It is incontrovertible that those periods, epochs, or ages, took the name of _Ajau Katun_, because they began to be counted from the day _Ajau_, which was the second day of those years that began in Cauac; but as these days and numbers were taken from years which had run their course, the periods of 24 years could never have an arithmetical order, but succeeded each other according to the numbers 13, 11, 9, 7, 5, 3, 1, 12, 10, 8, 6, 4, 2. As the Indians established the number 13 as the first, it is probable that some remarkable event had happened in that year, because, when the Spaniards came to this peninsula, the Indians reckoned then the 8th as the 1st, that being the date at which their ancestors came to settle it; and an Indian writer proposed that they should abandon that order also, and begin counting from the 11th, solely because the conquest had happened in that. Now if the 13 _Ajau Katun_ began on a second day of the year, it must be that year which began on 12 _Cauac_, and the 12th of the indiction. The 11 _Ajau_ would commence in the year of 10 _Cauac_, which happens after a period of 24 years, and so on with the rest; taking notice that after that lapse of years we come to the respective number marked in the course of the Ajaues, which is placed first; proving that they consist of 24, and not, as some have believed, of 20 years. _Series of the years completed in two Ajau Katunes, having their beginning in the year of our Lord_ 1488, _in which the 13th Ajau commences on the 2d day of the year 12 Cauac, being the 12th of the first indiction._ ------|-----------------|------|--------------------| | 13th | | 13th | A.D. | Ajau. | A.D. | Ajau. | ------|-----------|-----|------|-----------|--------| 1488 | 12. Cauac | L | 1500 | 11. Cauac | L | 1489 | 13. Kan | a | 1501 | 12. Kan | a | 1490 | 1. Muluc | m | 1502 | 13. Muluc | m | 1491 | 2. Gix | a | 1503 | 1. Gix | a | 1492 | 3. Cauac | y | 1504 | 2. Cauac | y | 1493 | 4. Kan | t | 1505 | 3. Kan | t | 1494 | 5. Muluc | u | 1506 | 4. Muluc | u | 1495 | 6. Gix | n | 1507 | 5. Gix | n | 1496 | 7. Cauac | . | 1508 | 6. Cauac | . | 1497 | 8. Kan | | 1509 | 7. Kan | Laib | 1498 | 9. Muluc | | 1510 | 8. Muluc | oc | 1499 | 10. Gix | | 1511 | 9. Gix | Katun. | ------|-----------|-----|------|-----------|--------|