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Spring equinox occurred later than at the opposite side of the Gregorian leap day (ºFebruary 29) - and of course also later than the current heliacal position of Peregrini (up in the crown of the Royal Oak):

Ahu Akapu A Hau Maka Te Pito O Te Kainga A Hau Maka Pu Pakakina A Ira
6 days for loading the canoe of Hotu Matu'a:
Ga4-11 Ga4-12 Ga4-13 Ga4-14 Ga4-15 Ga4-16 (99)
Shir (158.9) p Carinae (159.3) φ Hydrae (160.3) no star listed (161) Vathorz Posterior (162.1), Peregrini, η Carinae (162.6) ν Hydrae (163.1)
Hora Iti 26 (238) 27 28 (*160) Hora Iti 29 30 (242) 31 (*163)
ºAugust 22 23 24 (236) ºAugust 25 (237) 26 27 (*159)
'July 30 (*131) 31 'August 1 (213) 'August 2 3 (*135)  4 (216)
"July 16 17 (*118) 18 (199) "July 19 (200) 20 21 (*122)
α/91 Lac. (341.1), Homan, β Piscis Austrini (341.2), ν Tucanae (341.5), υ Aquarii (341.9) η Aquarii (342.1), σ Gruis (342.4), Situla (342.7) ε Piscis Austrini (343.5), ο Pegasi, β Gruis (343.8) ρ Gruis (344.0), Matar (344.2), η Gruis (344.6) Leap night λ Pegasi (345.0), ξ Pegasi (345.1), ε Gruis (345.3), τ Aquarii (345.7), μ Pegasi (345.9)
Tehetu'upú 25 26 (422) 27 (58 = 2 * 29) Tehetu'upú 28 29 (60) Tarahao 1 (*345)
426 - 366 = 60
ºFebruary 21 22 (418) 23 (54 = 2 * 27) ºFebruary 24 25 (56) ºFebruary 27 (*341)
422 - 365 = 57
'January 29 (*314) 30 31 (396) 'February 1 2 (33)  3 (399)
"January 15 (*300) 16 17 "January 18 (383) 19 (384) 20
Day zero King out at Sea ®
Ga4-17 (100) Ga4-18 Ga4-19
no star listed (164)

Altair

Wings-27 ANA-TIPU
ALKES (165.6) Merak (166.2), DUBHE (166.7)
Hora Nui 1 (244) 2 (*165) 3
ºAugust 28 (240) 29 (*161) 30
'August 5 (*137) 6 (218) 7
"July 22 (22 / 7) 23 (204) 24 (*125)
ι Cephei (346.0), λ Aquarii, γ Piscis Austrini, σ Pegasi (346.5) Scheat Aquarii (347.0), ρ Pegasi (347.2), δ Piscis Austrini, τ Gruis (347.4), Fomalhaut (347.8) Fum al Samakah (348.3), ζ Gruis (348.5), ο Andromedae (348.9)
 Tarahao 2 3 (428 = 62 + 366) 4 (429 = *348 + 81)
ºFebruary 28 29 (424 = 59 + 365) ºMarch 1 (425 = *344 + 81)
'February 4 (400) 5 (401 = *320 + 81) 6 (*321 = *348 - 27)
"January 21 (386) 22 (387 = *306 + 81) 23 (*307 = *348 - 41)
¬ King out at Sea ®
15
Ga4-20 Ga4-21 (104) Ga5-10 Ga5-11 (121)
11h (167.4)  Al Sharas (168.6) Pálida (184.6), Megrez (184.9) Hasta-13 / Chariot-28
χ¹ Hydrae (167.1), χ² Hydrae (167.3) GIENAH (185.1), ε Muscae (185.2), ζ Crucis (185.4), Zaniah (185.9)
Hora Nui 4 (*167) 5 (248) 21 (*184) Equinox (265)
ºAugust 31 (*163) ºSeptember 1 (244) 17 (*180) 18 (261)
'August 8 (220) 9 (*141) 25 (237) 26 (*158)
"July 25 (206) 26 (*127) "August 11 (*143) 12 (224)
Al Fargh al Mukdim-24 / Purva Bhādrapadā-26 / House-13 23h (350.0) Uttara Bhādrapadā-27 / Wall-14 χ Pegasi (2.1), θ Andromedae (2.7)
Scheat Pegasi, π Piscis Austrini (349.3), κ Gruis (349.4), MARKAB PEGASI (349.5) υ, θ Gruis (350.0), π Cephei (350.6), ι Gruis (350.9) ALGENIB PEGASI (1.8)
Tarahao 5 (64) 6 (*350) 22 (81 = 31 + 28 + 22) 23 (448 = 366 + 82)
ºMarch 2 (61 = 64 - 3) 3 (*346) 19 (78 = 443 - 365) 20 (444 = 365 + 31 + 28 + 20)
'February 7 (403) 8 (*323 = *350 - 27) Bissextum (55 = *340 + 80 - 365) 'Feburary 25 (55 = 22 * 5 / 2)
"January 24 (389) 25 (*309 = *350 - 41) "February 10 (*326) 11 (42 = *327 + 80 - 365)

