[2] It is very probable that “años” is merely a gloss--and an erroneous one at that. It will then be a good working theory that the score of 360 days is called a katun, and that each katun is distinguished by the name of an ahau with its proper number, with which a katun ended. That the ahau and its number are merely the name of the katun and not the katun itself is shown in No. 5 of Brinton’s Books of Chilan Balam,--the Book of Chumayel. Here in paragraph 1 we have “4 Ahau was the name of the katun,” in paragraph 3 “4 Ahau was the name of the katun,” and in paragraph 7 “11 Ahau was the name of the katun.” To say that “ahau” was a synonym for “katun” would be as foolish as to say of a family containing John Smith, Mary Smith, and James Smith, that John and Mary and James were all synonyms of Smith, when they were merely names to distinguish one Smith from another. This is also shown in the Book of Mani (pp. 96 et seq. of Brinton’s “Maya Chronicles”), where Par. 8 says “Lai u katunil cabil ahau,” “In the katun 2 Ahau.” ” 9 says “Lai u katunil buluc ahau,” “In the katun 11 Ahau.” ” 10 says “Laili u katunil uaxac ahau,” “In the katun 8 Ahau.” ” 12 says “lay u katunil uac ahau,” “In the katun 6 Ahau.” ” 15 says “u katunil ho ahau,” “In the katun 5 Ahau.” Also in the Book of Tizimin (pp. 139 et seq. of Brinton): Par. 6, “Uaxac ahau--lay u katunil,” “8 Ahau--in this katun.” ” 14, “Bolon ahau--lai--u katunil,” “9 Ahau--in this katun.” ” 15, “Vuc ahau--u katunil,” “7 Ahau--in this katun.” Also in the first Book of Chumayel (pp. 154 et seq. of Brinton): Par. 2, “Uaxac ahau--layli u katunil,” “8 Ahau--in this katun.” ” 8, “Bolon ahau--u katunil,” “9 Ahau--in this katun.” Also in the second Book of Chumayel (pp. 166 et seq. of Brinton): Par. 3, “Uaxac ahau u katunil,” “8 Ahau in this katun.” “laix u katunil,” “in this katun.” ” 5, “Hun ahau--lay u katunil,” “1 Ahau--in this katun.” ” 8, “Buluc ahau--laix u katunil,” “11 Ahau--in this katun.” “Buluc ahau. Laix u katunil,” “11 Ahau in this katun.” ” 9, “Bolon ahau--lay katun,” “9 Ahau--in this katun.” “Uac Ahau--lay u katunil,” “6 Ahau--in this katun.”