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be 11. Or it may be assumed that the spot under the 5 in 17-b belongs to it, making 6 instead of 5, which figures out. The final result is the same, as we have either 10 and 6, or 11 and 5, in these two places, and either reaches properly the clear red 8 in 17-b. In 18-a we find black 26, with a small red 8 below, and a large red 13 in the usual place at the side. The red 8 will have to be disregarded, as not part of the series, which requires 13, and nothing else. We may now possibly set down the series as follows, using small figures above the the[TN-2] line for the black counters, and putting in parentheses all numbers restored: (6)^{3}9^{(6)}(2)^{5}7^{6}13^{11}(11)^{5}3^{5}8^{5}(13)^{26}13^{10}10, or else (6)^{3}9^{(6)}(2)^{5}7^{6}13^{10}(10)^{5}2^{6}8^{5}(13)^{26}13^{10}10 This leaves us the black number at the beginning, in 15-a, and both numbers at the end, 18-c, still not filled in. Adding together all the counters we get 82, plus at least the two missing black numbers, one at each end. If the total were 104, we might expect it to have been comprised within the four subsections 15-a to 18-a. But 104 is not a tonalamatl fraction. 130 days, although a tonalamatl half, is an unknown division, and would hardly get into the space. If we begin the series in the upper division of the page (as occurs in Dres.) and come around to the middle division, the probabilities would require that it displayed a full series of 260 days, and again also that it began _to the left_ of page 15. The probabilities of this series as it is, therefore, indicate at least a page 14 to the left, arranged like the other four, and forming one chapter with them. We have now to deal with the puzzling numeral columns, in alternating colors, found to the left of each subsection of the upper and middle divisions--24 columns in all. These have been referred to at some length in the preliminary discussion of the colors, and there is little more that can be said. As there said, the entire reason for alternating the colors can not be certainly assumed. Alternation of color occurs not only where it is needed to distinguish bars, but also where we have only lines of dots, which are of course self-separating. And to say that it is only for artistic purposes is a mere begging of the question. Only four or five of these columns are complete, and a footing of the numbers in each gives us varying amounts from 113 to 153, and tells us nothing.
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