Arranging the Planets as the Geomantic Figures

A few weeks ago, the good Dr Al Cummins and I were talking about geomantic magic.  It’s a sorely understood and understudied aspect of the whole art of geomancy, and though we know geomantic sigils exist, they’re never really used much besides in addition to the usual planetary or talismanic methods of Western magic.  While I’ve been focusing much on the techniques of divination, exploring the use of geomancy and geomantic figures in magical workings is something of a long-term, slow-burn, back-burner thing for me.  Al, on the other hand, has been jumping headlong into experimenting with using geomancy magically (geomagy?), which fascinates me, and which gives us nigh-endless stuff to conjecture and experiment with.  After all, there’s technically nothing stopping us from seeing the geomantic figures as “units” in and of themselves, not just as extensions of planets projected downward or as combinations of elements projected upwards, so seeing how we could incorporate geomancy into a more fuller body of magic in its own right is something we’re both excited to do.

One of these talks involved my use of the geomantic gestures (mudras, or as I prefer to call them, “seals”).  I brought up one such example of using a geomantic seal from a few years ago: I was at the tattoo parlor with a magic-sensitive friend of mine in the winter, and it had just started to snow.  I had to run across the street to get cash, and I decided that it wasn’t that cold (or that I could bear the weather better) to put on my coat.  I was, as it turns out, incorrect, and by the time I got back, I was rather chilled to the bone.  So, in an attempt to kickstart the process of warming back up, I threw the seal for Laetitia and intoned my mathetic word for Fire (ΧΙΑΩΧ). My sensitive friend immediately turned and picked up on what I was doing without knowing how.  I hadn’t really tried that before, but since I associate Laetitia with being pure fire (according to the elemental rulers/subrulers of the figures), I decided to tap into the element of Fire to warm myself up.  Since that point, I use the seals for Laetitia, Rubeus, Albus, and Tristitia as mudras for the elements of Fire, Air, Water, and Earth, respectively, like in my augmentation of the Calling the Sevenths ritual (e.g. in my Q.D.Sh. Ritual to precede other workings or as general energetic/spiritual maintenance).

Talking with Al about this, I came to the realization that I instinctively used the figures to access the elements; in other words, although we consider the figures being “constructed” out of the presence or absence of the elements, from a practical standpoint, it’s the opposite way around, where I use the figures as bases from which I reach the power of the elements.  That was interesting on its own, and something for another post and stream of thought, but Al also pointed out something cute: I use the figures of seven points as my seals for the elements.  This is mostly just coincidence, or rather a result of using the figures with one active point for representing one of the four elements in a pure expression, but it did trigger a conversation where we talked about arranging the seven planets among the points of the geomantic figures.  For instance, having a set of seven planetary talismans, I can use each individually on their own for a single planet, or I can arrange them on an altar for a combined effect.  If the seven-pointed figures can be used for the four elements, then it’d be possible to have elemental arrangements of the planets for use in blending planetary and elemental magic.

So, that got me thinking: if we were to see the geomantic figures not composed of the presence or absence of elements, but as compositions of the planets where each planet is one of the points within a figure, how might that be accomplished?  Obviously, we’d use fiery planets for the points in a figure’s Fire row, airy planets for the Air row, etc., but that’s too broad and vague a direction to follow.  How could such a method be constructed?

I thought about it a bit, and I recalled how I associated the planets (and other cosmic forces) with the elements according to the Tetractys of my mathesis work:

 

Note how the seven planets occupy the bottom two rungs on the Tetractys.  On the bottom rung, we have Mars in the sphaira of Fire, Jupiter in Air, Venus in Water, and Saturn in Earth; these are the four essentially elemental (ouranic) planets.  The other three planets (the Sun, the Moon, and Mercury) are on the third rung, with the Sun in the sphaira of Sulfur, the Moon in the sphaira of Salt, and the planet Mercury in the sphaira of the alchemical agent of Mercury.  Although we lack one force (Spirit) for a full empyrean set of mathetic forces for a neat one-to-one association between the empyrean forces and the four elements, note how these three planets are linked to the sphairai of the elements: the Sun is connected to both Fire and Air, Mercury to both Air and Water, and the Moon to both Water and Earth.

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).

As an example, consider the figure Laetitia: a single point in the Fire row, and double points in the Air, Water, and Earth rows, as below:

First, we put in the ouranic planets by default in their respective elemental rows:

Note how Mars takes the single point in the Fire row, while Jupiter, Venus, and Saturn occupy only one of the points in the other rows; these three empty points will be filled by the three empyrean planets according to the most harmonious element.  The Moon can appear in either the Earth or Water rows, and Mercury can appear in either the Water or Air rows, but in the case of the figure Laetitia, the Sun can only appear in the Air row, since the Fire row has only one point and is already associated with Mars; thus, in Laetitia, the Sun goes to Air, Mercury to Water, and the Moon to Earth.

Following this rule, we get Rubeus with Jupiter occupying the sole Air point and the Sun moving to the Fire row as the second point, Albus with Venus in the sole Water point and Mercury moving to the Air row, and Tristitia with Saturn in the sole Earth point and the Moon moving to the Water row.

With those done, it would then be easy to see what Via would look like as a collection of planets: just the four ouranic planets Mars, Jupiter, Venus, and Saturn in a straight vertical line, the four purely-elemental ouranic planets without any of the mitigating empyrean ones, since the empyrean planets don’t need to be present to mitigate any of the ouranic ones.

Leaving aside Populus for the moment, what about the five-pointed and six-pointed figures?  In the case of five-pointed figures (e.g. Puer), we have to leave out two of the empyrean planets, and only one in the case of the six-pointed figures (e.g. Fortuna Maior).  For these figures, we decided to break with the foregoing empyrean-to-element rule and institute two new ones for these figures.

For five-pointed figures, use Mercury as the sole empyrean planet for the row with two dots, regardless where it may appear:

For six-pointed figures, use the Sun and Moon as the empyrean planets for the two rows with two dots, regardless where they may appear, with the Sun on the upper double-pointed row and the Moon on the lower double-pointed row:

Note how these two rules give us four figures where the empyrean planets do not appear where we would otherwise have expected them:

  • Fortuna Maior (Sun in Water)
  • Fortuna Minor (Moon in Air)
  • Caput Draconis (Mercury in Fire)
  • Cauda Draconis (Mercury in Earth)

I figured that this departure from the original empyrean-to-elemental-row idea was useful here, since it allows us to emphasize the structure of the figures and respect the natural affinities of the empyrean planets to each other.  The Sun and Moon have always been considered a pair unto themselves as the two luminaries; without one, the other shouldn’t necessarily be present in such a planetary arrangement.  Thus, for the five-pointed figures that omit the Sun and Moon, we would then use only Mercury, as it’s the only empyrean planet available.  Likewise, if either the Sun or Moon is present, the other should also be present; for the six-pointed figures, this means that Mercury is the only empyrean planet omitted.  An alternative arrangement could be used where you keep following the prior rules, such that Fortuna Maior uses the Sun and Mercury, Fortuna Minor uses Mercury and the Moon, etc., but I rather like keeping the Sun and Moon both in or out together.  It suggests a certain…fixity, as it were, in the six-pointed figures and mutability in the five-pointed figures that fits well with their even/objective/external or odd/subjective/internal meanings.

For all the foregoing, I’m torn between seeing whether the order of planets within a row (if there are two) matters or not.  In one sense, it shouldn’t matter; I only assigned the ouranic planets to the right point and the empyreal planets to the left because of the right-to-left nature of geomancy, and coming from a set theory point of view, the order of things in a set doesn’t really matter since sets don’t have orders, just magnitude.  On the other hand, we typically consider the left-hand side of things to be weaker, more receptive, more distant, or more manifested from the right-hand stronger, emitting, near, or manifesting (due, of course, to handedness in humans with the usual connotations of “dexter” and “sinister”), but relying on that notion, I do feel comfortable putting the empyrean planets (if any) on the left-hand points of a figure, with the ouranic planets on the right-hand side, if not the middle.  It’s mostly a matter of arbitrary convention, but it does…I dunno, feel better that way.

