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The swap is often contrasted against Jewish Kabbalah and the Jewish tradition of gematria.
There is a technical logic to Crowley’s swap, but it is mostly Thelemic / Golden Dawn tarot-system logic, not a clean Hebrew-gematria or Jewish-kabbalistic logic.
Crowley’s own stated move is clear: the line in Liber AL says “Tzaddi is not the Star,” and in the New Comment he resolves it by saying Tzaddi is The Emperor, and Heh is The Star; therefore Aries and Aquarius are counterchanged, producing what he calls “perfectly, flawlessly symmetrical” tarot attributions. [1]
In Book of Thoth, he implements that literally: The Emperor is assigned to Tzaddi and Aries, while The Star is assigned to Heh and Aquarius. [2]
The problem is that this does not preserve the older Hebrew-letter astrology found in Sefer Yetzirah. In the Sefaria text, the twelve simple letters are tied to the zodiac, with Heh forming Aries and Tzadi forming Aquarius. [3]
That same structure is echoed in Crowley’s own 777 table before the swap: Heh = 5 = Aries = tarot IV, and Tzaddi = 90/900 = Aquarius = tarot XVII. [4]
So from the standpoint of Hebrew alphabet order and classical letter-zodiac attribution, the old system is actually cleaner.
Where Crowley’s move becomes “mathematical” is not gematria in the usual Jewish sense, but symmetry of tarot/zodiac geometry. He compares the Emperor/Star swap to the earlier Strength/Justice swap: Leo and Libra rotate around Virgo; Aries and Aquarius rotate around Pisces. His wording is explicit: Aries and Aquarius flank Pisces, just as Leo and Libra flank Virgo. [5]
In other words, he is treating the zodiac as a loop and introducing a second “twist” to balance the first one. That is elegant inside his tarot architecture, a bit like making the graph prettier after discovering one edge is crossed.
But as gematria, it is weak. Heh has the value 5; Tzaddi has 90 or final 900 in Crowley’s own table. [6]
The Emperor is IV, The Star is XVII. There is no obvious Hebrew numerical equation where 5 or 90 “proves” Emperor or Star. In fact, before the swap, the ordinal structure is elegant: Fool = 0, Magus = I, Empress = III, Emperor = IV, so Heh, the 5th Hebrew letter, naturally falls on the 5th trump if the Fool is counted as zero. Likewise Tzaddi, the 18th letter, naturally falls on Trump XVII as the 18th trump. Crowley’s swap breaks that.
There is one cute gematric coincidence, though: the Hebrew zodiac names for Aries and Aquarius both total 44 in standard gematria. Aries, טלה, is 9 + 30 + 5 = 44; Aquarius, דלי, is 4 + 30 + 10 = 44. Crowley’s own table gives these Hebrew sign spellings and the component letter values. [6]
That makes Aries/Aquarius a surprisingly “legal-looking” pair to exchange at the level of sign-names. But that is a supporting curiosity, not a derivation. It does not explain why Tzaddi, specifically, should become Aries.
From a Jewish mystical standpoint, the swap is hard to defend as traditional Kabbalah. Sefaria’s Sefer Yetzirah material gives the basic letter-zodiac map, and Rabbeinu Bahya also describes the 22 Hebrew letters as corresponding to wind/water/fire, the seven fixed stars/planets, and the 12 zodiac signs. [7]
None of that requires tarot, and none of it suggests swapping Heh and Tzaddi. So if the test is “does this preserve Hebrew/Kabbalistic letter attribution?” the answer is no.
Crowley’s swap is important and logical within Crowley’s initiatory tarot system, because it makes the Thoth deck’s symbolic architecture line up with his reading of Liber AL and with his desired zodiacal symmetry. But it is not logically compelled by Hebrew gematria or classical Jewish mysticism. It is a deliberate Thelemic override of the older Sefer Yetzirah-style correspondences — elegant as occult engineering, but not “kosher” as Hebrew-letter tradition.
