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Although the period for Venus as Morning star was equal in length to the period for Venus as Evening star, viz. ca 263 days, the Mayas had adjusted these periods in order to fit with a structure incorporating also other cycles, first of all the synodic cycle of the Moon:

... The Mayas feared Venus. I guess she dominated time too much for comfort. It is extraordinary how her behaviour evidently is ruling events.

'After five complete cycles totaling 2,920 days, the movement of Venus fill eight idealized years of 365 days each and come within hours of spanning 99 lunations.' (Popol Vuh)

8 * 365 = 5 * 584 = 2920 days, and 99 * 29.5 = 2920½. Thus 5 Venus cycles are joined to 8 Earth years in a way similar to how 7 'Sun flames' are joined to 6 'Moon flames'.

And 99 Moon cycles are also joined to 5 Venus cycles (and to 8 Earth years):

5 Venus cycles 8 years 99 Moon cycles
2920 (= 40 * 73) nights

The Mayas must have manipulated the data of their factual observations of Venus in order to accomplish a coordination in their calendar between the morning star period (263 nights) and 8 lunar months (236 nights):

 phase

observed periods

periods in the Mayan 'map'

difference

evening star

263

250

- 13

black

8

8

0

morning star

263

236

- 27

black

50

90

+ 40

sum

584

584

0

'The Maya and later the Central Mexicans divided the motion of Venus into four intervals. They assigned an 8-day period to the disappearance at inferior conjunction [when Venus is between sun and Earth], which is close to that observed today. But, peculiarly, Maya manuscripts recorded a disappearance interval of 90 days at superior conjunction [when Venus is behind the sun], nearly double the true value. Furthermore, they assigned unequal values to the intervals as morning and evening star: 250 and 236 days, respectively. [This must be an error as 250 days refers to evening star and 236 refers to morning star.] In fact, the true intervals are equivalent at approximately 263 days. These curious intervals betray a lunar origin: the latter three are whole or half multiples of the lunar synodic month: 

236 = 8.0 lunar synodic months - 0.24

90 = 3.0 lunar synodic months + 1.41

250 = 8.5 lunar synodic months - 1.25

In practice this means that if, for example, a first-quarter moon was visible at a morning heliacal [first appearance after having been invisible due to being close to, behind of or in front of the sun] rise of Venus, then the moon's phase, on average, would be the same on the last day that morning star Venus was seen in the east. When Venus reappeared as the evening star in the west, the moon would appear in the opposite phase (last quarter).' (Skywatchers)

The G text was obviously designed in order to fit with counting time according to lunar synodic months.

... From this we can in G and glyph number 236 recognize the last day of 'the morning star' ('the front side'):

8 'feathers' at left and 8 at right will together be 16 and 16 * 29.5 = twice 236.

Gb1-1

Gb1-2

Gb1-3

Gb1-4

Gb1-5

Gb1-6 (236)

Gb1-7

Gb1-8

Gb1-9

Gb1-10

Gb1-11

Gb1-12

I ended my earlier discussion, quoted above, by suggesting a possible structure for the G text:

 phase

observed periods

periods in the G text

difference

evening star

263

290

+ 27

black

8

8

-

morning star

263

236

- 27

black

50

50

-

sum

584

584

0

Notably the number of glyphs on the C tablet (740) equals 2 * (290 + 50) = 2 * (250 + 90). This suggests the C text might have been intended to describe the situation south of the equator - because the northern spring ('morning Sun') should have corresponded to Venus as Morning star. 584 - 340 = 244 = 8 + 236.

What constellation could possibly Te Huki be? Gb1-5 is similar to Cb1-14:

huki

Gb1-5

Cb1-14

So far my Polynesian word list has only the following to say about huki:

Huki

1. Pole attached to the poop from which the fishing-net is suspended: huki kupega. 2. Digging stick. 3. To set vertically, to stand (vt.). 4. Huki á te mahina, said of the new moon when both its horns have become visible. Vanaga.

1. To post up, to publish. 2. To cut the throat (uki). Mq.: Small sticks which close up the ridge of a house. Ha.: hui, the small uniting sticks in a thatched house.  Churchill.

Standing upright. Barthel. M. Spit for roasting. Te Huki, a constellation. Makemson.

Hukihuki. 1. Colic. 2. To transpierce, a pricking. 3. To sink to the bottom. Churchill.

After consulting Fornander we can add:

HUI¹, v. Haw., to unite together, to mix, to add one to another, to assemble, meet; s. cluster, collection of things; huihui, a bunch, cluster; huiuna (for huiana), a seam in a garment; la-hui, collection of people, a nation.

