Understanding the Six Gematria Systems
This chart condenses six complete letter-number mappings onto a single reference page. Each system assigns numerical values to the 26 English letters using different rules, producing different totals for the same word. If you have used the letters to numbers converter on AlphaCoder, you already know the English Ordinal column — it is the classic A=1, Z=26 mapping. The other five systems extend, compress, or rearrange that baseline.
English Ordinal is the foundation. Every other system derives from it or exists as a historical alternative. Full Reduction collapses ordinal values into single digits (1-9) by summing digits repeatedly — identical to finding the digit root. Reverse Ordinal mirrors the alphabet so Z=1 and A=26, creating a complementary value set. Reverse Reduction applies the digit-root operation to the reverse ordinal values.
Sumerian gematria multiplies ordinal positions by 6, referencing the base-60 number system of ancient Mesopotamia. This spreads values across a range of 6-156, reducing the likelihood of coincidental matches compared to the 1-26 ordinal range. Chaldean gematriastands apart from all the others: it ignores alphabetical position entirely and instead maps letters to values 1-8 based on sound vibration. The number 9 is never assigned to any letter because the Chaldeans considered it sacred and complete. This makes Chaldean the only system in the chart where knowing a letter's position tells you nothing about its value.
How to Read This Chart
Each row represents one letter. Each column represents one gematria system. To compute the gematria value of a word, look up each letter's value in the column of the system you care about, then sum them. For example, the word "CAT" in Sumerian gematria is C(18) + A(6) + T(120) = 144.
Use the filter buttons to show only the systems you need — useful for side-by-side comparison of two or three systems without visual clutter. Click any column header to sort the table by that system's values (ascending or descending). The copy buttons on each row and column let you grab values for pasting into a spreadsheet or document. The Print button produces a clean single-page reference sheet.
For computing full word or phrase values rather than individual letters, use the gematria calculator which handles the summation automatically. To find which words match a specific number, try the gematria search tool.
Chaldean vs. Pythagorean: The Two Ancient Schools
Numerology and gematria split into two major traditions. The Pythagorean (Western) system maps letters sequentially to numbers 1-9, cycling back after each set of nine letters. Full Reduction in our chart produces identical results to Pythagorean numerology for individual letters. The Chaldeansystem, older by several centuries, assigns values based on phonetic resonance rather than sequence. Its practitioners argue that sound, not position, determines a letter's true numerical identity.
The practical difference: in Pythagorean/Reduction, letters nine positions apart share the same value (A=1, J=1, S=1). In Chaldean, no such pattern exists — S=3, J=1, and A=1 are coincidentally close, but the rule is phonetic, not positional. Both systems are represented in this chart so you can compare them directly.