The reference of the colors and the elements to the cardinal points is too varied to afford us any assistance in arriving at a conclusion in this respect. In the assignment of the elements to the years we find that, water is referred by all the authorities named to _Acatl_, and fire by all but one (Gemelli), to _Tecpatl_. One thing more must be mentioned before we appeal directly to the codices. As the groups of five days, so often heretofore referred to, were assigned to the cardinal points, it is proper to notice here what is said on this point. So far, I have found it referred to only in the Exposition of the Vatican Codex and by Schultz-Sellack in the article before cited. As the latter refers to them by numbers only, I give here a list of the Mexican days, with numbers corresponding with the positions they severally hold in their regular order. _First column._ _Second column._ _Third column._ _Fourth column._ 1. Cipactli. 2. Ehecatl. 3. Calli. 4. Cuetzpalin. 5. Coatl. 6. Miquitzli.[TN-16] 7. Mazatl. 8. Tochtli. 9. Atl. 10. Itzquintli. 11. Ozomatli. 12. Malinalli. 13. Acatl. 14. Ocelotl. 15. Quauhtli. 16. Cozcaquauhtli. 17. Ollin. 18. Tecpatl. 19. Quiahuitl. 20. Xochitl. Using the numbers only, 1, 5, 9, 13, and 17 will denote the first column; 2, 6, 10, 14, and 18 the second, &c. Schultz-Sellack states that: 4, 8, 12, 16, 20 were assigned to the south. 1, 5, 9, 13, 17, to the east. 2, 6, 10, 14, 18, to the north. 3, 7, 11, 15, 19, to the west. But, as he only quotes from the explanation of the Vatican Codex as given by Kingsborough,[42] will present here the statement of this authority: