Pole Lords and Northern Stars: The Ruler of the Pole and the Charms of the Bear

As it turns out, I do belong to other groups on Facebook than just the geomancy one I admin, and just like in that group, many of the discussions in other groups to which I belong are equally as fascinating and helpful.  One such group, the PGM Study & Practice Group, is focused on (mirabile dictu!) the study and practice of rituals and texts from the Greek Magical Papyri (or PGM, as many of my readers know).  I’ve shared some of my works and joined in some conversations there from time to time, and I find it a helpful resource to belong to.

Recently, I made a bit of a post myself, asking for help and experience from others in the group about a particularly interesting and particularly obscure point from PGM XIII, which is a truly fascinating bundle of texts that I’ve discussed before on my blog.  The post I made specifically discussed the nature, purpose, and function of the Ruler of the Pole from these texts:

PGM XIII, the Eighth and Tenth Hidden Books of Moses, uses an interesting device. Before the various spells of PGM XIII.1—343 and at the end of PGM 646—734, we’re given “the technique of determining which god is ruler of the celestial pole” using “The Seven-Zoned” method.

If the day is Sunday (day of Hēlios), the ruler is Selēnē.
If the day is Monday (day of Selēnē), the ruler is Hermēs.
If the day is Tuesday (day of Arēs), the ruler is Aphroditē.
If the day is Wednesday (day of Hermēs), the ruler is Hēlios.
If the day is Thursday (day of Zeus), the ruler is Arēs.
If the day is Friday (day of Aphroditē), the ruler is Zeus.
If the day is Saturday (day of Kronos), the ruler is Kronos.

In other words, however many days have elapsed in the week since Sunday, the further up in the celestial spheres you go. As Sunday marks the beginning of the week, so too does Selēne mark the first celestial sphere; as Saturday marks the end of the week, so too does Kronos mark the last celestial sphere.

My question is: what is this for?

The “celestial pole” is, almost certainly, the pole around which the Earth and all its heavens whirl around, commonly recognized to be Polaris, the North Star, and tail of Ursa Maior. However, PGM XIII doesn’t refer to a way of invoking or referring to the ruler of the pole, just that there apparently is one. In fact, nowhere else in the PGM is the word “pole” used in conjunction with planetary rulers; the only such thing I might be able to even tangentially relate to it is in PGM IV.930—1114, where it calls upon a form of Horus Harpocratēs in a conjuration of sorts by calling upon “you who are seated within the seven poles ΑΕΗΙΟΥΩ”, but this seems unrelated and more about the seven supports of the heavens (cf. PGM V.213—303, “The pole [of the sky] will be brought down…”). PGM XIII.1—343 does mention that the student should “learn who is the ruler of that day” along with the “[names of the] gods of the hours, then those set over the weeks”, but this again appears to be something different, like a different god for each day of the year.

So what are we actually recognizing by this “ruler of the pole” method? Are we saying that the North Star, and thus the immortal gate of heaven itself through which we ascend and address the gods, has a planetary affinity that shifts from day to day in a way separate from the planetary rulers of the day? Are we saying that the usual weekday reckoning of the planetary ruler of the day is a blind for a more magical, more woogity kind of planetary rulership of the days? Or is this referring to something we just don’t have extant in the texts anymore? Would you attach any significance to the fact that Saturn is the ruler of the pole as well as of the day on Saturday?

Unfortunately, my attempt at starting a discussion just garnered a lot of likes and not a lot of comments.  So, let me explain what little I understand and think of this particular aspect of this particular segment of the PGM.

Basically, PGM XIII gives us a table like the following that compares the ruler of any day of the week as we’d normally consider it to the ruler of the Pole on that given day.  No matter what the planetary ruler of the day is “in the Greek reckoning”, which is the system we’re most commonly used to in the West based on the planet that rules the first hour of the day starting at sunrise, PGM XIII says instead to recognize the planet that rules over the Pole according to the “Seven-Zoned” (also called “The Monad of Moses” in PGM XIII.646—734).

Weekday Planetary Ruler
Day Ruler
(“Greek reckoning”)
Pole Ruler
(“Seven-Zoned”)
Sunday Hēlios Selēnē
Monday Selēnē Hermēs
Tuesday Arēs Aphroditē
Wednesday Hermēs Hēlios
Thursday Zeus Arēs
Friday Aphroditē Zeus
Saturday Kronos Kronos

The idea behind this organization appears to be that, as the week gets “older” and later, starting from Sunday all the way to Saturday, the Ruler of the Pole on that day gets “older” and higher in the heavens, starting with the Moon and going all the way until Saturn.  Thus, on the first day of the week (Sunday), the Ruler of the Pole is the first closest heaven (the Moon); on the second day (Moon), the second heaven (Mercury); and so forth.  It’s not a matter of picking, like, the midnight planetary hour on each day, as the order of the planets in the Seven-Zoned method doesn’t fit that result.  Plus, it might be significant that the only planet that overlaps its Pole Ruler day with its own weekday is Saturn.

