770 MAYAN CALENDAR SYSTEMS [ETH. ANN. 19 
9-3-1-15-0 (3 katuns, 1 ahau, and 15 chuens on the ninth cycle), and 
thence by the next step (6) to 9-10-2-6-6, 2 Cimi 19 Zotz. the date of 
the second series of the right slab of the Tablet of the Sun. This gives 
as the count forward from his date + to his date 5, 7-8-1-15-0, which, 
it is true, expresses the exact lapse of time between these two dates. 
But upon what evidence in the inscriptions is this succession founded? 
According to his own statement the lapse of time from 4 Ahau 8 
Cumhu, beginning day of his fifty-fourth great cycle, to 2 Cib 14 Mol 
is 9-12-18-5-16, while in his synopsis the distance to 12 Ahau 8 Ceh 
is given as 9-3-1-15-0. It is apparent, therefore, that he places 12 
Ahau 8 Ceh back, in the order of time, of 2 Cib 14 Mol, 9-16-8-16 or 
70,676 days. As any given date will reappear in each calendar round 
or 52-year period, the position in the great cycle, even on his theory, 
should be determined by the series of the inscription. This is done in 
regard to 13 Cimi 19 Ceh, 1 Ahau 13 Mac, 1 Cauac 7 Yax, 2 Ahau 3 
Uayeb, and also in regard to 2 Cib 14 Mol, but there is no evidence to 
show that it has been done in regard to 12 Ahau 8 Ceh, nor is any 
backward connection indicated by which the position of this date can 
be ascertained. 
Starting with 12 Ahau 8 Ceh and the series (5) of his synopsis with 
which it is connected, as a basis, his count (6) to 2 Cimi.19 Zotz and 
thence (7) to 9 Akbal 6 Xul is in accordance with the numeral series, 
if we assume with him that the count from 2 Cimi 19 Zotz, second series, 
right slab of the Tablet of the Sun, though forward in the order of time, 
goes back in the arrangement of the inscription to the 9 Akbal 6 Xul 
which precedes it. But it is equally true that if, as he holds, the mid- 
dle space follows the right slab, connection will be made with the 9 
Akbal of the middle space. However, as the figures agree with the 
inscription, making the two minor changes in the numbers heretofore 
suggested, we pass to the following dates. 
The connection of 9 Akbal 6 Xul with his date (8) 18 Ahau 18 Kan- 
kin is correct, the change heretofore suggested in the third numeral 
series, right slab, from 532 to 537, being made. But when we pass to 
his next series (9), date 8 Oc 3 Kayab, we find the interval 2-1-12-10 
(15,010 days), which is evidently the date of the second series right slab 
of the Tablet of the Foliated Cross. This reckoning will, it is true, 
carry us back to 13 Ahau 18 Kankin, presumably the last date of the 
Tablet of the Sun, the same date appearing also in the middle space; 
but it is without any authority in the inscription. This is followed in 
his synopsis (10) by 2 Cib 14 Mol, which appears in the same relative 
position both on the Tablet of the Sun and the Tablet of the Foliated 
Cross, but refers here to the date to be supplied, as has been shown, 
to the third series on the right slab of the Tablet of the Foliated 
Cross. The interval he gives between the two dates is 6-11—6, which 
is in accordance with the inscription. This is followed (11) by 8 Ahau 
8 Uo with an interval of 1-12—4, which is also correct. 
