420 BUREAU OF AMERICAN ETHNOLOGY [bull. 2« 



7. At a considerable distance from this, at the top of page 73, we 

 find the number 83,474= (321X260) +14 and below it IX 11. Thus it 

 is again intended to indicate the distance from VIII 17 to IX 11. 



Sr At the right of this is 34,732= ( 133 X2()0) +152. Underneath is 

 IX 9, doubtless to be read IV 9, indicating the distance from VIII 17 

 to IV 9. 



Since the multiples of 260 are always indifferent in certain re- 

 spects, we are really concerned Avith only four of these corrected 

 numbers — 86, 208, 14, and 152; that is, with the four intervals IX 11 

 to IV 17, IV 9 to IV 17, VIII 17 to IX 11, and VIII 17 to IV 9. The 

 starting points of the two series, IX 11 and IV 9, are brought into rela- 

 tion only with the normal date IV 17 and with the still enigmatic VIII 

 17. I would also remark, wdth regard to the position of this VIII 17, 

 that it is distant 100 days from a succeeding, consequently 160 days 

 from a preceding. IV 17. that it therefore divides the tonalamatl 

 into two parts, having the ratio of 5 to 8. 



THE LARGE NUMBERS 



As in the preceding section, there are exactly six of these, all on 

 page 70. I will consider them here in the same manner as in that 

 section. 



1. IV 17. 1,201,200=^4.620 X2(;0. which is 1G5,.360 less than 12 ahau 

 katuns. 



2. IV 17. 1.202,240=4,024X260=208X5,780. 208 is the distance from 

 IV 9 to IV 17; 164.320=208X790, heing less than 12 ahau katuns. 



3. IV 17. 1,394,120=5.362X260, which is 27,560 more than 12 ahau 

 katuns. 



It may not be accidental that the first and third numbers are both divis- 

 ible by 14, which is the distance from VIII 17 to IX 11. 



4. IV 17. 1.437.020=5.527X260, or 70,460 more than 12 ahau katuns. 



5. IV 11. 1.520,(]o4=5.S48X 260+171. 174 is the distance from IV 17 

 to IX 11. This number is 154,094 more than 12 ahau katuns. 



6. IV 9. 1,567,332=6.028x260+52. 52 is the distance from IV 17 to 

 IV 9. This number is 200.772 more than 12 ahau katuns. 



These numbers may still bear relations to each other which I have 

 not yet discovered. 



We now know that from these numbers the corrections, or encircled 

 numbers, are to be subtracted from all six numbers, indeed, eight — 

 that is, two each of the latter from two of the former. Thence 

 residt the following eight equations, to which I attach the corre- 

 sponding days : 



1. 1,201,200 (IV 17)- 86=1,201,114 (IX 11) 

 '2. 1,203,240 (IV 17)- 308=1,203,032 (IV «J) 



3. 1,394,120 (IV IT)- 606=1,393,514 (IX 11) 



4. 1,437,030 (IV 17)- 1,646=1,435,374 (IX 11) 



5. 1,530,654 (IX 11)-111.554=1,409,100 (VIII 17) 



6. 1,530,654 (IX 11)- 83,474=1,437,180 (VIII 17) 



7. 1,567,333 (IV 9)-101,813=l,465,530 (VIII 17) 



8. 1,567,333 (IV 9)- 34,733=1,534,600 (VIII 17) 