There is a relationship that can be drawn between these too, however.  Recall the Planetary Heptagram that’s used to determine the order of the week by tracing the planets both in a circle as well as in an acute heptagram.  There are different ways we can draw it that end up with the same result, but this is the basic and traditional order:

If we start with the Moon at the top and work counterclockwise around in a simple circle outside the heptagram, we get the order of the planets ascending through the heavens (Moon, Mercury, Venus, &c.).  If we follow the heptagram around clockwise starting from the Moon, we get the order of the planets for the days of the week (Moon, Mars, Mercury, &c.).  Instead of using that heptagram, consider the following obtuse heptagram:

Here, if we start with Moon at the top and go around the circle clockwise, we get the order of the planets in the days of the week (Moon, Mars, Mercury, &c.), and if we follow the heptagram clockwise around starting from the Moon, we get the order of the planets ascending through the heavens (Moon, Mercury, Venus, &c.).  What we basically end up with is the exact inverse arrangement as before, we’re just flipping the arrangement around.  It might be argued that the author of PGM XIII considered the arrangement of planets for the days of the week to be a blind or corruption of a true order, that of the heavens, and by applying the same function that transformed the heavenly arrangement into the weekday arrangement just in reverse, we end up with a corrected, ideal, true order of the planets (kind of like the difference between the Earlier Heaven and Later Heaven sequences of the Ba Gua).

In fact, that comparison to the Earlier Heaven and Later Heaven sequences of the Ba Gua might not be a bad parallel.  If we consider the usual modus operandi of a magician of the PGM, if they’re not outright apotheotizing themselves into God, then they’re often initiating themselves to be their equals as, indeed, we’re doing in the rituals of PGM XIII.  Aiōn, which is basically the divinity being appealed to in this part of the PGM, is considered an eternal god of time, but who’s to say what “time” looks like to such an entity?  Our methods of reckoning time down here on Earth may not really apply “up there”, where another system entirely might be used.  In other words, the different arrangements of the planets apply on different scales of the cosmos: the weekday arrangement of planetary rulers of the day functions on a microcosmic, human level, while the celestial arrangement of the planets functions on a macrocosmic, divine level.  If (and this is a huge “if”) the author of PGM XIII was thinking in this way, then we’d want to appeal, entreat, and approach the gods on their own temporal terms rather than using our own human and worldly systems of planetary time-keeping.  It’s an idea, I suppose, but I have nothing to back it up.

So much for the method and a potential argument as to its function, I suppose.  Even assuming we understand its function, what about its purpose?  Why is it a thing?  Despite the importance of this table and method of determining the planet that rules over the Pole on any given day of the week, it’s not really that apparent why the Ruler of the Pole is supposed to be called upon.  There are exceedingly few references to such a pole in the PGM, and it doesn’t make much sense to interpret them on the same level as what we might find in PGM XIII.  There are a few such mentions, some of which are explicit and some of which are debatable:

  1. The invocation of Aiōn from PGM XIII.1—343, specifically lines PGM XIII.64ff, and again in a minor variant of wording and barbarous names from PGM XIII.570ff:

    I call on you, who are greater than all, the creator of all, you, the self-begotten, who see all and are not seen.  For you gave Hēlios the glory and all the power, Selēnē the privilege to wax and wane and have fixed courses, yet you took nothing from the earlier-born darkness, but apportioned all things that they should be equal. For when you appeared, both Order arose and Light appeared.  All things are subject to you, whose true form none of the gods can see, who change into all forms.  You are invisible, Aiōn of Aiōns.

    I call on you, lord, to appear to me in a good form, for under your order I serve your angel, ΒΙΑΘΙΑΡΒΑΡ ΒΕΡΒΙΡ ΣΧΙΛΑΤΟΥΡ ΒΟΥΦΡΟΥΜΤΡΩΜ, and your fear, ΔΑΝΟΥΦ ΧΡΑΤΟΡ ΒΕΛΒΑΛΙ ΒΑΛΒΙΘ ΙΑΩ. Through you arose the celestial pole and the earth. …

    I call on you, the creator of all, who are greater than all, you, the self-begotten god, who see all hear all and and are not seen.  For you gave Hēlios the glory and the power, Selēnē the privilege to wax and wane and have fixed courses, yet you took nothing from the earlier-born darkness, but assigned them equality [with it]. For when you appeared, both Order arose and Light appeared, and all things were arranged by you.  Therefore all things are also subject to you, whose true form none of the gods can see, who take different forms in [different] visions, Aiōn of Aiōns.

    I call on you, lord, that you may show me your true form. For under your order I serve your angel, ΑΝΟΓ ΒΙΑΘΙΑΒΑΡ ΒΕΡΒΙ ΣΧΙΛΑΤΟΥΡ ΒΟΥΦΡΟΥΜΤΩΡΜ, and your fear ΔΑΝΟΥΠ ΧΡΑΝΤΩΡ ΒΕΛΒΑΛΙ ΒΑΛΒΙΘ ΙΑΩ. Through you arose the [celestial] pole and the earth. …

  2. Ritual practice from lines PGM XIII.114ff and again from PGM XIII.671ff. Though the use of a god of a day in this context might refer to one of the gods of the individual 365 days of the year, the specific phrasing leads me to believe it’s discussing the Ruler of the Pole of the day.

