Barthel has given us a summary over the months on Easter Island (according to the structure of a modern calendar). I have adapted the table somewhat. Red means the 6 months when Sun could be said to be 'present':
1st quarter	2nd quarter	3rd quarter	4th quarter
He Anakena (July)	Tagaroa uri (October)	Tua haro (January)	Vaitu nui (April)
Same as the previous month.	Cleaning up of the fields. Fishing is no longer taboo. Festival of thanksgiving (hakakio) and presents of fowl.	Fishing. Because of the strong sun very little planting is done.	Planting of sweet potatoes.
Hora iti (August)	Ko Ruti (November)	Tehetu'upú (February)	Vaitu potu (May)
Planting of plants growing above the ground (i.e., bananas, sugarcane, and all types of trees). Good time to fish for eel along the shore.	Cleaning of the banana plantations, but only in the morning since the sun becomes too hot later in the day. Problems with drought. Good month for fishing and the construction of houses (because of the long days).	Like the previous month. Some sweet potatoes are planted where there are a lot of stones (pu).	Beginning of the cold season. No more planting. Fishing is taboo, except for some fishing along the beach. Harvesting of paper mulberry trees (mahute). Making of tapa capes (nua).
Hora nui (September)	Ko Koró (December)	Tarahao (March)	He Maro (June)
Planting of plants growing below the ground (i.e., sweet potatoes, yams, and taro). A fine spring month.	Because of the increasing heat, work ceases in the fields. Time for fishing, recreation, and festivities. The new houses are occupied (reason for the festivities). Like the previous month, a good time for surfing (ngaru) on the beach of Hangaroa O Tai.	Sweet potatoes are planted in the morning; fishing is done in the afternoon.	Because of the cold weather, nothing grows (tupu meme), and there is hardly any work done in the fields. Hens grow an abundance of feathers, which are used for the festivities. The time of the great festivities begins, also for the father-in-law (te ngongoro mo te hungavai). There is much singing (riu).
The spelling of the names of the months are according to Vanaga

Maro

Maro: A sort of small banner or pennant of bird feathers tied to a stick. Maroa: 1. To stand up, to stand. 2. Fathom (measure). See kumi. Vanaga. Maro: 1. June. 2. Dish-cloth T P Mgv.: maro, a small girdle or breech clout. Ta.: maro, girdle. Maroa: 1. A fathom; maroa hahaga, to measure. Mq.: maó, a fathom. 2. Upright, stand up, get up, stop, halt. Mq.: maó, to get up, to stand up. Churchill.

Pau.: Maro, hard, rough, stubborn. Mgv.: maro, hard, obdurate, tough. Ta.: mârô, obstinate, headstrong. Sa.: mālō, strong. Ma.: maro, hard, stubborn. Churchill. Ta.: Maro, dry, desiccated. Mq.: mao, thirst, desiccated. Fu.: malo, dry. Ha.: malo, maloo, id. Churchill.

Mgv.: Maroro, the flying fish. (Ta.: marara, id.) Mq.: maoo, id. Sa.: malolo, id. Ma.: maroro, id. Churchill.

An adjustment with 2 months could be suggested by the obviously wrong date June 1. On Easter Island the proper time for planting taro was in the spring month of September and north of the equator the corresponding month ought to have been March (as in Mars, Kuukuu).

Sons of Hau Maka		Sons of Hua Tava		Sons of Te Rona / Te Runu
*Ira*	Sun	*Kuukuu*	Mars	Nga Tavake A Te Rona
*Raparenga*	Moon	*Ringiringi*	Mercury	Te Ohiro A Te Runu
		*Nonoma*	Jupiter
		*Uure*	Venus
		*Makoi*	Saturn

MAY 8	9	10 (130)	11	12	*13 (53)**
"MARCH 8	9 (68)	10	11	12	13

Ga2-18	Ga2-19	Ga2-20 (50)	Ga2-21	Ga2-22	Ga2-23
Ghost-23 (?) ρ Gemini (?) (112.1), Eskimo Nebula = NGC2392 Gemini (112.2) ~~ANTARES (α Scorpii)~~	*Al Dhirā'-5 /* Punarvasu-7 / Mash-mashu-Mahrū-10 (Western One of the Twins) CASTOR = α Gemini (113.4)	ANA-TAHUA-VAHINE-O-TOA-TE-MANAVA-7 (Pillar for elocution) υ Gemini (114.0), MARKAB PUPPIS = κ Puppis (114.7), ο Gemini (114.8), PROCYON = α Canis Minoris (114.9)	α Monocerotis (115.4), σ Gemini (115.7)	Mash-mashu-arkū-11 (Eastern One of the Twins) κ Gemini (116.1), POLLUX = β Gemini (116.2), π Gemini (116.9)	AZMIDISKE = ξ Puppis (117.4)
July 11	12 (193)	13	*14 (115)**	15	16
°July 7	8	9	*10 (111)**	11	12 (193)
'June 14	15	16	17 (168)	18	*19 (90)**
"May 31	*Maro 1 (72)**	"June 2	3	4	5 (156)