When Makoi made his personal cycle around the whole island in a single day he went withershins (which is clockwise south of the equator when looking north). He therefore may have reduced the calendar's Sun time with a day. He could have created a leap day, where the stars jumped over a day. I have guessed this 'star leap night' occurred somewhere close to Matar (η Pegasi), which in rongorongo times rose with the Sun in Tehetu'upú 28. This position would then be a 'translation' of the Gregorian custom of assigning the last day of February to the leap day.

But another argument is to point out to how Tehetu'upú 27 was the same day as ºFebruary 23 - reminding us of the last day of the old year (Terminalia) according to ancient traditions. This would therefore be the last day of Hau Maka - Te Pito O Te Kainga A Hau Maka.

Egyptian courtyard Phoenician heth Greek eta Η (η)

... The letter shape ultimately goes back to a hieroglyph for 'courtyard' ... possibly named hasir in the Middle Bronze Age alphabets, while the name goes rather back to hayt, the name reconstructed for a letter derived from a hieroglyph for 'thread'

Makoi could therefore have gone withershins in the night of Hora Iti 29, when the stars made a jump ahead in the calendar, when the Sun was at Peregrini up in the Royal Oak. RA day 344 for Matar can be counted as twice 172 (referring to midsummer in the Gregorian calendar) - i.e. as a day similar to the time of solstice.

This my interpretation is supported by the names Hau-Ma-ka respectively Ma-koi, where koi carries a negative meaning:

Ka

Ka. Particle of the affirmative imperative, of cardinal numerals, of independent ordinal numerals, and of emphatic exclamation, e.g. ka-maitaki! how nice! Vanaga.

. 1. To light a fire in order to cook in the earth oven (see umu): he-ká i te umu, he-ká i te kai. 2. Figuratively: to fire up the soul. To put oneself in a fury (with manava): ku-ká-á toona manava he has become furious. Vanaga.

1. Of T. 2. Imperative sign; ka oho, ka tere, ka ea, begone!; ka ko iha, a greeting T; ka mou, hush; ka oho, goodbye. 3. Infinitive sign; mea meitaki ka rava, a thing good to take; ka harai kia mea, to accompany. 4. A prefix which forms ordinals from cardinals. 5. The dawning of the day. 6. Different (? ke). Churchill.

Kai

1. Ina kai; verbal negation (but not used with the imperative); ina kai kai matou, we have not eaten. 2. To eat; meal. 3. Fruits or produces of the land, vegetables, edible plants. 4. Figuratively: he-kai ite rogorogo, to recite the inscriptions kohau rogorogo (as spiritual food). 5. Eclipse: ku-kai-á te raá, te mahina, the sun, the moon has been eaten (eclipsed). Vanaga.