    Accordingly, as I said before, when you have purified yourself in advance [through the last seven days] while the Moon is waning, at the dark of the Moon begin sleeping on the ground on a pallet of rushes.  Rising at dawn, greet Hēlios through seven days, each day saying first the [names of the] gods of the hours, then those set over the weeks.  Also [each day], learning who is the ruler of that day, keep after him, saying “Lord, on such-and-such a day, I am calling the god to the sacred sacrifices”—doing so until the eighth day.

    Accordingly, as I have said before, when you have purified yourself in advance [through the last] seven days while the Moon is waning, at the dark of the Moon begin sleeping on the ground. Rising at dawn, greet the Sun through seven days, each day saying first the [names of the] gods of the hours, then those set over the weeks. Also [each day], learning who is the ruler of that day, keep after him, saying “Lord, on such-and-such a day I am calling the god to the sacred sacrifices”—doing so until the eighth day.

  3. Sacrifice protocol from PGM XIII.376ff.  However, despite being a “ruler of the day in some sense”, what’s being referred to here probably refers instead to a ruler of one of the 365 days of the year, especially given its use along with gods of the hours, each with their own compulsive or restraining formula that we see traces of later in the Hygromanteia tradition.  This is different than the juxtaposition of the “ruler of that day” from the above section, because it’s separated from the gods of the hours which are bundled with the gods of the weeks.

    The tasting of the victims is done [in] this way: When you are ready to taste them, sacrifice the rooster, so that [the god] may receive lots of spirit, and at the point of tasting, call on the god of the hour and him of the day, so that you may have sponsorship from them.  For if you do not invoke them, they will not hear you, as being uninitiated.  Now you will find [the names of] the gods of the hours and those of the days, and the compulsive formula for each of them in the Key of Moses, for he set them out one by one.

  4. Invocation of Aiōn from PGM XIII.844ff:

    I call on you, eternal and unbegotten, who are one, who alone hold together the whole creation of all things, whom none understand, whom the gods worship, whose name not even the gods can utter.  Inspire from your breath, ruler of the pole, him who is under you; accomplish for me the NN. thing. …

This is basically all I can find in PGM XIII about the Ruler of the Pole, so as important as it might be for the text to point out how to determine the Ruler of the Pole, it’s apparently not that important except in how to address maybe one or two prayers and how to consider the temporal qualities of Aiōn on a day-to-day basis.  None of these few uses, most of which are limited to just references to Aiōn as being a generic ruler (or a sort of hyperstasis of the individual planets, a sort of planet-behind-the-planets or the very Platonic Idea of Planet itself?), give much of a hint of what we’re doing by invoking the Ruler of the Pole.

Let’s back up a bit, I suppose.  What, exactly, is the “Pole” being ruled over?  There are two possible candidates for this: the ecliptic pole (the pole of the planet of the ecliptic, the orbital path of the Sun as viewed from the Earth) and the axial pole (the pole around which the Earth itself rotates on a daily basis).  Though these two poles are similar, they are not identical; after all, the ecliptic is tilted slightly to the rotation of the Earth, which is why we have seasons.  The axial pole of the Earth is basically the North Star, Polaris, which is the tail of Ursa Minor, or the Litte Dipper.  On the other hand, the ecliptic pole of the Earth, along with all the other planets in the Solar System, lies further off in the nearby constellation of Draco.

This was the point of the only small conversation that my post in the Facebook group started, mostly by my good colleague Freeman Presson.  Freeman had the idea that, in a sense, every planet is conjunct the Pole by longitude in the same sense that, if you yourself are standing at the North Pole on Earth, any direction you face or travel will be south.  Because of this, every planet could be seen as being eternally in communion with the Pole, even if they’re separated by latitude.  However, someone else popped in to say that that’s not quite right, and that the pole of the ecliptic is not the same as the pole of the axial rotation of the Earth, and the two don’t really line up that well here.  It was something to consider at least, but it doesn’t really get us much of anywhere.

To be honest, I think it’s far more likely that it really is the axial pole of the Earth (the one that points to Polaris and Ursa Minor) it the one being referred to.  While I’m sure the ecliptic pole was known, there’s far more emphasis in the PGM on the use of the pole stars Polaris, Ursa Minor, and Ursa Maior, with many “bear charms” and other works with the northern stars.  Plus, it does help that both Ursa Minor and Ursa Maior both have seven stars each; indeed, the old Latin word for “north” is “septentrio”, from “septem triones” meaning “seven oxen” or “seven bulls”.  When we look at the Bear-related spells from the PGM, we get a better understanding of some of the power of this figure, or at least the station of this figure (bold text emphasizes similarities with the description of the Ruler of the Pole in PGM XIII):

