, I’m sure, many other traditions which I am not aware of). I can’t claim to be an expert on Pythagoreanism, nor of course to the be-all, end-all of the esoteric traditions it’s influenced (the SHWEP is working on that difficult project!), but it’s fair to say that the idea of The One being a Creator of all numbers is important; this concept of the Unity of the Divine is common to Judaism and Islam.

Christianity has this idea but complicates it somewhat with the concept of the Trinity; (Pythagoreanism also held the number three to be very important); because Enochian is in the Christian tradition, the number three will be a guide, but also the number seven, again, as the number of days of Creation. We should also again keep in the back of our minds Matthew 20:16: “The last will be first, and the first will be last,” and consider the possibility of reversal and, by extension, doubling.

The first square integer is 1^2 = 1, the next is 2^2=4, and the next is 3^2 = 9. Together, these sum to 14 = 7 + 7, as if we have gone the length of creation, seven, and then back again. This will be of interest later.

Next three squares (16, 25, & 36) total 77 (the number of times we are to forgive our brother—that or 7*7 = 490), and here we have a palindrome of a number, and repeating the seven again. Together the first six squares total 91, which is the number of Parts of Earth in the Watchtowers, and 7 * 13 as with Christ and his apostles (and Israel and his sons) multiplied by the holy number of 7, in addition to being the reverse of 19.

We can pause here to note that adding the next square of 7^2 = 49 to this–which is to say, the sum of the first seven squares–gives us 140, reflecting the sum of the first three squares again.

Yet continuing with triads of squares, we can sum the three squares of 49, 64, & 81, which sum to 194, which is the number of pages of Liber Loagaeth (front and back), 98, plus the number of pages of the Book of Silvered Leaves, 96.

The next three squares, 100, 121, & 144 sum to 365, the number of days of the year. Finally, we come to the next two squares 13^2 (169) + 14^2 (196) = 365 again. It’s as if we’ve gone from 7 days of the week and back through the trinity, and, in following that first sum of creation, we’ve gone through the 365 days of the year and back again as well.

Summing the first 14 squares, we come to 1015, the digits of which sum to 7. Interestingly, summing the first 14 numbers themselves comes to 105, the number of letters on the last leaf of Liber Loagaeth (dwarfed by those on any of the rest of the leaves, to be sure!). It’s as if the divine unity (1) comes through as a digit via the process of Creation. Both 105 and 1015 are evenly divisible by 35, yielding 3 and 29, respectively, seeing the Trinity coming through again; 29 comes through repeatedly in a previous post.

It’s here that the pattern of triads seems to end, yet we have another sum of squares through 21. 21^2 = 441 is already important on its own in Enochian as both the sum of the numbers in the cells around the Sigillum Dei Aemeth (440 plus 1 for the unity of the Divine as explained by the Archangel Michael) and the number of cells with individual letters on Leaf 1b (9 rows * 49 columns). The sums of squares 1^2 + 2^2 + … 20^2 + 21^ 2 = 1202, which is 1 or 2 more letters than the (main) letters on later leaves of Liber Loagaeth (e.g., Leaf 30b, Glonz alnoptd, & 31a, Gemnarv Hvncol). Or, if one doubles this number to 2404, then it is 3 more than the letters from a table on one of the earlier pages.

Looking again to the sum of squares through 28, we see the total is 7714; through 35, we come to 14910. The patterns seem to end approximately here, but, of course, the reader is encouraged to reach out if they find additional robust patterns.

A Solution to Liber Loagaeth, Part 9

Lest any of you feel I’m slipping on my obsession with numbers, it occurred to me to consider the numerological significance of Amzes Naghezes Hardeh, AKA Liber Loagaeth.

I started with some of the obvious numbers which appeared over and over again: 7, its square 49, its square 2401, then the number 9, the number 40 (significant in Enochian as the difference between 49 and 9, as well as the number of cells in the outer ring of the Sigillum Dei Aemeth, and of course biblically), the number 21, the number 19, and their relationships. This squaring and re-squaring got me thinking of the Pythagorean theorem, and more generally the distance formula in n-dimensional space. It occurred to me to just try some of these numbers in 3D and see what is left over.

40*40=1600, 21×21 = 441. This, assuming a three-dimensional Pythagorean theorem: 49^2 = 40^2 + 21^2 + 360. Thus Enochian seems to subtly suggest a mystical answer to the idea of squaring of the circle. What is this circle? I consider it to be the heart. 360 can be reduced to 10*(6^2), and there’s a slight suggestion to Enochian being the means to bridge 7, 8 (via 40 and the black cross, which has four names of God, twice each), 9, & 10, which reminds me of‘s review of the Ogdoad Reveals the Ennead. Once again we see the importance of the circle, the center, the use of seven astrological planets (and today, septiles) to achieve the transcendent. Enochian thus seems to suggest how to reach not only the sphere of the fixed stars from lowly planet Earth, but also how to level up and out (e.g., from 1-digit integers to 2-digit but thus metaphorically) and also in (to the center).

This concept can be extended or doubled by replacing 21 with 9: 49^2 = 40^2 + 9^2 + 720, or 360*2.

