**Ideal Form: chelek hamishkhal**^{1}

numerical equivalence between two words where each word also has the same number of letters; subcategories include *chelek hachibur* and *chelek haperud* where some letters may be combined or separated to form other letters

**9 principle ways**^{1} for calculating word values:

1. *mispar hame’ugal* (the round number, mispar katan, cheshbon za’ir deChanoch^{2})

all tens and hundreds are reduced to single digits 1-9;

ק = י = א = 1

2. *mispar hakadmi* (cumulative value, mispar kidmi)

each letter is the sum of the values of all the letters from alef to that letter, inclusive; א = 1, ב = 3, ג = 6, etc.

3. *mispar hechrachi* (normative value)

simple sum total of the normative values of the letters, אחד = 13

4. *mispar musaphi*

same as mispar hechrachi except for also adding to the sum-total of the word the number of the amount of letters in the word אחד = 16, or adding the *kolel* (1 for the word as a whole) אחד = 14

5. *mispar hameruba haklali*

squaring of the mispar hechrachi, אחד = 13^{2} = 169

6. *mispar hameruba haperati*

squaring of the individual numbers, אחד = 1^{2}+8^{2}+4^{2} = 81

7. *mispar shemi* (miluy)

numbers of the names of the letters, filling in the letters where aleph (א) is the number (111) of its name, אלף; such that אחד = 953

8. *mispar hamispari*

sum of the numbers spelled out as words; echad,one (13) + shemonah,eight (395) + arba’ah,four (278) = 686 = אחד

9. *mispar hamispari hagadol*

combination of #7 and #8; each letter is spelled out fully (miluy) and that equivalent number is spelled out which in turn has a numerical equivalent;

y 10 י + yod 20 יוד + esrim 620 עשרים

so, in this system י = 650

**Additional methods**^{1,3,4} of calculation:

10. *mispar gadol*^{3} (the great number)

five final letters have values 500 (kaf), 600 (mem), 700 (nun), 800 (pey), 900 (tzadi)

11. *mispar kaful*

multiplying letter-units instead of summing them

12. *mispar temuri*

taking the gematria of a permutation^{4} of the original word

footnotes:

^{1} Spice Of Torah – Gematria, Gutman G. Locks; Pardess Rimonim 30:8, R. Moshe Cordovero

^{2} Zohar III:251a; Tikunei Zohar 10:26a

^{3} Aruch, s.v. at-bach; Rashi on Sukah 52b, s.v. at-bach; Chochmat Shlemoh, Maharshal on Sukah 52b

^{4} via alphabetic transformations (Chilufei Otiyot), for example

additional references:

Sefer Abudraham, R. David ben Yossef

Gematria, The Mathematics Of Torah

Types of Gematria Table

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