Abjad and Gematria

Hebrew and Arabic — the two great Semitic literary languages — share a consonantal alphabet whose letters double as numerals. Each letter has a fixed numerical value; any word, phrase, or verse can therefore be summed into a number. From this simple correspondence emerge two of the deepest letter-number traditions in world history: Hebrew gematria and Arabic ḥisāb al-jummal / Abjad numerology. This article documents both systems, their canonical values, their historical development, their methods, and the talismanic and exegetical traditions they support.

The shared substrate#

Both Hebrew and Arabic descend from Northwest Semitic and inherit the order of letters from Phoenician — the same order from which Greek (alpha–beta) and Latin (a–b) ultimately derive. In every Semitic alphabet:

• The first nine letters take values 1–9.
• The next nine letters take values 10–90 (in tens).
• The remaining letters take values 100–400 (Hebrew) or 100–1000 (Arabic).

Greek inherited the same scheme (alpha = 1, kappa = 20, rho = 100), and the system survived in Greek isopsephy ("equal pebble" — the Greek term parallel to gematria). Letter-as-numeral is the original Mediterranean practice; positional Hindu-Arabic numerals (0–9 with place value) only displaced it in Europe between the 11th and 16th centuries.

Hebrew Gematria#

The 22 Hebrew letters and their numerical values:

| Letter | Name | Value | Letter | Name | Value | |---|---|---|---|---|---| | א | Aleph | 1 | ל | Lamed | 30 | | ב | Bet | 2 | מ | Mem | 40 | | ג | Gimel | 3 | נ | Nun | 50 | | ד | Dalet | 4 | ס | Samekh | 60 | | ה | He | 5 | ע | Ayin | 70 | | ו | Vav | 6 | פ | Pe | 80 | | ז | Zayin | 7 | צ | Tsade | 90 | | ח | Het | 8 | ק | Qof | 100 | | ט | Tet | 9 | ר | Resh | 200 | | י | Yod | 10 | ש | Shin | 300 | | כ | Kaf | 20 | ת | Tav | 400 |

Five letters take alternate "final" forms when at the end of a word (kaf-sofit ך, mem-sofit ם, nun-sofit ן, pe-sofit ף, tsade-sofit ץ). Some gematria methods assign the finals values 500, 600, 700, 800, 900 — extending the range to 1–900 and producing an exact decimal mapping of three orders of magnitude.

Methods of gematria#

The Talmudic and later Kabbalistic literature distinguishes multiple gematria methods. The principal ones:

1. Mispar Hechrachi ("absolute value") — straight sum of the standard values.
2. Mispar Sofit — sum using the 500–900 final values.
3. Mispar Katan ("small number") — reduce each letter to a single digit (10 → 1, 30 → 3, etc.); sum the reductions.
4. Mispar Katan Mispari — like Mispar Katan, then reduce the total to a single digit by repeated digit-summing.
5. Mispar Gadol ("great number") — finals get 500–900.
6. Mispar HaPanim ("face value") — letters ordered by their position in the alphabet (1st, 2nd, ..., 22nd) rather than by numerical value.
7. Mispar Shemi ("name value") — sum the values of the letters spelling out each letter's name (e.g., aleph = א + ל + ף = 1 + 30 + 80 = 111).
8. Atbash — substitute each letter with its mirror in the alphabet (aleph ↔ tav, bet ↔ shin, ...). Common in apocalyptic and prophetic literature; used in Jeremiah 25:26 and 51:41 to encode "Babel" as "Sheshakh."

These methods produce different numerical fingerprints for the same word — multiplying interpretive possibility.

Historical use#

• Tanakh and the Talmud. Gematria appears explicitly in some midrashic readings; the Talmud (Eruvin 27b, Nazir 5a) recognizes the method as legitimate exegesis.
• Sefer Yetzirah ("Book of Formation"; redacted between the 3rd and 6th centuries CE) — assigns the 22 letters to three classes (3 mothers, 7 doubles, 12 simples) corresponding to elements, planets, and zodiac signs. The text is foundational to subsequent Kabbalistic numerology.
• Sefer ha-Bahir (12th century) and the Zohar (late 13th century, attributed to Moses de León) — extensive Kabbalistic readings of Torah verses through gematria.
• Tikkunei Zohar — uses gematria to derive the Sefirotic structure from divine names.
• Abulafian prophetic Kabbalah (Abraham Abulafia, late 13th c.) — letter-permutation as meditative method.
• Modern Kabbalah — ongoing scholarly and devotional use; e.g., אהבה (ahavah, love) = 1+5+2+5 = 13; אחד (echad, one) = 1+8+4 = 13; the equivalence is read as: love is the experience of one-ness.

The Tetragrammaton and 26#

The four-letter divine name יהוה (YHVH) has gematria value 10+5+6+5 = 26. The number 26 appears across Jewish liturgy, theology, and mystical literature as the numeric signature of the Holy Name. Many Kabbalistic computations resolve into multiples of 26 (or its cube root, the Tetragrammaton's "axis").

Arabic Abjad / Ḥisāb al-Jummal#

The Arabic alphabet has 28 letters but its earliest numerical use was based on a different ordering — the abjadī sequence — that follows the Northwest Semitic letter order rather than the modern Arabic dictionary order (which sorts by letter shape). The name "Abjad" itself is a memory verse formed from the first four letters in the abjadī order: A-B-J-D.

The 28 Arabic letters and their Abjad values (Eastern Arabic / al-mashriqī ordering):

| Letter | Name | Value | Letter | Name | Value | |---|---|---|---|---|---| | ا | Alif | 1 | ع | ʿayn | 70 | | ب | Bāʾ | 2 | ف | Fāʾ | 80 | | ج | Jīm | 3 | ص | Ṣād | 90 | | د | Dāl | 4 | ق | Qāf | 100 | | ه | Hāʾ | 5 | ر | Rāʾ | 200 | | و | Wāw | 6 | ش | Shīn | 300 | | ز | Zāy | 7 | ت | Tāʾ | 400 | | ح | Ḥāʾ | 8 | ث | Thāʾ | 500 | | ط | Ṭāʾ | 9 | خ | Khāʾ | 600 | | ي | Yāʾ | 10 | ذ | Dhāl | 700 | | ك | Kāf | 20 | ض | Ḍād | 800 | | ل | Lām | 30 | ظ | Ẓāʾ | 900 | | م | Mīm | 40 | غ | Ghayn | 1000 | | ن | Nūn | 50 | | | | | س | Sīn | 60 | | | |

A second ordering, al-maghribī (Maghrebi / Western), used in North Africa and Andalusia, exchanges the values of several letters; this article uses the Eastern ordering, which is canonical for talismanic literature. The full memory verse for the Eastern order is:

أَبْجَدْ هَوَّزْ حُطِّيْ كَلَمَنْ سَعْفَصْ قَرَشَتْ ثَخَذْ ضَظَغْ abjad hawwaz ḥuṭṭī kalaman saʿfaṣ qarashat thakhadh ḍaẓagh

The Buduh magic square#

The most influential Arabic letter-number construction is the buduh (بُدُوحْ) magic square — a 3×3 grid containing the digits 1–9 arranged so every row, column, and diagonal sums to 15. The Arabic letters spelling the magic-word buduh have numerical values 2-4-6-8 (corner cells of the square), and this gives the square its talismanic name.

4 9 2
3 5 7
8 1 6

In Arabic-script form, with letter values: ب-د-و-ح at the corners, mediated by the centerline ج-ه-ز (3-5-7).

The buduh square is engraved on talismans, written on amulets, and inscribed on walls of houses across the Islamic world for protection in childbirth, safe travel, and against thieves. It is the most widely reproduced occult diagram in Islamic civilization.

The Lo Shu magic square in Chinese cosmology is identical to buduh in arrangement, suggesting either independent discovery or extremely ancient transmission across the Eurasian steppe.

Larger magic squares#

The Arabic talismanic tradition extends beyond the 3×3 to:

• 4×4 squares (sum 34) associated with Jupiter
• 5×5 squares (sum 65) associated with Mars
• 6×6 squares (sum 111) associated with the Sun
• 7×7 squares (sum 175) associated with Venus
• 8×8 squares (sum 260) associated with Mercury
• 9×9 squares (sum 369) associated with the Moon

The planetary attributions follow the Picatrix–Ghāyat al-Ḥakīm tradition (10th-c. Arabic, translated into Latin by 1256). See also the Manāzil al-Qamar module's documentation of planetary squares in talismanic practice.

Chronograms#

A practice developed especially under the Ottoman, Persian, and Mughal courts: Arabic, Persian, or Turkish poets compose a phrase whose Abjad sum equals the year of a commemorated event — the death of a sultan, the founding of a mosque, the completion of a manuscript. The chronogram (tāʾrīkh) is then carved into the building or set in the colophon as a date marker.

A famous example: the Persian phrase "بود تاریخ تاج محل" ("the date of the Taj Mahal") computes to AH 1042 (CE 1632), corresponding to Mumtaz Mahal's death and the start of the tomb's construction.

