TBoMAs] SERIES ON PLATES 29 AND 30. 291 



Extending from tlie right of this group is a numeral series consist- 

 ing of nine pairs of numbers, each pair the same, 13, XL The sum 

 (jf the black numbers (nine 13's) is 117 and the interval between 

 the successive days of each column is 117; tlius, from 11 Ahau to 11 

 Caban is 117 days, and so on down to Lamat, the last of the left hand 

 column. From 11 Lamat to 11 Chicchan (first day of .second column) 

 is also 117, and so on to the end of the fourth column. These four 

 columns, therefore, form one continuous series of 3,223 days, com- 

 mencing with 11 Ahau and ending with 11 Akbal; but, by adding 117 

 days more, so as to bring us back to 11 Ahau — which appears to be 

 in accordance with the plan of these series — the sum is 2,31:0 days, or 

 nine cycles of 200 days each. ' 



The interval between the days,' williout reference to the numbers 

 attached to them, is 17. It may be well to notice here the relation of 

 the intervals between the days when counted in the two ways: (1) the 

 apparent interval, or that Avhich imlic ;i1 1 's thcii- ]n isit i( )n in the month ; 

 (2) the true interval between the (hiy--. imlicitfil liy the symbols and 

 numbers. When the first is G the lutt^T. as \vc lia\ e luund, is 20; wlien 

 the first is 13 the latter is 52; when the tir.st is 5 the latter is 05. and 

 vv'hen it is 17 the latter is 117. 



Particular attention is :ilsn call,.,! hciv t.i til.' fact tliat s.. far no indi- 

 cations of the use of tlir yeari>e|-i,„l uf :!(;:, (lays have been ..hserved; 

 (jn the contrary tlie ryrle nf -,'00 days appears t(.i lie the ]ieri(_)d ti.i wliicli 

 reference is chiefly made. 



Attached to the day column in Plate 290 and running into 30c is a 

 series which presents a difficulty I am unable to explain. The days 

 and numerals in this case are as follows : 

 III 

 Ix 



Muluo 

 The red numeral over the day coiumn is very distinctly III in 

 Kingsborough's work, Init is 11, though somewhat blurred, in Forste- 

 mann's photograph. As III+IO — 13=VI, and the remaining nu- 

 merals agree with this result, III must be correct. Adding together 

 the pairs and casting out the thirteens, thiis. Ill-f- 10 — 13= VI; VI -1- 

 10-13=IX; IX + 10-13=XII; XII -f- 10-13-13=0. we find the 

 last red number, which is wanting in both copies of the codex, to 

 be II, whereas, according to the theory advanced, it should be III. 

 Tlie sum of the black numerals (four lO's) is 04, while the interval be- 

 tween the days is 05. The only way of correcting the mistake, if one 

 has been made, is by arbitrarily changing the last 10 to 17; but uni. 

 formity in the black numerals apparently forbids this change and 

 and indicates that the variation from the usual rule must be accounted 

 for in some other way. 



' Erlauteriiiigen zur Maj'ahanclschrift, ]i. 30, 