Crowley’s stated reason is this: Liber AL forced him to re-examine the inherited Golden Dawn tarot attributions. In Book of Thoth, he says the phrase “Tzaddi is not the Star” answered his own mental doubt about whether the old attributions were right. He says he tried for years to solve the problem, and only much later saw that The Star must be exchanged with The Emperor. The New Comment gives the same solution: Tzaddi = Emperor, Heh = Star, with Aries and Aquarius counterchanged. [8]
The strongest technical reason he gives is zodiacal symmetry. Crowley says the earlier Golden Dawn correction had already swapped Justice and Strength, producing a balanced rotation around Virgo: Leo and Libra on either side of Virgo. His Emperor/Star swap creates a matching symmetry around Pisces: Aries and Aquarius on either side of Pisces. So the “why” is not primarily gematria; it is a structural correction to the zodiacal sequence of the tarot trumps. [9]
The more interesting clue is that the command “Tzaddi is not the Star” appears in Liber AL immediately after language about the “law of the fortress” and the “House of God.” Crowley identifies the House of God with the Tower, Atu XVI, and in Book of Thoth he explicitly connects the Tower card to that verse. That matters because the Tower is Mars, while the Emperor is Aries, a Mars-ruled sign. So the hidden trail may run: House of God / Tower / Mars → Aries → Emperor, rather than simply “Star is wrong, swap two labels.” That is an inference, but it is a pretty strong one inside Crowley’s own symbolic map. [10]
Crowley also gives a symbolic reason for why The Star becomes Heh. In Book of Thoth, The Star is Nuit, the Lady of the Stars, pouring from two vessels; he links the imagery to the Great Mother, Binah, the Sea, and Babalon as a materialization of Nuit. Elsewhere in the same chapter, he says it is natural for the Great Mother to be attributed to Heh, because Heh is “her letter” in Tetragrammaton. That is probably the most coherent internal reason for removing Heh from the Emperor and giving it to the Star. [11]
For the opposite half, Crowley tries to justify why The Emperor becomes Tzaddi by phonetics and rulership imagery. In Book of Thoth, the Emperor is Aries, fiery authority, paternal creative force, and power descending from Chokmah to Tiphareth. He then says the sound-root TZ / TS appears in words of rulership such as Tsar, Czar, Caesar, Senior, Seigneur, Signor, and Sir. This is not traditional Hebrew gematria; it is Crowley’s comparative-philological occult wordplay. But within his system, it gives Tzaddi a “ruler” flavor rather than an “Aquarian Star” flavor. [12]
There is also a striking breadcrumb in Book of Lies. In the commentary to “Ninety-One,” Crowley says 90 is the number of Tzaddi, and then describes “the Star” in its exoteric sense as the naked woman by the stream. That is fascinating because it suggests he already regarded the Tzaddi-Star attribution as a surface-level or outward meaning, not necessarily the final secret one. It is not the full solution, but it is exactly the kind of sideways hint one would expect from Crowley. [13]
A second possible hidden clue appears in Liber Arcanorum. In the stanza numbered 4, corresponding to the Emperor position, Crowley writes of dominion being established in the “Star of the Flame.” That does not explicitly say “Tzaddi is the Emperor,” but it does entangle Emperor-number symbolism, dominion, star imagery, and fire/Horus imagery before the later Book of Thoth exposition. The stanza for 17, the Star position, also makes the “holy virgin” undergo a fiery transformation rather than presenting the Star as merely passive or watery. [14]
But the cross-referencing also reveals a real problem. In Crowley’s older 777-style tables, the pre-swap system is clean: Heh = Aries = Emperor, and Tzaddi = Aquarius = Star. The Tree of Life paths also fit that older arrangement: the Aries/Emperor path joins Chokmah to Tiphareth, while the Aquarius/Star path joins Netzach to Yesod. Yet in Book of Thoth, after the swap, Crowley still describes the Emperor’s authority as descending from Chokmah to Tiphareth — the old Heh/Aries/Emperor path. So the swap is not a simple “put Emperor onto Tzaddi’s old Tree path.” It is more like Crowley is correcting the tarot-letter keys while preserving zodiacal and Tree-of-Life functions in a more complicated double register. [15]
And there is one more complication from Liber Aleph: Crowley elsewhere says the “Letter of the Man” is Tzaddi, whose number is 90, and links it with Maim, water. That sounds much closer to the older Aquarius/man/water symbolism than to Aries/Emperor/fire. So across Crowley’s corpus, Tzaddi does not become purely “Emperor-like.” It retains older Aquarian and watery resonances even after the formal tarot correction. [16]
Crowley’s real reason was not gematria. It was a Thelemic correction of tarot’s zodiacal architecture, triggered by Liber AL and solved through symmetry. The swap allowed him to make The Star into a more perfect image of Nuit / Heh / Great Mother, and The Emperor into Tzaddi / rulership / Aries / Horus-force. But the deeper one digs into his own symbolic tables, the more it looks like a deliberate esoteric override rather than a clean restoration of Hebrew-letter tradition.
In other words: Crowley’s swap is internally meaningful, and (likely) not random. But it is “logical” in Crowley’s sense of symbolic Qabalah — poetic, geometrical, phonetic, initiatory — not in the stricter sense of Hebrew gematria or inherited Jewish letter astrology.
In that is Thelema. Do What Thou Wilt, indeed.
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