THOMAS] NUMBERS IN THE MEXICAN CODICES 941 
PLATE 22 
Upper line: 3 , Atl. 3 Coatl. 3 Cipactli. 
Lower line: 4 Malinalli. 2 Atl. 4 Cuetzpallin. 2 Cipactli. 
In counting in this case the numbers are to be understood as indi- 
cating the intervening days, and do not include either the day counted 
from or the day reached. The ‘‘lower lines” are throughout inde- 
pendent and not connected with the ‘‘upper lines.” Commencing 
with Cipactli at the right of the lower line of plate. 22, and referring 
to table 1 for the list of the days, we see that counting forward—that is, 
passing over—two days we reach Cuetzpallin; passing over four more 
we come to Atl; passing over two more brings us to Malinalli, and 
four more to Ollin, which is found at the right of the lower line of 
plate 21; and so we reach Acatl, the right of the lower line of plate 20. 
Counting 7 from the last brings us to Cipactli. As the count here 
ends with Xochitl, the last of the twenty days, this series may end 
here, or may pass to Cipactli. However, as there are no day sym- 
bols to guide us until we get back to plate 15, where we find 7 Mali- 
nalli at the right, we begin again with this day. 
Passing over seven days from Malinalli we reach Xochitl; passing 
over ten more we reach Ozomatli, at the right of the lower line of 
plate 14. Passing over nine more we come to Cipactli; twelve more 
bring us to Ocelotl, at the right of the lower line of plate 13; thirteen 
more to Tochtli; twenty-three more would bring us to Malinalli, but 
the day is not found, as the series appears to end here. Possibly we 
go back, as is a common rule in the Troano codex, to the first date; 
if so, Malinalli, on plate 15, begins a second series. This is prob- 
ably the true method, as adding together the counters and the days 
represented by symbols gives eighty, just four twenties. It is prob- 
able that the same rule applies to the first series, beginning with 
Cipactli (plate 22) and ending with 7 Acatl (plate 20), as the counters 
and days added together make forty, or two twenties. 
Taking now the upper line, beginning with 3 Cipactli at the right 
(plate 22), we pass over three days, which brings us to Coatl, three 
more to Atl, and so on by threes to Ollin at the left of plate 16; three 
days more bring us to Cipactli, but whether to the beginning or to 1 
Cipactli at the right of the upper line of plate 15 is a question. How- 
ever, as the number of days counted up to this point is 80, or four 
twenties, and a new series begins in the lower line with Malinalli at 
the right of plate 15, it is most likely a new series begins here with 
Cipactli in the upper line. This supposition appears to be confirmed 
by the fact that to Xochitl at the left of the upper line of plate 13 1s 
just twenty days. 
No attempt will be made at this point to explain the figures con- 
nected with these day and numeral series, the only object in view at 
present being to illustrate the use of the numerals and thereby to show 
