884 NUMERAL SYSTEMS (ETH. ANN 19 
300 caxtol poalli=15 x 20. 
320 caxtolli on-cem-poalli=16 20, literally (164-1) x20. 
340 caxtolli om-om-poalli=17 20. 
360 caxtolli om-ei-poalli=18 x 20. 
380 caxtolli on-nauh-poalli=19> 20, 
399 caxtolli on-nauh-poalli ipan caxtolli on-nau=19 20+-15+-4. 
400 cen-tzontli. 
800 ome-tzontli=2 400. 
1,200 ei-tzontli, or e-tzontli=3 x 400. 
1,600 nauh-tzontli=4>< 400. 
2,000 macuil-zontli=5 x 400. 
2,400 chicua-ce-tzontli=6 x 400, literally (5-+1)>400. 
4,000 matlae-zontli=10>% 400. 
6,000 caxtol-tzontli=15 > 400. 
8,000 cen-xiquipilli, or ce-xiquipilli=1 xiquipilli, or 18,000. 
16, 0001 on-xiquipilli=2> 8,000. 
24,000 e-xiquipilli=3> 8,000. 
120,000  caxtol-xiquipilli=15 x 8,000. 
160, 000 cem-poal-xiquipilli=20>% 8,000. 
320,000 om-poal-xiquipilli=2 20 8,000. 
3, 200,000 cen-tzon-xiquipilli=400> 8,000. 
64, 000,000 cem-poal-tzon-xiquipilli=20 x 400 8,000. 
The signification of caxto/l7, the term for 15, does not appear to be 
given. 
Centzontli, the name for 400, is from ce, 1, and fzontl7, herb, hair, 
and signifies one handful, bundle, or package of herbs, or one wisp of 
hair, ‘tau figuré une certaine quantité comme 400,” says Siméon (op. 
cit.). 
Aiquipilli, the name for 8,000, signifies a sack, bag, or wallet. 
Clavigero” says ‘*They counted the cacao by wiqguipill7 (this, as we 
have before observed, was equal to 8,000), and to save the trouble of 
counting them when the merchandise was of great value [quantity ?] 
they reckoned them by sacks, every sack having been reckoned to 
contain 3 xiguipill/, or 24,000 nuts.” 
It is apparent from the list given that this system was strictly 
quinary-vigesimal throughout, the higher bases—400 and 8,000—being 
multiples of 20. The retention of the quinary order in the higher 
numbers is evident from the use of 15 in counting 35 to 39, 55 to 59, 
ete. The complete maintenance of the vigesimal feature is also shown 
by the fact that the count from 20 to 400—that is, 20 20—so far as 
the multiples are concerned, is by 2, 3, etc., up to 19x 20 plus the addi- 
tions 1, 2, 3, ete, to 19. In its systematic uniformity it is one of the 
most perfect systems that has been recorded, though its nomenclature 
is somewhat cumbersome. Another point to which attention is called, 
as there will be occasion to refer to it further on, is the method of 
counting the minor intermediate numbers. It will be observed that 
the count above 40 as well as that from 20 to 40 is by additions to the 
hase, thus: 40+-1 for 41, 40+2 for 42, and so on: and the same rule is 
Thus Clavigero, Hist. Mex 2Cullen’s Trans., vol. 1, O86. 