Talismanic Abjad#

Abjad numerology is foundational to Arabic-Islamic taʿwīdh, ḥuruf (letter mysticism), and ʿilm al-asrār (science of secrets) traditions. The Shams al-Maʿārif of al-Būnī (d. ca. 1225 CE) is the most-copied Arabic occult text; it integrates Abjad numerology, magic squares, divine names, and Lunar-Mansion-keyed talismanic operations. Its influence reaches:

• The Picatrix and the European Renaissance grimoire tradition through Hispano-Arabic transmission.
• North African and West African Islamic talismans, where Abjad squares are reproduced on parchment and leather amulets to this day.
• Persian and South Asian Sufi practices.

Method comparison: gematria and Abjad#

| Feature | Hebrew Gematria | Arabic Abjad | |---|---|---| | Alphabet size | 22 base + 5 finals | 28 | | Maximum value (single letter) | 400 (or 900 with finals) | 1000 | | Direction read | Right to left | Right to left | | Decimal range coverage | 1–400 (1–900 with finals) | 1–1000 | | Method variants | Many (Hechrachi, Sofit, Katan, Atbash, etc.) | Fewer (jummal kabīr, jummal ṣaghīr); chronograms | | Canonical occult text | Sefer Yetzirah; Zohar | Shams al-Maʿārif; Picatrix | | Talismanic use | Letter-permutation (Abulafia); Sefirot mapping | Magic squares (buduh); planetary squares; chronograms |

Greek isopsephy — the cousin tradition#

Greek used the same letter-as-numeral scheme until late antiquity, when Indian-Arabic place-value numerals displaced it. Famous isopsephic equations include:

• ΙΗΣΟΥΣ (Iēsous, Jesus) = 888 (the value used by early Christian numerology to oppose 666).
• ΘΕΟΣ (Theos, God) = 284.
• The Number of the Beast (Apocalypse 13:18, "his number is 666") — almost certainly an isopsephic encoding of Nero Caesar in Hebrew transliteration: נרון קסר = 50+200+6+50 + 100+60+200 = 666.

Greek isopsephy survives mainly in scholarship today, but it confirms the broader Mediterranean letter-number practice that gematria and Abjad continue.

Practical uses today#

Gematria and Abjad remain living practices, not historical curiosities:

• Liturgical. Specific gematria coincidences are recited in Hassidic and Sephardic liturgy as evidence of divine ordering.
• Naming children. Some families compute gematria fits for proposed names against a verse from the parashah of the child's birth week.
• Sermons and dvarim Torah. Gematria is a standard tool of expository Jewish preaching.
• Talismanic. Across the Islamic world, Abjad-derived squares and letter compositions remain in use on amulets, in taʿwīdh practices, and in geomantic divination derived from Abjad sums.
• Modern Kabbalistic study circles. Gematria-as-meditation continues in both traditional yeshivot and contemporary Jewish-renewal communities.

Connection to this knowledge base#

• The Manāzil al-Qamar module documents the 28 lunar mansions, each with planetary squares and Abjad-keyed talismans drawn from the same al-Būnī / Picatrix tradition this article describes.
• The African Diaspora module includes traditions where talismanic Arabic letter-number practice (especially in West Africa — Senegal, Mauritania, Mali, northern Nigeria) is integrated into Tijani and Qadiri Sufi practice.
• The Sacred Geometry module documents Islamic geometric art, which shares a mathematical foundation with magic-square construction.
• The Binary Divination article in this module covers the parallel African binary-numeric tradition that complements rather than competes with the Semitic letter-number tradition.

Sources#

• Burnett, Charles. Magic and Divination in the Middle Ages. Variorum, 1996. (For the Hispano-Arabic transmission to Latin Europe.)
• al-Būnī, Aḥmad ibn ʿAlī. Shams al-Maʿārif al-Kubrā. (Multiple Arabic editions; partial English studies in Saif and Coulon.)
• Coulon, Jean-Charles. La magie en terre d'islam au Moyen Âge. CTHS, 2017.
• Idel, Moshe. Kabbalah: New Perspectives. Yale University Press, 1988.
• Idel, Moshe. Absorbing Perfections: Kabbalah and Interpretation. Yale University Press, 2002.
• Kaplan, Aryeh. Sefer Yetzirah: The Book of Creation. Weiser Books, 1997.
• Saif, Liana. The Arabic Influences on Early Modern Occult Philosophy. Palgrave Macmillan, 2015.
• Scholem, Gershom. Kabbalah. Quadrangle, 1974.
• Steele, Robert (ed.). The Picatrix. (Translation history; see also Pingree's edition of the Latin Picatrix.)
• Tirosh-Samuelson, Hava. Happiness in Premodern Judaism. HUC Press, 2003. (For ethical and philosophical contexts.)