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4. We must not forget the possibility to read the glyphs as referring to midnight culminations (see at Culmination):

... Adding 228 to June 21 will bring us to glyph 256 (= 16 * 16), certainly an important glyph:

Ga1-27 (500) Ga1-28 (29) Ga1-29 (*566) Ga1-30 (**3)
June 21 (172) 22 23 24 (175)
χ² Orionis (499.5), ν Orionis (500.4)    ξ Orionis (93.5), Tejat Prior (94.4)  κ Aurigae (94.6)
224
Gb1-26 (256) Gb2-1 (**229)
256 + 144 = 400 February 5 (401 - 365 = 36)

The place in the sky dome which at summer solstice north of the equator is rising heliacally must obey the culmination rule of 228 days just as if it was a star. Its culmination will be at zenith at midnight in February 4, and maybe this accounts for the similarity between Ga1-27--28 on one hand and Gb1-26--Gb2-1 on the other ...

After reducing the dates with 1 day (for the effects of precession since the time of G), and relocating the stars correspondingly, we can identify approximate dates for the culminating stars:

221
Ga1-27 Ga1-28 Ga1-29 (30)
χ² Orionis (90.5), ν Orionis (91.4)   ξ Orionis (92.5), Tejat Prior (93.4)  
'6h (91.3) 'June 21 (172) '22 221
Swallowing the Eye:
Gb1-22 Gb1-23 Gb1-24 Gb1-25 Gb1-26 (256) Gb2-1
Albali (314.8) Baten Algiedi (315.8), μ Aquarii (316.0)      Armus (319.0), Dorsum (319.3)  χ Capricorni (320.0), ν Aquarii (320.3)
'Jan 30 '31 'Febr 1 '2 '3 (399) '21h (319.6)

From right ascension '6h (Ga1-27) to right ascension '21h (Gb2-1) there are 228.3 days. Each right ascension hour corresponds to 228.3 / (21 - 6) = 15.22 days.

...  Earth moves around Sun once in a year and the stars in the background will appear to move in the opposite direction. The observer down on Earth is not still but moves - both in the daily round and in the yearly round - and therefore the mechanical result must be increased by ca 46 days. 183 + 46 = 229 ...

The distance from heliacal risings to midnight culminations is not constant over the year (see at Cor Serpentis). However, if a star was rising heliacally in June then the distance from midnight culmination ought to have been around 229 days away:

  Culmination at midnight: Heliacal rising:  
Thuban 293 'October 20 'June 7 365 + 158 = 523 230
Arcturus 295 'October 22 'June 8 365 + 159 = 524 229
Yang Mun 302 'October 29 'June 14 365 + 165 = 530 228
Zuben Elgenubi 304 'October 31 'June 17 365 + 168 = 533 229
Winter Solstice 308 'November 4 'June 21 365 + 172 = 537 229
Gemma 316 'November 12 'June 28 365 + 179 = 544 228

The 2nd half of the Gregorian year - 'born heliacally' at the June solstice - cannot be 'swallowed' (culminate at midnight) 229 days later. Instead it should be the 1st half of the year - born heliacally in early November - which is 'swallowed' at the June solstice:

306 27 135
Ga6-24 (165) Ga6-25 Ga1-27 Ga1-28
π Lupi (227.9), Zuben Hakrabim (228.3) λ Lupi (228.9)     χ² Orionis (90.5), ν Orionis (91.4)    
15h (308) 'Nov 5 56 170 6h 'June 21 135
229 days 136 days

Rogo at left in Ga6-24 is drawn to be in the past and seems to have been born 136 days earlier, at the 'June solstice.

There are also 136 days at the beginning, before the 1st manzil, in the Arabic system:

136 days
Nawaa Manzil Begins on Number of days Stars
Al Thuraya Sheratan 17 May (137) 14 14 Sheratan
Pleione 31 May (151) 13 27 Pleione
Albatain 13 June (164) 13 40 Albatain in the Pleiades
Al Tuwaibe' Al Tuwaibe' 26 June (177) 13 53 Aldebaran

From the heliacal rising of a star it is possible to move in time either forward or backward in time (or in the G text):

... We have grasped an important insight, viz. the possibility to move forward 136 days from the heliacal rising of a star to its culmination at midnight:

culmination at midnight heliacal rising culmination at midnight
229 0 136
365

In a cycle with 365 days it is possible to move forward 136 days and reach the same date as when moving 229 days in the opposite direction ...

This pattern makes it possible for us to move out in both directions from the heliacal position of the back side (dorsum) of the Old Goat, from day 399:

226 135
Ga1-27 Ga1-28 Gb1-26 (256) Gb2-1
χ² Orionis (90.5), ν Orionis (91.4)      Armus (319.0), Dorsum (319.3)  χ Capricorni (320.0), ν Aquarii (320.3)  
6h (91.3) 'June 21 226 'Febr 3 (399) '21h (319.6) 135
  Heliacal rising:   Culmination at midnight:
Thuban 'June 7 158 135 293 'October 20
Arcturus 'June 8 159 136 295 'October 22
Yang Mun 'June 14 165 137 302 'October 29
Zuben Elgenubi 'June 17 168 136 304 'October 31
Winter Solstice 'June 21 172 136 308 'November 4
Gemma 'June 28 179 137 316 'November 12
Arneb 'January 24 24 139 163 'June 12
Alnilam 'January 25 25 140 165

'June 14

Phakt 'January 26 26 139 165 'June 14
Betelgeuze 'January 29 29 139 168 'June 17
Dorsum 'February 3 34 139 173 'June 22
Sirius 'February 11 42 139 181 'June 30
Castor 'February 23 54 139 193 'July 12
Procyon 'February 24 55 140 195 'July 14

Thus, in 'June the star Dorsum should have been culminating at midnight:

Ga1-27 Ga1-28 Ga1-29 (30)
χ² Orionis (90.5), ν Orionis (91.4)   ξ Orionis (92.5), Tejat Prior (93.4)
6h (91.3) 'June 21 (172) Dorsum

Tagata rima aueue in Ga1-29 could illustrate the 'swallowed old goat' and if so then the picture is presumably referring to the season on Easter Island because in 'June it indeed was winter solstice.

The sign of Jupiter was in ancient Babylonia located at the opposite side of the sky compared to the Goatfish:

The synodical cycle of Jupiter is 399 nights, equal to the day number when Dorsum was rising heliacally at the time of G.

By mapping the midnight culminations of stars against the G text we seem to be in harmony with the seasons on Easter Island. By mapping the heliacal risings against the G text we seem to be in harmony with the seasons north of the equator.