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The star Heka, though, was rising heliacally much earlier than at the beginning of the henua calendar, viz. - as I have preliminary located it (cfr Ka2) - at the last glyph in line a1:

36
*Ka1-20 (15) *Ka1-21 *Ka1-22 *Ka1-23 *Ka1-24 (19)
  λ Leporis (79.6) Bellatrix, Saif al Jabbar (80.7), Elnath (80.9) Nihal (81.7), Mintaka (82.4)  ε Columbae (82.6), Arneb (83.0), Heka (83.2) 38.9
Ka3-15 Ka3-16 Ka3-17 Ka3-18 Ka3-19 Ka3-20 Ka3-21 (62)
Heap of Fuel (122.1) Tegmine (123.3) Al Tarf (124.3) Bright Fire (125.4) Avior (126.4)  ο Ursa Majoris (127.4) θ Cancri (128.2)
'8h (121.7) 'July 22 '23 '24 '25 '26 '27 (208)
Heka 13 Alhena 1 2 3 4 5 6 (72)

We should try to move the stars 2 positions earlier in order to 'synchronize' them with the glyph numbers:

*Ka1-20 *Ka1-21 *Ka1-22 (17)
Bellatrix, Saif al Jabbar (80.7), Elnath (80.9) Nihal (81.7), Mintaka (82.4)  ε Columbae (82.6), Arneb (83.0), Heka (83.2)
'June 10 '11 '12 (163)
Pleione 11 12 13
36
*Ka1-23 *Ka1-24 (19)
Hatysa (83.5), Alnilam (83.7), Heavenly Gate (84.0) Alnitak, Phakt (Phaet), (84.7) 37.4
'June 13 '14 (165) 36
Albatain 1 (28) 2
Ka3-15 Ka3-16 Ka3-17 Ka3-18 Ka3-19 Ka3-20 Ka3-21 (62)
Heap of Fuel (122.1) Tegmine (123.3) Al Tarf (124.3) Bright Fire (125.4) Avior (126.4)  ο Ursa Majoris (127.4) θ Cancri (128.2)
'8h (121.7) 'July 22 '23 '24 '25 '26 '27 (208)
Heka 13 Alhena 1 2 3 4 5 6 (72)

The new arrangement means we can add 66 to the glyph numbers in order to reach the number of the right ascension day, e.g. 17 + 63 = 83The Heavenly Gate etc will now be integrated in the K text, and Albatain 1 should be the first day of a new 'year':

Ga1-20 (21) Ga1-21
Hatysa (83.5), Alnilam (83.7), Heavenly Gate (84.0) Alnitak, Phakt (Phaet), (84.7)
'June 13 '14 (165)
Albatain 1 (28) 2

The design in Ga1-21 is the same as that at the back side of the complicated *Ka1-21 glyph. It could refer to the old year.

If my new arrangement is the correct one, then we ought to also review the distance past the peculiar Ka2-6. Nothing has changed here, but the gap between Heka and γ Leporis has vanished:

Ka2-1 (20) Ka2-2 Ka2-3 (22) Ka2-4
γ Leporis (85.9) Saiph (86.5), ζ Leporis (86.6) Wezn (87.6), δ Leporis (87.7), Betelgeuze (88.3) η Leporis (89.0), Praja-pāti, Menkalinan, Mahashim, and γ Columbae (89.3)
'June 15 (166) '16 '17 '18
Albatain 3 (30) 4 5 6
Ka2-5 Ka2-6 (25) Ka2-7 Ka2-8 Ka2-9 (28)
η Columbae (89.7), μ Orionis (90.3) χ˛ Orionis (90.5), ν Orionis (91.4)   ξ Orionis (92.5), Tejat Prior (93.4)  κ Aurigae (93.6)
'June 19 '6h (91.3) '21 (172) 'June 22 '23
Albatain 7 8 9 (36) 10 11

With the new arrangement our rule to add 66 can now be applied also to the glyphs in line Ka1. In G the Heka glyph is of the marama type, which agrees with the glyph at Heka in K:

Ga1-15 Ga1-16 (*80) Ga1-17 Ga1-18 Ga1-19 (20)
  λ Leporis (79.6) Bellatrix, Saif al Jabbar (80.7), Elnath (80.9) Nihal (81.7), Mintaka (82.4)  ε Columbae (82.6), Arneb (83.0), Heka (83.2)
'June 8 '9 '10 '11 '12 (163)
Pleione 9 10 11 12 13
*Ka1-22 (17) marama Ga1-19 (20)
Marama

1. Month, light. The ancient names of the month were: Tua haro, Tehetu'upú, Tarahao, Vaitu nui, Vaitu poru, He Maro, He Anakena, Hora iti, Hora nui, Tagaroa uri, Ko Ruti, Ko Korķ. 2. Name of an ancient tribe. Maramara, ember. Vanaga.

Light, day, brightness, to glimmer; month; intelligent, sensible; no tera marama, monthly; marama roa, a long term; horau marama no iti, daybreak; hakamarama, school, to glimmer; hare hakamarama, school, classroom. P Mgv.: mārāma, the light, daylight; marāma, wise, learned, instructed, moon. Mq.: maáma, light, broad day, bright, instructed, learned; meama, moon, month. Ta.: marama, moon, month. In form conditionalis this word seems derivative from lama, in which the illuminating sense appears in its signification of a torch. The sense of light, and of specifically the moon, appears in all Polynesia; in Futuna and Uvea the word signifies the world. The tropical extension to the light of intelligence is not found in Nuclear Polynesia, therefore not in the Proto-Samoan, but is a later Tongafiti development. Maramarama, bright; manava maramarama, intelligent. P Pau.: maramarama, intelligent. Ta.: maramarama, light, brightness. Churchill.

The month sense is found in Tahiti, Marquesas, Rarotonga and Maori associated with the moon signification, and in Hawaii is specifically dissociated therefrom to characterize a solar month. Churchill 2.