  1. PGM IV.1275—1322 (“Bear charm which accomplishes everything”): I call upon you, the greatest power in heaven, in the Bear, appointed by the Lord God to turn with a strong hand the holy Pole, ΝΙΚΑΡΠΟΛΗΞ!  Listen to me, Hēlios, Phre!  Hear the holy prayer, you who hold together the universe and bring to life the whole world…ΘΩΖΟΠΙΘΗ, Bear, greatest goddess, ruling heaven, reigning over the Pole of the stars, highest, beautiful-shining goddess, incorruptible element, composite of the all, all-illuminating, bond of the universe ΑΕΗΙΟΥΩ ΕΗΙΟΥΩΑ ΗΙΟΥΩΑΕ ΙΟΥΩΑΕΗ ΟΥΩΑΕΗΙ ΥΩΑΕΗΙΟ ΩΑΕΗΙΟΥ, you who stand on the pole, you whom the Lord God appointed to turn the holy Pole with a strong hand
  2. PGM IV.1323—1330 (“Another [Bear charm]”): ΚΟΜΦΘΟ ΚΟΜΑΣΙΘ ΚΟΜΝΟΥΝ, you who shook and shake the world, you who have swallowed the ever-living serpent and daily raise the disk of the Sun and of the Moon, you whose name is ΙΘΙΟΩ ΗΙ ΑΡΒΑΘΙΑΩ Η, send up to me, NN., at night the daimon of this night to reveal to me concerning the NN. matter.
  3.  PGM VII.686—702 (“Bear charm”): Bear, Bear, you who rule the heaven, the stars, and the whole world; you who make the axis turn and control the whole cosmic system by force and compulsion, I appeal to you, imploring and supplicating that you may do the NN. thing, because I call upon you with your holy names at which your deity rejoices, names which you are not able to ignore…

The thing about many of these Bear charms is that they bear (heh) some semantic similarities and connections to the Hellenic goddess Artemis, due to the myth of her companion Callisto transformed into the constellation of Ursa Maior and the view that Callisto was seen to be an aspect or manifestation of Artemis herself.  From Artemis, connections can be drawn to Selēnē, the Moon, and from the Moon to the Egyptian god Thoth.  Yes, Thoth, who was considered by the Egyptians themselves to be a lunar deity (consider the fact that he is often depicted as wearing a lunar crown and that the crescent shape of the beak of the ibis recalls the shape of the crescent Moon).  Though epithets and praise names of this god are many, some of the more relevant ones are:

  • Who fashioned all things
  • Who made all that exists
  • Bull among the stars (remember the “seven bulls” of the northern stars!)
  • Who determines fate
  • Who glorifies the two eyes (yes, the eyes of Horus, but remember “you gave Hēlios the glory and the power, Selēnē the privilege to wax and wane and have fixed courses…”)
  • Governor of Ma’at (i.e. Truth or Fate) in heaven and Earth
  • Lord of heaven
  • According to whose word the Ennead acts

There are even some texts that give Thoth descriptions and praises in similar patterns and wordings to Akephalos, the Headless One of the Headless Rite.  While I’m not suggesting that Thoth is the Ruler of the Pole or the North Star here, I am suggesting that many of the same qualities of a pantokrator/cosmocrator/all-ruler god transfer over based on similar ideas and notions.  In other words, I’m definitely freestyling my correspondences and connections here, but rather than saying “X is Y”, I’m saying that “X is like Y”.

Anyway.  It’s also fascinating to see mentioned in PGM IV.1323—1330 that reference to “you who have swallowed the ever-living serpent”, which could, if we were to take a staunchly pro-stellar view, refer to the constellation Draco, which might be viewed as a sort of conquering of the ecliptical pole by the axial pole.  It could also relate, as Betz notes in a footnote to PGM IV.930—1114, to the serpent Apophis who daily attempts to devour the bark of Re.  Other references to serpents yields PGM VII.300, another lunar spell that also includes an ibis (!) and a reference to the explicitly lunar god Khonsu, has a particular “circled-ibis” phylactery:

ΣΑΧΜΟΥ ΟΖΟΖΟ, you the one who thunders, the one who shakes the heaven and the earth, the one who has swallowed the Serpent, hour by hour raising the disk of the Sun and surrounding the Moon, ΧΩΝΣΟΥ ΟΧΧΑ ΕΝΣΟΥ Ο ΒΙΒΕΡΟΗΣΟΣ.  Write on your left hand with myrrh ink these things surrounding the ibis.

Similar incantations also exist in PGM VII.359—369 (“Request for a dream oracle”).  PGM VIII.1—63, however, includes a neat little tidbit: an aspect of Hermēs called upon for a binding love spell, but the aspect of which is given the description “in the north you have the form of a serpent”.  Betz notes that this refers to the deity Uto or Wadjet, who is often found associated with the north.  This whole “conquering” or “swallowing of the serpent” could also refer, historically, to the slow shift of the North Star to Polaris in Ursa Minor from Thuban, α Draconis, from some two- to three-thousand years prior.  It’s an idea, I suppose.

