290 AIDS TO THE STUDY OF THE MAYA CODICES. 



XXXII * of the Manuscript Troano. The numerals are 20; XIII, X; 

 30, XII, III; the nura1)er over the day column, as before stated, is want- 

 ing. The interval from 1 Muluc (or 2 or 3 Muluc) to Ix of the same 

 number is C5 days. It is evident, therefore, that one of each pair of red 

 numerals of the series given must be a counter and has beencolored 

 red by mistake. As the numbers in the last pair are III and XII, the 

 number over the column must be 3 or 13. Suppose it is 13 and that 

 XIII of the first pair is a counter, then XII+30-1-13- 13- 13-13=VI. 

 As the niimber in the series is X this will not do. Supposing the X 

 of the first pair of red numerals to be the counter, colored by mistake, 

 the resiilt is as follows : XII+30 + 10-13- 13-13=111. This is also 

 wrong, as the remainder should be XIII. Supposing the number 

 over the cohimn to be III and the XIII of the first pair and XII of 

 the second to be the counters, the result agrees with the theory in 

 every particular. Thus, 111+20+13 - 13- 13=X ; X+20+12-13- 

 13-13=111: and 30+13 + 20+12=65, the interval between 3 Muluc 

 and 3 Ix. In Forstemann's copy the XIII and XII are black, thus 

 verifying the conclusion here reached. 



The series running through Plates 10c and lie presents some diffi- 

 culties which I have, so far, been unable to solve. The day columns 

 and nvimerals are as follows: 

 I xm 



Ymix Cimi ) 



Been Ezanah ■ 1, I; 5, VI: 10, III; 13, III; 15, V; 9 (?), XIII. 



Chicchau Oc ) 



C'abaii Ik 

 Muluc Ix' 

 The numerals in this case are very distinct, especially in the photo- 

 graphic copy, and there can be no doubt as to the days. Here the 

 last black number, 9, is wrong; it should be 8, a fact noticed by 

 Forstemanu." Making this correction, the series is rc.iiiilar and con- 

 sistent, so far as it relates to the right li.nnl culuniii. w liich li;is the 

 red thirteen over it. But there is no scries f(ir tlic left hand culumn. 

 Can it be that those who used the manuscript were expected to find 

 the proper numbers by the line given? Possibly this is the reason 

 the other series is not written out. as by adding one to each red num- 

 ber we obtain the proper result, which, if written out, would be as 

 follows; 1, II; 5, VII; 10, IV; 13. IV; 15, VI; 8, I. 



In Plate 30c are the four day columns here given, with the numeral 

 eleven over each: 



XI XI XI XI 



Ahau Chicchan Oo Men 



Caban Ik Manik Eb 



Ix Cauac Kan Muluc 



Chuen Cib Ymix Cimi 



Lamat Been Ezanab Akbal. 



' The symbol for this day in Kingsborough resembles Lamat, but the photograiiliic 

 copy makes it Ix, as it should be. 

 Torstemann, Erlauterungen zur Mayahandschrift, p. 42. 



