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I had arranged the first 3 parts of my perceived calendar for the year as follows and had decided winter solstice must be in its first part:

1   1-13
2  14-26
3  27-39

The Mangaians of old had kept their precessional clocks running and '... only at the evening of the solstitial days can spirits enter heaven, the inhabitants of the northern parts of the island at one solstice, the dwellers in the south at the other ...'.

If the Rei type of glyph - together with Rogo the only glyph type with a Capital letter - marked such a spirit leaping place (Rei-ga), then it might show where the 'carapace' of the 'Earth Turtle' had a crack allowing spirits both to escape at to return.

... Considering the fact that the crossroads of ecliptic and Galaxy are crisis-resistant, that is, not concerned with the Precession, the reader may want to know why the Mangaians thought they could go to heaven only on the two solstitial days. Because, in order to 'change trains' comfortably, the constellations that serve as 'gates' to the Milky Way must 'stand' upon the 'earth', meaning that they must rise heliacally either at the equinoxes or at the solstices. The Galaxy is a very broad highway, but even so there must have been some bitter millenia when neither gate was directly available any longer, the one hanging in midair, the other having turned into a submarine entrance ...

The Mangaians of old may have been lucky and had their solstices exactly right. Because possibly this was around 2 * 71 = 142 years earlier than my assumed year 1842 A.D. for the rongorongo texts. Rei in Ga2-27 (π) was 27 positions (precessional days) later than Rei in Ga1-30 which in turn was not at June 21 (solstice) but 2 days later in June 23:

22
Ga1-30 Ga2-1 Ga2-2 Ga2-3 (33) Ga2-4
(365 - 130 = 235) APRIL 21 (*31) 22 23 (113) 24 (*399)
 Furud (94.9) Well-22 / Arkū-sha-pu-u-mash-mashu-9 no star listed (96) β Monocerotis, ν Gemini (97.0) no star listed (98)
δ Columbae (95.2), TEJAT POSTERIOR, Mirzam (95.4), CANOPUS (95.6), ε Monocerotis (95.7), ψ1 Aurigae (95.9)
June 23 ST JOHN'S EVE 25 26 (6 * 29½) 27
ºJune 19 20 (*91) SOLSTICE 22 23
'May 27 (7 * 21 = 147) 28 (*68) 29 30 31
"May 13 (7 * 19 =133) 14 15 (*55) 16 (136) 17
NAKSHATRA DATES:
OCTOBER 20 21 (*214) 22 (295) 23 24
Purva Ashadha-20 Kaus Borealis (279.3) ν Pavonis (280.4), κ Cor. Austr. (280.9) Abhijit-22
KAUS MEDIUS, κ Lyrae (277.5), Tung Hae (277.7) φ Oct. (278.1), KAUS AUSTRALIS (278.3), ξ Pavonis (278.4), Al Athfar (278.6) θ Cor. Austr. (281.0), VEGA (281.8)
December 23 CHRISTMAS EVE 25 26 (360) 27
 ºDec 19 (*273) 20 SOLSTICE  22 23 (357)
'November 26 27 28 29 (333) 30 (*254)
"November 12 (*236) 13 14 15 16 (320)
Ga2-27 Ga2-28 Ga2-29 Ga3-1 (60)
(364 - 227 = 137) MAY 18 (228 - 90 = 138) 19 20
8h (121.7) ρ Puppis (122.0), Heap of Fuel (122.1), ζ Monocerotis (122.3),  ψ Cancri (122.6), Regor (122.7) Tegmine (123.3) Al Tarf (124.3)

