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The outline of a circle can be said to measure 2 * 314 = 628 and 157 will then correspond to a quarter thereof:

We can in this picture count 3 full weeks and + 4 extra days = 25. Possibly the first 156 (= 12 * 13) glyphs are special and  'outside' the rest of the C text. 740 - 156 = 584, which number could represent the cycle of Venus:

 phase

observed periods

periods in the Mayan 'map'

difference

evening star

263

250

- 13

black

8

8

0

morning star

263

236

- 27

black

50

90

+ 40

sum

584

584

0

The first period in the Moon calendar has 8 glyphs and the calendar has 8 periods.

Side a on the Mamari tablet carries 392 glyphs. My idea to separate the first 156 of them from the rest (inpired by the illustration from Turkestan where only a quarter of Sun's face can be seen) means there will 236 (= 4 * 59) glyphs from Ca6-17 to the end of side a:

Side a

155 8 (100) An Nathra 9 (101) 235
24 (236) August 25 (237)
Ca6-16 (156) Ca6-17 (157)
156 (= 12 * 13) 236 (= 80 + 156)

392 = 80 + 12 * 26.

A day can be divided into daytime and nighttime. If the daytime 'belongs to' Sun and nighttime to Moon, then next step ought to be to divide also daytime (respectively nighttime) into halves. 12 * 13 = 6 * 26 and possibly a quarter of Sun's face could refer to half the time of his presence.

Sun would be 'present' during 12 * 26 = 24 * 13 = 312 days, and 'absent' (preparing himself for next round) during 364 - 312 = 52 = 4 * 13 days. 28 * 13 = 364.

312 + 236 = 548 and twice 548 = 1096 = 8 * 137. Half Sun's time he is absent (visiting his winter maid) and 1096 - 312 = 784 (= 3 * 392).

Side b carries 348 glyphs and 392 + 348 - 156 = 584. If the Mayan structure was used, then there is a possibility side b is beginning with the 50 + 40 = 90 days when Venus is imagined as invisible before she reappears in the evening:

Side b
90 days 250 days 8 days
not visible evening star not visible
348 (= 12 * 29)

348 + 156 = 504 = 72 weeks.

However, given the importance of Antares the creator of the C text might have changed 250 nights to 249:

Side b
91 days 249 days 8 days
not visible evening star not visible
348 (= 12 * 29)

My speculations suggest August 25 could correspond the first day of the 'morning face' of Venus. The day number of An Nathra 9 is 101, which could allude to June 30 (day 101 in the Gregorian calendar), when in rongorongo time Sirius rose heliacally.

A part of the path of Sun could be described from Ca1-1 up to and including Ca6-16, while the rest of the text could refer to the 584 nights long cycle of Venus.

Such an overall view does not preclude other, complementary or intertwined, structures, e.g.:

Almuqaddam 10 11 (700) 12 (336)
April 15 16 (471) 17 (107)
Ca1-25 Ca1-26 Ca2-1 (27)
kiore ki te huaga kua moe ki te tai. Te heke
Achernar (23.3)   Benetnash (208.5)
Polaris, Baten Kaitos (26.6), Metallah (26.9), Segin, Mesarthim (27.2), Sheratan (27.4)
109 Murzim 2 (81) 3 4
August 5 (217) 6 7
Ca5-32 (137) Ca5-33 Ca5-34
e vaha noho ragi erua ahi
9h (137.0)  σ² Ursa Majoris (137.6), τ Ursa Majoris (137.7), ξ Cancri (137.8) Miaplacidus (139.3)
  ω Hydrae (136.8), σ¹ Ursa Majoris (137.0), κ Cancri (137.3), Alsuhail (137.5)

156 - 26 = 130, and there are 20 glyphs from Ca5-32 (137) to Ca6-17 (157). Possibly the first 26 glyphs on side a constitute a Sign for Sun and the last 20 before 9h a Sign for Moon.

In the Turkestan picture the 'pyramid weeks' makes it possible to sum up to 13 * 7 + 25 = 116 (= 4 * 29) days. This number equals 740 - 4 * 156.