628 The Manuscript Troano. [August, 
If the first day of the year was Kan, as in this table, then each 
month would commence with Kan and end with Akbal, though 
numbered differently. If the last day of the 18th month was 9 
Akbal, as shown in this table, the five added days would be 10 
Kan, 11 Chicchan, 12 Cimi, 13 Manik and 1 Lamat; the first day 
of the next year would be 2 Muluc. 
When the year began with 2 Muluc, the last day of the 18th 
month would be 10 Lamat and the five added days would be I! 
Muluc, 12 Oc, 13 Chuen, 1 Eb and 2 Ben. The next year would 
then begin with 3 Ix. Following out this process we shall find 
TABLE rr, the years commencing as follows: 1 Kan, 2 Mulue, 
5 Ix, 4 Cauac, § Kan, 6 ‘Muluc; 7 Ix, 3 Canam 
3 5 || Kan, to Muluc, rt Ix, 12 Cauac, 53 Kan, 1 Muluc, 
€/s/ ,| || 2 Ix and so on, the first day being in all cases one 
12/5/91 of these four. As 13 is a prime number it will 
: ; ae: require a cycle of 52 years—I3 x 4—before we 
9/10 his again reach t Kan. I give here a table of one 0 
a ‘ : : these cycles, showing the order of the years for ee 
8| 9 10\«1|| length of time. The names by which the years © 
es es p z\| the different columns are designated are given af 
7| 8| 9|10|) the head of the columns. ‘ 
2 f° = ® Although their system was somewhat compli- 
ne Z i 2 cated by this singular method of numbering the 
————*-' days and years, still it is not difficult to understand 
it so far. But in order to further complicate this calendar, gi 
was undoubtedly devised by the priests as Landa truly says, = 
deceive this simple p2ople,” another period called the Katun oF 
Ahau was introduced. This period, according to most authori- 
ties, consisted of twenty years, but according to Perez of twenty- 
four. Instead of being numbered in regular order, one, two, 
three, &c., these periods were also numbered by the thirteen 
series, but in the following singular order: 13, 11, 9) 7» 5» 3 “ 
12, 10, 8, 6, 4, 2, the 13th Katun preceding the 11th, a9 
so on. : 
The chief difficulty experienced in attempting to bring this 
period into harmony with the system so far as given, is, Ist. . 
uncertainty as to whether it consisted of 20 or 24 years; 2d. To 
place these periods in their proper positions in the great cycle, 
that is, to determine what year in any cycle was the jrrst year ° 
a Katun, If this can be done, then it is not difficult to compare 