Ras Algethi

χ Gemini (121.0), Naos (121.3)
July 20 (201) 21 (*122) 7-22 23
ºJuly 16 (181 + 16) 17 (*118) 18 19 (200)
'June 23 ST JOHN'S EVE 25 (*96) 26 (177)
"June 9 (*80) 10 11 12 (163)
NAKSHATRA DATES:
NOVEMBER 16 (320) 17 18 (*242) 19
20h (304.4) Shang Wei (305.2), θ Sagittae (305.4), Tseen Foo (305.6), ξ Capricorni (305.8) Tso Ke (306.3) Gredi (307.2), σ Capricorni (307.5), Alshat (307.9)
η Sagittae (304.2), δ Pavonis (304.4)
January 19 (384) 20 21 22
ºJanuary 15 (*300) 16 17 1-18 (383)
'December 23 CHRISTMAS EVE 25 (*279) 26 (360)
'December 9 10 11 (*265) 12 (346)

I.e., the creator of the G text could have used the heliacal positions of Furud (ζ Canis Majoris) and ζ Puppis (Naos) to determine his Rei-ga dates - in rongorongo times respectively in Roman times. The enigmatic 123 would then be the difference between half 300 and 27:

26 121
Ga1-30 Ga2-27 (57) Ga7-10 (179)
27 + 123 = 150 (= 300 / 2)

Though maybe the place for the return of spirits should be at another place than where spirits leaped up into the sky. Possibly a place of return (reincarnation) was at heliacal Bright Fire. MAY 21 can be read as 5-21 and then counted as 52 * 1 = 52 which could allude to 364 / 7 - the number of weeks in a year:

Ga3-2 Ga3-3 Ga3-4 Ga3-5 (64)
MAY 21 (*61) 22 23 24 (144)
χ Cancri (125.2), Bright Fire (125.4) Avior (126.4), φ Cancri (126.8) ο Ursa Majoris (127.4)  Pushya-8
υ Cancri (128.1), θ CANCRI (128.2), η Cancri (128.5)
July 24 25 26 27 (80 + 2 * 64)
ºJuly 20 (201) 21 (*122) 22 (7-22) 23
'June 27 28 29 (*100) 30 (181)
"June 13 (164) 14 15 (*86) 16
NAKSHATRA DATES:
NOVEMBER 20 (*244) 21 22 23 (327)
Al Sa’d al Dhabih-20 / Ox / Herd Boy-9 Okul (309.6), Bos (309.9)

Arneb

ο Capricorni (310.2), θ Cephei (310.5)

Alnilam

Rotten Melon, φ Pavonis (311.2), η Delphini (311.4), ζ Delphini, ρ Pavonis (311.7)

Phakt

DABIH (308.0), κ Sagittarii (308.1), Sadir (308.4), Peacock (308.7)
January 23 (388) 24 25 26
ºJanuary 19 (384) 20 (*305) 21 22
'December 27 28 29 30 (364)
"December 13 (Lucia) 14 (348) 15 16 (*270)

Although some may have preferred the Beehive (ε Cancri):

Ga3-6 Ga3-7 Ga3-8 Ga3-9 (68)
MAY 25 26 (146 = 2 * 73) 27 (*67) 28
Āshleshā-9 / Willow-24 Al Nathrah-6 Extended Net-26a / Arkū-sha-nangaru-sha-shūtu-13 ι Cancri (132.0), ρ Hydrae (132.4)
π¹ Ursa Majoris, δ HYDRAE (129.6), Al Minhar al Shujā, Museida (129.9) BEEHIVE and M44 (130.4), Xestus (130.5), Ascellus Borealis (130.9) η Hydrae (131.0), Ascellus Australis (131.4), Koo She (131.6), ε HYDRAE (131.9)
July 28 29 30 31 (212)
ºJuly 24 25 26 (*127) 27 (208)
'July 1 2 (183) 3 (*104) 4
"June 17 18 19 (*90) 20 (181)
NAKSHATRA DATES:
NOVEMBER 24 25 (329) 26 (*250) 27
Rotanev, ι Delphini (312.3), τ Capricorni (312.6), κ Delphini (312.7), SVALOCIN, υ Capricorni, υ Pavonis (312.8) μ², μ¹ Oct. (313.2), Deneb Cygni (313.5), β Pavonis (313.6), δ Delphini (313.8) Al Sa’d al Bula'-21 / Dhanishta-24 / Girl-10 Baten Algiedi (315.8)
Yue (314.3), Gienah Cygni, η Cephei (314.5), γ Delphini (314.6), σ Pavonis (314.7), ALBALI (314.8)

