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Figure 1. Initial complete interrelated sets and middle sets of letters taken two-at-a-time that factor evenly by given integers for the ordinal values of the Hebrew alphabet. See additional notes below.
Notes on Figure 1.
The sets for 11 and 12 both include yod (10) and both span 21 of the 22 letters of the Hebrew alphabet. The interrelated sets for 10 and 13 do not span the alphabet as completely as do the sets for 11 and 12.
The interrelated set for 11 beginning at 10:
10 + 1 = 11,
1 + 21 = 22
21 + 12 = 33,
12 + 10 = 22
Each of the sums 11, 22, 33, and 22 factor evenly by 11.
Because 11 is an odd number there is no middle set of two numbers.
The interrelated set for 12 beginning at 10:
10 + 2 = 12,
2 + 22 = 24
22 + 14 = 36,
14 + 10 = 24
Each of the sums 12, 24, 36, and 24 factor evenly by 12.
The middle set of 6 + 18 = 24 also factors evenly by 12.