). Whether these heads denote numerals is unknown, but the construction of this glyph in such cases (a head attached to the sign of a time period) absolutely parallels the use of head-variant numerals with time-period glyphs in the inscriptions. A much stronger example of the possible use of head numerals with period glyphs in the codices, however, is found in the Dresden Codex. Here the accompanying head (†

) is almost surely that for the number 16, the hatchet eye denoting 6 and the fleshless lower jaw 10. Compare (†) with fig. [53], f-i, where the head for 16 is shown. The glyph (‡

) here shown is the normal form for the kin sign. Compare fig. [34], b. The meaning of these two forms would thus seem to be 16 kins. In the passage in which these glyphs occur the glyph next preceding the head for 16 is "8 tuns," the numerical coefficient 8 being expressed by one bar and three dots. It seems reasonably clear here, therefore, that the form in question is a head numeral. However, these cases are so very rare and the context where they occur is so little understood, that they have been excluded in the general consideration of head-variant numerals presented above.

[68] It will appear presently that the number 13 could be expressed in two different ways: (1) by a special head meaning 13, and (2) by the essential characteristic of the head for 10 applied to the head for 3 (i. e., 10 + 3 = 13).

[69] For the discussion of Initial Series in cycles other than Cycle 9, see pp. [194]-[207].

[70] The subfixial element in the first three forms of fig. [54] does not seem to be essential, since it is wanting in the last.

[71] As previously explained, the number 20 is used only in the codices and there only in connection with tonalamatls.