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Gematria · Hebrew script · cipher 19 of 23

Atbash: the alphabet folded end to end

Atbash is the cipher that exchanges each Hebrew letter for its mirror in the alphabet, alef for tav, bet for shin, gimel for resh, and the chart then takes the standard value of the result. The name spells its own rule, and the substitution is used in the Book of Jeremiah.

A table of the 22 Hebrew letters in alphabetical order with their values under Atbash: alef 400, bet 300, gimel 200, dalet 100, he 90, vav 80, zayin 70, het 60, tet 50, yod 40, kaf 30, lamed 20, mem 10, nun 9, samekh 8, ayin 7, pe 6, tsadi 5, qof 4, resh 3, shin 2, tav 1; the five final forms count 30, 10, 9, 6, 5. Atbash, read right to left א 400 ב 300 ג 200 ד 100 ה 90 ו 80 ז 70 ח 60 ט 50 י 40 כ 30 ל 20 מ 10 נ 9 ס 8 ע 7 פ 6 צ 5 ק 4 ר 3 ש 2 ת 1
The Atbash values of the 22 letters, in alphabetical order from alef; the five final forms follow the rule given in the facts.

Facts

Script
The 22 Hebrew letters and their five final forms; vowel points stripped
Rule
א ↔ ת, ב ↔ ש, ג ↔ ר … then the standard value; finals as their base
Tier in our chart
More: behind "more ciphers"
The name
Alef-tav-bet-shin: the first two pairs
Earliest use
Jeremiah 25:26 and 51:41, Sheshach for Babel, on the usual reading
Rabbinic use
Named among the letter permutations in the Talmud and midrash
Examples
שלום 112; נחש 71; אמת 411

Meaning

Atbash folds the alphabet in half end to end. The first letter changes places with the last, alef with tav, the second with the second-last, bet with shin, and so on to the middle, where kaf and lamed exchange. The name is made of the first two pairs, alef-tav and bet-shin. On its own, Atbash is a substitution: a word becomes another string of letters. Our chart then takes the standard value of the new string, so what it reports is the gematria of the Atbash form.

The substitution is old. In Jeremiah 25:26 and 51:41 the name Sheshach appears where Babel is meant, and Atbash turns ששך into בבל; in 51:1 Leb-kamai turns into Kasdim, the Chaldeans. That is the traditional and the usual scholarly reading. Why the prophet wrote so is a question of interpretation; concealment and wordplay have both been proposed. The rabbis later counted Atbash among the permutations by which a word could be read.

How it is counted

שלום, shalom, "peace", becomes בכפי: ב 2 + כ 20 + פ 80 + י 10 = 112.

נחש, nachash, "serpent", becomes טסב: ט 9 + ס 60 + ב 2 = 71.

אמת, emet, "truth", becomes תיא: ת 400 + י 10 + א 1 = 411.

The Babel example

ששך, Sheshach, under Atbash becomes בבל, Babel: shin to bet, shin to bet, final kaf to lamed. Its Atbash value is therefore Babel's standard value, 34, while its own standard value is 620. The example shows the two steps the chart keeps apart: the swap, which is the cipher, and the sum, which is the gematria.

The Chaldeans in Jeremiah 51:1

The second biblical example works the same way. Leb-kamai, לב קמי, "the heart of those who rise against me", becomes כשדים, Kasdim, the Chaldeans: lamed to kaf, bet to shin, qof to dalet, mem to yod and yod to mem. Its standard value is 182; its Atbash value, Kasdim's standard value, is 374. As with Sheshach, the substitution is the scholarly reading of the verse; the sums are what our chart adds.

Correspondences

Each item with how it stands: “sourced” is in the work cited, “our construction” is EsoTerrier’s own, and “disputed” means the sources disagree.

Jeremiah 25:26; 51:41
Sheshach, ששך, which Atbash turns into Babel, בבל sourced
Jeremiah 51:1
Leb-kamai, which Atbash turns into Kasdim, the Chaldeans sourced
Why Jeremiah used it
A reading, not a fact: concealment and wordplay are both proposed disputed
A substitution, then a sum
The swap is a cipher; the gematria is the value taken afterwards our construction

How the schools read it

The Hebrew Bible
Uses the substitution for Babel and the Chaldeans, on the traditional and scholarly reading.
The rabbis
Count it among the permutations by which a word may be read.
EsoTerrier
Behind "more ciphers": the swap, then the standard value.

Claims about it

  • A letter substitution such as Atbash is itself gematria.

    false

    What the record shows: The swap replaces letters and adds nothing; gematria is the sum. The chart does both steps and shows them apart.

Elsewhere on EsoTerrier

Sources

Primary texts (3)
  1. Solomon Schechter and Caspar Levias, "Gematria", The Jewish Encyclopedia (New York: Funk and Wagnalls, 1906). jewishencyclopedia.com/articles/6571-gematria
  2. The Open Scriptures Hebrew Bible (Westminster Leningrad Codex, CC BY 4.0) and the Robinson-Pierpont Greek New Testament (public domain). hb.openscriptures.org
  3. TorahCalc, gematria calculator of 25 Hebrew methods. Facts only. torahcalc.com/tools/gematria
Studies and other sources (1)
  1. "Gematria", Wikipedia (orientation only). en.wikipedia.org/wiki/Gematria
Our own research (2)
  1. EsoTerrier calculation engine, the gematria service and its documentation.
  2. EsoTerrier, example values of test words under every cipher, computed from the engine's tables (October 2026).

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By EsoTerrier. Written with AI assistance from our research and checked against its sources; last revised 24 October 2026. How we write these pages.

First published ; last revised . Corrections: support@esoterrier.com.