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According to Manuscript E the explorers under the command of Ira arrived to Easter Island after somewhat more than a month at sea:

"On the twenty-fifth day of the first month ('Vaitu Nui'), Ira and Makoi set sail; on the first day of the month of June ('Maro'), the bow of Ira's canoe touched land again."

Vaitu nui is not January but said to be the first month after the March equinox:

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 Koró. 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.: màràma, the light, daylight; maràma, 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.

Should we count with 30 days in each month, then the duration of the sea voyage would be 30 - 25 + 30 + 1 = 36 days. Another, and possibly better, alternative is to count with only 29 days in each month, because the distance from koti at Hyadum I to koti at ι Serpentis (at the Serpents nose) is 237.4 (November 13) - 63.4 (May 23) = 174.0 = 6 * 29 nights:

Sheratan 4 5 6 7 (372) 8 172
May 20 (140) 21 22 23 24
Ca3-9 Ca3-10 Ca3-11 Ca3-12 Ca3-13 (64)
tapamea tagata kua iri ki te pa kua hua ki te kotiga kiore i te henua
ν Tauri (59.9) 4h (60.9) Beid (ο¹ Eridani) (62.2) Hyadum I (63.4) Hyadum II (64.2)
Simak 11 12 13 (183) Syrma 1 2 3
Nov. 13 14 15 16 17 (321) 18
Ca9-9 (237) Ca9-10 Ca9-11 Ca9-12 Ca9-13 Ca9-14
kotia kua rere ki te marama e moa haati kava e moa
ψ¹ Lupi (236.7), ζ Cor. Borealis (236.9), ι Serpentis (237.4), 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) ρ Scorpii (240.8), ξ Lupi, λ Cor. Borealis (241.1), Zheng (241.2), Vrischika (241.3), ε Cor. Borealis (241.5)  Dschubba (241.7), η Lupi (241.9), υ Herculis (242.3), ρ Cor. Borealis (242.4)
May 15 16 (136) 17 18 19 20
Alrescha 14 15 (365) Sheratan 1 2 3 4
Atiks, Rana (55.1), Celaeno, Electra, Taygeta (55.3) Maia, Asterope, Merope (55.6), Alcyone (56.1), Pleione, Atlas (56.3) no star listed Menkhib (57.6) Zaurak (58.9), λ Tauri (59.3) ν Tauri (59.9)

At the koti glyph Ca3-12 Metoro said ki te kotiga (to the place of breaking - probably of the old year), but at the koti glyph Ca9-9 he said kotia, not a word in my list. I guess ko-tia could refer to the 'cup' part of the year:

Tia

(Tiha G) .To sew. T Mgv.: tia, to prick, to pierce, to stick in. Churchill.

Ta.: tia, the lower belly. Mq.: tia-kopu, pubes. Ma.: tia, the lower abdomen. Tiahonu, to piece together. Mq.: tuhonu, to mend, to patch. Ma.: tuhonu, to join. Churchill.

Mq.: tiaha, drinking cup. Ha.: kiaha, a cup, a mug. Tikao, to dig out, to disembowel. Ma.: tikaro, to dig out of a hole. Churchill.

KIA. s. Haw., pillar or inner post of a house supporting the roof, any kind of pillar or post, a mast of a vessel; kia-aina, a supporter of the land, a governor of a province.

Marqu., tia, id. Sam., ti'a, the stick used in tanga-tia, a man's head (abusively); tia-pula, taro-tops cut off for planting.

Sunda, tihang. Mal., tiang, a pillar.

Greek, κιων, a pillar, support of the roof, the identical sense of the Polynesian usage of the word. Liddell and Scott give no etymology or connections of κιων. (Fornander)

Furthermore, Tahua (A) has 1334 = (20 + 26) * 29 glyphs:

59 520 752
Ab1-1 Ab7-26 Aa8-26
580 = 20 * 29 754 = 26 * 29

But in G, we have seen, glyph 237 (counted from Gb8-30) is one more than half 472 (= 8 * 59), and we need to add 63 in order to reach the RA day. 237 + 63 = 300. Thus also 29½ was used for the length of a month.

And we have also found evidence indicating 61 days was the length of a double-month.

 ... According to my measurements of the H text the number of glyphs on side a is equal to the number of side b - given that I do not count the empty space after Hb8-15.

648 + 648 = 1296.

I imagine 1296 could be the correct number because 6 * 216 = 1296. The synodical cycle of Jupiter is 399 days and 399 - 216 = 183, a number which was distilled from the P text:

 ... 599 + 560 = 1159 = 19 * 61. With the last line (b11) carrying 61 we could furthermore find 599 + 499 = 18 * 61 (= 6 * 183).

1296 - 1159 = 137, perhaps alluding to the first date of the Arabic manzil calendar, Sheratan 1 (Gregorian day 137, May 17). Possibly P describes midnight culminations in contrast to heliacal risings in H ... 

If we assume Manuscript E used the same 'map of time' as the creator of the C text, then we should be able to find in the C text the beginning of the sea voyage ca 35 days earlier than the arrival to Easter Island. From the arrival to the island there were then (according to Manuscript E) another ca 40 days to Te Pou (Sirius). Barthel has discussed this matter:

"It is difficult to estimate accurately the length of a month. According to the European calendar, a month has thirty or thirty-one days; the synodical month (that was used by the Polynesians) has alternatively twenty-nine and thirty days; and a traditional month, based on lunar nights, has thirty days (ME:50); Barthel 1958:242-247).

Also, the time intervals are not consistent throughout. Whenever explicit mention is made of the time spent in a place, the actual dates are omitted. Toward the end of the calendar of dates, discrepancies occur: the 'one month each' (etahi marama) as the duration of the stay at Pu Pakakina, or at the yam plantation, is incompatible with the established dates for the months 'Hora Nui' and 'Tangaroa Uri'.