So that takes care of the figures of four, five, six, and seven points.  We only have one figure left, the eight-pointed figure Populus.  As usual with this figure, things get weird.  We can’t simply slap the planets onto the points of Populus because we only have seven planets; we’d either need to bring in an extra force (Spirit? Fixed stars? the Earth?) which would necessitate an eighth force which simply isn’t available planetarily, or we’d have to duplicate one of the existing seven planets which isn’t a great idea (though, if that were to be the case, I’d probably volunteer Mercury for that).  However, consider what the figure of Populus represents: emptiness, inertia, void.  What if, instead of filling in the points of the figure Populus, we fill in the spaces left behind by those points?  After all, if Populus is empty of elements, then why bother trying to put planets where there’ll be nothing, anyway?  If it’s void, then put the planets in the voids.  I found it easiest to conceive of seven voids around and among the points of Populus in a hexagram pattern:

Rather than filling in the points of Populus, which would necessitate an eighth planet or the duplication of one of the seven planets, we can envision the seven planets being used to fill the gaps between the points of Populus; seen another way, the planets would be arranged in a harmonic way, and Populus would take “form”, so to speak, in the gaps between the planets themselves.  The above arrangement of suggested points to fill naturally suggests the planetary hexagram used elsewhere in Western magic (note that the greyed-out circles above and below aren’t actually “there” for anything, but represent the voids that truly represent Populus around which the planets are arranged):

Simple enough, but I would instead recommend a different arrangement of planets to represent Populus based on all the rules we have above.  Note how the center column has three “voids” to fill by planets, and there are four “voids” on either side of the figure proper.  Rather than using the standard planetary hexagram, I’d recommend putting the three empyrean planets in the middle, with the Sun on top, Mercury in the middle, and the Moon on the bottom; then, putting Mars and Jupiter on the upper two “voids” with Venus and Saturn on the bottom two “voids”:

Note the symmetry here of the planets in the voids of Populus.  Above Mercury are the three hot planets (the right-hand side of the Tetractys), and below are the three cold planets (the left-hand side of the Tetractys).  On the right side are Mars and Venus together, representing the masculine and feminine principles through Fire and Water; on the left, Jupiter and Saturn, representing the expansive and contracting principles through Air and Earth; above is the Sun, the purely hot unmanifest force among the planets; below is the Moon, the coldest unmanifest force but closest to manifestation and density; in the middle is Mercury, the mean between them all.  Around the planet Mercury in the middle can be formed three axes: the vertical axis for the luminaries, the Jupiter-Venus axis for the benefics, and the Saturn-Mars axis for the malefics.  Note how Mercury plays the role of mean as much as on the Tetractys as it does here, played out in two of the three axes (Sun-Moon on the third rung, and Venus-Jupiter by being the one of the third-rung “parents” of the two elemental sphairai on the fourth rung).  The Saturn-Mars axis represents a connection that isn’t explicitly present on the Tetractys, but just as the transformation between Air and Water (hot/moist to cold/moist) is mediated by Mercury, so too would Mercury have to mediate the transformation between Fire and Earth (hot/dry to cold/dry); this can be visualized by the Tetractys “looping back” onto itself, as if it were wrapped around a cylinder, where the sphairai of Mars/Fire and Saturn/Earth neighbored each other on opposite sides, linked together by an implicit “negative” Mercury.  Further, read counterclockwise, the hexagram here is also related to the notion of astrological sect: the Sun, Jupiter, and Saturn belong to the diurnal sect, while the Moon, Venus, and Mars belong to the nocturnal sect; Saturn, though cold, is given to the diurnal sect of the Sun to mitigate its cold, and Mars, though hot, is given to the nocturnal sect of the Moon to mitigate its heat, with Mercury being adaptable, possesses no inherent sect of its own, but changes whether it rises before or after the Sun.

That done, I present the complete set of planetary arrangements for the sixteen geomantic figures, organized according to reverse binary order from Via down to Populus:

So, the real question then becomes, how might these be used?  It goes without saying that these can be used for scrying into, meditating upon, or generally pondering to more deeply explore the connections between the planets and the figures besides the mere correspondence of rulership.  Magically, you might consider creating and consecrating a set of seven planetary talismans.  Once made, they can be arranged into one of the sixteen geomantic figures according to the patterns above for specific workings; for instance, using the planetary arrangement of Acquisitio using the planetary talismans in a wealth working.  If you want to take the view that the figures are “constructed” from the planets much how we construct them from the elements, then this opens up new doors to, say, crafting invocations for the figures or combining the planets into an overall geomantic force.

However, there’s a snag we hit when we realize that most of the figures omit some of the planets; it’s only the case for five of the 16 figures that all seven planets are present, and of those five, one of them (Populus) is sufficiently weird to not fit any sort of pattern for the rest.  Thus, special handling would be needed for the leftover planetary talismans.  Consider:

  • The five-pointed figures omit the Sun and the Moon.  These are the two visible principles of activity/positivity and passivity/negativity, taking form in the luminaries of the day and night.  These could be set to the right and left, respectively, of the figure to confer the celestial blessing of light onto the figure and guide its power through and between the “posts” of the two luminaries.
  • The six-pointed figures omit the planet Mercury.  Magically, Mercury is the arbiter, messenger, and go-between of all things; though the planetary talisman of Mercury would not be needed for the six-pointed figures, his talisman should be set in a place of prominence at the top of the altar away from the figure-arrangement of the rest of the talismans to encourage and direct the flow of power as desired.
  • The only four-pointed figure, Via, omits all three of the empyrean planets.  As this figure is already about directed motion, we could arrange these three talismans around the four ouranic planetary talismans in the form of a triangle that contains Via, with the Sun beneath the figure to the right, the Moon beneath the figure to the left, and Mercury above the figure in the middle; alternatively, the figure could be transformed into an arrow, with the talisman of Mercury forming the “tip” and the Sun and Moon forming the “arms” of the arrowpoint, placed either on top of or beneath the figure of Via to direct the power either away or towards the magician.

The eight-pointed figure Populus, although containing all seven planets in its arrangement, does so in a “negative” way by having the planets fill the voids between the points proper.  Rather than using the planets directly, it’s the silent voids between them that should be the focus of the works using this arrangement.  As an example, if we would normally set candles on top of the planetary talismans for the other arrangements, here we would arrange the planetary talismans according to the arrangement for Populus, but set up the candles in the empty voids where the points of Populus would be rather than on top of the talismans themselves.

All told, this is definitely something I want to experiment with as I conduct my own experiments with geomantic magic.  Even if it’s strictly theoretical without any substantial ritual gains, it still affords some interesting insights that tie back into mathesis for me.  Though it probably doesn’t need to be said, I’ll say it here explicitly: this is all very theoretical and hypothetical, with (for now) everything here untested and nothing here used.  If you do choose to experiment with it, caveat magus, and YMMV.

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Mathetic Ritual of the Sun’s Ingresses

I was settling down this past Monday thinking of how to better explore the paths of the Tetractys.  Pathworking is fine and all, and I will never swear against it; it’s a powerful method in its own right, and when tweaked for the purposes of mathesis, will provide valuable experience in developing oneself theurgically.  The thing is that…well, I hate pathworking.  It’s a personal opinion of mine that physical, enacted ritual is superior for initiations and transformation compared to pathworking, which is more meditative and exploratory but also too mental and ungrounded to achieve the same ends.  Any physical addition to pathworking, such as using gestures or chanting, can definitely help empower the pathworking, but in the end it’s still primarily pathworking.  I tried coming up with different kinds of chants or seed syllable-type intonations to focus oneself on a manifesting or manifested version of a path to little result (I’ll keep those notes as a draft post for future reference just in case), but something kept nagging at me to think of something better.

