Katun

Definition and stakes

Sylvanus Griswold Morley,  An Introduction to the Study of the Maya Hieroglyphs

“ The katun and its coefficient are represented in A2, the former by a grotesque bird, an eagle according to Mr. Bowditch, and the latter by another anthropomorphic figure. The period glyph shows no essential element recognizable as such, and its identification as the katun sign therefore rests on its position, immediately following the cycle sign. The head of the full figure, which represents the katun coefficient, shows the essential element of the head for 5, the tun headdress. It has also the fleshless lower jaw of the head for 10. ”
Source: Gutenberg

Sylvanus Griswold Morley,  An Introduction to the Study of the Maya Hieroglyphs (1915)

“ In glyph 4 follows the particular katun (Katun 15) whose end is here recorded. This date corresponds to the Initial Series 9.15.0.0.0 4 Ahau 13 Yax.
Cases where tun endings are recorded are exceedingly rare. The bare statement that a certain tun, as Tun 10, for example, had come to its end left much to be desired in the way of accuracy, since there was a Tun 10 in every katun, and consequently any given tun recurred after an interval of 20 years; in other words, there were three or four different Tun 10's to be distinguished from one another in the average lifetime.
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Source: Wikisource

Sylvanus Griswold Morley,  An Introduction to the Study of the Maya Hieroglyphs

“ If the fish was the original form of the comblike element in the "introducing glyph," it was also the original form of the same element in the katun glyph. (Compare the comb elements (†) in figures 27, a, b, e, and 24, a, b, d with each other.) If this is true, a natural explanation for the use of the fish in the katun sign lies near at hand. As previously explained on page 28, the comblike element stands for the sound ca (c hard) ; while kal in Maya means 20. Also the element (**) stands for the sound tun. Therefore catun or katun means 20 tuns. ”
Source: Gutenberg

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