The total amount of time taken up by the activities at Pu Pakakina (surfing, installing the ornaments and the stone figures, trip around the island, naming places) seems to have been five days. But five days is precisely the time span that recurs directly or indirectly in alternating positions on the calendar!"

Barthel's description: Ack. days:

Departure of the explorers from Hiva

Vaitu nui 25 0 0

Arrival at Hanga Te Pau

He Maro 1 35 35

Construction of house and yam plantation

He Maro 10 10 10

Makoi surveys the crater

He Maro 15 5 15

Departure from the house

He Anakena 5 20 35

Arrival at Te Pou

He Anakena 10 5 40

Rest at Hanga Takaure

- 7 40 + 8 = 48

Departure from Hanga Takaure

He Anakena 18 -

Rest at Hanga Hoonu

- 5 53

Arrrival at Rangi Meamea

He Anakena 23 -

Stay at Oromanga

- 27 53 + 28 (?) = 81

Departure for Papa O Pea

Hora iti 20 -

Stay at Papa O Pea

- 5 81 + 6 = 87

Departure for Ahu Akapu

Hora iti 26 -

Stay at Ahu Akapu

- 2 87 + 3 = 90

Departure for Pu Pakakina

Hora iti 29 -

Stay at Pu Pakakina

- etahi marama 59 (?)

Departure for yam plantation

Hora nui 1 -

Stay at yam plantation

- etahi marama

Explorers greet Hotu Matua

Tangaroa uri 15 -  

Departure of the explorers for Hiva

Tangaroa uri 20

5

I have above progressed with my number of days in the column at right using two different methods. First I have assumed 29 days for the months at sea. 29 - 25 (Vaitu nui) + 29 (Vaitu potu) + 1 (He Maro) = 35, a figure which agrees with that of Barthel.

But on land I have assumed the lengths for the corresponding Gregorian months. It should not be allowed to count 'apples' together with 'pears', thus not nights on the sea together with days on land. From He Maro 15 (June 15) to He Anakena 5  (July 5) there should be 186 - 166 = 20 days. From He Anakena 23 (July 23) to Hora iti 20 (August 20) there should be 232 - 204 = 28 days (not 27 as Barthel has stated).

There seems to be a quarter of a year with 360 days from the arrival to the island to the cave Pu Pakakina.

In C there are 156 days from the March equinox to the beginning of the Moon calendar:

An Nathra 9 (101) 10 11 12
August 25 (237) 26 27 28
Ca6-17 (157) Ca6-18 Ca6-19 Ca6-20
tagata oho rima - ki te marama koia kua oho ki te marama kua moe
μ Hydrae (157.1) no star listed Shir (158.9) φ Hydrae (160.3)

237 (August 25) - 90 = 147 (May 27):

Sheratan 9 10 (375) 11
May 25 26 (146) 27
Ca3-14 Ca3-15 Ca3-16
tapamea - tagata hoi hatu ki te ariki kiore
 no stars listed Heart (246.0)  no stars listed
Ain, θ¹ Tauri, θ² Tauri (65.7)

147 (May 27) - 35 = 112 (April 22):

Almuqaddam 12 13 (337) Al Muakhar 1 2 3 4
April 17 (107) 18 19 20 21 22
Ca2-1 (27) Ca2-2 Ca2-3 Ca2-4 Ca2-5 Ca2-6
Te heke erua tagata te henua tagata oho ki tona huaga kua oho
Polaris (26.6)   2h (30.4)    
Al Muakhar 5 6 7
April 23 24 (114) 25
Ca2-7 Ca2-8 (34) Ca2-9
manu rere e tara tua tagata oho

"It is exactly one-half year from the departure of the explorers from Hiva to their return to the homeland. Whatever method one uses to convert the six months into days (six synodical months = 177 days, six lunar months = 180, and six solar months = 182), there still appears to be an artificially constructed scheme." (Barthel)

35 + 90 + 59 (?) + 5 = 189. But I have counted Maro 1 twice, and possibly therefore 35 + 89 + 59 (?) + 5 = 188:

4 Dschuba 11 12 13 Azzubra 1 (132)
September 22 23 24 25 (268)
Ca7-17 Ca7-18 Ca7-19 Ca7-20 (188)
tagata - marama tagata kua moe puhi te ahi - rave i te ika
Pálida (184.6), Megrez (184.9), Gienah (185.1), ε Muscae (185.2) Zaniah (185.9), Chang Sha (186.3) Intrometida (187.4), Acrux (187.5) γ Com. Berenicis (188.0), σ Centauri (188.1), Algorab (188.5)
March 24 (83) 25 26 27
Saad Al Akhbia 1 2 3 (314) 4
no star listed  θ Andromedae (2.7) Ankaa, κ Phoenicis (5.0) no star listed
Azzubra 2 3 4 5 (136)
September 26 27 28 29 (272)
Ca7-21 Ca7-22 Ca7-23 Ca7-24 (192)
te kava - erua marama e marama noho i tona nohoga te hare pure e tagata noho ki roto
Gacrux (188.7), γ Muscae (189.0), Avis Satyra (189.3), Asterion (189.5) Kraz (189.7), α Muscae (190.2), τ Centauri (190.5) χ Virginis (190.7), ρ Virginis (191.4), Porrima, γ Centauri (191.5) β Muscae (192.5)
March 28 29 30 31 (90)
Saad Al Akhbia 5 6 7 8 (319)
no star listed Delta (8.4)  Schedir (8.6), μ Phoenicis (8.9),  ξ Phoenicis (9.0), Deneb Kaitos, η Phoenicis (9.4) no star listed