1. Negative; kai rogo, to fast; kai oho, to forego; kai maa, to be ignorant, to doubt; vave kai kohe, inaccessible; ina kai, see ina 1. Ta.: ai, no. 2. To undergo, to suffer. 3. Sharp, cutting. T Mgv.: koi, koikoi, pointed, sharp, adapted for cutting; kokoi, prickly, stinging, irritating. Mq.: koi, sharp, cutting. Ta.: oi, sharp, keen. Since this is the only language which has kai in this sense the possibility of typographical error should not be overlooked. The form koi outside of Southeast Polynesia is found in Maori, Rarotonga and Hawaii. 4. To eat, to feed, to feast; food, meat, a meal, repast; kai nui, provision, intemperate, voracious; kai no iti, sober, temperate; hue ki te kai, to victual; kai taria te kai, abundance, to abound; hakapee no kai hoao, abundance, to abound. Kaia, eaten. P Pau.: kai, food, to eat. Mgv.: kai, food, nourishment, to eat. Mq.: kai, ai, food, to eat. Ta.: ai, to eat. 5. Hakakai, to take, to attack. Mgv.: kai, to receive. Mq.: ai, to catch some one, to seek to surprise. Ta.: ai, to receive, to get possession of, to become master of. Churchill.

Kaihue, a heap of food. Kaikino, selfish, avaricious, faithless, ingrate, miserly, rascal. Mq.: kaikino, selfish, stingy, avaricious. Kaipurua, issue, outlet, egress. Kaitagata, cannibal; paoa kaitagata, cannibal, savage.  Kaiu, nursling, suckling. Pau.: kaiu, a child at the breast. Mq.: kaiu, child at the breast, unweaned, suckling, young of animals. Ta.: aiu, nursling. Churchill.

Pau.: Fakakai, earring. Ta.: faaai, ear ornament. Mq.: hakakai, id. Ma.: whakakai, id. Kaikaia, a league, a plot. Mgv.: kaia, cruel, cannibal. Ta.: aiaa, fault, sin. Mq.: kaia, quarrelsome. Ma.: kaia, to steal. Kaito, brave, robust. Ta.: aito, brave. Ma.: kaitoa, a brave man. Kaitoa, well and good! Ta.: aitoa, good! Ma.: kaitoa, id. Kaitura, bravery, manhood. Ta.: turatura, honored, exalted. Churchill.

Mgv.: Kaiota, raw food. Ta.: aiota, raw, ill cooked. Ma.: kaiota, id. Churchill.

Ta.: Ai, a bet, a wager, a game. Mq.: kai, to throw lots, to lose a game. Sa.: 'ai, a count toward the score of a game. Ma.: kai, a puzzling toy. Aihamu, to eat leavings. Mq.: kaihamu, id. Churchill.

Mq.: Kaiheehee, to go from place to place to enjoy feasts. Sa.: 'aisee, to beg food at feasts. Kaihue, thief. Ha.: aihue, to steal. Kaika, a meal, feast. Sa.: 'aiga, meal. Ha.: aina, id. Kaioto, a sort of hemorrhage, piles. Sa.: 'ailoto, a cancerous ulcer. Kaitu, to perfume oneself during a tabu period when it was forbidden. Ha.: aiku, to break a tabu. Churchill.

AI, v. Haw., to eat; s. food, vegetable food, in distinction from ia, meat; ai-na, for ai-ana, eating, means of eating, fruits of the land; hence land, field, country. New Zeal., kai, to eat; kainga, food, meal, home, residence, country. Tong., kai, to eat. Sam., 'ai, to eat; ainga, family, kindred. Marqu., kaika, kainga, food, meal.

Tagal., cain, to eat.

Zend., gaya, life; gaetha, the world; gava, land, country. Vedic, gaya, house, family (A. Pictet). Sanskr., ghâsa, food; ghas, devour.

Greek, αία, γαια, γη, different forms occurring in Homer, land, country, cultivated land; γειος, indigenous; γειτων, a neighbour; ήια, provisions for a journey. Goth., gawi, gauja, country, region. Germ., gau. Lat., ganea, eating-house; ganeo, glutton. Lith., goyas; Ant. Slav. and Russ., gai, 'past-rage', nemus. Polish, gay, id.

