1 Hilo	7 Ole-ku-kahi	14 Akua	21 Ole-ku-kahi	26 Kane
2 Hoaka	8 Ole-ku-lua	15 Hoku	22 Ole-ku-lua	27 Lono
3 Ku-kahi	9 Ole-ku-kolu	16 Mahea-lani	23 Ole-pau	28 Mauli
4 Ku-lua	10 Ole-pau	17 Kulu	24 Kaloa-ku-kahi	29 Muku
5 Ku-kolu	11 Huna	18 Laau-ku-kahi	25 Kaloa-ku-lua
6 Ku-pau	12 Mohalu	19 Laau-ku-lua
	13 Hua	20 Laau-pau

Maybe they correspond to the 4 first kuhane stations, those which end with Te Kioe Uri:

Close to Rano Kau
Te Pu Mahore	Te Poko Uri	Te Manavai	Te Kioe Uri
26 Kane	27 Lono	28 Mauli	29 Muku

The colours agree, if we for the stations on the mainland of Easter Island follow the order of our week. But not if we colour the kuhane stations after their ordinal numbers:

Close to Rano Kau
1 Te Pu Mahore	2 Te Poko Uri	3 Te Manavai	4 Te Kioe Uri
26 Kane	27 Lono	28 Mauli	29 Muku

South of the equator Saturn 'inhabits' number 4 - which is quite necessary in order to create the new fire for number 5 - but north of the equator he evidently inhabits number 25 (in order to create the fire for Kane). In a way it makes sense, because when spring arrives on Easter Island it is the reverse on Hawaii, the beginning of the season of Sun-is-present on Easter Island must coincide with the end of Sun-is-present on Hawaii - he cannot be in both places at the same time.

This can also explain the absent night number 26 in the Hawaiian calendar - the night of Kane is number 27, not number 26 - number 26 is a day of Sun, but he is far away south of the equator. That is, the Hawaiian calendar should primarily be a calendar for the year, not for the month.

Furthermore, if we count the number of 'nights' from Kane and forward up to and including Ku-pau (which we have tentatively identified as the 'night' corresponding to Te Kioe Uri), they will be 10 or equal to the number of months for Sun:

1 Kane	5 Hilo		11 Ole-ku-kahi	18 Akua	25 Ole-ku-kahi
2 Lono	6 Hoaka		12 Ole-ku-lua	19 Hoku	26 Ole-ku-lua
3 Mauli	7 Ku-kahi		13 Ole-ku-kolu	20 Mahea-lani	27 Ole-pau
4 Muku	8 Ku-lua		14 Ole-pau	21 Kulu	28 Kaloa-ku-kahi
	9 Ku-kolu		15 Huna	22 Laau-ku-kahi	29 Kaloa-ku-lua
	10 Ku-pau		16 Mohalu	23 Laau-ku-lua
			17 Hua	24 Laau-pau

The first night when the new Moon is visible is number Hilo, conspiciously the only Sunday among them.

We can compare with our primary text example (only to see where it leads, not in order to suggest anything new):

end of the old one
Eb7-1	Eb7-2
1 Kane	2 Lono
1 Te Pu Mahore	2 Te Poko Uri