Betelgeuze

January 27 (392) 28 29 (*314) 30
ºJanuary 23 24 25 (*310) 26
'December 31 'January 1 (366) 2 3 (*288)
"December 17 18 19 (*273) 20 (354)

And the Babylonias could have used their Southeastern Star in Nangaru (the Carpenter). From page 314 in Hamlet's Mill:

"... the proper attention will have to be paid to the Babylonian name of Cancer, namely Nangar(u), 'the Carpenter'. This is essential because in the twelfth tablet of the Gilgamesh Epic, preserved only in Sumerian language, Gilgamesh complains bitterly of having lost his 'pukku and mikku', instead of having left them 'in the house of the carpenter', where they would have been safe apparently.

'Pukku and mikku' ... are lost 'at the crying of a little girl' ... this sounds slightly improbable. It is laughter, if anything, that wrecks the old, and introduces a new age of the world. Maui lost his immortality because his companions laughed when he passed the 'house of death' of the Great-Night-Hina."

At the time of Bharani the solstices coincided with Ga3-10 where we can see a sign of Janus:

Below this doublefaced Janus is a string with 20 beads and this side of the coin should belong to the Moon. The front side of the coin has half a Ship (Argo Navis). What looks like a broad henua field stands above. This half of the ship belongs to the Sun. On the Moon side there is instead a water pitcher resting at top center. Heads and tail of the ship.

Furthermore, at Ga3-14 we could count 314 - 137 = 177 (= 6 * 29½). This was St John's Day with Christmans day close to the Full Moon. In the preceding glyph is vaha mea:

Ga3-10 Ga3-11 Ga3-12 Ga3-13 (72) Ga3-14 Ga3-15 Ga3-16
(52 * 9 = 468) (150 + 314 = 464) MAY 31 (151) JUNE 1 2 (*73) 3 4
no star listed (133) ζ Hydrae (134.1), ρ Cancri (134.2), ζ Oct. (134.3), ο Cancri (134.6) Acubens, Talitha Borealis (135.0), σ Cancri (135.2), ρ Ursa Majoris (135.6) ν Cancri (136.0), Talitha Australis (136.1), ω Hydrae (136.8) 9h (137.0) no star listed (138) π Cancri (139.2), Miaplacidus (139.3), Tureis (139.8)
σ¹ Ursa Majoris (137.0), κ Cancri (137.3), τ Cancri (137.4), Alsuhail (137.5), σ² Ursa Majoris (137.6), τ Ursa Majoris (137.7), ξ Cancri (137.8)
August 1 2 3 4 (216) 5 6 7
ºJuly 28 29 30 31 ºAugust 1 2 (214) 3 (*135)
'July 5 6 (*107) 7 8 9 (190) 10 11
SOLSTICE "June 22 23 ST JOHN'S EVE 25 (*96) 26 (177) 27
NAKSHATRA DATES:
NOVEMBER 28 29 30 DECEMBER 1 2 (336 = 14 * 24) 3 (*257) 4
μ Aquarii (316.0) ε Equulei (317.8) no star listed (318) 21h (319.6) Dramasa, χ Capricorni (320.0), ν Aquarii (320.3), γ Equulei (320.6), ο Pavonis (320.8) α Oct. (321.5), δ Equulei (321.7), φ Capricorni (321.8) Kitalpha (322.0), Alderamin (322.9)
Armus (319.0), Dorsum (319.3), Tsoo (319.7)
January 31 February 1 2 3 4 (400) 5 (36) 6
ºJanuary 27 28 (393) 29 (*314) 30 31 ºFebruary 1 2
'January 4 5 (*290) 6 7 (372) 8 9 10
SOLSTICE "December 22 23 (*277) CHRISTMAS EVE 25 26 (360) 27