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Equipped with this new insight we should now investigate the position of Rei number 4 (the unlucky one). Below I have introduced a new symbol (ф) for number of nights beyond number 384 - in analogy with number of days beyond number 365:

●3-14 (73 + 365 = 438) 25 ●APRIL 9 (464) 26 ●MAY 6 (491) 42 ●JUNE 18 (534) 10 ●JUNE 29 (545 = 180 + 365)
●3-14 (384 + 54) ●APRIL 9 (384 + 80) ●MAY 6 (384 + 107) ●JUNE 18 (384 + 150) ●JUNE 29 (384 + 161)
●MARCH 14 (ф54) ●APRIL 9 (ф80) ●MAY 6 (ф107) ●JUNE 18 (ф150) ●JUNE 29 (ф161)
Ga1-4 Ga1-30 Ga2-27 (57) Ga4-17 (100) Ga5-1 (111)
MARCH 25 (84) APRIL 20 (110) MAY 17 (137) JUNE 29 (180) JULY 10 (191)
Rohini-4 / Pidnu-sha-Shame-5

ANA-MURI

 Furud (94.9) 8h (121.7) no star listed (164)

Altair

θ Crateris (175.0), υ Leonis (175.2), ω Virginis (175.3), ι Crateris (175.5)
ALDEBARAN (68.2), Theemin (68.5) χ Gemini (121.0), NAOS (121.3)
May 28 (148) June 23 (174) July 25 (201) September 1 (244) September 12 (255)
'May 1 (121) 'May 27 (147) 'June 23 (174) 'August 5 (217) 'August 16 (228)
108
73 ●SEPTEMBER 11 (619 = 254 + 365)
●SEPTEMBER 11 (384 + 235)
●SEPTEMBER 11 (ф235)
Ga7-16 (185)
EQUINOX (265)
Al Kalb-16 / Jyeshtha-18

ANA-MUA

ANTARES (249.1), Marfik, φ Ophiuchi (249.5),  ω Ophiuchi (249.8)
November 25 (329)
'October 29 (302)

The same distances seem to have been used for both cycles:

January 19 (384) 53 March 14 (73 = 384 + 54 - 365) 25 April 9 (99 = 384 + 80 - 365) 26
December 31 (365) February 23 (54 = 419 - 365) March 21 (80 = 445 - 365)
 
May 6 (126 = 384 + 107 - 365) 42 June 18 (169 = 384 + 150 - 365) 11 June 29 (180 = 384 + 161 - 365) 73
April 17 (107 = 472 - 365) May 30 (150 = 515 - 365) June 10 (161 = 526 - 365)
 
September 11 (254 = 384 + 235 - 365)          
June 3 (235 = 600 - 365)    

From heliacal Aldebaran in May 28 (148) to the 4th Rei in September 12 (255) there were 107 (= 472 - 365) days. Its position was 100 days before the December solstice (355) and close to the Full Moon should be the Chained hand of Andromeda (Manus Catenata, ι):

●JUNE 29 30 (*101) ●JULY 1 2 (183) 3 (ф165 = 115 + 50)
Ga5-1 Ga5-2 Ga5-3 Ga5-4 Ga5-5 (115)
JULY 10 (ф172) 11 (*112) 12 (193) 13 14
θ Crateris (175.0), υ Leonis (175.2), ω Virginis (175.3), ι Crateris (175.5) ο Hydrae (176.1) ζ Crateris, ξ Virginis  (177.0), λ Muscae (177.1), ν Virginis (177.2), μ Muscae (177.8) Al Sarfah-10 / Uttara Phalguni-12 / Zibbat A.-17 / Shēpu-arkū sha-A-18 Phekda, β Hydrae  (179.3), η Crateris (179.9)

Deneb Cygni

93 Leonis (178.0), DENEBOLA (178.3), ALARAPH (178.6)
September 12 13 (256) 14 15 16 (ф240)
'August 16 17 (229) 18 19 (*204) 20 (ф213)
NAKSHATRA DATES:
DECEMBER 29 30 31 (*285) JANUARY 1 2 (ф348)
JANUARY 9 10 (*295) 11 12 (ф358) 13 (378)
λ Piscium (358.0), Manus Catenata (358.1), Alrai, θ Phoenicis (358.4), κ Andromedae (358.7) ω Aquarii (359.2) ψ Andromedae (360.1), σ Phoenicis (360.4) φ Pegasi (361.7) Dzaneb (362.4)
π March 15 16 (75) 17 18 (ф58)
'February 15 16 17 (48) 18 19 (ф31)

Obviously we can count from night number 384 at all times.

I have chosen the Greek letter ф as an allusion to the number of Fibonacci, because it seems to describe how life evolves. The Fibonacci sequence is 1, 3, 6, 10, ... And 136 is the day number for May 16, when in rongorongo times Alcyone and Atlas rose with the Sun. The 4th term (10) could have been written as 1 when there was no symbol for zero - as if indicating an eternal return to the origin: 1, 3, 6,, 1, 3, 6,, ...

●FEBR 24 25 26 27 (*343) 28 (59) ●MARCH 1 2 (ф42)
(229 or 2 * 229) Gb8-18 Gb8-19 (460) Gb8-20 Gb8-21 Gb8-22 Gb8-23 (235)
MARCH 7 8 9 10 (*354) 11 (70) 12 13 (ф53)
ALGENIB PERSEI (50.0), ο Tauri (50.2), ξ Tauri (50.8)

Gienah

no star listed (51) no star listed (52) no star listed (53)

Acrux

no star listed (54) Al Thurayya-27 / Krittikā-3 / Hairy Head-18 / Temennu-4
Atiks, Rana (55.1), CELAENO, ELECTRA, TAYGETA (55.3), MAIA, ASTEROPE, MEROPE (55.6) ALCYONE (56.1), PLEIONE, ATLAS (56.3)
TAU-ONO
May 10  (ф111) 11 12 13 14 15 (500) 16 (136)
'April 13 (ф84) 14 15 16 (471) 17 (107) 18 19 (*29)
"March 30 (ф70) 31 "April 1 2 (92) 3 4 5 (*15)
NAKSHATRA DATES:
●AUGUST 26 27 28 29 (*161) 30 (242) 31  (ф224) ●SEPT 1
SEPTEMBER 6 7 8 9 (*172) 10 11 (ф235) 12 (255)
Alkalurops (233.1) Nusakan (234.0), κ¹ Apodis (234.3), ν Bootis (234.7) θ Cor. Borealis (235.3), γ Lupi (235.6), Gemma, Zuben Elakrab, Qin, ε Tr. Austr. (235.7), μ Cor. Borealis (235.8)

Sirrah

φ Bootis (236.2), ω Lupi (236.3), ψ¹ Lupi (236.7), ζ Cor. Borealis (236.9) ι Serpentis (237.4), ρ Oct., ψ² Lupi (237.5), γ Cor. Borealis (237.7), Unuk Elhaia (237.9) π Cor. Borealis, Cor Serpentis (238.1), Chow (238.6) κ Serpentis (239.3), δ Cor. Borealis, Tiānrǔ (239.5), χ Lupi, (239.6), ω Serpentis (239.7), Ba, χ Herculis (239.8). κ Cor. Borealis, ρ Serpentis (239.9)
November 9 10 (314) 11 12 (*236) 13 14 15
'October 13 14 (ф268) 15 (288) 16 17 (*210) 18 19
"September 29 30 (*193) "October 1 2 (275) 3 4 (ф258) 5