Base 13 is an interesting thought but makes no
Physical sense (thus the reason it was likely used). In order to have a base 13 you’d need 13 fingers or digits
for counting as a base which makes no sense because of physical symetry. Beause cratures are physically symetric
we have the same number of digits on each appendige. Thus there’s no way to have a base 13 even if we had 3, 5,
or even 7 appendiges. And even if we had a third arm in the middle with 3 perfectly formed fingers it would
likely not have been used simply for the fact it would still be asymetric with the other two primary
appendiges.
For those of you still having trouble understanding what base 13 is let me offer it like this.
In a base thirteen system this is how you would count to ten (offering made up numbers based on a Base 10 system
for filler).
One, Two, Three, Four, Five, Six, Seven, Eight, Nine, Dec, Undec, Dodec, Ten.
or using
characters letting ! = Dec, @ = Undec, and # = Dodec…
1,2,3,4,5,6,7,8,9,!,@,#,10
Continuing would
be…
11,12,13,14,15,16,17,18,19,1!,1@,1#,20
All the way up through the
Dodecs…
21,22,23,24,25,26,27,28,29,2!,2@,2#,30
31,32,33,34,35,36,37,38,39,3!,3@,3#,40
41,42,43,44,
45,46,47,48,49,4!,4@,4#,50
51,52,53,54,55,56,57,58,59,5!,5@,5#,60
61,62,63,64,65,66,67,68,69,6!,6@,6#,70
n71,72,73,74,75,76,77,78,79,7!,7@,7#,80
81,82,83,84,85,86,87,88,89,8!,8@,8#,90
91,92,93,94,95,96,97,98,99,9
!,9@,9#,!0
!1,!2,!3,!4,!5,!6,!7,!8,!9,!!,!@,!#,@0
@1,@2,@3,@4,@5,@6,@7,@8,@9,@!,@@,@#,#0
#1,#2,#3,#4,#5,
#6,#7,#8,#9,#!,#@,##,100
Using that system you can count characters in base 10 to find the correct number
in Base 13.
Thus 6*9=54 in Base 10 and the 54th (Base 10) character in Base 13 is 42.
Meanwhile
6*7=42 in base 10 and the 42nd (Base 10) character in Base 13 is 33.
Notice there are 169 (Base 10)
characters between 1-100 in Base 13 yet 10*10 is still equal to 100. This is because 10 in Base 13 is 13 in Base
10 and 13*13 in Base 10 equals 169 - the same distance to 100 in Base 13. This is how the math works out and
stays constant in the new system. =)