Looking through my old drafts I had saved, I noticed that I started an idea a while back but never really fleshed it out any.  The idea was to have a stellar type of ritual, not focused on the planets or elements themselves but on the passage of the Sun as it travels from one sign of the Zodiac to the next.  After all, the whole point of the Gnosis Schema is to develop the self theurgically by using a set of twelve paths to traverse the ten sphairai of the Tetractys, and these twelve paths are given to the signs of the Zodiac.  If we consider ourselves as Suns, then the passage of the Sun through the Zodiac represents our own passage through Gnosis.  By celebrating the ingress of the Sun into each sign of the Zodiac, we celebrate and open ourselves up to a whole new stage of our development, formally opening up new gates and roads for us to travel.  This is an idea I wanted to develop, but I had little idea back then of how to actually go about building or thinking about such a ritual.  I think it’s time now to do just that.  Thus, at the beginning of Cancer 2017 and close to the start of a new mathetic year, let us now discuss αι Τελεται των Ηλιεισοδων (hai Teletai tōn Hēlieisodōn), the Rituals of the Solar Ingresses.

tetractys_paths_gnosis_signs

So, first, just because we like things in Greek, let’s list what the names of the Zodiac signs are in Greek for reference’s sake:

  1. Aries: Κριος (Krios)
  2. Taurus: Ταυρος (Tauros)
  3. Gemini: Διδυμοι (Didymoi)
  4. Cancer: Καρκινος (Karkinos)
  5. Leo: Λεων (Leōn)
  6. Virgo: Παρθενος (Parthenos)
  7. Libra: Ζυγος (Zygos)
  8. Scorpio: Σκορπιος (Skorpios)
  9. Sagittarius: Τοχοτης (Tokhotēs)
  10. Capricorn: Αιγοκερως (Aigokerōs)
  11. Aquarius: Υδροχοος (Hydrokhoos)
  12. Pisces: Ιχθυες (Ikhthyes)

When might we celebrate this kind of event?  As I reckon it, there are three options for us, each with their own pros and cons:

  • The first day after the Sun has astrologically entered the sign proper.  This is probably the most straightforward and obvious option, but we’d be careful to note that we’d mark this as the first sunrise coinciding with or falling immediately after the Sun’s entry to the sign.  Thus, if the Sun enters Taurus sometime on a Monday night after sunset, even though Monday is the first day of Taurus according to the modern Western sense, we’d only celebrate this starting at Tuesday morning, at the start of the first full day of Taurus.  The drawback is that such an ingress could occur at any time of the lunar month, which much of the rest of mathesis relies upon for its ritual timing.  After all, the solar year and lunar year are not easily synced and need constant corrections to keep roughly together.
  • The first Noumenia (start of the lunar month) while the Sun is in the sign.  This makes sense from a grammatomantic calendar standpoint, as we could then dedicate the whole rest of the month to works relating to the specific sign that the Sun has entered into.  However, this has a bit of a problem; the Noumenia could occur several weeks into the solar month of the zodiac sign, so we’d lose the “freshness” of the previous option.  Additionally, with lunar months being shorter than a solar month, there is the possibility of having two Noumenias within a single solar month.  In such a case, we’d only use the first one for our ingress ritual, but we’d know then that, if there’s another Noumenia just before the Sun changes sign, then the next one after the Sun enters the next sign would be late indeed.
  • The day of the letter of the sign while the Sun is in the sign.  For instance, if we’re celebrating the entry of the Sun into the sign of Taurus, we’d wait until the day of Γ, the letter associated with Taurus.  Just as with the Noumenia, there is the possibility that there might be two such days with the same letter while the Sun is in the same sign due to the fact that the lunar month is shorter than a solar twelfth of a year.  Further, just as with the Noumenia, this might position the day of the ritual rather late into the Sun’s travel into the sign.  However, this has the benefit of associating the natural power of the lunar day of the month with the sign of the Sun itself, and with the “offset” this would introduce since each sign has a different letter, and thus a different day of the month, we could sidestep some of the issues introduced by using a fixed date of the lunar month viz. the Noumenia.

To compare these options, here are the dates of the first sunrise of the solar ingresses into the signs of the Zodiac starting with Aries 2017, and the corresponding dates of celebration according to each of the three methods above, along with a comparison of how much of the lunar month has elapsed since it last began or how much of the Zodiac sign has already been traveled through by the Sun:

Ingress Day of
Ingress
First
Noumenia
First Lettered
Day
Sign Date
Aries
Κριος
March 21, 2017  3/21
Day of Υ
3/28
24%
3/29
26%
Taurus
Ταυρος
April 19  4/19
Day of Τ
4/26
23%
4/28
29%
Gemini
Διδυμοι
May 20  5/20
Day of Φ
5/26
19%
5/29
28%
Cancer
Καρκινος
June 21  6/21
Day of Ψ
6/24
10%
6/30
29%
Leo
Λεων
July 22  7/22
Day of ϡ
7/24
6%
8/4
42%
Virgo
Παρθενος
August 22  8/22
Day of Α
8/22
0%
9/3
39%
Libra
Ζυγος
September 22  9/22
Day of Β
10/20
90%
10/4
39%
Scorpio
Σκορπιος
October 23  10/23
Day of Δ
11/19
90%
11/3
37%
Sagittarius
Τοχοτης
November 22  11/22
Day of Δ
12/18
90%
12/6
48%
Capricorn
Αιγοκερως
December 21  12/21
Day of Δ
 1/17
90%
1/7
57%
Aquarius
Υδροχοος
January 20, 2018  1/20
Day of Δ
2/16
93%
2/7
62%
Pisces
Ιχθυες
February 18  2/18
Day of Γ
 3/17
90%
3/10
69%

This is just a small sample, but indicative of how close or far these lunar methods of reckoning a ritual date for the Sun’s ingress can vary compared to the exact solar date.  Given these three methods, I’m most inclined to go with the first option, with the third a close contender.  It would be nice to have this set of rituals synced to our already-established lunar calendar, but there’s too much variance with the lunar calendar to make it stick right.  Plus, according to even the most basic of principles of astrological magic, the most powerful time for a zodiacal-solar ritual is (barring a proper solar election) at the first degree of the sign, considered its strongest, with its last few degrees considered its weakest.  On these days of ingress, the ritual should be performed at sunrise, or as early in the day as possible; barring that, as close to the day of ingress as possible.  I’d suppose that, so long as the ritual is performed sometime in the first ten or so days of the Sun’s ingress into the sign, the ritual can be considered valid, though it is best to do it ASAP.

So, we have a set of twelve “holidays”, as it were, or high ritual days for those on the Gnosis schema.  It would be excellent, then, to celebrate all twelve, but if we were constrained for time or resources, could we rank them or group them together in terms of importance?  Absolutely, and this is based all on how we think about the groups of paths on the Gnosis Schema:

  • Of all these twelve days, it’s the day of the Ingress into Aries that is the most important.  This day celebrates the Sun’s rebirth, and our own renewal into a new cycle of the Gnosis Schema from an old one.  If only one ingress could be celebrated, it is this one.
  • With a little more resources and time, the days of the Ingress into Aries, into Leo, and into Sagittarius are as important as each other and should be celebrated if all twelve cannot.  Each of these ingresses marks the departure of the Sun from one set of four signs of the Zodiac into the next four after completing a whole elemental cycle; for us on the Gnosis schema, these ingresses mark our transition from one cycle to the next (Hot to Cold, Cold to Cosmic, Cosmic to Hot).
  • With enough resources and time, each ingress day could be celebrated on its own as they arrive, each ingress marking the transition of the Sun from one sign to the next, and our own transition from one path to the next on the Gnosis Schema.

Thus, to offer a kind of neopagany parallel, the Ingress into Aries would be as important to mathesis as Samhain is to neopagans, the ingress into fire signs as a group as important as the cross-quarter days including Samhain, and the ingress into all twelve signs as a group as important as monthly sabbaths of the cross-quarter days, solstices, and equinoxes.  (I can’t believe I just used that sort of reference, since I’m about as far from neopagan as you can get, but I suppose it works for getting the point across.)