This is fascinating, but we’re not where we need just yet to figure out what the Rulers of the Pole are or what they do.  We know that the Pole being ruled over has something to do with Polaris and the constellations of Ursa Maior and Ursa Minor, but that’s about it; we’re not seeing anything in PGM XIII or the Bear charms that are giving us a hint about these specific “rulers of the pole”.  But there are other hints in the PGM and from the classical world that can tip us off in the right direction; we’ll handle that in the next post.

On Geomantic Cycles

A while back on the Facebook community I manage for geomancy, the Geomantic Study-Group, someone had posted a proposed method to obtain four Mother figures for a geomantic reading based on the time and date of the query.  The poster based this proposal off of the Plum Blossom method of I Ching, where (as one of several possible formulas) you take the date and time and numerologically reduce the numbers to obtain trigrams; in a sense, such a method could theoretically be done with geomantic figures, and so the poster called this a type of “horary geomancy” (though I’m reluctant to use that term, because it’s also used by Gerard of Cremona to come up with a horary astrological chart by geomantic means, as well as by Schwei and Pestka to refer to geomancy charts that have horary charts overlaid on top).  He proposed three methods, but they all revolved around using the time of the query in astrological terms.

The proposed idea went like this:

  1. Inspect the planetary ruler of the hour of the query.
  2. Inspect the planetary ruler of the weekday of the query.
  3. Inspect the planetary ruler of the Sun sign of the query.
  4. Inspect the planetary ruler of the year of the query.
  5. Transform the planets above, “taking into account rulerships by day or by night”, into geomantic figures, which are used as the First, Second, Third, and Fourth Mothers for the resulting chart for the query.

Seems straightforward enough!  I mean, I’m already familiar with the basics of horary astrology, I keep track of date and time cycles according to Greek letters, and I’ve flirted with using the Era Legis system of timekeeping as proposed by Thelema, and it’s even possible to extend the planetary hour system into planetary minutes and even seconds; having a geomantic system of time, useful for generating charts, seems more than fitting enough!  Besides, there’s already a system of geomantic hours based on the planetary hours which can probably be adapted without too much a problem.

I was excited for this idea; having a geomantic calendar of sorts would be a fantastic tool for both divination and ritual, if such a one could be reasonably constructed, and better still if it played well with already-existing systems such as the planetary week or planetary hours.  That said, I quickly had some questions about putting the proposed method from the group into practice:

  1. What about the assignment of Caput Draconis and Cauda Draconis?  Do we just occasionally swap them in for Venus/Jupiter and Mars/Saturn, respectively, and if so, how?
  2. Each planet has two figures associated with it; how do you determine which to pick?  “Taking into account rulerships by day or by night” isn’t always straightforward.
  3. How do we determine the planetary ruler of a given year?
  4. Is it possible instead to use the already existing cycles, such as the geomantic hours of Heydon, the rulerships of the lunar mansions, or the Cremona-based or Agrippa-based rulerships of the signs?

When I raised these questions (and a few others), I didn’t really get anything to clarify the method, so this particular conversation didn’t go anywhere.  This is unfortunate, because these pose some major problems to using a strictly planetary-based method of coming up with a geomantic cycle:

