THOMAS] EXPLANATION OF THE RED NUMERALS. 19 



tofore stated, two tables, one with Cauac as the initial day (VI) and the 

 otlier with Kan (VII). Running- our eyes down the Cauac column of either 

 table to 10, we find thirteen numbers from this downwards, as follows, and 

 in the order here given: 10, 1, 5, 9, 13, 4, 8, 12, 3, 7, 11, 2, 6, precisely as 

 they are on the plate of the manuscript. 



On Plate XXII (our Plate III) the repeated character of the left-hand 

 column is Kan, the numerals over which (reading from the top downwards) 

 are as follows: 11, 2, 6, 10, 1, 5, 9, ('?), 4, 8, 12, 3, 7, 1 1 , precisely the same 

 and in the same order as we find them in the Kan column of our tables ; 

 the obliterated one being, as we see from this, 13. On Plate XX (our 

 Plate I) the repeated character of the left-hand column is Tx. The num- 

 bers here, so far as they can be made out, are 13, (?), 8, 12, 3, 7, 11, 2, 6, 

 10, 1, o, 9, precisely the same and in the same order as in the Ix column 

 of our tables. 



The repeated character on Plate XXI (our Plate II) is Muluc; the 

 numbers are 12, 3, 6, 10, 1, 5, 9, 13, '1, 8, 2, 7, 3. If we compare these with 

 the Muluc column of our tables, we find that after the first two numbers 

 there is a skip of _ three numbers before we reach the 6 which should follow 

 according to the plate. But what appears here as a contradiction of my 

 supposition is, as I believe, the strongest evidence of its correctness. If we 

 examine the tables carefully we will observe that after reaching the second 

 figure, — 3, — in the Muluc column, the next figure in the adjoining column 

 is 6, and from thence to 8 the same as on the plate. From this I am led to 

 believe the writer had before him a table similar to those I have given, except 

 that it was written in their numeral characters, and that, by mistake in 

 copying, his eye fell on the wrong column. That such tables were used 

 by them is rendered probable by the following quotation which Perez makes 

 from an ancient manuscript in his possession: "They had another number 

 which they called Ua Katun, which served them as a key to find the Katunes 

 and according to the order of their march, it falls on the two days of the 

 Uayehhadh and revolves to the end of certain years: Katunes 13, 9, f^, 1, 

 10, 6, 2, 11, 7, 3, 12, 8, 4." By commencing at the bottom of the right- 

 hand column of either table of years and running up we find precisel}^ these 

 numbers and in the order given. It is scarcely possible these could have 

 been obtained except by a table similar to those I have given. 