Like with my self-initiation ritual into mathesis I discussed a while back, I’ll refrain from posting the specifics of what the ritual of solar ingress would specifically contain.  I’ve got my reasons for doing so: this is all still highly experimental, this is still a mystery path, and…well, I’m far from done designing a complete ritual for such an event.  However, I’ve got my ideas, and I’ll definitely detail those at a high level for the sake of discussion and thinking out things aloud.  Unlike the solar rituals of the Egyptian priests who guided the Sun through the underworld, and unlike the harvest festivals of the old pagans and heathens, and unlike the celebration of neopagans who reflect on the story of the God and Goddess throughout the year, these rituals of solar ingress use the outer world as a symbol for internal development, and will be used to link one’s self to the cosmic forces at play as the Sun travels through the skies.  In other words, by bringing ourselves into stronger alignment with the natural flow and rhythm of the cosmos, we take on the same development and live in a spiritually natural, balanced way that follows the course the gods themselves take.  We do this by, yes, celebrating the entry of the Sun into a new zodiac sign every month to mark the passage of time, but this is just the external aspect of it; we emulate and, eventually, become the Sun itself as it opens each new gate and takes its first steps along each new path.  By sharing in the work of the gods, new possibilities are opened unto us, granting us new power and responsibilities each step of the way.

As the Sun ages through one sign of the Zodiac, the power of the Sun is generally seen to decrease slightly; the final degrees of a sign are the weakest and darkest, and generally bode no good things.  As the Sun enters a new sign, the Sun’s light is strengthened and renewed each and every time; further, this whole process is repeated on a grander scale of the whole year as the Sun shines brightest in summer, diminishes in autumn, becomes darkest and feeblest in winter, and becomes renewed in the spring.  Just as Apollo is pulled ahead by the horses of his chariot, so too are we pulled forward by the powers of time and growth; just as Apollo is led by Hermes to his destinations hither and fro, so too are we pulled ahead by Hermes as guide and protector.  It is these two gods that mathesis works intensely with, and we can already see roles for them appearing in these rituals of solar ingress: Apollo to cleanse and renew us for entering a new gate, and Hermes to guide and lead us as we take our first steps on a new path.  Thus, each ritual of solar ingress must be preceded by a purification, either by khernimma or katharmos, so that we can enter a new stage of our lives clean and proper.  We must then call on Hermes to open the gate itself and set us on the right path so that we do not get waylaid, lost, or trapped by the darkness that surrounds us.

What I don’t yet know about including, and this is where pathworking will come in help, is the notion of a guardian or gatekeeper for each of these gates.  After all, all gates have some sort of protection for themselves, and the notion of a being or god dwelling within each path against which one must pass a test is not precisely new; yes, the idea is common in Golden Dawn practices, but the idea of a Sphinx posing riddles is old.  We do know that each of the twelve signs of the Zodiac is given to one of the twelve gods of Olympus, saith Cornelius Agrippa in his Orphic Scale of Twelve, but I’m not sure if these would be the same thing.  Additionally, I’m uncertain of what specific offerings should be made as part of the ritual besides the usual ones.  This is all for future development, planning, and pathworking to see what I can see and find out what can be found out and pieced together.  After all, while I may experiment with different ritual layouts, I’d like to start doing these in earnest starting at the spring equinox next year for Aries.  This gives me more than half a year’s time to try things out, which sounds like a lot of time, but…we’ll see.

These rituals of solar ingress are intended to open the gates and let flow the power along the channels indicated by the paths on the Tetractys.  What they allow us to do is to help guide us along the Gnosis Schema around the Tetractys, but they do not open up each of the sphairai to us.  These rituals can open the gate to a new path, and can bring us to the gate at the end of the path to a new sphaira, but without us unlocking that final gate, we are not able to continue along the Gnosis Schema.  Merely celebrating the rituals of solar ingress is not enough to deliver us to gnosis; these rituals are monthly rites of passage, but like any rite of passage, they only give us license to do more things without specifying how or in what timeframe.  Anyone in a culture who undergoes the rite of passage into adulthood does not have their entire lives mapped out for them from that moment on; it only gives them the ability and recognition of adulthood, with all its privileges and responsibilities.  Over the course of the year, as we celebrate the rituals of solar ingress, we open the ways for us to travel to each sphaira in turn, but we must still walk the path and, moreover, undergo the process of unlocking and experiencing each sphaira on the Tetractys, each of these ten stages of life and development.  This would be a separate ritual, which I’ve not quite yet had plans for, but it makes sense.

In addition to the usual pathworking and astral crap that goes along with all of this, of course.

 

Mathetic Pathworking of the Tetractys

Alright, time to actually talk practice again.  The past few posts were heavy on number theory, but the end of the last post touched on how it impacts our traversal of the Tetractys and how we can start thinking of numbers in terms of how we can actually use them for our spiritual progression.

So, disclaimer, guys: although this post is going to be on pathworking, astral/clairvoyant exploration, and similar topics, I make no claims to being an expert on this.  Although pathworking is not something foreign to me, it’s something that I underutilize in my work, if not outright ignore, even though I recognize the usefulness of it.  I’m geared more towards physical ritual, but astral exploration is something I’d like to get more into.  To that end, Tetractyean pathworking, yay!

The idea behind pathworking is actually fairly simple, and I’ve employed it before when doing meditations on the geomantic figures waaaay back in the day, but also more recently when meditating on the letters of the Greek alphabet.  The technique I use for “astral contemplation” is straightforward:

  1. Sit or lie in a comfortable position.  Clear the mind and regulate the breath.
  2. Visualize the symbol to be contemplated as clearly as you can.  Focus on the symbol becoming as real as possible in the mind.
  3. Vizualize a door, gate, veil, or curtain on which the symbol is written, engraved, embroidered, or whatever.  Let the symbol to be contemplated mark the gate as the entry to the “world” of that symbol.  You might picture the same door each time, or let the door form on its own around the symbol.
  4. Once both the symbol and the gate are fully realized in the mind, open the gate (or have it open) and step through it.
  5. Explore the world of the symbol.  Take note of all you perceive, and interact with the world as desired.
  6. When ready to leave, exit the world by taking the same path backwards, passing by each thing that was encountered on the way in until you reach the gate.
  7. Exit through the gate back into your own headspace, and close the gate.
  8. Visualize the gate dissolving into the symbol itself so that only the symbol remains.
  9. Visualize the symbol disseminating into one’s own sphere to as to retain the power and lessons learned from the contemplation.

You can use this with any set of symbols, from the seals of spirits to the geomantic figures to the planetary sigils from Agrippa to Greek letter or Tarot cards.  It’s a very malleable process that doesn’t rely much on ritual, if at all, though it can certainly be augmented by it through the use of mind-enhancing incenses, consecrated candles or oils, preliminary chants, and the like.

However, what this process best benefits from is preliminary study of the symbol.  What is the symbol’s name?  What spirits is it associated with?  What planets, elements, animals, plants, stones, forces, stars, and numbers is it associated with?  What mythic figures from different religions does it connect to?  In other words, it’s a vital, crucial part of the process to understand the correspondences of the symbol first.  You don’t need to see how they all interact with each other; I can hardly tell you how or why the twelve tribes of Israel are associated with the Zodiac signs the way they are, but they’re there for a reason.  It’s the astral exploration and contemplation that help with understanding the subtle interactions of everything, and give one a deeper knowledge of the symbol by means of experience.

So, let’s review our map, the Tetractys with the paths of letters.  As before, there are two main sets of paths, the Gnosis Schema with its Mitsubishi-like turns, and the Agnosis Schema with its hexagram-hexagon set.

