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We can from all this deduce at least that Te Kioe Uri has to be later than Te Maro 10 (161) at 50 Hanga Te Pau:

HEAVENLY RAFT (*305.6) 59 SIRRAH (*0.5) 4 ANKAA (*5.0)
HEAP OF FUEL (*122) ALCHITA (*183) ACRUX (*188)
50 Hanga Te Pau 60 Apina Nui 1 Ko Apina Iti
13 ADHIL (*19) 13 MIRA (*33) 7 BHARANI (*41) 20 BEID (*62)
SPICA (*19 + *183) ARCTURUS (*33 + *182) ZUBEN ELG (*41 + *183) LESATH (*62 + *182)
15 RIGEL (*78)
Ο OPHIUCHI (*261)
13 Ko Te Hereke
MAY 14 15 (365 + 135 = 500) 16 (136) 17 18 (*58 = 2 * 29) 19
Ga2-24 Ga2-25 Ga2-26 (8 * 7) Ga2-27 → π 50 Hanga Te Pau Ga2-29 (59)
CLOSE TO THE SUN:

φ Gemini (118.4)

*77.0 = *118.4 - *41.4
DRUS (Hard) = χ Carinae (119.9) ω Cancri (120.2)

8h (121.7)

χ Gemini (121.0), NAOS = ζ Puppis (121.3)
ρ Puppis (122.0), HEAP OF FUEL = μ Cancri (122.1), ζ Monocerotis (122.3),  ψ Cancri (122.6), REGOR (Roger backwards) = γ Velorum (122.7) TEGMINE = ζ Cancri (123.3)
July 17 18 19 (200) 20 (*121) 21 22 / 7
°July 13 14 15 (196) 16 17 (*118 = 4 * 29˝) 18
'June 20 SOLSTICE 22 (173) 23 ST JOHN'S DAY 25 (*96)
"June 6 7 8 9 (*80) Te Maro 10 (161) 11

he ea.a Ira.he iri he oho ki runga anake. i te angahuru o te raa o te maro i iri ai - Ira got up. They all climbed to the top of the hill. They climbed up on the tenth day of the month of June ('Maro’). [E:18]

DAY 118 119 120 121 122 123
CLOSE TO THE FULL MOON:
NOV 13 14 15 16 (*240) 17 18 (322)

ι Sagittarii (301.2), TEREBELLUM = ω Sagittarii, ξ Aquilae (301.3), ALSHAIN (Falcon) = β Aquilae (301.6), φ Aquilae (301.8)

ε Pavonis, θ Sagittarii (302.3), γ Sagittae (302.5), μ Pavonis (302.7 τ Aquilae (303.8)

20h (304.4)

η Sagittae (304.2), δ Pavonis (304.4)

*263.0 = *304.4 - *41.4

SHANG WEI (Higher Guard) = κ Cephei (305.2), θ Sagittae (305.4), TSEEN FOO (Heavenly Raft)  = θ Aquilae (Ant.) (305.6), ξ Capricorni (305.8)

*264.0 = *305.4 - *41.4

TSO KE (Left Flag) = ρ Aquilae (306.3)

Jan 16 17 18 (383) 19 20 21
°Jan 12 13 (378) 14 15 (*300) 16 17
20 (354 = 12 * 29˝) SOLSTICE 22 'Dec 23 CHRISTMAS EVE 25 (*279)
"Dec 6 (340) 7 8 9 10 11 (*265)
DAY 301 302 303 = 120 + 183 304 305 306

... The evening of 23 June, St. John's Eve, is the eve of celebration before the Feast Day of Saint John the Baptist. The Gospel of Luke (Luke 1:36, 56-57) states that John was born about six months before Jesus; therefore, the feast of John the Baptist was fixed on 24 June, six months before Christmas Eve ...

It would be helpful if we knew how many right ascension days there were for each kuhane station. Only 3 - redmarked below - of the Makoi stations were coinciding with those of the kuhane.

E:38

1 Ko Apina Iti

2 Ko Hanga O Uo

3 Hanga Roa

4 Okahu

5 Ra Tahai

6 Ahu Akapu

7 Kihikihi Rau Mea

8 Renga A Tini

9 Vai A Mei

10 Rua A Ngau

11 Roro Hau

12 Vai Poko

13 Ko Te Hereke

E:39

14 Hatu Ngoio

15 Ara Koreu

16 Hanga Kuokuo

17 Opata Roa

18 Vai Tara Kai Uo

19 Hia Uka

20 Hanga Ohiro

21 Ko Roto Kahi

22 Ko Papa Kahi

23 Ko Puna A Tuki

24 Ko Ehu Ko Mahatua

25 Ko Maunga Teatea

26 Ko Te Hakarava

27 Ko Hanga Nui

28 Ko Tongariki

29 Ko Te Rano A Raraku

30 Ko Oparingi

31 Ko Motu Kumu Koka

E:40

31 Oparingi

32 Motu Humu Koka

33 Hanga Maihiku

34 Maunga Toatoa

35 Ko Te Pipi Horeko

36 Hanga Tetenga

37 Ahu Tutae

38 Tai E Hia

39 Akahanga

40 E Raro E Hua Reva

41 Rua Hana

42 E Tai E Puku

43 Vai Ngaere

E:41

44 Tai E Teho

45 Vai Ngaere

46 Hue E Renga

47 Vai E Hare

48 Hanga O Maru

49 Uta E Maunga Marengo

50 Hanga Te Pau

51 Rano Kau

52 Mataveri O Uta

53 Mataveri O Tai

54 Vai Rapa

56 (Sic!) Vai Rutu Manu

E:42

57 Hanga Piko

58 Ata Popohanga

59 Ata Ahiahi

60 Apina Nui

Let's count:

1 Ko Apina Iti
ANKAA (*5.0)
ACRUX (*188)
29 6 Ahu Akapu 108 25 Ko Maunga Teatea 18 29 Ko Te Rano A Raraku 54 39 Akahanga
(*35 = *5 + *30) (*35 + *109 = *144) (*144 + *19 = *163) (*163 + *55 = *218)
(*218 = *35 + *183) (*218 + *109 = *327) (*327 + *19 = *346) (*346 + *55 = *401)
6 + 108 + 6 + 18 + 6 + 54 + 6 = 204

This looks promising. But before going into how these figures might be applied to the structure of the kuhane stations we should first try to find out if there were significant stars at any (or all) of these places.