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Representations of 91 & 550

 

91 is the sum of the squares of the first six integers:

91 = 12 + 22 + 32 + 42 + 52 + 62.

 It is prescribed by the Godname EHYEH with number value 21 because 91 is the sum of a triangular array of 21 integers 1-6 (see diagram). As

n2 = 1 + 3 + 5 +...+ 2n−1,

i.e., n2 is the sum of the first n odd integers, 91 is also the sum of a triangular array of 21 odd integers. The sum of the 15 integers on the boundary of the array is 65 and the sum of the six integers in its interior (indicated in the diagram opposite by the grey triangle in the array) is 26. The number 91 is, therefore, the gematria number value of ADONAI (65) TETRAGRAMMATON (26), where ADONAI is the Godname of Malkuth and the word that Jews use, when they recite their scriptures, as a substitute for TETRAGRAMMATON, the sacred Name of God that they are forbidden to pronounce. Its proper pronunciation is unknown except to a few, although there have been many speculations.

In view of the significance of the tetractys as a symbol for the Decad (10), being the fourth triangular number:

    1    
    1 1  
  10 = 1  1  1  
  1 1 1 1,

the number 550 has a particularly Pythagorean character because it is the sum of the first ten multiples of 10:

550 = 10×55 = 10(1+2+3+4+5+6+7+8+9+10)

   

10

   
    20 30  
=   

  40

 50

  60

 
  70 80  90 100.

 55 (the tenth triangular number) is the sum of the squares of the first five integers:

55 = 12 + 22 + 32 + 42 + 52.

550 is therefore the sum of (10×5=50) squares, showing how ELOHIM, the Godname of Binah with number value 50, prescribes this number quantifying the Cosmic Tree of Life. The number 550 is the sum of numbers of the Godnames of all the Sephiroth except the first Sephirah (Kether) and the last one (Malkuth):

550 = 26 + 50 + 31 + 36 + 76 + 129 + 153 + 49.

 Alternatively, it is the sum of the numbers of the Godnames of all the Sephiroth except Binah and Geburah:

550 = 21 + 26 + 31 + 76 + 129 + 153 + 49 + 65.

This number is the sum of the number 474 of Daath and the number 76 of YAHWEH ELOHIM. The 550 Sephirothic levels that span CTOL are therefore the measure of the "knowledge of God the Creator."

The number 55 is the number of yods lining the sides of two nested pentagrams:

Pentagram representation of 55

This is remarkable because this number is the tenth number in the infinite sequence of Fibonacci numbers:

1,1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ....

the ratio of whose pairs of successive integers converges to the Golden Ratio Ø = 1.618..., which determines the ratio of red & blue sides of either the pentagram, its enclosing pentagon or its internal triangles:

Golden Ratio in pentagram

 

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