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Although neither Auriga nor Orion were mentioned in the list of the Babylonian ecliptic stations there was another Babylonian list which stretched the whole cycle around and did include them:

1. MUL.MUL zappu

The Star Cluster (Star of Stars) / The Bristle Pleiades

2. MULGU4.AN.NA alû / is lê

The Bull of Heaven Taurus / Hyades

3. MULSIPA.ZI.AN.NA šitaddaru / šidallu

The Loyal Shepherd of Heaven Orion

4. MULŠU.GI šibu

The Old One Perseus

5. MULZUBI / MULGÀM gamlu

The Scimitar / The Crook Auriga

6. MULMAŠ.TAB.BA (.GAL.GAL) māšu / tū'amū rabûtu

The (Great) Twins Gemini

7. MULAL.LUL alluttu

The Crayfish Cancer

8. MULUR.GU.LA / MULUR.MAH urgulû / nēšu

The Lion Leo

9. MULAB.SÎN absinnu / šer'u

The Seed-Furrow Virgo

10. MULZI.BA.AN.NA / MULGIŠ.ÉRIN zibānītu

The Scales Libra

11. MULGÎR.TAB zuqarqīpu

The Scorpion Scorpius

12. MULPA.BIL.SAG pabilsag

The God Pabilsag / The Overseer Sagittarius

13. MULSUHUR.MÁS(.KU6) suhurmāšu

The Goat-Fish Capricorn

14. MULGU.LA şinundu / ku-ur-ku / rammanu

The Great One Aquarius

15. MULKUN.MEš / MULZIB.ME zibbātu / zibbāt sinūnūtu

The Tail Pisces

16. MULŠÎM.MAH šinūnūtu

The Great Swallow SW Pisces and ε Pegasi

17. MULA.NU.NI.TUM / MULLU.LIM anunītu / lulīmu

The Goddess Anunitu / The Stag NE Pisces and Andromeda

18. MUL(LÛ.)HUŊ(.GÁ) agru

The Agrarian Worker Aries

I have redmarked 6 of these 18 stations because they are not in our own zodiac.

18 - 6 = 12 and 18 * 20 = 360 = 12 * 30. The list probably measured the months as 20 nights long.

... The Gilbert Islanders are Polynesians, having emigrated, according to their traditions, from Upolu, Samoa, which they look upon as te buto (Maori pito), the Navel of the World. They never counted the nights of the Moon beyond the twentieth, so far as Grimble was able to ascertain, and in the vagueness of their lunar calendar bore no resemblance to their Micronesian neighbors of the Carolines ...

One of the names for east, Makai-oa, was said to be the name of a far eastern land, not an island, which their navigators had visited in ancient times. Tradition called this great land 'the containing wall of the sea, beyond the eastern horizon, a continous land spreading over north, south, and middle, having a marvelous store of all sorts of food, high mountains and rivers'. It was also called Maia-wa (wa being 'space, distant'). This is a clear reference to ancient voyages to the American coast from which the Polynesians are thought to have introduced the sweet potato into the Pacific area. The similarity of Maia to Maya may be more than a coincidence ...

The Mayas also counted only to 20 in their tzolkin dates, in their sacred calendar stretching for 13 * 20 = 260 days. In my provisional glyph type dictionary I wrote:

The Maya Indians had several calendars, the one I have used here is their calendar over the year (haab). It was used in conjunction with the more famous tzolkin (for their sacred year), which was composed by the numbers from 1 to 13 prefixed to one of their 20 daynames, for instance as 13 Ahau - the last of the 13 numbers conjoined with the last of the 20 daynames (Ahau). This gave 13 * 20 = 260 possible dates according to the tzolkin.

In the picture below (ref.: Midonick) is explained how a more definite date is generated by combining tzolkin with haab:

Also the ordinal number in the month according to the haab calendar was prefixed (see B cogwheel). But the counting began with 0 instead of with 1 (cfr for instance 1 Imix in the A cogwheel, the tzolkin). The last (19th) haab month (Vayeb - or as spelled in the picture: Uayeb) had only 5 days, and its highest number therefore became 4. Otherwise the highest number in a month was 19. Months were defined in the haab calendar, not in the tzolkin.

Possibly the 20 Babylonian ecliptic stations corresponded to the Mayan tzolkin daynames:

BABYLONIAN ECLIPTIC CONSTELLATIONS:
0  1-iku Field measure  τ (Anunitum) Pisces 16.5 April 6 (96)
 
