10. lahun = it is finished.
20. hunkal = a measure, or more correctly, a fastening together.
30. lahucakal = 40 - 10?
40. cakal = 2 x 20.
50. lahuyoxkal = 60 - 10.
60. oxkal = 3 x 20.
70. lahucankal = 80 - 10.
80. cankal = 4 x 20.
90. lahuyokal = 100 - 10.
100. hokal = 5 x 20.
110. lahu uackal = 120 - 10.
120. uackal = 6 x 20.
130. lahu uuckal = 140 - 10.
140. uuckal = 7 x 20.
200. lahuncal = 10 x 20.
300. holhukal = 15 x 20.
400. hunbak = 1 tying around.
500. hotubak.
600. lahutubak
800. calbak = 2 x 400.
900. hotu yoxbak.
1000. lahuyoxbak.
1200. oxbak = 3 x 400.
2000. capic (modern).
8000. hunpic = 1 sack.
16,000. ca pic (ancient).
160,000. calab = a filling full
3,200,000. kinchil.
64,000,000. hunalau.
In the Maya scale we have one of the best and most extended examples of
vigesimal numeration ever developed by any race. To show in a more striking
and forcible manner the perfect regularity of the system, the following
tabulation is made of the various Maya units, which will correspond to the
"10 units make one ten, 10 tens make one hundred, 10 hundreds make one
thousand," etc., which old-fashioned arithmetic compelled us to learn in
childhood. The scale is just as regular by twenties in Maya as by tens in
English. It is[364]
20 hun = 1 kal = 20.
20 kal = 1 bak = 400.
20 bak = 1 pic = 8000.
20 pic = 1 calab = 160,000.
20 calab = 1 { kinchil } = 3,200,000.
{ tzotzceh }
20 kinchil = 1 alau = 64,000,000.
The original meaning of _pic_, given in the scale as "a sack," was rather
"a short petticoat, somtimes used as a sack." The word _tzotzceh_ signified
"deerskin." No reason can be given for the choice of this word as a
numeral, though the appropriateness of the others is sufficiently manifest.
No evidence of digital numeration appears in the first 10 units, but,
judging from the almost universal practice of the Indian tribes of both
North and South America, such may readily have been the origin of Maya
counting. Whatever its origin, it certainly expanded and grew into a syste
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