226 BUREAU OF AMERICAN ETHNOLOGY [bull. 57 



and this tun ending corresponded, therefore, to the Initial Series 

 9.8.13.0.0 5 Ahau 18 Tzec. 



Another tun-endmg date from Stehi, 5 at Tikal is figured in plate 

 21, G} In glyphs 1 and 2 the date 4 Ahau 8 Yaxkin appears, the 

 month sign being represented as a head variant, whicli has the essen- 

 tial elements of the sign for Yaxkin (see fig. 19, h, I). Following this 

 m glyph 3 is Tun 13, to wliich is prefixed the same ending-sign 

 variant as the prefixial or superfixial elements in figure 37, i, r, u, v. 

 We have recorded here then "Tun 13 ending on 4 Ahau 8 Yaxkin," 

 though there seems to be no mention elsewhere m this inscription 

 of the number of the katim in which this particular tun fell. By 

 referring to Great Cycle 54 of Goodman's Tables (Goodman, 1897), 

 however, it appears that Tmi 13 of Katun 15 of Cycle 9 closed with 

 this date 4 Ahau 8 Yaxkin, and we may assume, therefore, that tliis 

 is the correct position in the Long Count of the tun-ending date here 

 recorded. This date corresponds to the Initial Series 9.15.13.0.0 4 

 Ahau 8 Yaxkin. 



There is a very unusual Period-ending date on the west side of 

 Stela C at Quirigua^ (see pi. 21, H). In glyphs 1 and 2 appears the 

 number kins, uinals, 5 tuns, and 17 katmis, wliich we may write 

 17.5.0.0, and following tlus in glyphs 3 and 4 is the date 6 Ahau 13 

 Kayab. At first sight this would appear to be a Secondary Series, 

 the number 17.5.0.0 being counted forward from some preceding 

 date to reach the date 6 Ahau 13 Kayab recorded just after it. The 

 next date preceding this on the west side of Stela C at Quirigua is the 

 Initial-series terminal date 6 Ahau 13 Yaxkin, illustrated together wdth 

 its correspondmg Initial-series number in figure 68, A. However, 

 all attempts to reach the date 6 Ahau 13 Kayab by countmg either 

 forward or backward the number 17.5.0.0 from the date 6 Ahau 13 

 Yaxkin will prove unsuccessful, and we must seek another explana- 

 tion for the four glyphs here under discussion. If this were a Period- 

 ending date it would mean that Tun 5 of Katun 17 came to an end 

 on the date 6 Ahau 13 Kayab. Let us see whether this is true. 

 Assuming that our cycle coefficient is 9, as we have done in all the 

 other Period-ending dates presented, we may express glyphs 1 and 2 

 as the following Initial-series number, provided they represent a 

 period enduig, not a Secondary-series number: 9.17.5.0.0. Reduc- 

 ing tliis number to units of the 1st order, and applying the rides 

 previously given for solving Initial Series, the terminal date reached 

 will be 6 Ahau 13 Kayab, identical with the date recorded in glyphs 

 3 and 4. We may conclude, therefore, that this example records the 

 fact that "Tun 5 of Katun 17 ended on the date 6 Ahau 13 Kayab," 

 this being identical with the Initial Series 9.17.5.0.0 6 Ahau 13 Kayab. 



• Maler, 1911: v, pi. 17, east side, glyphs A4-A5. 



2 See Maudslay, 1889-1902: ii, pi. 19, west side, plyphs B10-A12. 