Sa. sui, to dilute, to add ingredients to a thing; sui, to sew, to thread beads; susui, to mend, repair; susuia, to fasten the ridge-pole of a house. Tong., hui, mingle, mix, join; fufui, a flock of birds. N. Zeal., hui, huhui, to gather, mix, unite; ra-hui, a company; ka-hui, a herd, a flock. Tah., hui, a collection of persons, a company; hui-hui manu, flock of birds; hui-tara-wa, Orion's belt. Marqu., huhui, a bundle of taro.

Sanskr., yu, to bind, join, mix; yuj, to join; yuga, a yoke, a pair, a couple; yûti, mixing; yûtha, flock of birds or beasts. Greek, ζευγνυμι, to join, put to, yoke up, bind, fasten; ζευγος, a yoke of beasts, pair, couple; ζυγον, the yoke; ζωνη, belt, girdle. Lat., jugum, a yoke; jugo, bind up, tie together; jungo, bind, join, unite. Goth., juk, a yoke. A.-Sax., geok, id. Scand., ok, id. Armen., zugel, attach together, yoke up; zoygkh, a couple, a pair. Pers., yûgh, a yoke. Irish, ughaim, harness. Welsh, jow, yoke. Lett., jûgs, yoke. Anc. Slav., jgo, yoke. Bohem., gho, id. Lith., jungas, id.

A singular coincidence of application, if it has no nearer connection, by the Polynesian and the Latin of this word to similar purposes, occurs in the huhui and hui-tarawa of the former and jugulæ of the latter. In Hawaiian huhui designates a constellation generally, but especially that of the Pleiades; in Tahitian hui-tarawa, lit. the transverse or horizontal cluster, designates the stars generally called Orion's belt, and in Latin jugulæ represents the very same stars in the constellation Orion. 

HUI², v. Haw., to ache, be in pain; s. bodily pain; niho-hui, the toothache; hui, huihui, cold, chilly, as morning air or cold water; hukeki, hukiki, cold, shivering on account of wet. N. Zeal., huka, cold. Tah., hui, hui-hui, to throb as an artery, twitchings in the flesh.

Sanskr., çuch¹, to be afflicted, grieve; çuch², to be wet, fetid; çuch, s., sorrow, grief; quære suçîma, cold? To this Sanskr. çuch Benfey refers the Goth. hiufau, to mourn, lament, and the O. H. Germ. huvo, an owl.

Maybe we should understand Te Huki to refer primarily the Pleiades, while also possible to apply to other congretations of stars. The situation would then resemble that of Rehua:

... Rehua has been variously identified with Jupiter by Tregear, with Sirius by Stowell, and with Antares by Best, and there can be no doubt that the name was applied to different objects in various sections of New Zealand ...

In Cb1-14 we can probably understand the upright (ridge-pole) huki to refer to the Pleiades as the junction (yoke) betwen the Old and the New years (cfr also Cb1-13):

403 FEBRUARY 27 (*343) 28 (424) MARCH 1 (60)
APRIL 9 (*384) 10 (465) 11 (101)
Cb1-12 (404) Cb1-13 Cb1-14
manu rere - kua rere ga manu - ki te ragi eaha te nuku erua koia kua huki
April 29 30 (120 = *43 - 3 + 80) May 1 (11 * 11)
*42

*225

DENEBOLA (*43)

ZUBEN ELAKRIBI (*226)

MENKAR = α Ceti

*227

October 29 30 (303) 31
AUGUST 29 30 (242) 31
OCTOBER 9 (*202) 10 11 (284)
10 MARCH 12 13 (72 = 172 - 100) 3-14 (π)
APRIL 22 (477) 23 (*398) 24 (114)
Cb2-1 Cb2-2 (418) Cb2-3 (27)
Eaha te honu kua tupu i to maitaki - o te hau tea te hono huki - maro
May 12 13 (133) 14
TAU-ONO (*55)

*238

ALCYONE (*56)

*239

   MENKHIB PORRIMA (*57)

*240

November 11 12 (316 = *56 + 260) 13
SEPTEMBER 11 12 (255 = 355 - 100) 13
OCTOBER 22 (295) 23 (*216) 24
Hono

Honohono to join, to fit, to adjust, to unite, to patch, joint. Hakahonohono a joining.

P Mgv.: hono, to join or fit pieces of wood together, to piece out a substance with another piece of the same material. Ta.: hono, to join, to unite. Churchill.