41B BUREAU OF AMERICAN ETHNOLOGY [bull. 28 



111 order to show the close rehition of the series to the eight num- 

 bers, Ave will now present the connection of the dates with the num- 

 bers. The indication of this connection is irrefutable, although not 

 clear at all points. With this object in view I will here set down the 

 differences between each two adjacent nf^mbers, and also those be- 

 tween the dates aj^pertaining to them : 



The reason for introducing the two days in each line will imme- 

 diately appear. I will now endeavor to make clear the connection 

 between the two numbers in each line. 



1. Both the numbers are divisible by 2(>0 without a remainder. 

 The two days are alike. I mentioned in the beginning that the num- 

 ber 14,040 was a very important one. 



2. In this case there is a seeming disagreement; for, although the 

 days are again alike, the second number is -S3X200 while the first is 

 256X260-|-80; and yet this difference is quite necessary, as I shall 

 hereafter show. 



o. Each of the numbers divided by 2G0 has a remainder of 221, and 

 between the day III 1 and the next. III 2, there is always an interval 

 of 221 days. 



4. Each of these numbers divided by 2()0 has a remainder of 130, 

 and 1-SO is the distance between the days III 1 and III 11. 



5, The remainder of both these numbers is 52, which is the distance 

 between TII 11 and III 3. 



(). The two numbers are exactly alike. Divided by 260 they have 

 the remainder 3, which is the distance between XITI 20 and III 3. 



7. Both numl)ers have the remainder 179, equal to the distance 

 between III 1 and XIII 20. 



We now come to the question, What really are the zero points from 

 which these large numbers are computed? for we already know that 

 the zero point is by no means always the normal date IV 17; 8, 18th 

 month. I can not give here the multitude of figures necessary for 

 this calculation, but must content mj^self with the results. They are 



as follow : 



Irt XI 1: 13, 14tlinionth 1 Ix 



16 XI 1; 13, 15th month T Ix 



2a IX 1; 7, 14th month 4 Cauac 



36 IX 1; 2, 9th month 5 Kan 



3a IX1;12, 6th month 3 Ix 



36 IX 1; 13, 17th month 4 Ix 



4o IX 1; 13, 17th month 4 Ix 



46 IX 1 : 12, 17th month 4 Ix 



