| Days of the Oajaquian Month. | Days of the Yucateco Month. | ||
| 1. Votan. | 11. Ben. | 1. Kan. | 11. Hix or Gix. |
| 2. Ghanan. | 12. Hix. | 2. Chicchan. | 12. Men. |
| 3. Abagh. | 13. Tzinkin. | 3. Quimí. | 13. Quib. |
| 4. Tox. | 14. Chabin. | 4. Manik. | 14. Caban. |
| 5. Moxic. | 15. Chue or Chic. | 5. Lamat. | 15. Edznab. |
| 6. Lambat. | 16. Chinax. | 6. Muluc. | 16. Cauac. |
| 7. Molo or Mulu. | 17. Cahogh. | 7. Oc. | 17. Ajau. |
| 8. Elah or Elab. | 18. Aghual. | 8. Chuen. | 18. Ymix. |
| 9. Batz. | 19. Mox. | 9. Eb. | 19. Yk. |
| 10. Enoh or Enob. | 20. Ygh. | 10. Ben. | 20. Akbal. |
Oajacan Ghanan, gh being pronounced as k, is the same with the Yucateco Kan or Kanan (yellow); Molo or Mulu, Muluc; Chue, Chuen; Aghual, Akbal ox Akual; Ygk, Yk; Lambat, Lamat; Ben and Hix, Be-en and Gix or Hix. These analogies, and the fact that some of the Yucateco names have no known signification, induce the belief that both calendars had a common origin, with only such alterations as the priests made on account of particular events or for other reasons; which alterations our Indians adopted, leaving the other signs unchanged, either because they were accustomed to them, or because their signification, now forgotten, was then known.
The Indians of Yucatan had yet another species of cycle; but as the method followed by them in using it cannot be found, nor any example by which an idea of its nature might be imagined, I shall only copy what is literally said of it in a manuscript, viz.: "There was another number, which they called Ua Katun, and which served them as a key to find the Katunes. According to the order of its march, it falls on the days of the Uayeb jaab, and revolves to the end of certain years: Katunes 13, 9, 5, 1, 10, 6, 2, 11, 7, 3, 12, 8, 4."
[N.B. Uayeb jaab is one of the names given to the five supplementary days of the year, and also to the last four years of the Ajau of 24 years.]
Series of Ajaues, from the beginning of the vulgar era to the present year, and those following until the end of the cycle. It is formed of three columns: the first containing the years of the Christian era; the second, the years of the indiction in which the Ajaues commenced, on their second day; and the third, the succession of these Ajaues. (The vulgar era began in the year 7 Kan, which was the 2d of 7 Ajau, that commenced the second day of the year of the indiction 6 Cauac).
| Years of our Lord. | Years of the Indiction. | Ajaues that began in them. | Years of our Lord. | Years of the Indiction. | Ajaues that began in them. |
| 24 | 4. Cauac. | 5. Ajau. | 984 | 2. Cauac. | 3. Ajau. |
| 48 | 2. Cauac. | 3. Ajau. | 1008 | 13. Cauac. | 1. Ajau. |
| 72 | 13. Cauac. | 1. Ajau. | 1032 | 11. Cauac. | 12. Ajau. |
| 96 | 11. Cauac. | 12. Ajau. | 1056 | 9. Cauac. | 10. Ajau. |
| 120 | 9. Cauac. | 10. Ajau. | 1080 | 7. Cauac. | 8. Ajau. |
| 144 | 7. Cauac. | 8. Ajau. | 1104 | 5. Cauac. | 6. Ajau. |
| 168 | 5. Cauac. | 6. Ajau. | 1128 | 3. Cauac. | 4. Ajau. |
| 192 | 3. Cauac. | 4. Ajau. | 1152 | 1. Cauac. | 2. Ajau. |
| 216 | 1. Cauac. | 2. Ajau. | *1176 | *12. Cauac. | *13. Ajau. |
| *240 | *12. Cauac. | *13. Ajau. | 1200 | 10. Cauac. | 11. Ajau. |
