132 BUEEAU OF AMERICAN ETHNOLOGY [bull. 57 



The 2 in the first place equals 2 (2x1); the in the second phice, 

 (0 X 20) ; the in the third place, (0 X 360) ; and the 1 in the fourth 

 place, 7,200 (1 X 7,200) . The sum of these four products equals 7,202 

 (2 + + 0+ 7,200). Again, the number 100,932 is recorded in figure 

 63, g. Here the 12 in the first place equals 12 (12 X 1); the 6 in the 

 second place, 120 (6X20); the in the third place, (0X360); and 

 the 14 in the fourth place, 100,800 (14x7,200). The sum of these 

 four products equals 100,932 (12 + 120 + + 100,800). 



The numbers from 144,000 to 2,879,999, inclusive, involved the 

 use of five places or terms — kins, uinals, tuns, katuns, and cycles. 

 The last of these (the fifth place) had a numerical value of 144,000. 

 (See Table VIII.) For example, the number 169,200 is recorded in 

 figure 63,^. The in the first place equals (0x1); the in the 

 second place, (0x20); the 10 in the third place, 3,600 (10x360); 

 the 3 in the fourth place, 21,600 (3 X 7,200) ; and the 1 in the fifth place, 

 144,000 (1 X 144,000). The sum of these five products equals 169,200 

 (0 + + 3,600 + 21,600+144,000). Again, the number 2,577,301 is 

 recorded in figure 63, ^. The 1 in the first place equals 1 (1x1); 

 the 3 in the second place, 60 (3 X 20) ; the 19 in the third place, 6,840 

 (19 X 360) ; the 17 in the fourth place, 122,400 (17 X 7,200) ; and the 17 

 in the fifth place, 2,448,000 (17x144,000). The sum of these five 

 products equals 2,577,301 (1+60 + 6,480 + 122,400 + 2,448,000). 



The writing of numbers above 2,880,000 up to and including 

 12,489,781 (the highest number found in the codices) involves the 

 use of six places, or terms — kins, uinals, tuns, katuns, cycles, and 

 great cycles — the last of which (the sixth place) has the numerical 

 value 2,880,000. It will be remembered that some have held that 

 the sixth place in the inscriptions contained only 1 3 units of the fifth 

 place, or 1,872,000 units of the first place. In the codices, however, 

 there are numerous calendric checks which prove conclusively that 

 in so far as the codices are concerned the sixth place was composed of 

 20 units of the fifth place. For example, the number 5,832,060 is 

 expressed as in figure 63, j. The in the first place equals (0x1); 

 the 3 in the second place, 60 (3 X 20) ; the in the third place, (0 x 

 360) ; the 10 in the fourth place, 72,000 (10 X 7,200) ; the in the fifth 

 place, (0x144,000); and the 2 in the sixth place, 5,760,000 (2x 

 2,880,000). The sum of these six terms equals 5,832,060 (0 + 60 + + 

 72,000 + 0+ 5,760,000). The highest number in the codices, as ex- 

 plained above, is 12,489,781, which is recorded on page 61 of the 

 Dresden Codex. This number is expressed as in figure 63, Z". The 1 

 in the first place equals 1 (1x1); the 15 in the second place, 300 (15 X 

 20); the 13 in the third place, 4,680 (13x360); the 14 in the fourth 

 place, 100,800 (14x7,200); the 6 in the fifth place, 864,000 (6 X 

 144,000); and the 4 in the sixth place, 11,520,000 (4X2,880,000). 

 The sum of these six products equals 12,489,781 (1+300 + 4,680 + 

 1 00,800 + 864,000 + 1 1 ,520,000) . 



