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Arcturus was also - and maybe more relevant for us - the 6th item in the Tahitian star pillar list:

6

Ana-tahua-taata-metua-te-tupu-mavae, a pillar to stand by

Arcturus, α Bootis

7

Ana-tahua-vahine-o-toa-te-manava, pillar for elocution

Procyon, α Canis Minoris

The strange Tahitian words can hardly be literally translated as 'a pillar to stand by'. Ana-tahua-taata-metua-te-tupu-mavae should reasonably be compared with the following item Ana-tahua-vahine-o-toa-te-manava (an equally obscure expression).

Ana-tahua is the common denominator and given the position of Arcturus in line Cb1 a possible meaning could be 'pillar of ignition':

Tahu

To assist. T Ma.: tahutahu, to attend upon. Tahuga, pair, to share out, to put in order, to distribute. Hakatahuga, to put in pairs, to arrange. P (Metathetic from stem tufa). Mgv.: tahua, a collection of things properly classified and kept in order. Mq.: tauna, a couple. Churchill.

Pau.: tahua. 1. Field of battle. Ta.: tahua, id. 2. Floor. Ta.: tahua, id. Tahuga, wise, capable, doctor, artisan. Mgv.: tuhuga, wise, instructed, adroit. Mq.: tuhuna, wise, instructed, artisan. Sa.: tufuga, carpenter. Ma.: tohunga, adroit, wise, priest. Tahutahu, sorcerer. Ta.: tahu, sorcerer. Mgv.: tahu. 1. A tenant farmer. Ma.: tahu, opulent, possessing property. 2. To stir up a fire. Ta.: to build a fire, to light. Mq.: tahu, to light a fire. Sa.: tafu, id. Ma.: to set on fire, to kindle, to cook. Tahuna, a shallow, shoal, bank. Mq.: tahuna, beach gravel, shingle. Sa.: tafuna, a rocky place in the sea. Ma.: a shoal, a beach. Tohua, a place of public assembly. Mq.: tohua, public place, soil, land. Mq.: tahuahi, the servant in charge of the fire. Ha.: kahuahi, id. Churchill.

Ta.: tahuhu, ridgepole. Ma.: tahuhu, id. Mgv.: tohuhu, a ridgepole. Mq.: tohuhu, ridge, roofing. Churchill.

Tahua, sloping stone surface of ahu. Vanaga.

T. Tahua, board, plank. Tahu'a, T. Priest, artist. OR. Tahua mimi, bladder. Fischer.

Taata-metua-te-tupu-mavae in contrast to vahine-o-toa-te-manava seems to distinguish a male (tagata) Arcturus from a female (vahine) Procyon (α Canis Minoris). Tagata metua means a male parent.

Neither the Arabic manzil structure nor the Chinese system acknowledges Arcturus as a ruling star. But in the Hindu system it is connected with the 15th station Svāti:

14 Chitra α Virginis (SPICA) Bright jewel or pearl
15 Svāti α Bootis (ARCTURUS) Shoot of plant, coral

The opposite of a shoot of a plant should be an old tree, a 'parent' (metua). However, this is hardly what is depicted in Cb1-5:

April 21 (111) 22 23
Cb1-5 Cb1-6 Cb1-7 (399)
no star listed η Arietis (31.9) θ Arietis (33.3) Mira (33.7)
October 22 (295) 23 24
Al Ghafr / Svāti / Neck / Ch3 / T6 Syrma, λ Bootis (215.6), η Apodis (215.8),  ι Lupi, 18 Bootis (216.3), Khambalia (216.4), υ Virginis (216.5) ψ Centauri (216.6), ε Apodis (216.8)
Asellus Tertius, κ Virginis, 14 Bootis (214.8), 15 Bootis (215.2, ARCTURUS (215.4), Asellus Secundus (215.5)
April 24 25 26 (116) 27
Cb1-8 Cb1-9 Cb1-10 Cb1-11 (403)
ξ Arietis (35.0) no stars listed ν Arietis (38.5)
October 25 26 27 (300) 28
Asellus Primus (217.8), τ Lupi (218.1) φ Virginis (218.7), σ Lupi (219.1), ρ Bootis (219.5) Haris (219.7). σ Bootis (220.2), η Centauri (220.4) ρ Lupi (221.0), Toliman (221.2)
rutua - te pahu - rutua te maeva - atua rerorero - atua hiko ura - hiko o tea - ka higa te ao ko te henua ra ma te hoi atua

It looks more like a youngster. Maybe it means that when Arcturus (Taata-metua-te-tupu-mavae) was seen close to the Full Moon, then Sun should be like 'the shoot of a plant'.

There is a possibility that the outline of the 'youngster' in Cb1-5 could depict 'air' pushing in between Sky and Earth.

In rongorongo times Procyon (vahine-o-toa-te-manava) rose heliacally in July 14, a pair of days before a type of glyph which could express the opposite, viz. how 'rain' (ua) once again would connect Sky and Earth:

Altair (300.3)
January 15 (380)
2
Cb4-20 (*117) Ga2-26 (*120)
Azmidiske (117.4) Drus (119.9)
July 16 (197) July 19 (200)
ua

From the heliacal rising of Arcturus to the heliacal rising of Procyon there were 365¼ + 114.9 - 215.4 = 264¾ days. From the nakshatra position of Arcturus in the night of April 21 (111) to the heliacal rising of Procyon in July 14 (195) there were 12 weeks. The rest of the year covered 364 - 84 = 280 days.

July 13 14 15 (196) 16
Cb4-17 (480) Cb4-18 Cb4-19 Cb4-20
erua marama tagata noho i to mea kua vaha
no star listed Ch 6 / T7 σ Gemini (115.7), Pollux (116.2) Azmidiske (117.4)
Markab Puppis (114.7), PROCYON (114.9)
January 13 14 15 (380) 16
Sham (297.7) Tarazed (299.3) Sravana ι Sagittarii, Terebellum (301.2)
ALTAIR (300.3)

Above I have denoted Chaucer's star number 3 Alrami (Arcturus) with Ch3 and his star number 6 Algomisa (Procyon) with Ch6. Similarly T6 refers to number 6 on the Tahitian list and T7 to its number 7.

I guess the Hindu nakshatra station Sravana primarily refers to Altair because of its brightness (0.76):

22 Abhijit α Lyrae (VEGA), ε (Double Double), ζ -
23 Sravana α Aquilae (ALTAIR), β (Alshain), γ (Tarazed) Ear or Three Footprints
24 Dhanishta  α Delphini (SVALOCIN), β (Rotanev), γ, δ Drum or flute