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I have decided the proper way to present this part of the text should be as follows below, with both the heliacal and the nakshatra views and with time counted according to the Hyades Gate, to the time of rongorongo, and to the time of Julius Caesar.

By finding the Raven stars close to the Full Moon in the night the Easter Islanders would have known the Sun was at the Phoenix:

Gb7-1 (182) Gb7-2 Gb7-3 (413) Gb7-4
JANUARY 19 (384) 20 21 22
σ Andromedae (3.0), ι Ceti (3.3), ζ Tucanae (3.5), ρ Andromedae, π Tucanae (3.7) no star listed (4) Ankaa, κ Phoenicis (5.0)

Alphard

λ Phoenicis (6.3), β Tucanae (6.4)
March 24 25 (84) 26 (450) 27
'February 25 26 (422) 27 28 (59)
NAKSHATRA DATES:
JULY 21 7-22 23 (204) 24
Chang Sha (186.3) Intrometida (187.4), Acrux (187.5) γ Com. Berenicis (188.0), σ Centauri (188.1), Algorab (188.5), Gacrux (188.7) γ Muscae (189.0), Avis Satyra (189.3), Asterion (189.5), Kraz (189.7)
September 23 24 25 (268) 26
'August 27 28 (240) 29 (*108) 30
CORVUS:
13 Hasta α, β, γ, δ, ε Corvi Hand or fist 185 = 178 + 7
the hand Gienah Sept 22 (265)

North of the equator the Sun at the Phoenix meant a new year was dawning, and the precession had pushed this date further and further ahead in the Sun calendar.

South of the equator, on the other hand, it was the conjunction between Raven and Sun which appeared to cause dawn. In order to avoid confusion it was therefore better to say that the southern spring arrived when the Phoenix was at the Full Moon and that summer was ending when the Full Moon reached the Raven. This way the ancient meanings of the star figures could be kept intact. The Sun ruled north of the equator and the Full Moon (Hotu) in the southern hemisphere.

North of the equator - where once upon a time the star figures had beed created - Raven was where the first half of the year was ending, where the Hand at the horizon in the west took care of the Sun. In the land of the Mayas darkness would fall until once again light would be rekindled in the sky.

Egyptian hand Phoenician kaph Greek kappa Κ (κ)

Kaph is thought to have been derived from a pictogram of a hand (in both modern Arabic and modern Hebrew, kaph means palm/grip) ...

... The manik, with the tzab, or serpent's rattles as prefix, runs across Madrid tz. 22 , the figures in the pictures all holding the rattle; it runs across the hunting scenes of Madrid tz. 61, 62, and finally appears in all four clauses of tz. 175, the so-called 'baptism' tzolkin. It seems impossible, with all this, to avoid assigning the value of grasping or receiving. But in the final confirmation, we have the direct evidence of the signs for East and West. For the East we have the glyph Ahau-Kin, the Lord Sun, the Lord of Day; for the West we have Manik-Kin, exactly corresponding to the term Chikin, the biting or eating of the Sun, seizing it in the mouth.

  

The pictures (from Gates) show east, north, west, and south; respectively (the lower two glyphs)  'Lord' (Ahau) and 'grasp' (Manik). Manik was the 7th day sign of the 20 and Ahau the last ...

At the time of the Hyades Gate the star ε Phoenicis rose heliacally 301 days after 0h and Ankaa (α) 6 days later:

... But, whether Bayer knew it or not, his title [Phoenix for the constellation] is an appropriate one, for with various early nations - at all events, in China, Egypt, India, and Persia - this bird has been 'an astronomical symbol of cyclic periods', some versions of the well-known fable making its life coincident with the Great Year of the ancients beginning at noon of the day when the sun entered among the stars of Aries; and, in Egypt, with the Sothic Period when the sun and Sirius rose together on the 20th of July ...

Gb6-25 Gb6-26 (408) Gb6-27 Gb6-28 (181)
JANUARY 15 (*300) 16 17 18 (383)
θ Oct. (364.9) Al Fargh al Thāni-25 Uttara Bhādrapadā-27 / Wall-14 χ Pegasi (2.1), θ Andromedae (2.7)
0h (365.25)
Caph, SIRRAH (0.5), ε Phoenicis, γł Oct. (0.8) ο Oct. (1.3), ALGENIB PEGASI (1.8)
March 20 (444) 0h 22 23 (82)
'February 21 (52) 22 Terminalia 24 (420)
NAKSHATRA DATES:
JULY 17 18 19 (200) 20 (*121)
12h (182.6) Alchita, Ma Wei (183.1), Minkar (183.7), ρ Centauri (183.9) Pálida (184.6), Megrez (184.9) Hasta-13 / Chariot-28
ο Virginis (182.1), η Crucis (182.5) GIENAH (185.1), ε Muscae (185.2), ζ Crucis (185.4), Zaniah (185.9)
September19 20 21 (264) Equinox
'August 23 24 (236) 25 (*157) 26

At the time of rongorongo the Sun was rising with Alchita (α Corvi at the beak of the Raven) in September 20 and this was 62 days later than the Egyptian key date JULY 20 (201).

On Easter Island they knew γ (Gienah) would be at the Sun 2 days later than Alchita - at their spring equinox. Because the 3 stars θ, σ, and ρ, at the right arm of Andromeda would then be close to the Full Moon:

Egyptian nfr Phoenician teth Greek theta Θ (θ)

... The form of the letter θ suggests a midline ('waist'), although the origin of θ is the Phoenician tēth which means 'wheel'. This in turn could have originated from a glyph named 'good' which in Egypt was nfr ...

... θ is the last star in the Ara constellation, and the ancient meaning of this letter was described as a wheel by the Phoenicians but for the Egyptian it meant 'good'. When the wheel of time has come full cycle around and the upside down fire-altar is in the past the times ahead should be good (or lucky Sa'ad) ...

According to Wilkinson nefer originally depicted the throat and heart of a sheep:

Egyptian tusk Phoenician shin Greek sigma Σ (σ, ς)

Wikipedia: Shin (also spelled Šin (šīn) or Sheen) literally means 'teeth, 'press', and 'sharp' ...

The symbol Σ is currently used as an expression for 'sum'. The Phoenician shin is oriented in another way, similar to how Cassiopeia is read in the night when in a low position - as Celestial W when below the pole, in contrast to the Celestial M when above it.

Greek sigma therefore resembles Cassiopeia in between, when she was in the west at the time when the Sun was rising in the east.

Sumerian SAG Phoenician resh Greek rho Ρ (ρ)

... Resh (Arabic: ۥ) is the twentieth letter of many Semitic alphabets, including Phoenician, Aramaic, Hebrew ... The word resh is usually assumed to have come from a pictogram of a head, ultimately reflecting Proto-Semitic *raۥ(i)š-. The word's East Semitic cognate, rēš-, was one possible phonetic reading of the Sumerian cuneiform sign for 'head' (SAG).