The Hebrew alphabet was examined for unique sets of letters
without repeat based on interrelated common denominator relationships
in the ordinal (1-22) and numerical values (1-400), and totals
of the two values (2-422). The relationships used were those found
in the word Israel, observed to have a high incidence of letter
combinations summing to totals with common denominators of 11
in the three valuing systems. The basic interrelated pattern in
the ordinal values spanned the alphabet only for the factors 11
and 12. The 2 sets of Hebrew letters selected were 5 letters based
on 11 and 4 letters based on 12, and were the letters of the Hebrew
words Israel and Zion, respectively. The common denominator
relationships
were most complex in the totals where 11 of 31 possible combinations
taken 1, 2, 3, 4 and 5 at-a-time for "Israel" were divisible
by 11 and 7 out of 15 possible combinations taken 1, 2, 3, and
4 at-a-time for "Zion" were divisible by 12. For "Israel"
and "Zion" the number of combinations evenly divisible
by the given factor was 3.8 and 5.1 standard deviations, respectively,
above the mean of that obtained from random Hebrew proper nouns.
Israel was shown to be associated with 11 and Zion with 12. That
the name of the nation and its eternal capital are both central
to the Hebrew alphabet displays the Creator's wisdom.
© 2003 C. M. Felland