_
Gemelli -- Earth -- Water -- Air[41] -- Fire.
Boturini -- Fire -- Earth -- Air -- Water.
Schultz-Sellack -- Air -- Fire -- Water -- Earth.
Chavero -- Earth -- Water -- Fire -- Air.

REFERENCE OF THE ELEMENTS TO THE YEARS.

_Tochtli_--_Acatl_--_Tecpatl_--_Calli_
Veytia -- Air -- Water -- Fire -- Earth.
Gemelli -- Earth -- Water -- Air -- Fire.
Boturini -- Air -- Water -- Fire -- Earth.
Chavero -- Earth -- Water -- Fire -- Air.
Orozco y Berra -- Air -- Water -- Fire -- Earth.

As will be seen from this list, there is entire uniformity in the
assignment of the years or year symbols to the cardinal points, with the
single exception of Boturini. As this author's views in regard to the
calendar are so radically different from all other authorities as to
induce the belief that it applies to some other than the Aztec or true
Mexican calendar we will probably be justified in eliminating his
opinion from the discussion.

Omitting this author, we have entire uniformity among the authorities
named in regard to the reference of the years to the cardinal points, as
follows:

_Tochtli_ to the _south_; _Acatl_ to the _east_; _Tecpatl_ to the
_north_, and _Calli_ to the _west_.

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. Ozo