106 BUREAU OP AMERICAN ETHNOLOGY [bull. 57 



figure. In other words, up to and including 19 the numbers were ex- 

 pressed by prefixing the sign for the number desired to the kin sign, 

 that is, the sign for 1 day.* 



The numbers 20 to 359, inclusive, were expressed by multipljang 

 both the kin and uinal signs by the numerical forms to 19, and adding 

 together the resulting products. For exarnple, the number 257 was 

 WT-itten as shown in figure 56, d. We have seen in Table VIII that 1 

 uinal F= 20 kins, consequently 12 uinals (the 12 being indicated by 2 bars 

 and 2 dots) = 240 kins. However, as this number f aUs short of 257 by 

 17 kins, it is necessary to express these by 17 kins, which are written 

 immediately below the 12 uinals. The sum of these two products = 257. 

 Again, the number 300 is written as in figure 56, e. The 15 uinals 

 (three bars attached to the uinal sign) = 15x20 = 300 kins, exactly 

 the number expressed. However, since no kins are required to com- 

 plete the number, it is necessary to show that none were involved, 

 and consequently kins, or "no kins" is written immediately below 

 the 15 uinals, and 300 + = 300. One more example wiU suffice to 

 show how the numbers 20 to 359 were expressed. In figure 56,/, the 

 number 198 is shown. The 9 uinals = 9 X20 = 180 kins. But this 

 number falls short of 198 by 18, which is therefore expressed by 18 

 kins written immediately below the 9 uinals: and the sum of these 

 two products is 198, the number to be recorded. 



The numbers 360 to 7,199, inclusive, are indicated by multiplying 

 the kin, uinal, and tun signs by the numerals to 19, and adding 

 together the resulting products. For example, the number 360 is 

 shown in figure 56, g. We have seen in Table VIII that 1 tun =18 

 uinals; but 18 uinals = 360 kins (18X20 = 360); therefore 1 tun 

 also = 360 kins. However, in order to show that no uinals and 

 kins are involved in forming this number, it is necessary to 

 record this fact, which was done by writing uinals immedi- 

 ately below the 1 tim, and kins immediately below the umals. 

 The sum of these three products equals 360 (360 + + = 360). 

 Again, the number 3,602 is shown in figure 56, Ti. The 10 tuns = 

 10 X 360 = 3,600 kins. This falls short of 3,602 by only 2 units of the 

 first order (2 kins), therefore no uinals are involved in forming this 

 number, a fact which is shown by the use of uinals between the 10 

 tuns and 2 kins. The sum of these three products = 3,602 (3,600 + 

 + 2). Again, in figure 56, i, the number 7,100 is recorded. The 

 19 tuns = 19x360 = 6,840 kins, which falls short of 7,100 kins by 

 7,100-6,840 = 260 kins. But 260 kins =13 uinals wAih. no kins 



1 The numerals and periods given in fig. 56 are expressed by their normal forms in every case, since these 

 may be more readily recognized than the corresponding head variants, and consequently entail less work 

 for the student. It should be borne in mind, however, that any bar and dot numefal or any period in 

 fig. 56 could be expressed equally well by its corresponding head form without affecting in the least the 

 values of the resulting numbers. 