1 Mahrū-sha-rishu-ku Front of the Head of Ku β (Sheratan), γ (Mesarthim) Arietis 27.4 April 17 (107)
2 Arku-sha-rishu-ku Back of the Head of Ku α (Hamal) Arietis 30.5 April 20 (110)
3 Temennu Foundation Stone η (Alcyone) Tauri 56.1 May 16 (136)
4 Pidnu-sha-Shame Furrow of Heaven α (Aldebaran) Tauri 68.2 May 28 (148)
5 Shur-narkabti-sha-iltanu Star in the Bull towards the north β (El Nath) Tauri 80.9 June 9 (160)
6 Shur-narkabti-sha-shūtū Star in the Bull towards the south ζ (Heavenly Gate) Tauri 84.0 June 13 (164)
7 Maru-sha-pu-u-mash-mashu Front of the Mouth of the Twins η (Tejat Prior) Gemini 93.4 June 22 (173)
8 Arkū-sha-pu-u-mash-mashu Back of the Mouth of the Twins μ (Tejat Posterior) Gemini 95.4 June 24 (175)
9 Mash-mashu-sha-Risū Twins of the Shepherd (?) γ (Alhena) Gemini 103.8 July 2 (183)
10 Mash-mashu-Mahrū Western One of the Twins α (Castor) Gemini 113.4 July 12 (193)
 
11 Mash-mashu-arkū Eastern One of the Twins β (Pollux) Gemini 116.2 July 15 (196)
12 Arkū-sha-nangaru-sha-shūtu Southeast Star in the Crab δ (Ascellus Australis) Cancri 131.4 July 30 (211)
13 Rishu A. Head of the Lion ε (Ras Elaset Australis) Leonis 146.6 Aug 14 (226)
14 Sharru King α (Regulus) Leonis 152.7 Aug 20 (232)
15 Maru-sha-arkat-Sharru 4th Son behind the King ρ (Shir) Leonis 158.9 Aug 26 (238)
16 Zibbat A. Tail of the Lion β (Denebola) Leonis 178.3 Sept 15 (258)
17 Shēpu-arkū sha-A Hind Leg of the Lion β (Alaraph) Virginis 178.6 Sept 15 (258)
18 Shur-mahrū-shirū Front or West Shur (?) γ (Porrima) Virginis 191.5 Sept 28 (271)
 
19 Sa-Sha-Shirū Virgin's Girdle α (Spica) Virginis 202.7 Oct 9 (282)

I have prefixed the numbers as 0 - 19, suggesting the Virgin's Girdle could have stretched for only 5 days.

However, October 14 (287) - 260 = 27 (January 27) = 107 (April 17) - 80.

Could the precession have shifted Sheratan 80 days ahead counted from the beginning of time? If so, then it was the upper horn of Taurus (Elnath) which at that ancient time had been at 0h:

oMARCH 16 (75) 17 (76) 18 (77) 19 (78) 20 (79) EQUINOX
EQUINOX ●MARCH 22 23 24 25 26 (85)
APRIL 1 (*11) 2 (92) 3 4 5 6 (96)
Ga1-11 Ga1-12 Ga1-13 Ga1-14 Ga1-15 Ga1-16
HAEDUS II (75.9) 5h (76.1) μ AURIGAE, μ LEPORIS (77.6)  ĸ Leporis (78.0), RIGEL (78.1), Flaming Star (78.2), Capella (78.4), ο Columbae, τ Orionis (78.8)

Thuban

λ Aurigae (79.0), λ Leporis (79.6), ρ Aurigae (79.7)

Arcturus

Shur-narkabti-sha-iltanu-5
ε Leporis (76.0), CURSA (76.4), λ Eridani (76.7) σ Aurigae (80.4), Bellatrix, Saif al Jabbar (80.7), ELNATH (80.9)
June 4 5 6 (157 = 314 / 2) 7 8 9 (2 * 80)
'May 8 (128) 9 10 (*50) 11 12 (2 * 66) 13
"April 24 (*34) 25 26 (116 = 4 * 29) 27 28 (2 * 59) 29
0h Culminating Vega 182 Nakshatra dates Culminating Sirius
ELNATH (*64) (*247) (*327 = *247 + 80)
Rigel (*66) (*249) (*327 = *249 + 78)
Haedus II ●MAY 29 (*69) ●NOVEMBER 28 (*252) ●FEBRUARY 11
Hyadum II JUNE 9 (*80) DECEMBER 9 (*263) FEBRUARY 11
Bharani "July 2 (*103) "January 2 (*286) "February 11
Sheratan 'July 16 (*117) 'January 15 (*300) 'February 11
Sirrah August 12 (*144) February 11 (*327) February 11 (407)

At the time of rongorongo Elnath had moved 80 days ahead in the Sun year to day 160 (June 9) with only 12 days remaining to the solstice.

... Long ago in the very beginning of time there dwelt within a shell an infant god whose name was Ta'aroa. He was Ta'aroa the unique one, the ancestor of all gods, the creator of the universe whose natures were myriad, whose backbone was the ridgepole of the world, whose ribs were its supporters. The shell was called Rumia, Upset. Becoming aware at last of his own existence and oppressed by a yearning loneliness Ta'aroa broke open his shell and, looking out, beheld the black limitless expanse of empty space. Hopefully, he shouted, but no voice answered him. He was alone in the vast cosmos ...

Probably Tagaroa - with the ridgepole of the world as his backbone - was depicted inside the oval in Ga1-16: