No longer can we avoid discussing the roles of the planets of the week. As a preliminary, but important, step I suggest the following wave-like pattern was in the mind of the designer of the week:

Instead of 'fire' and 'water' we could say e.g. 'high' and 'low'. The system of correspondences will also enable us to identify Sun, Mars, and Jupiter as 'male', while the other will be 'female' in character.

Saturn seems not to be a part of the game - which can be identified as the game of 'life' (i.e. light).

The wave crests are high up and the wave troughs are low down. A rhythm permeates living nature - ebb and high tide, growing and fading away, sun and stars, breathing in and breathing out, light and shadow. Without contrasts nothing would be discernible.

Of necessity the calendar makers (time keepers) must have tried to find the ups and downs in the flow of time. And they would seek to apply earlier successful such attempts to their new endeavours. The week was probably not the first such 'map'.

The birth of Sun we have found to be equal to the birth of the new year (beyond winter solstice). Moon (night) then seems to reign up to the arrival of spring light. The planet which brings the spring 'fire' is Mars. Mercury must be the planet who follows him, although not easy to perceive in the calendar course of the year (nor by observations in the sky).

If we begin our calendar with Venus (influenced by what we have read in H), then Saturn - who can be characterized as death personified - will be beyond Venus but before the arrival of the newborn Sun ('son' of the old Sun). Saturn is placed where sun is most faint and where he has stopped moving, and Saturn is indeed a very faint planet which moves only slowly - as if old - across the sky. We can therefore define our calendar as:

If we work with lunar months, a natural beginning for our calendar of the year would be for instance the day beyond day 354 (= 12 * 29.5). At that time the old year has gone away, which explains why suddenly a female in the night (Venus as evening star) is ruling. We can imagine that she in due time will give birth to next sun.

Jupiter will arrive 6 months beyond the end of the old year, 4 months beyond winter solstice. But presumably we instead ought to count in double-months, in which case Jupiter will come 8 months beyond winter solstice. That will put him in high summer where he belongs.

Our calendar can be rearranged so it looks more familiar:

In order to reach winter solstice at Saturn, the calendar needs to be counted correctly. 13 * 28 = 364 is one possibility. Jupiter would then begin with day 4 * 56 + 1 = 225 (= 15 * 15) and end at day 5 * 56 = 280. Venus will rule from day 281 to day 280 + 56 = 336. Saturn will get only half a double-month, reigning at the end of the year from day 337 up to (but not including) day 365. 13 will come to mean death.

Jupiter represents the last phase of the sun, and when he disappears first Venus and then Saturn takes over. Sun is not present for more than 10 months.

In H we can identify when his half-time has been reached. The end of the first half is with day number 150, and a clear sign of the break in time can be seen in Ha9-2:

glyph numbers and days are counted from Ha1-4
Ha9-2	Ha9-3	Ha9-4 (450)	Ha9-5	Ha9-6	Ha9-7
150			151

The months are here evidently measured as 30 days long. A fat henua (Ha9-4) says the season of growing has ended, there will be no more 'eating'. The preceding manu rere exhibits a Y-formed 'hand' (meaning 'straw').

My idea of wave patterns in the texts allows different levels of waves:

Next level down would be half-months and so on, with all levels following an oscillating pattern.

There is an interesting ariga erua without 'eyes' not far beyond day 150:

glyph numbers and days are counted from Ha1-4
*Ha9-37 (483)	*Ha9-38	*Ha9-39	*Ha9-40	*Ha9-41	*Ha9-42 (488)
*Ha9-43	*Ha9-44	*Ha9-45	*Ha9-46	*Ha9-47	*Ha9-48

Ua (*Ha9-43) follows, which explains why there are no 'eyes' in Ha9-42. We have entered a season which is 'down in the water', the natural consequence of the preceding 'wave crest' at day 150. Moe (Ha9-37) 'inaugurates' the 'wave trough' phase.

483 / 3 = 161, and if we add 64 to calibrate according to winter solstice, the day number will be 161 + 64 = 225 (= 15 * 15). We can say that moe is the end of the 'fire' (similar to day 15 at full moon). A moe glyph straddles the border between the old and new seasons - it belongs to the old season, yet it announces the arrival of the new season.

Furthermore, if the rule of Mars is ending here, then ariga erua without eyes will be under the rule of Mercury (a liquid). Hanau in *Ha9-40 has its left arm starting from nothing, and its right hand is empty - no 'fire' (rima), no fingers (rima). 'Fire' cannot be associated with a dip into 'water'.

My suggestion of a connection with Mercury is, however, purely a guess. But wave forms there are in the texts.