Ideas:

1. My preliminary map of the calendars used in Small Santiago and London Tablet, implying 28 periods of 13 nights each, does not mechanically fit 'the sandal' of winter solstice. I therefore think that the period of new year stretches over at least three such periods, 3 * 13 = 39. The start of the 3rd period is night no. 27 and if we are so lucky as to see the new moon (Ohiro) in the 1st night of the new year, then there will be a new moon at the same time as the time of 'the sandal'.

2. If we regard Tohil as a male member of the family of the gods, then his female counterpart ought to be the fruitful earth goddess (Heart of Earth?). In Popol Vuh I have just read about Mundo (which I guess is a Spanish word for the world), the name the Quiché Indians use for Earth Mother.