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*Strongly you have drawn me here and put long pressure on my Sphere. What now?* —The Spirit of the Earth to Faust

I've been reviewing the Enochian Cipher and Mandalas I created earlier this year. For 2004, I used an involutionary cycle based on the "484 gates" (an i.n.t.e.r.e.s.t.i.n.g year). I want to use an evolutionary cycle for 2005. However ....... I just plain forgot what the heck I did back then. So I retraced my steps, beginning with the GAVaX Cipher. When I got to the "484 gates" I began asking myself .........what the heck are these, really?

Back to Hebrew, since it has 22 letters. There are 484 letter pairs for a 22 letter alphabet (22 x 22 = 484). The 484 letter pairs are different from the 231 Gates. There are several methods to create the 231 Gates that Kaplan outlines in his book, Sefer Yetzirah, pp. 113-123. Using the Kabbalistic Method, the **231 Gates** are generated by: First row letters Aleph to Tau, 2nd row skips every other letter, 3rd row is every third letter, 4th row is every fourth letter, etc. Creating an initial array of 21 rows and 22 columns. The columns are paired together and create 231 letter pairs (or, 462 letters). All of the Hebrew letters can be permutated in the same manner creating 22 letter arrays (eg, **Beth Array**). A characteristic of this method is that the 11th row on every array repeats a letter pair. These 22 repeating letter pairs correspond to the ALBaM Cipher.

Since the 484 letter pairs include all of the possible 2-letter combinations, you can say the 231 Gates are a *subset* of the 484 letter pairs. I was curious to see how the 231 letter pairs occurred in the 484. **Here are the results** [*broken link*].

The most surprising discovery about this exercise was learning that the Kabbalistic Method (the same 231 Gates used by Jacob's Wheel) creates letter pairs that begin with odd-numbered letters: AGHZTKMSPQSh (ie, the ordinal value for Aleph is 1, Gimel is 3, Heh is 5, etc). The Pythagoreans and the Kabbalists considered odd numbers as masculine and even numbers as feminine. Odd numbers are lucky, even numbers are unlucky. The demons, apparently, ruled even numbers. *There is divinity in odd numbers, either in nativity, chance or death. —Shakespeare, The Merry Wives of Windsor.*

Kaplan provides several arrays in his book. The 221 Gates of Rabbi Eliezar Rokeach of Wormes lists all of the arrays for the entire alphabet. The difference between the 221 and 231 Gates is that the 22 letter arrays omit the repeated letter pairs. The two purple squares and the gold and black squares make up the ALBaM Cipher. The letter pairs at the upper left are the ALBaM pairs of the **face**, the letter pairs at the lower left are the ALBam pairs of the **back**. BTW, the white diagonal are the letter pairs that do not appear on any array for the **231 Gates**.

In a nutshell, **Odd arrays** use odd-numbered letters at the beginning of each letter pair, and **even arrays** use even-numbered letters. Both sets of arrays omit all gold + black + purple squares except for the ALBaM code corresponding to that array, which is repeated 10 times. Whichever ALBaM code is used determines whether it is front or back.

Due to these odd-even arrays I revised this table by changing the "I" of ALIM to "B" ~ ALBM [ALBM cipher exchanges 1st Hebrew letter (A) with 12th (L); BM, GN, DS &c.]. More than likely, I will structure the 484 Enochian Gates where the double letter pairs ({Heb} AA, BB, GG, etc) create the master gates ... but I'm still working all of that out.

Links: Abulafiah | Pythagorean Mathematics[4:38 PM 9/5/2010] :: *fixed links, added tags, &c*