Francisco Cervantes de Salazar calls the "macana" a "sabre."
Francisco Cervantes de Salazar, Crónica de la Nueva España Libro Segundo, ed. Alfred M. Tozzer (New York: Kraus Reprint Corporation, 1966), 238
The cacique was much pleased and ordered to be given to him a shield and sabre (macana), bow and arrows, with which he entered the battle, and since he fought with Spanish spirit, although he was not practiced in that kind of arms, in the presence of his lord he undertook many combats and won them fortunately.