  1. The issues in assigning the nodal figures to the planets is the biggest issue.  They simply don’t quite “fit”; even if you reduce the 16 figures into pairs, it’s hard to get eight sets mapped into seven planetary “bins”.  We see this quite clearly when we look at Heydon’s geomantic hours, where the nodal figures are sometimes given to the benefic or malefic planets (though I can’t determine a method), and on Saturdays, two of the hours of the Sun are replaced by the nodal figures (which is, itself, shocking and may just be a typo that can’t be verified either way).  Unless you expand a cycle of 24 hours or seven days into a multiple of 8 or 16, you’re not going to end up with an equal number of figures represented among the planets.
  2. Given that each planet has two figures (ignoring the nodal figure issue from before), you can decide that one figure is going to be “diurnal” and the other “nocturnal”, or in planetary terms, “direct” or “retrograde”.  Different geomancers have different ways to figure out which of a planetary pair of figures are one or the other, so this might just be chalked up to individual interpretation.  Still, though, when would such a diurnal/nocturnal rulership actually matter?  Finding the figure for a planetary hour, using diurnal figures for diurnal hours and nocturnal figures for nocturnal hours?  Finding the figure for a weekday, using the diurnal figure if daytime and the nocturnal figure if nighttime, or alternating whole weeks in a fortnightly diurnal-nocturnal cycle?  Determining what figure to use if the Sun is in Leo or Cancer?
  3. Multi-part problem for the issue of finding the “planetary ruler of a year”:
    1. By inspecting the mathematics of the different kinds of planetary cycles that are established in the days of the week and the hours of the day, we can extend the system down into the minutes of the hours and the seconds of the minutes.  However, scaling up can’t be done along the same way; what allows for the planetary hours to work is that 24 does not evenly divide by 7, nor 60.  Because there’s always that remainder offset, you get a regularly repeating set of planets across a long system that, when aligned with certain synchronized starting points, allows for a planetary ruler of a given hour or day.  However, a week is exactly seven days; because there is no remainder offset, you can’t assign a planet ruling a week in the same way.  If you can’t even cyclically assign a planetary ruler to an entire week, then it’s not possible to do it for greater periods of time that are based on the week.
    2. There is no method of cyclically assigning a planetary rulership to a year the way we do for days or hours.  The poster alluded to one, but I couldn’t think of one, and after asking around to some of my trusted friends, there is no such thing.  You might find the ruler of a given year of a person’s life, or find out what the almuten is at the start of a solar year at its spring equinox, but there’s no cyclical, easily extrapolated way to allocate such a thing based on an infinitely repeating cycle.
    3. We could adopt a method similar to that in Chinese astrology: use the 12-year cycles based on the orbit of Jupiter, which returns to the same sign of the Zodiac every 11.8618 years (or roughly every 11 years, 10 months, 10 days).  In such a system, we’d base the planet ruling the year on the sign where Jupiter is found at the spring equinox.  This is both a weird import into a Western system that isn’t particularly Jupiter-centric, and is not quite exact enough for my liking, due to the eventual drift of Jupiter leading to a cycle that stalls every so often.
    4. It’s trivial to establish a simple cycle that just rotates through all seven planets every seven years, but then the problem becomes, what’s your starting point for the cycle?  It’s possible to inspect the events of years and try to detect a cycle, or we can just arbitrarily assign one, or we can use mythological calendrics (a la Trithemius’ secondary intelligences starting their rulerships at the then-reckoned start of the world), but I’m personally uncomfortable with all these options.
  4. Different existing cycles, different problems for each:
    1. John Heydon’s geomantic hours from his Theomagia (which are the first instance I can find of such an application of the planetary hours) are a mess.  Even accounting for how he reckons the figures as “diurnal” or “nocturnal” and their planetary rulers, the pattern he has breaks at random points and I can’t chalk it up necessarily to being typos.  Additionally, there are 168 hours in a week, but this doesn’t evenly divide into 16, meaning that within a given week in Heydon’s (quite possibly flawed) system of geomantic hours, some figures will not be given as many hours as others.  If we went to a fortnight system of 14 days, then we’d end up with 336 hours which is evenly divisible by 16 (336 hours ÷ 16 figures = 21 hours/figure), but Heydon doesn’t give us such a system, nor have I seen one in use.
    2. The system of lunar mansions from Hugo of Santalla’s work of geomancy ultimately formed the basis for the system of zodiacal rulerships used by Gerard of Cremona (which I’m most partial to).  However, of the 28 mansions, seven have no rulership, and five are duplicated (e.g. mansions 25, 26, and 27 are all ruled by Fortuna Minor).  Moreover, this system of attribution of figures to the mansions is apparently unrelated to the planetary rulership of the lunar mansions (which follow the weekday order, with the Sun ruling mansion 1).  It may be possible to fill in the gaps by closing ranks, such that the unruled mansion 7 is “absorbed” by Rubeus which already rule mansion 6.
    3. There’s another system of lunar mansion rulership assigned to the figures, described by E. Savage-Smith and M. Smith in their description of an Arabian geomancy machine relating to directional correspondences, which uses the similarities between graphical point representation of the figures and certain asterisms of lunar mansions to give them their correspondence.  However, it is likewise incomplete, moreso than Hugo of Santalla’s assignments, and is likely meant as a way of cementing geomancy into Arabic astrological thought (though the two systems do share three figure-mansion correspondences, but this might just be coincidental overlap).
    4. Hugo of Santalla’s system of lunar mansions and geomantic figures was eventually simplified into a set of zodiacal correspondences for the figures, such as used by Gerard of Cremona.  I like this system and have found it of good use, but Agrippa in his On Geomancy says that those who use such a system is vulgar and less trustworthy than a strictly planetary-based method, like what JMG uses in his Art and Practice of Geomancy.  Standardizing between geomancers on this would probably be the riskiest thing, as geomancers tend to diverge more on this detail than almost any other when it comes to the bigger correspondences of the figures.
    5. Even if one were to use Agrippa’s planetary method of assigning figures to the signs of the Zodiac, you’d run into problems with the whole “diurnal” and “nocturnal” classification that different geomancers use for the figures, which is compounded with the issue of nodal figures.  For instance, according to Agrippa, Via and Populus are both given to Cancer; Carcer and Caput Draconis are given to Capricorn; and Puer, Rubeus, and Cauda Draconis are all given to Scorpio.  I suppose you might be able to say that, given a choice, a nodal figure is more diurnal than the planets (maybe?), but how would you decide what to use for Scorpio, if both figures of Mars as well as Cauda Draconis are all lumped together?

In all honesty, given my qualms with trying to find ways to overlay planetary cycles with geomantic ones, I’m…a little despairing of the notion at this point.  The systems we have to base geomantic cycles on are either irregular or incomplete, and in all cases unsatisfactory to my mind.

Now, don’t get me wrong.  I have heard that some geomancers have used the geomantic hours to good results, but I’ve also heard that some geomancers can get the methods of divination for numbers and letters to work; in other words, these are things that everyone has heard of working but nobody seems to have actually gotten to work.  And, I suppose if you don’t think about it for too long and just take it for granted, perhaps you can get the geomantic hours to work!  After all, I’ve found good results with Hugo of Santalla’s figure-mansions correspondences, even if they’re incomplete and unbalanced, without anything backing them up.  (I never denied that over-thinking can be a problem, much less a problem that I specifically have.)

