Research Dispatch

Cipher-418 #9

Analysis of the Liber AL cipher through four analytical strata —


Mathematical, Semantic, Visual, and Historical.

March 09, 2026

607 Findings

431 MC Validated

4 Worlds

540 Top Score

English Qaballa — Solution 34

Derived from Liber AL II:76.
Step of 11 (mod 26) through the alphabet. Elevated values at F, O, P, Q, R, X.

A=1	B=2	C=20	D=3	E=4	F=80	G=7	H=6	I=10
J=10	K=20	L=30	M=40	N=50	O=70	P=80	Q=100	R=200
S=60	T=8	U=6	V=6	W=6	X=300	Y=10	Z=7

Four Worlds Coverage

♆
Mathematical/Archetypal


429
71%

♃
Semantic/Creative


70
12%

☿
Manuscript/Visual


52
9%

♁
Historical/Material


56
9%

♃ Briah — Semantic/Creative

HALF CONCEALED THE LAW = 374 = SQUARED = FORCE
★★★
360

p = 0.000010  •  ♃

FORCE = SQUARED = 374 = 11 x 34 = MAGICK x KEY. Cross-verse equality: III:72 “Force of Coph Nia” = III:47 “circle squared”. Originally claimed CONCEALMENT also = 374 but CONCEALMENT = 297. The FORCE/SQUARED equality is the real finding.

☿ Yetzirah — Manuscript/Visual

Triple-Fold Specific: All 4 unique values (THELEMA+NOT+PAN+NUIT+NOX) simultaneously
★★★
405

p = 0.000010  •  ☿

Testing whether all 4 specific triple-fold target values (93=THELEMA, 128=NOT, 131=PAN+NUIT, 210=NOX) appear simultaneously: 0/100k permutation matches, 1/100k random EQ matches. The specific constellation of values is almost impossible to reproduce by chance.

♁ Assiah — Historical/Material

TOLTORG (Creatures) = 393 = CIRCLE
★★★
240

p = 0.000850  •  ♁

TOLTORG (Creatures of Fire) = 393 ≠ CIRCLE(284). Original equality claim debunked. TOLTORG=393 itself may still be interesting but not = CIRCLE.

♆ Atziluth — Mathematical/Archetypal

540


SCORE

Cipher digit elements sum = 143 = 11×13 = MAGICK×UNITY (EQ-independent)

unvalidated  •  Confidence 10/10  •  ♆

The 9 numeric elements of the cipher (4,6,3,8,2,4,3,24,89) sum to 143 = 11×13 = MAGICK×UNITY. This is EQ-INDEPENDENT — it holds regardless of letter-value assignment. The numerical backbone of the cipher encodes the product of the two foundational numbers.

Hermetic Layer — Cipher as Tarot Sequence

The 28 Elements as Hebrew Paths

Each cipher element maps to a Hebrew letter by EQ value, carrying
Tarot, planetary, and zodiacal attributions.

Opening Sequence — Cipher Numbers 4 · 6 · 3 · 8

Number	Hebrew	Tarot	Attribution
4	ד Daleth	The Empress	♀ Venus
6	ו Vav	The Hierophant	♉ Taurus
3	ג Gimel	The Priestess	☽ Moon
8	ח Cheth	The Chariot	♋ Cancer

All feminine/receptive — Venus rules Taurus, Moon rules Cancer.


The inner attributions confirm the outer.

Three Mother Letters — The Elemental Axis

The cipher contains three of the four elements via Mother Letters.
Earth (Tav) is absent — the cipher operates in active elements only.

A Aleph · Air The Fool

M Mem · Water Hanged Man

X Shin · Fire The Aeon

A + M + X = 341 = 11 × 31 = MAGICK × AL


3A + M + X = 343 = 7³

---

CIPHER-418 REFERENCE GUIDE

What is the cipher?
Liber AL vel Legis (The Book of the Law), received by Aleister Crowley in Cairo, 1904, contains a cryptographic passage in verse II:76:
4 6 3 8 A B K 2 4 A L G M O R 3 Y X 24 89 R P S T O V A L
— 28 elements (9 numbers + 19 letters) followed by the instruction: “What meaneth this, o prophet? Thou knowest not; nor shalt thou know ever. There cometh one to follow thee: he shall expound it.”

What is EQ (English Qaballa)?
EQ, also called “Solution 34” or ALW cipher, is a letter-value system derived from the cipher itself. Each of the 26 English letters maps to a specific number:
A=1 B=2 C=20 D=3 E=4 F=80 G=7 H=6 I=10 J=10 K=20 L=30 M=40 N=50 O=70 P=80 Q=100 R=200 S=60 T=8 U=6 V=6 W=6 X=300 Y=10 Z=7
Under this system, words and phrases can be “weighed” — and doctrinally significant words consistently produce doctrinally significant numbers.

Target values.
38 numbers with established meaning in Thelemic and Qabalistic tradition serve as benchmarks. Key examples:
11=MAGICK, 13=UNITY, 31=AL (the Book), 34=KEY (the EQ solution itself),
47=VALUE, 93=THELEMA/AGAPE, 156=BABALON, 210=NOX,
302=NUMBER, 374=SQUARED, 418=ABRAHADABRA, 666=the Beast.

Monte Carlo (MC) validation.
Every finding undergoes statistical testing via 100,000 randomized trials to answer: “Could this have happened by chance?” Up to three independent tests are run depending on finding type:

• Permutation test — shuffles the cipher’s values while keeping the letter assignments fixed. Measures whether the arrangement matters. (Applies to cipher-structure findings.)
• Random EQ test — shuffles which numbers are assigned to which letters, keeping the cipher’s structure fixed. Measures whether the value system matters. (Applies to all word/phrase findings.)
• Positional test — given that N phrases in the entire Book hit a target value, measures the probability that at least one lands in a specific verse. Measures whether the location matters. (Applies to verse-level phrase findings.)

A finding that passes multiple independent tests is “multiply confirmed.”
Results are reported as p-values: p=0.001 means only 1 in 1,000 random trials matched or exceeded the real result. Lower is more significant.
☆ = p < 0.05 (significant), ☆☆ = p < 0.01, ☆☆☆ = p < 0.001. When independent tests are combined, their p-values multiply (e.g. p=0.001 × p=0.017 = p=0.000017).

Scoring.
Each finding receives a composite score: confidence × significance × min(-log₁₀(p), 6).
Confidence (1–10) reflects how certain the claim is.
Significance (1–10) reflects how important it would be if true.
The MC factor rewards stronger statistical evidence, capped at p=10^-6.

What this research programme does.
We systematically test every proposed pattern in the Liber AL cipher — letter sums, positional structures, cross-verse equations, Enochian cross-references, manuscript features — and subject each one to Monte Carlo validation. The goal is to separate genuine signal from coincidence, building toward a complete mathematical exposition of the cipher’s structure.

Sacrarium Serpentis Stellae • Cipher-418 Research Programme • All dispatches

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