Similarly the third division, commencing with the day 1 Eznab, could be shown to have three parts, of 13, 26, and 13 days each, commencing with the day 1 Eznab, 1 Chuen, and 1 Caban, respectively. It could be shown, also, that the fourth division commenced with the day 1 Oc (compare the fourth sign in the column of day signs with figure 17, _o_), and, further, that it had three subdivisions containing 13, 26, and 13 days each, commencing with the days 1 Oc, 1 Akbal, and 1 Muluc, respectively. Finally, the fifth and last division of the tonalamatl will commence with the day 1 Ik. Compare the last day sign in the column of day signs with figure 17, _c, d_; and its three subdivisions of 13, 26, and 13 days each with the days 1 Ik, 1 Men, and 1 Imix, respectively. The student will note also that when the last black number, 13, has been added to the beginning day of the _last subdivision_ of the _last division_, the day reached will be 1 Ix, the day with which the tonalamatl commenced. This period is continuous, therefore, reentering itself immediately on its conclusion and commencing anew. {257} There follows below an outline[244] of this particular tonalamatl: ---------------------+---------+-----------+---------+---------+--------- |1st |2d |3d |4th |5th |Division |Division |Division |Division |Division ---------------------+---------+-----------+---------+---------+--------- 1st part, 13 days, | | | | | beginning with day |1 Ix |1 Cimi |1 Eznab |1 Oc |1 Ik | | | | | 2d part, 26 days, | | | | | beginning with day |1 Manik |1 Cauac |1 Chuen |1 Akbal |1 Men | | | | | 3d part, 13 days, | | | | | beginning with day |1 Ben |1 Chicchan |1 Caban |1 Muluc |1 Imix | | | | | Total number of days |52 |52 |52 |52 |52 ---------------------+---------+-----------+---------+---------+--------- Next tonalamatl: 1st Division, 1st part, 13 days, beginning with the day 1 Ix, etc. We may now apply rule 4 (p. 253) as a test to this tonalamatl. Multiplying the sum of all the black numbers, 13 + 26 + 13 = 52, by the number of day signs in the column of day signs, 5, we obtain 260 (52 × 5), which proves that this tonalamatl is regular and correct.