Mr. A. Pictet, in his 'Les Origines Indo-Europ.', vol. II. p. 15, says that the Vedic and Zend gay 'n'ont surement aucun rapport avec le grec γαια.' This assertion evokes a doubt, inasmuch as, as late a in Homer's time, two other dialectical variations of this word existed in the Greek, viz. αία and δα or δη, in δη-μητηρ, contracted from some ancient form in δαια, as γη and γα, from γαια. As neither of these can be supposed to be derived from, or to be a phonetic corruption of, the other, it seems to me that they must have come down abreast from primeval times, thus indicating that the original root was differently pronounced by various sections of the still united Aryan stock; and I believe that this root, in its archaic forms, still survives in the Polynesian ai and kai, to eat.

The Sanskrit go, land, the earth, from which Benfey derives a hypthetical gavyd and a Greek γαfια - by elimination γαια - is probably itself a contraction from the Vedic and Zend gaya, as the Greek γη and γα, as the ancient Saxon and , pagus, regio, and the ancient Slav. gai, nemus, are contractions from derivations of that ancient root still found in Polynesia.

The above derivatives in sound and sense certainly refer themselves better to some ancient ai of kai, food, the fruits of the forest or the roots of the field, than to the Sanskrit go, bull, cow, cattle; for the Aryan family undoubtedly had one or more names for eating and for food before its various divisions applied themselves to the herding of cattle. The Sanskrit ghas, ghâsa, the Latin ganea, ganeo, point strongly to the underlying original sense of eating and food. According to Professor A. H. Sayce, in 'Introduction to the Science of Language', vol ii. p. 19, it is probable that the Latin edere, to eat, is a compound word = e-dere, like ab-dere, con-dere, cre-dere, and others, thus leaving e as the root. How far that e may have been a dialectical variant or a phonetic decay of an older form more nearly allied to the Polynesian ai, kai, I leave to abler philologists to determine. (Fornander)

However, the Sun King Hotu Matu'a should be governed not by the old Moon (Star) calendar but by the updated Sun calendar and his crucial day ought to have been Hora Nui 22 (equinox). 'Translating' this date we find September 22 and then 7-22 (or 22-7 alluding to π). 72 * 2 = 144 resembles *144 at Ga4-1:

 ® Oromanga
Ga3-23 Ga3-24 Ga4-1 Ga4-2 Ga4-3 Ga4-4 (87)
ψ Leonis (146.4), Ras Elaset Australis (146.6) Vathorz Prior (147.9) υ¹ Hydrae (148.4), Ras Elaset Borealis (148.7) Tseen Ke (149.9) ν Leonis (150.1), π Leonis (150.6) υ² Hydrae (151.8)
Hora Iti 14 15 16 17 (229) 18 (*150 = 87 + 63) 19
ºAug 10 (222) 11 12 (*144) 13 14 (*146) 15
'July 18 19 (200) 20 21 (*122) 22 23
"July 4 (185) 5 6 (*107) 7 (*108) 8 9
Enif, Erakis (329.2), 46 Capricorni, Jih (329.3), ι Piscis Austrini (329.4), λ Capricorni (329.6), ν Cephei (329.7), Deneb Algiedi (329.8) θ Piscis Austrini (330.1) Kuh (331.4), γ Gruis (331.5) no star listed (332) η Piscis Austrini (333.4) 22h (334.8)
Kae Uh (334.0), Al Kurhah (334.4), Sadalmelik, Al Dhanab (334.6), ι Aquarii, ν Pegasi (334.7)
February 13 (*329) 14 15 (46) 16 17 (413 = 14 * 29½) 18 (49)
ºFebruary 9 10 (*326) 11 (407) 12 (408) 13 (*329) 14 (45)
'January 17 18 (383) 19 (384)  20 (*305) 21 (386 = 2 * 193) 22
"January 3 4 5 6 7 (372) 8 (*293)

This amazing maze appears to work across different ages and parts of the glyph text and it is therefore not very clear what the individual glyphs are referring to. It is a global structure, where the parts are interdepentent.

However, it becomes simpler if we follow the Sun. His arrival to Easter Island should have coincides with spring equinox. The date Tagaroa Uri 15 (288) should therefore correspond to September 22 (265).

288 - 265 = 23 and 121 (viri in Ga5-11) + 23 = 144 (= 12 * 12).