Further, I’m not saying that geomantic cycles don’t exist; they very likely do, if the elements and the planets and the signs all have their cycles in their proper times.  The problem is that so much of these other cycles we see are based on fancier numbers that are either too small or infrequent (4 elements, 7 planets) or don’t evenly divide into 8 or 16 (like 12 signs, 27 letters in an alphabet), or they simply don’t match up right.  For instance, it would be possible to create a new set of geomantic hours where each figure is present in turn over a course of 16 hours, then repeat the cycle; this leads to returning to the same figure at the same hour of the day every 48 hours, starting a new cycle every third day.  This doesn’t match up well with a seven-day week, but rather a cycle of two weeks (as hypothesized above, since 14 days = 336 hours, and 336 is divisible evenly by 16).  However, such a system would break the correspondence between planets and figures because of the “drift” between cycles of 16 and 7.

So…in that line of thinking, why not rethink the notion of geomantic cycles apart from tying them to planetary ones, and start from scratch?

We’re accustomed to thinking of magical cycles in terms of seven planets, but we could just as easily construct cyclical time systems in terms of four (which can be divided four ways within it), eight (divided into two), or sixteen units.

  • Consider the synodic period of the Moon, which can be said to have eight phases: new, crescent, first quarter, gibbous, full, disseminating, third quarter, and balsamic.  We could attribute each phase two figures, and then sync the cycle to, say, the new moon (when the Sun and Moon are in conjunction) or to the first quarter moon (when the Sun sets as the Moon is directly overhead), giving a synodic month 16 geomantic “stations” each lasting about 1.85 days.
  • Those with a neopagan background are used to thinking of the year as an eight-spoked Wheel, where the year is divided by eight sabbats, which are four quarter days (equinoxes and solstices) and four cross-quarter days; each period between one sabbat and the next could be split into a geomantic “season” lasting roughly 22 or (sometimes) 23 days long.
  • Alternatively, a year of 365 days can be broken up into 22 “months” of 16 days each, leading to 352 days, meaning three or four intercalary/epagomenal days at the end of the year or spread around for, say, the quarter days.
  • Within a single day from sunrise to sunrise, we can divide the day into four segments (morning, afternoon, evening, and night) divided by the stations of the sun (sunrise, noon, sunset, midnight), and each segment can be further subdivided into four geomantic “hours”, leading to a total of 16 geomantic “hours” within a day which would, assuming a day of equal daytime and nighttime, have each “hour” equal to 90 minutes.
  • Years can be broken down into cycles of four years, every fourth year requiring a leap day; this could lend itself to a cycle of 16 years (one geomantic figure per year), or even to a cycle of 64 years (comprising 16 leap days), each of which can be used as a way to define larger-time cycles.

Such a four- or eight-fold division of time and space isn’t unheard of; we commonly reckon a year (at least in most Western Anglophone countries) as having four seasons, the Greeks broke up cycles of years into four-year Olympiads, the ancient Romans divided up the night into four watches (while using twelve hours for the daytime), and there are discussions of a Hellenistic system of astrological houses called the octotopos/octotropos system which uses eight houses instead of the usual 12, so it’s possible to dig that up and rework it to accustom a geomantic method where the number 16 could be applied to work better than mashing it onto a system where the number 7 is more prominent.  That said, finding such a system that’s thoroughly based on 4, 8, or 16 is difficult, as it’d be pretty artificial without including the moon (which repeats in patterns of 12 or 13) or whole number divisors of 360, and considering how thoroughly cultural transmission/conquering has established the 12-month year across most of the world, often obliterating and subsuming earlier systems that may not have left much of a trace.  But, again, if we’re gonna just up and make one from scratch, I suppose it doesn’t need to be grounded in extant systems, now, does it?  Even if it’s artificial, if it’s a cycle that works, such as by associating the different motions of the sun and sensations of the day with the figures, or by linking the changes in the seasons with the figures, then that’s probably the more important thing.

Unlike my older grammatomantic calendars, where the order of the letters provided a useful guide to how the system should “flow”, the geomantic figures have no such inherent order, but can be ordered any number of ways (binary numeral equivalence, element and subelement, planetary, zodiacal order by Gerard of Cremona or by Agrippa, within one of the 256 geomantic emblems, the traditional ordering of odu Ifá which we shouldn’t ever actually use because this isn’t Ifá, etc.).  Or, alternatively, new orders can be made thematically, such as a “solar order” that starts with Fortuna Maior at sunrise, continues through the figures including Fortuna Minor at sunset, and so forth.  This would be a matter of experimentation, exploration, and meditation to see what figure matches up best with what part of a cycle, if an already existing order isn’t used as a base.