... From the natives of South Island [of New Zealand] White [John] heard a quaint myth which concerns the calendar and its bearing on the sweet potato crop. Whare-patari, who is credited with introducing the year of twelve months into New Zealand, had a staff with twelve notches on it. He went on a visit to some people called Rua-roa (Long pit) who were famous round about for their extensive knowledge. They inquired of Whare how many months the year had according to his reckoning. He showed them the staff with its twelve notches, one for each month. They replied: 'We are in error since we have but ten months. Are we wrong in lifting our crop of kumara (sweet potato) in the eighth month?' Whare-patari answered: 'You are wrong. Leave them until the tenth month. Know you not that there are two odd feathers in a bird's tail? Likewise there are two odd months in the year.' The grateful tribe of Rua-roa adopted Whare's advice and found the sweet potato crop greatly improved as the result ... The Maori further accounted for the twelve months by calling attention to the fact that there are twelve feathers in the tail of the huia bird and twelve in the choker or bunch of white feathers which adorns the neck of the parson bird ...

Perhaps the myth named this 10-month people Rua-roa (Long pit) because their 'solstice ditch' was much longer than for a people with a year measuring 12 months.

Rua

1. Two; second; other (precedes the noun); te rua paiga, the other side. 2. Hole, grave; holes in the rocks or between the rocks of the coastal lagoons; he keri i te rua, to dig a hole. 3. To vomit. Vanaga. 1. Two. P Mgv., Ta.: rua, id. Mq.: úa. 2. Nausea, seasickness, to vomit, disgust; hakarua, to vomit, to spew. PS Mgv.: aruai, ruai, to vomit. Mq.: úa, id. Ta.: ruai, id. Pau.: ruaki, id. Sa.: lua'i, to spit out of the mouth; lulua, to vomit. To.: lua to vomit. Fu.: lulua, luaki, id. Niuē: lua, id. Viti: lua, id.; loloa, seasick. 3. Cave, hollow, ditch, pit, hole, beaten path, grave; rua papaka, a ditch. P Pau.: rua, a hole. Mgv.: rua, a hole in the ground, ditch, trench. Mq.: úa, dish, hole, cavern. Ta.: rua, hole, opening, ditch. Churchill.

Ta.: ruahine, an old woman. Ma.: ruahine, id. Ta.: ruaroa, tropic of Capricorn. Mq.: uaoa, a constellation, the eleventh month. The sense in Tahiti is probably that of some constellation which may be used to determine the position. Ta.: ruau, an old man, an old woman. Ha.: luau, a parent. Churchill.

Roa

Long: haga roa, long bay, wide beach; ara roa râkei, wide, neat path. Roaroa, long, tall, far, distant: tagata roaroa, tall man; kaiga roaroa, distant land; roaroa tahaga, middle finger. Vanaga.

Long, large, extent; roaroa, to grow, height; mea roaroa, a long while; roaroa tahaga, middle finger; roaroa ke, infinite (time and space); roroa, far, distant, thin, to grow tall; tagata roroa, giant; roroa ke, immense; arero roroa, to rapport, to tell; vanaga roroa, to chatter, babbler; vare roroa, driveller; hakaroa, to lengthen, to defer; hakaroaroa, to lengthen, to develop; hakaroroa, to extend, prolong, defer, lengthen; roaga, distance, extent, size, length, distant, long. Churchill.

And these natives of South Island could have used a Rigel year as the basis for their calendar with no 'tail feathers'.

... In view of the almost universal prevalence of the Pleiades year throughout the Polynesian area it is surprising to find that in the South Island and certain parts of the North Island of New Zealand and in the neighboring Chatham Islands, the year began with the new Moon after the early morning rising, not of the Pleiades, but of the star Rigel in Orion ...

APRIL 1 (91)	2	3	*4 (14)**	33
*"JANUARY 30 (315)**	31	"FEBRUARY 1	2 (398)

Ga1-11	Ga1-12	Ga1-13	Ga1-14
HAEDUS II = η Aurigae (75.9)	5h (76.1) ε Leporis (76.0), CURSA = β Eridani (76.4), λ Eridani (76.7)	μ Aurigae, μ Leporis (77.6)	ĸ Leporis (78.0), RIGEL (Foot) = β Orionis (78.1), Flaming Star = IC405 (78.2), CAPELLA = α Aurigae (78.4), ο Columbae, τ Orionis (78.8) ~~THUBAN (α Draconis)~~
June 4	5	6 (157)	*7 (78)**
°May 31 (151)	°June 1	*2 (73)**	3
'May 8 (128)	9	*10 (50)**	11
"April 24	Vaitu Nui 25 (115)	*26 (36)**	27
NAKSHATRA DATES:
OCTOBER 1	*2 (195)**	3	4 (277)
"AUGUST 1	2 (214)	*3 (500)**	*4 (136)**
17h (258.7) ARRAKIS = μ Draconis (258.7)	Mula-19 SABIK = η Ophiuchi (259.7), η Scorpii (259.9)	NODUS I = ζ Draconis(260.0), π Herculis (260.7), RAS ALGETHI = α Herculis (260.8)	SARIN = δ Herculis (261.0), ο Ophiuchi (261.4) ~~ALRISHA (α Piscium)~~
December 4	5	6 (340)	7
°November 30	°December 1	*2 (256)**	3
*'November 7 (231)**	8	9	10 (314)
*"October 24 (217)**	25	26	27 (300)