The difference between the Gnosis and Agnosis Schemata involve the kind of force associated with each schema, as well as what sphairai they reach.  The Gnosis Schema is based on the twelve signs of the Zodiac, one step for every sign, as the student travels around the Tetractys.  The Agnosis Schema, on the other hand, contains the non-zodiacal forces: the seven planets and the four elements plus the quintessence of Spirit.  This is where one can get trapped in the cycles of this world, buffeted around by the archons and cruel fate; the Gnosis Schema, on the other hand, indicates the natural, fluid, smooth passage through all aspects of the cosmos up to and including purest Divinity, where we take the reins of our chariot and proceed on our true path to accomplish our One Thing.

tetractys_paths_gnosis_signs

Let’s focus first on the twelve paths of the Gnosis Schema.  Each path has an associated letter, and each letter with a sign of the Zodiac.  If we use Agrippa’s Orphic Scale of Twelve, we already have a wealth of symbolic knowledge on each path, to say nothing of what Liber 777 or other books of correspondence can get us.  However, the number 12 isn’t strictly given to the Zodiac, even in Hellenic reckoning.   There’s also the notion of the Twelve Labors of Heracles (of which the Thelemites have a fascinating view), and some medieval alchemists considered the Great Work to be composed of twelve stages, such as the Gates of George Ripley or the Keys of Basil Valentine.  All these can be considered as a single group, quest, set of paths, tasks, or transformations required to traverse the entirety of the Tetractys by means of the Gnosis Schema.

What of the Agnosis Schema, then?  The Agnosis Schema isn’t just one set of forces; in fact, according to how things are set up on the Tetractys, we can divvy these twelve forces up into three groups of four.  The first set, known as the Ideal forces, are the four elements themselves: Fire, Air, Water, and Earth.  The second set, the Empyrean set, are the two luminaries, the planet Mercury, and the quasi-element quasi-planet quasi-force Quintessence, aka Spirit.  The third set, the Ouranic forces, are the other four non-luminary planets of Venus, Mars, Jupiter, and Saturn.  The four elements and the seven planets all have their usual correspondences (cf. Agrippa’s Scale of Four and Scale of Seven plus, like, literally everything else written in the Western and Near Eastern occult corpus for 5000 years, give or take a millennium), but it’s that last force of Spirit that kinda confuses things a bit.  Spirit wasn’t really considered a separate force way back when; sure, as there are five Platonic solids mentioned in Plato’s Timaeus, there was a notion of a fifth…something out there, but it wasn’t considered to be an element like how Fire or Water was.  Nor was it a visible object in the night sky like the planets or stars, however Plato claims that this force decorated the entire cosmos.  I claim that Spirit is best seen as a median between the elements and planets, or a substrate underlying any other force out there, a type of non-materialized metaforce required for the materialization of anything else.  It’s like how, in order for an object to exist, there must exist a space for it to be present.  That kind of thing.  You can figure out the rest.

However, in addition to the zodiacal, planetary, and elemental forces, each path on the Tetractys is given one of the 24 Greek letters (indeed, this was really the whole impetus for having the paths to begin with).  Each Greek letter can be viewed in different ways.  The first three of these are fairly mundane: the name, the glyph, and the sound of the specific letter, all of which are given on a post way back when I first started considering the Greek letters as a vehicle for theurgy.

Okay, so.  At this point, I’d normally provide a table listing all the correspondences I’ve just mentioned to recap them all, but…the format of my blog would have this table run off the column of this text into the wild unknown, and gods only know what havoc it’d wreak on any number of RSS feeds, so I’m going to refrain from doing so this once.  I mean, if you wanted a table of correspondences that big, just get a copy of Skinner’s Complete Magician’s Tables.  Maybe, one day, I’ll publish my own focusing more on the Greek letters than Hebrew, but that’s not now.  Instead, go ahead and take a gander at all the links I’ve posted above and feed your hungry mind on the connections of the paths to the letters and to the forces and to everything else.

Why study all this?  Because the more information that is accessible to us in our minds, the more tools we’re providing our spirits for when we begin astral exploration and contemplation of these symbols.  It’s a commonly-heard refrain in some circles that “the limits of my language are the limits of my world” (cf. Sapir-Whorf hypothesis); if you don’t have an appropriate symbol set to work with, you can’t communicate, hold onto, or receive information that could use those symbols.  The more symbols we become familiar with, the more our minds and spirits have to work with, which expands the possibilities of vision and clairvoyance.  After all, it’s as my favorite comic seer Dominic Deegan says:

When a seer looks into a crystal ball and spouts some cryptic message, it’s not because second sight is inherently mysterious.  It’s because the seer doesn’t know what he’s looking at and he’s probably disguising his ignorance with cliché mysticism.  To master second sight you must have knowledge, which is found in books, which is why we have so much required reading for this class. (January 5, 2007)

Second sight is hard.  It requires a solid knowledge of history, politics, religion, arcane theory and even geography to really be of any use.  Otherwise it’s just looking at pictures. (January 11, 2007)

Study hard, kids. That’s important, no matter what you do in the occult.

Okay, so, say you’ve got a good grasp of the symbols, correspondences, associations, and affiliations of the letters with everything else.  What now?  We tap into that with pathworking, which is ritualized contemplation within a specific theurgical context.  Taking into account what’s commonly done in Golden Dawn and related orders, we would first mentally place ourselves within a particular sphaira as its own separate “temple”, envisioning a path leading to it (the one we used to enter) and other paths leading away from it (the possibilities of egress from the temple along the other paths).  Taking Alex Sumner’s brief discourse on qabbalistic pathworking, there are several steps to this process (rephrased from Sumner’s approach):

  1. Preparation of the physical temple and the pathworker.
  2. Visualization of the origin of the pathworking.
  3. Invocation of the forces of the path to be worked.
  4. The departure onto the path from the origin.
  5. The vision of the path.
  6. The arrival from the path unto the destination.
  7. The return to the world and normal consciousness.

Now, we can’t simply replace all the qabbalistic elements with mathetic ones; in many cases, I simply haven’t developed all the same things, and in others, I have no need to.  However, the underlying idea is the same, and many of the same methods can be adapted to this.  The important part that needs to be figured out first, however, is…where exactly do we start?

The whole point of undergoing initiation into the Gnosis Schema is to bring us from wherever we might be on the Agnosis Schema to the central sphaira on the Gnosis Schema.  Before that point, we don’t know where we are or how we got there; we need to be brought to a point of balance so as to be able to grow from that point, rather than trying to catch our bearings while we’re lost adrift on stormy seas.  After initiation, we find ourselves at the central sphaira, which has six paths leading to it all, all equally spread apart.  Thus, we begin at the sphaira of Mercury, and thence proceed onward to the path of Beta, which leads us down to the sphaira of Jupiter/Air.  We repeat the process time and again, periodically returning to Mercury, and continue along our paths.

So, if we begin at Mercury, how do we envision a “temple” or world for this sphaira?  That…well, I don’t really know what it would look like.  I do not know whether I can slip in my own visions of the planetary sphere of Mercury, and I doubt I could very easily, though it might make sense.  I do not know if the image I already have in mind can work, since I haven’t actually gone and explored what this sphaira looks like yet (to my own great shame).  But, if I were pressed to come up with a simple (if not simplistic) view based on what we already know and what we’ve already developed, I suppose we could always go with this little imagining I came up with:

Around you is a forum, a marketplace, filled with stalls and tents and shops all around you.  For some, these stalls are each manned and staffed with heaps of all sorts of foods, spices, riches, and goods; for others, the marketplace is deserted and dilapidated, with it looking more like a shantytown full of ghosts.  In either case, you stand at the center of three roads crossing each other in six directions.  The sky has the usual weather, the air balmy and breezy, and the road is full of dust sweeping in from each of the roads to the center where you now stand.  At the very center of the marketplace, in the exact middle of this six-way crossroads, stands a tall brazier atop a round altar.  This brazier has a fire lit of pure white gold flame, gently warming but weak.  Each road is lined with stalls and shops, though they start becoming fewer and farther between the further you look down each road.  Looking down one of the roads in the direction of the morning sun, you see at the far end of it, where the shops and buildings and tents give way to grass and rocks and dirt roads, a tall stone arch glittering in the light of the sky.