I do feel a little bad at not offering a better alternative to the problem that the original poster on Facebook posed, instead just shooting it down with all my own hangups.  Over time, I’d eventually like to start building up a geomantic calendar of sorts so as to try timing things for geomantic spirits and rituals, but that’ll have to wait for another time.  Instead, going back to the original problem statement, how can we use time to come up with four Mothers?  Well, perhaps we can try this:

  1. Consider four lists of geomantic figures: binary (B), elemental (E), planetary (P), and zodiac (Z).  Pick a list you prefer; for this method, I recommend the simple binary list (Populus, Tristitia, Albus…Via).  Enumerate the figures within this list from 0 to 15.
  2. Look at the current time and date of the query being asked.
  3. Take the second (1 through 59, and if the second is 0, use 60), minute (ditto), and hour (1 through 23, and if 0, use 24).  Add together, divide by 16, and take the remainder.  This is key 1.
  4. Take the day of the year (1 through 365 or 366), divide by 16, and take the remainder.  This is key 2.
  5. Take the year, divide by 16, then take the remainder.  This is key 3.
  6. Add up all the digits of the current second, minute, hour, day, and year.  Divide this number by 16, then take the remainder.  This is key 4.
  7. For each key, obtain the corresponding Mother by finding the figure associated with the key in the list you choose.

So, for instance, say I ask a query on September 25, 2017 at 9:34:49 in the evening.  According to the method above, starting with the actual math on step #3:

  1. Since 9 p.m. is hour 21 of the day, 49 + 34 + 21 = 104.  The remainder of this after dividing by 16 is 8, so K1= 8.
  2. September 25 is day 268 of year 2017.  The remainder of 268 ÷ 16 is 12, so K2 = 12.
  3. The remainder of 2017 ÷ 16 is 1, so K3 = 1.
  4. 49 + 34 + 21 + 268 + 2017 = 2389, and the remainder of this after dividing by 16 is 5, so K4 = 5.
  5. Using the binary list, (K1, K2, K3, K4) = (8, 12, 1, 5), which yields the Mother figures Laetitia, Fortuna Minor, Tristitia, and Acquisitio.

While this is not a perfect method, since the number of days in a year is not perfectly divisible by 16, the possibilities of each figure appearing as a Mother are not exactly equal to 1/16, but the process is decent enough for pretty solid divination based on time alone.  Instead of using purely date/time-based methods, you could also use the birth information of the querent alongside the date and time of the query, use the figures for the current geomantic hour/lunar mansion/Sun sign of the Zodiac, or numerologically distill the query by counting the number of letters or words used or by using gematria/isopsephy to distill and divide the sum of the content of the query.  So, I a method like what the original poster was proposing could certainly work on strictly numerical principles alone, just not on the astrological or planetary cyclical methods proposed.

As for geomantic cycles, dear reader, what do you think?  If you were to link the geomantic figures to, say, the phases of the moon, the eight “spokes” of the neopagan Wheel of the Year, or the flow of light and darkness across a day reckoned sunrise-to-sunrise, how would you go about creating such a cycle?  Have you used the geomantic hours, and if so, have you run into the same problems I have, or have you used them with good effect, in lieu of or in addition to the normal planetary hours?

Geomancy Hangout on April 26!

So I’ve recently started a thing on the internets where I get together with a bunch of people and voicechat about occult things.  Now that I have a decent headset and webcam, this is actually a possibility for me where there was none before, so it’s pretty nifty.  Last month in March was my first time organizing such an event, and it was surprisingly well-received, so I figure I’ll make it a monthly event.  Whether you have a webcam or no, feel free to join in on my Google+ Hangouts!  While I’ll generally introduce a topic and guide the conversation and perhaps teach a bit, it’s also a way for you to get involved and share your ideas (and believe me, there’s plenty I can learn as well from you).

The next one is scheduled for Saturday, April 26 at 4 p.m. EDT.  This month, we’ll be talking about the elements of the geomantic figures, where they come from, and how to use them in divination and magic.  The Facebook event for the hangout can be found here, and the original G+ event page here.  If you can, say whether you’ll be going on either page; if you want to surprise me or just pop in, the actual link for the hangout chat can be found here.  Hope to see you there!

So official, with this new Facebook thingie!

Between divination readings last night, I decided to procrastinate a bit and dawdle on Facebook.  I had the dubiously-awesome idea to publicize my blog a little bit more, because, well, that’s what social media is for, right?  I ended up making a page just for this blog, the Digital Ambler, which you should totally go ahead and like, you social media addict.  That is, of course, if you have a Facebook account, and if you don’t, I deeply respect you for that (don’t ever change, you loveable luddite).

While the blog and magicking won’t be affected, nor will I go through and cull everyone off my personal Facebook friends list whom I don’t know, getting in touch with me through the Facebook page in the future might be a recommended practice.  I plan to occasionally post special deals on crafts, commissions, divinations, or ritual services through the Facebook page, and you can better keep up with me that way instead of being subjected to my crazy mundane crap I post on my personal profile anyhow.  You have the incentive to like it, so do so!  I’ll also start posting my Daily Grammatomancy posts (on the days I actually get around to posting them) on the Facebook page, too.