Methods and ciphers

There is no single gematria — there are many, grouped by alphabet (Hebrew, Greek, Arabic, English) and then by counting rule within each alphabet. The practical landscape in 2026 looks like this:

Family	Method	Status
Hebrew	Mispar Hechrachi (Standard)	The default in classical Jewish use
Hebrew	Mispar Gadol (with finals)	Common in Kabbalistic exegesis
Hebrew	Mispar Katan (Reduction)	Numerology-style; widely used informally
Hebrew	Mispar Siduri (Ordinal)	Modern; mostly pedagogical
Hebrew	Atbash	An ancient substitution cipher, used as a gematria lens
Greek	Isopsephy	The Greek equivalent of Mispar Hechrachi
Arabic	Abjad	The Arabic letter-value system
English	English Ordinal	A=1 … Z=26. The modern default
English	English Reduction	Reduce ordinal to a digit per letter
English	Reverse Ordinal	A=26 … Z=1
English	English Sumerian / "English Gematria"	Ordinal × 6

This doc walks each one with a worked example.

GeMater today implements three of these as primary methods (Simple = English Ordinal, English = English Sumerian, Jewish = a transliterated Hebrew Standard). Adding Atbash, Reduction, and Reverse Ordinal is the next planned engine extension.

---

Hebrew methods

The Hebrew alphabet has 22 letters. Five of them (Kaf, Mem, Nun, Pe, Tzadi) have final forms used at the end of a word — these matter for some methods and not others.

Mispar Hechrachi (Standard / Absolute)

The most-used Hebrew gematria. Letter-value table:

Letter	Aleph	Bet	Gimel	Dalet	He	Vav	Zayin	Het	Tet	Yud	Kaf	Lamed	Mem	Nun	Samekh	Ayin	Pe	Tzadi	Qof	Resh	Shin	Tav
Value	1	2	3	4	5	6	7	8	9	10	20	30	40	50	60	70	80	90	100	200	300	400

Worked example: תורה (Torah) = Tav (400) + Vav (6) + Resh (200) + He (5) = 611.

Mispar Gadol (with final letters)

Identical to Standard, except the five final-letter forms get values 500–900:

Final	Kaf-sofit	Mem-sofit	Nun-sofit	Pe-sofit	Tzadi-sofit
Value	500	600	700	800	900

A word ending in a final form gets a different total under Gadol than under Standard. Example: אלהים (Elohim) ends in Mem-sofit, so Standard = 86, Gadol = 86 + 560 = 646 (the 40 for medial Mem is replaced by 600 for the final form). Some Kabbalists prefer Gadol because it gives every distinct written form its own number.

Mispar Katan (Reduction)

Drop the trailing zeros — every letter is reduced to a single digit. Aleph=1, Yud=1, Qof=1; Bet=2, Kaf=2, Resh=2; and so on. Equivalent to taking the digital root of each letter's Standard value and summing those roots.

Worked example: תורה = Tav(4) + Vav(6) + Resh(2) + He(5) = 17, then optionally reduced again to 8.

This is the bridge between Hebrew gematria and Pythagorean numerology; the practical content is similar.

Mispar Siduri (Ordinal)

Pure position 1–22. Aleph=1, Bet=2 … Tav=22. תורה = 22 + 6 + 20 + 5 = 53.

Mostly used as a teaching tool — easier for beginners than Standard.

Atbash

A substitution cipher, not a counting rule: swap each letter with its mirror in the alphabet (Aleph ↔ Tav, Bet ↔ Shin, Gimel ↔ Resh …). The result is a new word — and that new word can then be evaluated under any other method.

Atbash is older than most gematria — it appears in the Book of Jeremiah, where "Sheshakh" (שֵׁשַׁךְ) is Atbash for "Bavel" (בבל / Babylon). It's the canonical example of a biblical cryptogram.

For an English Atbash: CAT → XZG (because A↔Z, B↔Y, C↔X …, T↔G). Then take the value of XZG under English Ordinal = 24 + 26 + 7 = 57.