As you walk down this path, the bustle and business of the marketplace (or, alternatively, the whispers of wind and loose tentcloth) die down to silence, almost in anticipation of you reaching the arch.  As you get closer to the arch and further from the tents, you see that the arch leads onto a bridge crossing a deep chasm, heading off around you to both the left and the right.  The whole marketplace is on a large island, cut off from the surrounding lands yet connected by means of these six arches and their bridges wide enough to carry travelers, merchants, pilgrims, warlords, princes, paupers, and others of all kinds and nations.  Yet, these bridges are all but empty.  Beyond, however, you can see a whole new world through the arch, hearing all sorts of new voices and sounds, yet somehow it was not apparent to you until you looked through the arch itself.

The arch is elaborate, delicately engraved with repetitive motifs echoing long-lost languages that yet look familiar to you, mixed in with baroque depictions of cities, wars, crops, livestock, wildlands, gods above and below, and so many other scenes that could never be descried except at close distance, and at a close enough distance, you see all these patterns forming an infinitely-detailed fractal building upon and within itself endlessly.  At the very top of the arch, you see that the whole arch has been engraved with the ancient Greek letter Β; under it, suspended by gilded iron chains, is a brightly-gleaming lantern.  It has not been lit, though you can tell from the slow way it sways that it is full of oil and ready to be ignited at a moment’s notice.  Just above where the flame would be is a rope, tied to both columns supporting the arch, and from that rope a gate that, although fine and delicately-wrought, prevents you from passing through the arch proper.

Light the lamp and let its light beckon to those who would seek to enter, guided and amplified by the white gold flame in the crossroads.  Burn the rope, and bring down the gate.  Open the path to this new road and to this new world.  Leave the town as you are, and return when you are not.

…a bit of fancy prose, sure, but why not?  I don’t have much else to go on at the moment.  Besides, when I do get around to actually exploring the central sphaira, I’ll be able to get a better vision of the place and use that as the preliminary setup for a “mathetic temple”.  The use of the “gate blocking the arch” bit was to show that one cannot simply proceed immediately without doing work to earn the right of passage upon the path; in the Golden Dawn style of pathworking, each path had its own guard that needed to be appeased or tested first before one could go along the path.  Similar things should apply here, I figure, though the methods of testing would likely be different.  Plus, I might actually become inspired enough to give the damn thing its own proper name and title, as opposed to just calling it the “central sphaira” or “sphaira of Mercury”.

Revisiting the Revelations of the Numbers

I didn’t expect to write this post so soon after the last one.  After months of nothing new happening, suddenly I write two posts on mathesis and Iamblichean number theory on the Tetractys?  It’s good to be back, that’s for sure.  I suppose this downtime since last year has done me good and given me time to internally process a lot more than I expected.  Get a drink, dear reader, because I’m gonna go on at length for a bit here.

Okay, so, last time, I started (again) contemplating this mathesis stuff I started developing back in 2014.  Mathesis literally means “teaching”, and is the style of theurgy and ritual I’m developing as an exploration of Neo-Pythagorean, Neoplatonic spirituality based more on Hellenic philosophy than the Jewish philosophy inherent in Kabbala, mangled beyond recognition into Hermetic Qabbalah, and which has unfortunately formed a procrustean bed of occultism to which so much (maybe even too much) has been chained down by.  To be fair, there’s a decent amount of Pythagoras in QBLH (regardless of whether it’s Jewish Kabbala, Christian Cabala, or Hermetic Qabbalah), but nobody really knows what Pythagoras actually taught.  We know he was A Thing, but we don’t know which Things he was.  And…well, I find lots of issues that’ve collectively poisoned the well for me in Hermetic Qabbalah, and I find it hard for me to go back to it anymore.  Yeah, I still use the stuff when it’s called for in Western Hermetic ritual, but I want to find something better, hence my exploration of this system I’m (slowly) developing.  A crucial aspect of it is focusing on the Tetractys, the sacred triangle of ten points that represent the fundamental ideal for all things in the cosmos.  Yes, this path involves a lot of meditation on Pythagorean number theory, handed down to us by the Neoplatonists such as Iamblichus, so let’s go back to the basics and recall what we’ve discussed before about the numbers themselves.

In this sort of Pythagorean Tetractyan math, there are ten numbers plus a special “zero” non-number liminal amount that we should concern ourselves with.  Each of these numbers has a special attribute given to it:

  1. Mēden: Emptiness
  2. Monad: Individuation
  3. Dyad: Relation
  4. Triad: Harmony
  5. Tetrad: Form
  6. Pentad: Growth
  7. Hexad: Order
  8. Heptad: Essence
  9. Octad: Mixture
  10. Ennead: Realization
  11. Decad: Wholeness

Moreover, we noted before that there are special relationships between pairs of these numbers if you take the whole Tetractys and reflect it around a central horizontal axis:

  • Being: Mēden/Decad
  • Becoming: Monad/Ennead
  • Variation: Dyad/Octad
  • Accordance: Triad/Heptad
  • Structure: Tetrad/Hexad
  • Growth: Pentad

tetractys_decad

These relationships are, in a sense, a more “ideal” version of each of their correspondent numbers, and form a sort of meta-Tetractys.  For instance, the Monad has the secret of individuation (a thing in the process of becoming a single thing), while the Ennead has that of realization (a thing in the process of becoming real); both reveal the secret of becoming, but do so in different ways.  The numbers after the Pentad are reflections of the numbers going before, both reflecting off an ideal numerical concept.

As a sort of exercise, let’s now take another look at that picture above.  If you take the lower inverted Tetractys, it implies the existence of two boundary “hidden” tetractyes, such that the Hexad is really just a tetrad plus two monads, the Heptad a triad plus two dyads, and so forth.  If we were to keep this all truly reflective, and if there are two “upright but hidden” tetractyes bounding the lower tetractys, then we should also envision two “inverse but hidden” tetractyes bounding the upper tetractys.  Thus, the Monad is just an ennead minus two tetrads, the Dyad an octad minus two triads, and so forth.

tetractys_decad_full

This can then imply another set of mutual relationships between the numbers:

  • Monad and Tetrad
    • Upper Monad/Lower Tetrad = Monad and Hexad
    • Lower Monad/Upper Tetrad = Ennead and Tetrad
  • Dyad and Triad
    • Upper Dyad/Lower Triad = Dyad and Heptad
    • Lower Dyad/Upper Triad = Octad and Triad
  • Pentad

I list the Pentad here as well, but it has no relationship to anything else, as it is not properly part of the Tetractys (either one, upper or lower, upright or inverse), and also because it is “hidden” as something apart, a balance around which the other two tetractyes stand.  That said, if anything, the Pentad is part of a relationship with the Decad, being exactly half of it, and also thus in a relationship with the Mēden, nothingness and emptiness which is nothing more than the flip side of the same coin as the Decad.

However, this all implies that the Monad is not truly just the Monad that is built with nothing before it, but that it is formed from subtracting from the Ennead.  If we treat all numbers as equally and c0-eternally present, then sure, that would work, but that’s not how the ancients thought about these numbers.  To them, the Monad was first, and underlies all other numbers without relying on them for existence.  Thus, it is the Ennead that relies upon the existence of the Monad and not vice versa, so perhaps we shouldn’t rely on this way of conceiving relationships between the numbers.  Alternatively, we might say that the “ideal” concepts of Becoming, Variation, Accordance, and Structure are identical to those of Individuation, Relation, Harmony, and Form in all ways, simply being another set of terms for the same exact things.  This would mean then that the other four ideas of Realization, Mixture, Essence, and Order are reflections of the “pure” or “true” upright Tetractys, and not that they are on the same level being reflected from the “ideal” concepts.  We might then conceive of Mixture being a higher “register” of Relation, that the Octad is a higher “evolution” of the Dyad, much as people claim Uranus is a higher “octave” of the forces of Mercury, or how 20 is a higher base of the number 2.