| 264 | 10. Cauac. | 11. Ajau. | 1224 | 8. Cauac. | 9. Ajau. |
| 288 | 8. Cauac. | 9. Ajau. | 1248 | 6. Cauac. | 7. Ajau. |
| 312 | 6. Cauac. | 7. Ajau. | 1272 | 4. Cauac. | 5. Ajau. |
| 336 | 4. Cauac. | 5. Ajau. | 1296 | 2. Cauac. | 3. Ajau. |
| 360 | 2. Cauac. | 3. Ajau. | 1320 | 13. Cauac. | 1. Ajau. |
| 384 | 13. Cauac. | 1. Ajau. | 1344 | 11. Cauac. | 12. Ajau. |
| 408 | 11. Cauac. | 12. Ajau. | 1368 | 9. Cauac. | 10. Ajau. |
| 432 | 9. Cauac. | 10. Ajau. | 1392 | 7. Cauac. | 8. Ajau. |
| 456 | 7. Cauac. | 8. Ajau. | 1416 | 5. Cauac. | 6. Ajau. |
| 480 | 5. Cauac. | 6. Ajau. | 1440 | 3. Cauac. | 4. Ajau. |
| 504 | 3. Cauac. | 4. Ajau. | 1464 | 1. Cauac. | 2. Ajau. |
| 528 | 1. Cauac. | 2. Ajau. | *1488 | *12. Cauac. | *13. Ajau. |
| *552 | *12. Cauac. | *13. Ajau. | 1512 | 10. Cauac. | 11. Ajau. |
| 576 | 10. Cauac. | 11. Ajau. | 1536 | 8. Cauac. | 9. Ajau. |
| 600 | 8. Cauac. | 9. Ajau. | 1560 | 6. Cauac. | 7. Ajau. |
| 624 | 6. Cauac. | 7. Ajau. | 1584 | 4. Cauac. | 5. Ajau. |
| 648 | 4. Cauac. | 5. Ajau. | 1608 | 2. Cauac. | 3. Ajau. |
| 672 | 2. Cauac. | 3. Ajau. | 1632 | 13. Cauac. | 1. Ajau. |
| 696 | 13. Cauac. | 1. Ajau. | 1656 | 11. Cauac. | 12. Ajau. |
| 720 | 11. Cauac. | 12. Ajau. | 1680 | 9. Cauac. | 10. Ajau. |
| 744 | 9. Cauac. | 10. Ajau. | 1704 | 7. Cauac. | 8. Ajau. |
| 768 | 7. Cauac. | 8. Ajau. | 1728 | 5. Cauac. | 6. Ajau. |
| 792 | 5. Cauac. | 6. Ajau. | 1752 | 3. Cauac. | 4. Ajau. |
| 816 | 3. Cauac. | 4. Ajau. | 1776 | 1. Cauac. | 2. Ajau. |
| 840 | 1. Cauac. | 2. Ajau. | *1800 | *12. Cauac. | *13. Ajau. |
| *864 | *12. Cauac. | *13. Ajau. | 1824 | 10. Cauac. | 11. Ajau. |
| 888 | 10. Cauac. | 11. Ajau. | 1848 | 8. Cauac. | 9. Ajau. |
| 912 | 8. Cauac. | 9. Ajau. | 1872 | 6. Cauac. | 7. Ajau. |
| 936 | 6. Cauac. | 7. Ajau. | 1896 | 4. Cauac. | 5. Ajau. |
| 960 | 4. Cauac. | 5. Ajau. |
From the preceding series it is manifest that from the birth of Christ until the beginning of this cycle, have elapsed 6 great cycles, one epoch, and 17 (years) of another; the first epoch of the first cycle requiring a year, as has been stated.
Additional Note at End of Don J. P. Perez's Essay.
Since this exposition was written, I have had an opportunity of seeing the work, above quoted, of Chevalier Boturini, in which, speaking of the Toltec Indians, he says:
After their peregrination through Asia, they reached the Continent (America), and penetrated to Hutchuetlapallan, the first city of New Spain, in which their wise men convened 130 and some years before the birth of Christ; and seeing that the civil did not agree with the astronomical year, and that the equinoctial days were altered, they determined to add in every four years one day, in order to recover the hours which were (annually) lost. And it is supposed that they effected it by counting one of the symbols of the last month of the year twice (as the Romans did with their bissextile days), without disturbing their order, because adding or taking away (a symbol) would destroy their perpetual system; and thus they made the commencement of the civil year to agree with the vernal equinox, which was the principal and governing part of the year.