In the above outline each number represents the total distance of the day just below it from the unexpressed starting point, 1 Ahau, _not_ the distance from the date immediately preceding it in the series. For example, the second number, 5,840 (16.4.0), is not to be counted forward from 9 Ahau in order to reach its terminal date, 4 Ahau, but from the unexpressed starting point of the whole series, the day 1 Ahau. Similarly the third number, 8,760 (1.4.6.0), is not to be counted forward from 4 Ahau in order to reach 12 Ahau, but from 1 Ahau instead, and so on throughout the series. {277} Beginning with the number 2,920 and the starting point 1 Ahau, the first twelve terms, that is, the numbers in the three lowest rows, are the first 12 multiples of 2,920. 2,920 = 1 × 2,920 20,440 = 7 × 2,920 5,840 = 2 × 2,920 23,360 = 8 × 2,920 8,760 = 3 × 2,920 26,280 = 9 × 2,920 11,680 = 4 × 2,920 29,200 = 10 × 2,920 14,600 = 5 × 2,920 32,120 = 11 × 2,920 17,520 = 6 × 2,920 35,040 = 12 × 2,920 The days recorded under each of these numbers, as mentioned above, are the terminal dates of these distances from the starting point, 1 Ahau. Passing over the fourth row from the bottom, which, as will appear presently, is probably an interpolation of some kind, the thirteenth number--that is, the right-hand one in the top row--is 37,960. But 37,960 is 13 × 2,920, a continuation of our series the twelfth term of which appeared in the left-hand number of the third row. Under the thirteenth number is set down the day 1 Ahau; in other words, not until the thirteenth multiple of 2,920 is reached is the terminal day the same as the starting point. With this thirteenth term 2,920 ceases to be the unit of increase, and the thirteenth term itself (37,960) is used as a difference to reach the remaining three terms on this top line, all of which are multiples of 37,960. 37,960 = 1 × 37,960 or 13 × 2,920 75,920 = 2 × 37,960 or 26 × 2,920 113,880 = 3 × 37,960 or 39 × 2,920 151,840 = 4 × 37,960 or 52 × 2,920 Counting forward each one of these from the starting point of this entire series, 1 Ahau, each will be found to reach as its terminal day 1 Ahau, as recorded under each. The fourth line from the bottom is more difficult to understand, and the explanation offered by Professor Förstemann, that the first and third terms and the second and fourth are to be combined by addition or subtraction, leaves much to be desired. Omitting this row, however, the remaining numbers, those which are multiples of 2,920, admit of an easy explanation.