Thinking of the numbers in this sense means that, every time we proceed from the concept of Monadic Becoming to Tetradic Structure, we then hit the concept of Pentadic Growth, then proceed back up from the Tetrad to the Monad to…well, the Mēden or Decad, take your pick, depending on how you want to conceive of it.  Then you bounce back down from the Monad through the Tetrad, grow upon the Pentad, then back up, then back down, and so forth.  If we use an expanded version of the Tetractys, going from the Monad to the fifteenth rank, we can see this in action, as below:

tetractys_pendedecad

We first proceed from the Monad to the Dyad to the Triad to the Tetrad, then hit the Pentad.  Then, upon reaching the Hexad (really the first higher register of the Tetrad), we go to the Heptad (higher register of the Triad), then the Octad (higher register of the Dyad), then the Ennead (higher register of the Monad), and then we hit the Decad, which you might consider to be a higher register of the Mēden.  After that, we hit the eleventh rank (the Hendecad if you want to be fancy about it), which as we see is an even higher register of the Monad.  Thus, the Dodecad (rank 12) is an equally-high register of the Dyad, the Tridecad (rank 13) of the Triad, and so on.  Note, though, that just as the lower tetractys has two hidden upright tetractyes supporting it on either side, the tetractys of the ranks higher than twelve has four hidden tetractyes, two on each side of each type.

Every time we finish one Tetractys of evolution (Becoming through Structure), we bring all of that with us each step of the way along the next time.  And, every time we finish the next Tetractys, we also bring that one with us, too; note how the third Tetractys in the picture above, ranks 11 through 14, is nestled between both upright and inverse tetractyes, one of each on each side of the central tetractys that we’re developing.  Each time we progress, we build upon and bring with ourselves all that we have done before, again another way to describe the “everything eternally flows” concept of the Gnosis Schema mentioned last time.

So, consider the Hendecad, rank 11.  This row is composed of the Monad, plus two hidden upright monads and two hidden lower tetrads.  The upper monad (rank 1) is associated with the pure concept of Becoming, i.e. Individualization, and the lower tetrad is really another way to describe the Hexad (rank 6), which is associated with Order.  We know that Order is a higher register of the same concept as Form, i.e. Structure, and since we now have both Structure and Becoming together, we now have joined the Monad and Tetrad again in the same relationship we foresaw with our little mental exercise above.  So the relationship between the Monad and Tetrad still stands, as does that of the Dyad and Triad.  Good to know I didn’t have that little mental exercise or Adobe Illustrator use go to waste after all.

So, let’s revisit the relationship between the Monad/Tetrad and Dyad/Triad and flesh those out a bit more.  If we combine the numbers of these relationships and take the median of the sum, we can tease out some finer points of the relationships these numbers have amongst themselves.

  • Monad and Tetrad.  This pairing overall combines the concepts of Becoming with Structure, the formative beginning and end of all things that allow us to discern why we come into being, and as what we come into being.
    • Upper Monad/Lower Tetrad = Monad and Hexad= 1 + 6 = 7, whose median is 4.  Individuation and Order, with Form as the balance.  As a thing comes into being for the first time, it focuses on its place in the overall order of the cosmos and universe into which it finds itself becoming.  However, being initially without form, it thus requires one; the first thing anything requires in order to begin to achieve its goal is a form conducive to its goal and purpose.
    • Lower Monad/Upper Tetrad = Ennead and Tetrad = 9 + 4 = 13, whose median is 7.  Realization and Form, with Essence as the balance.  As a thing becomes manifested and completed, it focuses on its form and how it will help it achieve its goal.  With a form and a manifestation, what becomes the focus of investigation is now purpose, our essence, our telos within the overall cosmos.  We reflect upon ourselves and our forms, having come into being, to question why and for what we come into being.
  • Dyad and Triad.  This pairing overall combines the concepts of Variation with Accordance, the principles of difference and similarity that relate to all things so as to learn what and how to achieve our desired ends.
    • Upper Dyad/Lower Triad = Dyad and Heptad = 2 + 7 = 9, whose median is 5.  Relation and Essence, with Growth as the balance.  As a thing comes into being and realizes what is around it and, moreover, what things are not itself, it learns to discern the essences of things, including its own, by means of comparison.  This is not for idle sophistry; this very act of “know thyself” is a way of growing into ones own essence.  We cannot escape our essence, but we can learn how to grow into it in a way conducive to its purpose.
    • Lower Dyad/Upper Triad = Octad and Triad = 8 + 3 = 11, whose median is 6.  Mixture and Harmony, with Order as the balance.  As we fall into place and amongst our peers and all the other things in the cosmos, we learn how to get along with them.  The sheer power of being mixed among things is the catalyst for attaining harmony, for the overall sake of creating an overall order so as to help us and all other things achieve all our purposes.

All this leaves the issue of the relationship between the Pentad, Decad, and the Mēden.  We see that, just as the Hendecad is a higher register of the Monad, and that the Hexad is a higher register of the Tetrad, we can say that the Decad is a higher register of the Pentad.  But…this is a little weird.  I mean, yeah, it logically follows, but we also know that the Decad is also a higher register of the Mēden, as both reflect a different state of Being.  I mean, right?  The Mēden is Being by Emptiness, where a thing that exists is empty of independent existence and relies entirely on all other things to exist; the Decad is Being by Wholeness, where a thing that exists is full of all things that exist, containing everything else.  And yet, the Decad is nothing more than the liminal point between one iteration of the full Tetractys counted out and another; just as we started with the Mēden before the Monad, we start with the Decad before the Hendecad.  In a sense, the Decad and Mēden are equals in their own relationship.

What of the Pentad, then?  The Pentad is the balance point between the Mēden and the Decad, and we associate the Pentad with the idea of Growth.  Growth is a distinct concept from any of Becoming, Variation, Accordance, and Structure, as it builds upon and enhances them all.  Consider that the Pentad is the only one of the numbers that can be formed in two distinct ways using distinct numbers in the sum: the Pentad can be formed by adding either the Monad with the Tetrad or the Dyad with the Triad.  All the other numbers in the Decad have only one way to use distinct numbers to form the sum (9 = 4 + 3 + 2, 6 = 4 + 2, etc.)  Even the Decad itself cannot lay claim to this little fact.  The only other number that can be considered as special is the Mēden, which isn’t even a number according to the Greeks; it has no sum because it has no value, because it is nothing.  Thus, in a sense, the Decad is conceptually equal to the Mēden, even if not arithmetically equal, because they are both Being in contraparallel ways.

The Pentad represents growth because it affords the cosmos a power of balance, reciprocity, distribution and flow in a way utterly unlike any other number.  It is neither static nor dynamic, neither oppositional nor reinforcing, neither varying nor assimilating, neither complete unto itself nor utterly and only part of everything else.  In a way, it is Growth (Pentad) and Being (Decad/Mēden) that are also part of their own relationship, and if we’re to be proper about it, we would say that the Decad is a higher register of the Pentad, and not that the Decad is a higher register of the Mēden, because the Mēden doesn’t actually exist except as everything else (being completely empty of independent existence, like a kind of hypostasis or substratum of all numbers, as it were).

So, let’s put this all together in a table for clarification, shall we?  As above, we can identify Individuation with Becoming, Relation with Accordance, Harmony with Accordance, and Form with Structure; thus, all these concepts have the same number.  However, we can distinguish between Individuation and Realization by saying that the former is “manifesting” and the latter “manifested”, like with our geomantic mental exploration of the Tetractys from before.

