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The turtle, hônu, is the 'master of fire' and fire means first of all the sun. At ignition the turtle is present. But he is also present when the fire is to be put out. In the G calendar he is present both in the 3rd period and around autumn equinox (periods 17-20). In the 17th period sun is leaving (Ga5-7):

3
Ga3-10 Ga3-11 Ga3-12 Ga3-13 Ga3-14 Ga3-15 Ga3-16
17
Ga5-4 Ga5-5 Ga5-6 Ga5-7 Ga5-8 Ga5-9

We have learnt from the E calendar that it is quite possible for the first and last periods to be outside the regular calendar, and it may therefore be so that the 3rd period in G refers back to new year time. On the other hand new year may in G have been defined from spring equinox rather than from winter solstice. The curious looking head in Ga3-10 is a sign of vero. Periods 1-3 may refer forward to spring, summer respectively to autumn, and vero will then mean the disappearance of sun around autumn equinox.

We have learnt how in the E calendar sun is waning from midsummer, which may explain why hônu appears in period 12 - hônu drives the sun away:

12
Eb4-7 Eb4-8 Eb4-9 Eb4-10 Eb4-11 Eb4-12