The number 19 seems like it should be relevant, since it sums with 21 to 40, it is the length of the side of the inner square to a leaf (11a, to leaf 10b’s inner square length 21), and the title of the book is 19 letters long:

49^2 = 40^2 + 19^2 + 440.

Note that when Dee created the SDA, there was an errant cell, the infamous y/14 cell, which would have caused the outside to sum to 440, which the Archangel Michael said was “Death,” and this is the Gematria sum of the letters. Michael had Dee correct it to y/15 (Aemeth, “Truth,” sums to 441). To this day I see SDAs with the y/14 cell online. Regardless, I consider instead the extra 1 from 360+1 = 19×19 to mean the center in addition to the number of degrees. Thanks to CodyP for suggesting the idea that the Monas Hieroglyphica and the Enochian system may be Dee’s center and circumference, respectively.

Finally, consider 49^2 = 9^2 + 19^2 +21^2 +1518. 1518, which is 3 less than 39^2, is between the 240th & 241st primes of 1511 (+7) & 1523 (-5). 240+241=481 which is 13*37. 1511+1523=3034 which is also evenly divisible by 37. But the more important number is 1518 itself, which factors in ascending order to 2, 3, 11, and 23; looking just at the digits, we see a pattern: 2-3-1-1-2-3. The sum of the first four digits is 7, as is the sum of the last four (and the Watchtower and Heptarchy portions of the system are based on the four elements and seven classical astrological planets, respectively), and we see once again the angels noting that the first (2 with 3) shall be last (23). The last four digits also are the beginning of the Fibonacci sequence. 2*3 is naturally important as an even divisor of 360 and takes on its unique role as the number of ministers to each king & prince in the angelic Heptarchy of Enochian. 1518 is also 70 years before the putative end of the world in the Enochian transmission, and 9 years before John Dee’s birth.

More on numbers to come as I expound on the recent use of Prime Gematria suggested to my by Jon Ciel.

Enochian and Gnosticism

It’s hard to describe in fullness “Enochian theology,” but a cursory look at both the language of Enochian as well as my experience of scrying the Aethyrs has had me pondering this matter in the back of my mind for some time. What I’ve come to realize, after a good dose of listening to the Secret History of Western Esotericism Podcast, is that the Enochian magico-mystical system seems to continue the deep initiation into John Dee’s mind. Dee, a highly educated man, was familiar with Greek, fluent in Latin, and nothing if not well-read. His religious education needed to take the vows for a Catholic priest (while under arrest in would’ve also taken him into reading much of what was Catholic orthodoxy and–important for Dee if he wished to save his skin–what were the no-no’s of heterodoxy, heresy, apostacy. In other words, Dee probably came to know as much, if not more, about the Classics as any other man in England.

SHWEP has provided for me some obsessively interesting listening material. Earl Fontainelle’s laser focus on esotericism, combined with his profound background in the classics as well as his varied interest in the history of Western philosophy, has really opened up a world of understanding of the development of religious doctrine. Support the podcast, won’t you? Among the episodes I dove into was episode 79, Numenius’ Metaphysics, which laid out a concept of highest god, Nous; a son (emanation?) of that god, the Demiurge; and a grandson (second emanation?) of Nous, the Noetic Creator of our world. Note that these concepts roughly match the Kabbalistic Tree of Life model: an The Nous roughly corresponds to Ain/Ain Soph/Ain Soph Aur, the Demiurge roughly corresponds to the world of Atziluth, and the Noetic Creator roughly corresponds to the world of Briah. The idea of a demiurge is roughly linked to Gnosticism (in addition to previous philosophies), which, as SHWEP points out in an earlier episode with Michael Williams, is a somewhat problematic term in itself.

Numenius of Apamea parallels earlier philosophers like Eudorus of Alexandria, but what does this have to do with Enochian? One Enochian word that came to mind when considering this philosophy is “JAIDA” (which can also be transliterated to “IAIDA”; n.b. the letters “I” & “J” are collapsed in the Enochian alphabet), meaning “highest God” or, perhaps from its structure (“IA of IAD” or “IAD of IAD”): “God of Gods.” This is a bit strange from a monotheist point of view, and suggests that we should instead consider the Enochian system to be a monolatrous one, which is to say that the God of Enochian is the highest God, or the God worthy of worship, but that other gods may exist. This is surely one way to interpret other godlike beings who appear, such as Babalon or Kaos (the latter of whom I appear to not have encountered, but other Enochian practitioners have).

The other footing this puts Enochian on is the idea of a one-world religion, or rather a religion designed to be compatible with other religions. Jason Louv suggests in John Dee and the Empire of Angels that a one-world religion is indeed what the angels themselves were pushing. I have to admit, I have found that my exploration of Enochian hasn’t really pushed me away from any religion, but rather I’ve taken an approach which allows for the congruence of multiple religions at once. One difficulty with Enochian is the colonialist view of the world that Dee took, such that it’s tempting to view Enochian as a superstructure or superimposition upon other religions–perhaps as yet another imposition of religion, similar to the forced conversions to Christianity.

Looking into the structure of Enochian and its somewhat heretical views, it seems instead that it’s a system allowing for religious tolerance and pluralism, which is something we could use a little more of nowadays. During these holidays, I hope I have made a case to dig a little deeper and unfold what lies beneath the first impressions of this world, and bear witness to and become partakers in its wonders.