Concept
Ideal Manifesting Manifested
Monad Becoming Individuation Realization
1 9
Dyad Variation Relation Mixture
2 8
Triad Accordance Harmony Essence
3 7
Tetrad Structure Form Order
4 6
Pentad Growth Being
5 Emptiness Wholeness
0 10

All this is well and good, but how do we think of this in terms of a more practical manner?  I mean, it’s good to understand the numbers and their relationships for their own sake, but where does it get us?  Well, consider again the Gnosis Schema:

alchemical_planetary_tetractys_paths_circuit1

Every time we traverse one of the three systems on this schema (Hot, Cold, or Cosmic), although there are four distinct paths and four distinct sphairai, there are actually five different steps.  Consider the Hot System: we begin at Mercury, proceed to Jupiter/Air, then to Mars/Fire, then to Sun/Sulfur, and then back to Mercury.  We proceed from the Monad to the Dyad to the Triad to the Tetrad to the Pentad…which then becomes the Monad for the next system.  As we proceed from our starting point, we undergo a process of analysis and synthesis; as we return to our starting point, we complete this process and prepare ourselves for the next process.  This completion/initiation point is the liminal sphaira of Growth, the Pentad, which is hidden from but implied by the numerical structure of the Tetractys itself.

Okay, but then this leaves two issues.  The first is that the process of the Gnosis Schema doesn’t take four steps, nor does it take ten steps; it takes twelve.  To use the astrological correspondences of the sphairai:

  1. Mercury → Jupiter
  2. Jupiter → Mars
  3. Mars → Sun
  4. Sun → Mercury
  5. Mercury → Moon
  6. Moon → Saturn
  7. Saturn → Venus
  8. Venus → Mercury
  9. Mercury → Fixed Stars
  10. Fixed Stars → The One
  11. The One → Earth
  12. Earth → Mercury

The fourth, eighth, and twelfth steps are where we leave one system to return back to Mercury so as to proceed to the next system on the Gnosis Schema.  If we elide the first two of these steps by considering that we only “pass through” Mercury, we can get down to ten:

  1. Mercury → Jupiter
  2. Jupiter → Mars
  3. Mars → Sun
  4. Sun → (Mercury) → Moon
  5. Moon → Saturn
  6. Saturn → Venus
  7. Venus → (Mercury) → Fixed Stars
  8. Fixed Stars → The One
  9. The One → Earth
  10. Earth → Mercury

This way of reckoning the transitions between one system and the next as seamless might be considered ideal, thinking of the whole process of traversing the Tetractys as a Decad unto itself, although a bit forced in my opinion.  Yes, if we start at Mercury, then we may not need to consider it as a distinct sphaira that we need to reckon again.  However, this thought leaves a funny taste in my mouth.  If we undergo the process of analysis and synthesis within one system after leaving Mercury, then when we return, we’re not the same person anymore, and Mercury will have new lessons to teach us before we proceed on to the next system.  As we change, so do the lessons we must learn.  After all, παντα ρει.  Besides this, having twelve distinct steps to traverse the Tetractys is a pleasant echo of the twelve signs that the Sun passes through during the course of the year (and, additionally, is the fundamental thought behind associating these paths with the signs of the Zodiac and the rest of the letters of the Greek alphabet onto the paths of the Tetractys).

alchemical_planetary_tetractys_gnosis_paths

So much for that issue, which turned out to be moot in the end.  The other is actually more notable, and goes back to our analysis of the first four numbers of the Decad before the Pentad (Monad through Tetrad) as “manifesting” and the second set after the Pentad (Hexad through Ennead) as “manifested”, the Upper and Lower Tetractyes, respectively, and how they relate to the three systems.  Say that we start at Mercury, and proceed around the Gnosis Schema along the twelve paths.  We know that every time we complete a system, we have gone through five sphairai, beginning with and ending at Mercury.

  1. Hot System
    1. Mercury
    2. Jupiter
    3. Mars
    4. Sun
    5. Mercury
  2. Cold System
    1. Mercury
    2. Moon
    3. Saturn
    4. Venus
    5. Mercury
  3. Cosmic System
    1. Mercury
    2. Fixed Stars
    3. The One
    4. Earth
    5. Mercury

Note how we attain the Decad, the Wholeness of Being, after only having completed the second Cold System without having gotten to the third Cosmic System.  When we come back to Mercury after the Cosmic System, we end up at the Pendedecad, rank 15, which is not a completed decad.  This is awkward, since it means that one trip around the Gnosis Schema is not enough.  Additionally, if we consider that the upper “manifesting” tetractys numbers (Monad through Tetrad) and the lower “manifested” numbers (Hexad through Ennead) are different experiences, then it means that we’ve only experienced half of each system by going through it only once.  So, to be a completionist and perfectionist about this, we’d need to go through the Gnosis Schema twice:

  1. Manifesting Hot System
    1. Mercury
    2. Jupiter
    3. Mars
    4. Sun
    5. Mercury
  2. Manifested Cold System
    1. Mercury
    2. Moon
    3. Saturn
    4. Venus
    5. Mercury
  3. Manifesting Cosmic System
    1. Mercury
    2. Fixed Stars
    3. The One
    4. Earth
    5. Mercury
  4. Manifested Hot System
    1. Mercury
    2. Jupiter
    3. Mars
    4. Sun
    5. Mercury
  5. Manifesting Cold System
    1. Mercury
    2. Moon
    3. Saturn
    4. Venus
    5. Mercury
  6. Manifested Cosmic System
    1. Mercury
    2. Fixed Stars
    3. The One
    4. Earth
    5. Mercury

In this way, we get to experience both a manifesting and manifested version of each system, going through both the yin/yang, masculine/feminine, active/passive aspects of each force in turn.  The first pass through the Gnosis Schema has us go through the manifesting/yang/masculine/active Hot system, composed of active and hot sphairai, then through the manifested/yin/feminine/passive Cold system, composed of passive and cold sphairai, and then through the manifesting Cosmic system so as to bring about divinity in our lives and worlds.  However, this is only half the equation for a complete experience of everything.  We would then need to undergo, maybe even “undo”, what we’ve done by continuing on the paths: we’d then undergo the manifested Hot system, then the manifesting Cold system, then the manifested Cosmic system so as to complete the process, and allow the divinity we’ve accomplished to become fully realized both within, through, and by us.

I make this sound like going through the Gnosis Path once is pointless until you do it a second time, but it’s not.  As we complete one iteration of the Gnosis Schema, we have gone through the ten states of the cosmos, the ten sphairai of the Tetractys, and have brought about completion.  However, in doing so, we prepare ourselves by this very completion to continue along this path in another, more natural, more intuitive way.  It’s akin to what’s said about one attaining K&CHGA in modern Western traditions: once you are under the tutelage of your Holy Guardian Angel, you complete your initiatory phase and begin your actual Work, since your HGA would lead you henceforth as teacher and tutor.  What happens after that is continuing along the Lightning Path of the Tree of Life, but in different ways above the Veil of Paroketh that mimic what was done below it but in a greater, grander magnitude.

To offer a parallel about this, I propose to think that that the first iteration of one’s trip around the Tetractys on the Gnosis Schema is meant to intentionally manifest one’s paredos or Agathodaimon by undergoing initiation in the three Systems, and the whole cosmos generally.  It is only after that, under the direction of the Agathodaimon, that one allows what was intentionally manifested before outside oneself to naturally manifest within oneself, and vice versa, to the cumulative effect that one not only brings God down into this world (first iteration), but that we become God ourselves in all worlds (second iteration).  I mean, I only propose to think this; I don’t yet claim that that’s what would actually happen, but it’s a useful way to think about it.  If true Gnosis is to be attained, then one must experience both sides of all coins, not just the shinier side; the darker, more hidden side would be impossible to experience without the aid of the divinity we’ve worked to manifest, and to become manifested as divinity ourselves would be even less likely.  If the manifesting and manifested aspects of the Tetractys are different, then going through each of the systems in its different aspect is as important as returning to Mercury after each individual system, since we are ourselves different after each individual process of analysis and synthesis.