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So far facts and arguments give some support for a guess:

summer solstice winter solstice
Pa11-21 Qb2-9 *Ya1-3 *Yc3-7

Admittedly, the orientation of hahe glyphs is vertical instead of as for instance in the solstice diagram on top of the lintel stone of 'the burden of Maui*:

But if we are using the orientation of the very old Mnjadra solar temple on Malta as the natural frame of reference, where the opening for the sun is of central importance, the hahe orientation becomes reasonable:

In Tahua there are exemples of both hahe variants:

Aa3-9 Ab2-36 Ab5-66

Hopefully these will either 'prove' or 'disprove' the guess above.

 

The orientation of Aa3-9 is slightly forwards in contrast to the orientation of Ab2-36.

 

We begin by counting distances:

side a side b
183 486 117 271 274
Aa3-9 (184) Ab2-36 (788) Ab5-66 (1060)
670 664
1334

Immediately the ordinal number for Aa3-9 can be noted. Day 184 lies 180 days earlier than day 364, which fact seems to be understood in the K text:

...
*Kb5-1 (173) *Kb5-2 *Kb5-3 *Kb5-4 *Kb5-5 *Kb5-6
... ...
*Kb5-7 *Kb5-8 *Kb5-9 *Kb5-10 *Kb5-11 *Kb5-12 (184)
*Kb5-13 *Kb5-14 *Kb5-15 *Kb5-16 (188)
*Kb5-12 is drawn in full, and 184 + 180 = 364.

Neither *Kb5-8 (180) nor *Kb5-11 (183) is visible. 180 + 180 = 360 and 183 + 180 = 363 (the day of Rogo).

Henua in *Kb5-2 is drawn faultlessly and 174 + 180 = 354 = 12 * 29.5.

If it has been counted from winter solstice hahe in Aa3-9 must be close to summer solstice, maybe even indicating it. We should look at the surrounding glyphs.

 

 

We recognize Aa3-6--15 because these glyphs have been studied earlier (cfr manu kake):

Aa3-6 Aa3-7 Aa3-8 Aa3-9 (184) Aa3-10
Aa3-11 Aa3-12 Aa3-13 Aa3-14 Aa3-15 (190)

A manu kake glyph occupies a position of Janus, it stands on the boundary between the old and the new. The added little rhomb at top center in Aa3-10 is presumably the same as in the middle of the preceding hahe glyph.

If counting should begin with Ab1-1, then hahe in Aa3-9 acquires another relevant number:

side b side a
117 271 274 183 486
Ab2-36 (118) Ab5-66 (390) Aa3-9 (848)
848 = 16 * 53

53 is a number which we recognize from e.g. the G text, where 2 * 53 measures the distance from 365 to 471:

 ... 53 is one more than 52 (weeks in a year) and therefore corresponds to 29 (one more than 28 shining moon nights in a month) ... 265 = 5 * 53, and 53 is a number similar to 29 (the dark night of the month). 52 * 7 = 364 and 53 * 7 = 371 = 471 - 100 ...

The latter statement (cfr at henua) referred to the measure 265 from one takaure glyph to the next:

67

111

82

Gb3-1 (292)

Gb5-6

Gb8-30 Ga1-1 Ga4-1

Ga4-2

180 85
265 = 5 * 53

With manu kake immediately to the right of hahe in Aa3-9 it is not strange to find number 53 associated with this hahe glyph.

The Tahua text possibly contains two major parts, one with 16 * 53 = 848 glyphs and one with 6 * 81 = 486 glyphs. 1334 = 6 * 81 + 16 * 53.

848 can be read as 84 and 8, in which case we can multiply 84 * 8 = 672 = 14 * 48. Or we can read 8 and 48, which gives 8 * 48 = 384. The difference is 6 * 48 = 288, which number we recognize:

126 446
*Qb5-35 (1) *Qb5-36 Qb2-9 Qb2-10 (448)
64 + 448 / 2 = 288 days

 

The measure 265 = 5 * 53 from one takaure to the next covers a dark season in the calendar. 85 = 5 * 13 is beginning with puo. There are 196 = 4 * 49 = 7 * 28 days from tagata at day 360 to tagata in Ga4-1. 472 - 196 = 276 = 12 * 23. Maybe it means that 472 is the sum of the dark 7 * 28 and the light 12 * 23 - both 28 and 24 is one less than 'midnight'.

But then 265 = 5 * 53 will be equal to 69 (Gb3-1 -- Gb5-6) and 196. The change of position between 6 and 9 is striking. 6 is still in the light domain, while 9 refers to the dark domain. 69 means a change from light to darkness and 196 the opposite. 69 + 196 = 265. 9 is 6 turned upside down.