Other Hebrew methods worth knowing

There are at least 20 more named Hebrew methods (TorahCalc lists ~25): Mispar Boneeh (running sum), Mispar Kidmi (triangular numbers), AtBach, AlBam, Mispar Meshupach, etc. They are mostly variations on substitution and accumulation. For practical use cases outside Kabbalah, the five above cover the field.

---

Greek isopsephy

The Greek alphabet shares the Phoenician root with Hebrew, and its letter-numbers parallel it:

Letter	Α	Β	Γ	Δ	Ε	Ϝ	Ζ	Η	Θ	Ι	Κ	Λ	Μ	Ν	Ξ	Ο	Π	Ϟ	Ρ	Σ	Τ	Υ	Φ	Χ	Ψ	Ω	Ϡ
Value	1	2	3	4	5	6	7	8	9	10	20	30	40	50	60	70	80	90	100	200	300	400	500	600	700	800	900

Three archaic letters (digamma Ϝ, koppa Ϟ, sampi Ϡ) are kept as numerals only, so the full table covers 1–900 the same way Hebrew Gadol does.

Worked example: Ἰησοῦς (Iēsoûs, Jesus) = 10 + 8 + 200 + 70 + 400 + 200 = 888. (Yes, the contrast with 666 in Revelation is the point.)

---

Arabic abjad

Letter	ا	ب	ج	د	ه	و	ز	ح	ط	ي	ك	ل	م	ن	س	ع	ف	ص	ق	ر	ش	ت	ث	خ	ذ	ض	ظ	غ
Value	1	2	3	4	5	6	7	8	9	10	20	30	40	50	60	70	80	90	100	200	300	400	500	600	700	800	900	1000

The Arabic table reaches 1000 because Arabic has 28 letters. Worked example: الله (Allāh) = 1 + 30 + 30 + 5 = 66.

Sufi commentary and chronogram poetry both use abjad heavily.

---

English methods

There is no single "English gematria" — there are several, all of them modern (19th–21st century). The four most-used:

English Ordinal

A=1, B=2, …, Z=26. The cleanest cipher; the closest English analogue to Mispar Siduri.

Worked example: TORAH = 20 + 15 + 18 + 1 + 8 = 62.

(In GeMater, this is the "Simple" method.)

English Reduction (a.k.a. Full Reduction, Pythagorean)

Reduce each ordinal value to a single digit (so J=1, S=1, T=2, B=2, K=2, …).

Worked example: TORAH = 2 + 6 + 9 + 1 + 8 = 26.

This is essentially Pythagorean numerology applied to gematria conventions.

Reverse Ordinal

A=26, B=25, …, Z=1. The mirror of English Ordinal.

Worked example: TORAH = 7 + 12 + 9 + 26 + 19 = 73.

English Sumerian / "English Gematria"

English Ordinal × 6.

Worked example: TORAH = 62 × 6 = 372.

This cipher was popularised by R. A. Waterman in the 1990s and adopted by the "Gematria Effect" decoder community. The × 6 makes English sums fall in a numeric range roughly comparable to Hebrew Standard, which is the reason it caught on.

(In GeMater, this is the "English" method.)

Why so many?

Because none of them are objectively "right" — English wasn't a sacred language with a thousand-year tradition of letter-number identity. Every English cipher is an inference about what the Hebrew/Greek systems were for, then a reconstruction of an analogous tool. The Crowley camp, the Pythagorean-numerology camp, the decoder-community camp, and the linguists each made different choices, and all those choices persist.

---

Quick reference: methods GeMater exposes

GeMater label	Industry name	Formula	Range
Simple	English Ordinal	letter position	1 (A) – 26 (Z)
English	English Sumerian	position × 6	6 (A) – 156 (Z)
Jewish	Hebrew Standard (transliterated to A–Z)	Hebrew letter-value mapped onto Latin letters	1 – 900
Atbash (planned)	Atbash	mirror-substitute, then sum ordinals	per-letter 1–26
Reduction (planned)	English Reduction	digital root of each ordinal, summed	per-letter 1–9
Reverse (planned)	Reverse Ordinal	27 − ordinal, summed	per-letter 1–26

The "Jewish" mapping in our engine is a transliteration shortcut so users can type Latin letters and get a Hebrew-flavoured result; it isn't a substitute for typing in Hebrew script. (Hebrew-script input is a future feature.)