MAY 8	9	10 (130)	11	12	*13 (53)**
"MARCH 8	9 (68)	10	11	12	13

Ga2-18	Ga2-19	Ga2-20 (50)	Ga2-21	Ga2-22	Ga2-23
Ghost-23 (?) ρ Gemini (?) (112.1), Eskimo Nebula = NGC2392 Gemini (112.2) ~~ANTARES (α Scorpii)~~	*Al Dhirā'-5 /* Punarvasu-7 / Mash-mashu-Mahrū-10 (Western One of the Twins) CASTOR = α Gemini (113.4)	ANA-TAHUA-VAHINE-O-TOA-TE-MANAVA-7 (Pillar for elocution) υ Gemini (114.0), MARKAB PUPPIS = κ Puppis (114.7), ο Gemini (114.8), PROCYON = α Canis Minoris (114.9)	α Monocerotis (115.4), σ Gemini (115.7)	Mash-mashu-arkū-11 (Eastern One of the Twins) κ Gemini (116.1), POLLUX = β Gemini (116.2), π Gemini (116.9)	AZMIDISKE = ξ Puppis (117.4)
July 11	12 (193)	*13 (114)**	14	15	16
°July 7	8	9	10	*11 (112)**	12 (193)
'June 14	15	16	17 (168)	18	*19 (90)**
"May 31	*Maro 1 (72)**	"June 2	3	4	5 (156)
NAKSHATRA DATES:
NOVEMBER 7	8	9	10 (314)	11	*12 (236)**
"SEPTEMBER 7	8	9	10	11 (254)	*12 (175)**
ν Aquilae (Ant.) (295.0), ALBIREO = β Cygni (295.5)	ALSAFI = σ Draconis (296.0), μ Aquilae (296.3), ι Aquilae (Ant.) (296.8), κ Aquilae (Ant.) (296.9)	ε Sagittae (297.1), σ Aquilae (Ant.) (297.4), SHAM = α Sagittae (297.8)	β Sagittae (298.0), χ Aquilae (298.3), ψ Aquilae (298.8)	υ Aquilae (299.1), TARAZED = γ Aquilae (299.3), δ Sagittae (299.6), π Aquilae (299.9)	*Sravana-23* TYL = ε Draconis (300.0), ζ Sagittae (300.1), ALTAIR = α Aquilae (300.3), ο Aquilae (300.5), BEZEK = η Aquilae (Ant.) (300.8)
January 10	11	12	13 (378)	14	*15 (300)**
°January 6	7 (372)	8	9	*10 (295)**	11
'December 14	15	16 (350)	17	18	*19 (273)**
"November 30	"December 1	2 (336)	3	4	*5 (259)**

We should notice that the day number for "FEBRUARY 2 - corresponding to Vaitu Nui 27 ("April 27) - was 398 (= 366 + 32). Here the Sun reached Rigel and at midnight Thuban culminated.

At the time of Bharani the Full Moon would have been where Alrisha culminated at midnight, around "AUGUST 4 (216 = 6 * 36). Or counted from 0h around day *136, in the day after the place for the head of Hercules (Ras Algethi).

398 is the glyph number for the outstanding Cb1-6, we should remember, and supposing this was the place where Thuban culminated at midnight, we can add dates etc accordingly:

APRIL 4 (*14 = *318 + 61)

"FEBRUARY 2 (398)

Cb1-6 (398)

ĸ Leporis (78.0), RIGEL (Foot) = β Orionis (78.1), Flaming Star = IC405 (78.2), CAPELLA = α Aurigae (78.4), ο Columbae, τ Orionis (78.8)

~~THUBAN (α Draconis)~~

June 7 (*78)

°June 3 (*74)

'May 11 (*23)

"April 27 (*37 = *14 + 23)

Ca4-2 (78 = 398 - 365) should then also be at heliacal Rigel, which indeed I have suggested:

June 6 (157)	7	8
December 6 (340)	7	8

Ca4-1 (77)	Ca4-2	Ca4-3
kua tupu te rakau	kua tupu - te kihikihi	te hau tea
μ Leporis (77.6)	ĸ Leporis (78.0), Rigel (78.1), Capella (78.4), ο Columbae (78.8) ~~Thuban~~	λ Leporis (79.6) ~~Arcturus~~
Nodus I (260.0), π Herculis (260.7), Ras Algethi (260.8)	Sarin (261.0), ο Ophiuchi (261.4) ~~Alrisha~~	ξ Ophiuchi (262.2), θ Ophiuchi, ν Serpentis, ζ, ι Apodis (262.4), ι Arae (262.8), ρ Herculis (262.9)