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How about the Arab view - is the Pegasus Square a flying mat, a raft on the sea, a funeral cot, or something else entirely?
 
The fraction 0.4 for all the 9 first manazil suggest they belong together in a group:
 
1 Al Sharatain Pair of Signs β Arietis (Sheratan), γ (Mesarthim) 27.4 April 17 (107) - 0
2 Al Dabarān Follower α Tauri (Aldebaran), θ¹, θ²´, γ (Hyadum I), δ (Hyadum II), ε (Ain) 63.4 May 23 (143) 36 36
3 Al Hak'ah White Spot λ Orionis (Heka), φ¹, φ² 84.4 June 13 (164) 21 57
4 Al Han'ah Brand γ Gemini (Alhena), μ (Tejat Posterior), ν, η (Tejat Prior), ξ (Alzirr) 93.4 June 22 (173) 9 66
5 Al Dhirā' Forearm α Gemini (Castor), β (Pollux) 113.4 July 12 (193) 20 86
6 Al Nathrah Gap ε Cancri (Beehive) 130.4 July 29 (210) 17 103
7 Al Tarf End ξ Cancri, λ Leonis (Alterf) 143.4 August 11 (223) 13 116
8 Al Jabhah Forehead η Leonis (Al Jabhah), α (Regulus), ζ (Adhafera), γ (Algieba) 152.4 August 20 (232) 9 125
9 Al Zubrah Mane δ Leonis (Zosma), θ (Coxa) 169.4 Sept 6 (249) 17 142

The Forehead of the Lion, e.g., would have been visible in the winter night, not in summer, in February and not in August:

August 17 18 (230) 19 20
Cb6-8 Cb6-9 Cb6-10 Cb6-11
kiore te hokohuki kua tu te rau hei te moko - te hokohuki
Ras Elaset Borealis (148.7) Tseen Ke (149.9), ν Leonis (150.1) π Leonis (150.6) Al Jabhah (10h,152.2)
υ² Hydrae (151.8), AL JABHAH (152.4)
February 17 18 19 20 (416)
η Piscis Austrini (333.4) Kae Uh (334.0), Al Kurhah (334.4) 22h (334.8) Woo (335.7), Baham, τ Piscis Austrini (335.8), ζ Cephei (336.2), λ Cephei (336.3)
Sadalmelik (334.6), ι Aquarii, ν Pegasi (334.7), ι Pegasi (335.0), Alnair (335.1), μ Piscis Austrini, υ Piscis Austrini (335.3)

Similarly, Al Sa'd al Ahbiyah at the star Sadachbia (π Sagittarii) ought to be searched for in the night sky of August and not in February, and Castor would have crossed the meridian at midnight in August 23:

August 21 22 23 24 (236)
Cb6-12 Cb6-13 (520) Cb6-14 Cb6-15
tu te rau hei ku hakahonui raua kiore
Maghā no star listed Adhafera, Tania Borealis, Simiram (154.7), Algieba, q Carinae (155.5) Tania Australis (156.0
REGULUS (152.7), λ Hydrae (153.2)
February 21 22 (418) 23 (Terminalia)  24 (Bissextum)
-/270 Lac. (336.7), λ Piscis Austrini (336.8), ε Cephei (337.2),  1/325 Lac. (337.3), Ancha (337.4) α Tucanae (337.9), ρ Aquarii (338.2), 2/365 Lac. (338.5) Al Sa'ad al Ahbiyah / Shatabisha δ Tucanae (340.1), ρ Cephei (340.2), ζ Aquarii (340.4), Alrediph (340.5)
SADACHBIA (338.6), β/172 Lac. (339.2), 4/1100 Lac. (339.4), π Aquarii (339.5)
Castor (419)

Another group of manazil could have begun in January 5 and the fractions of its leading stars are not regular:

19 Al Baldah City π Sagittarii (Al Baldah) 290.1 January 5 (370)   263
20 Al Sa’d al Dhabih Lucky One of the Slaughterers α Capricorni (Gredi), β (Dabih) 308.0 January 23 (388) 18 281
21 Al Sa’d al Bula' Good Fortune of the Swallower ε Aquarii (Albali), μ, ν 314.8 January 30 (395) 7 288
22 Al Sa'd al Su'ud Luckiest of the Lucky β Aquarii (Sadalsud), ξ (Bunda), c (46) Capricorni 325.9 February 10 (406) 11 299
23 Al Sa'd al Ahbiyah Lucky Star of Hidden Things α Aquarii (Sadalmelik), γ (Sadachbia), ζ, η, π 338.6 February 23 (419) 13 312

Gregorian day 236 (= 8 * 29½) is August 24, and here the old Romans sometimes added Bissextum. But nowadays the leap night is February 29:

August 25 (237) 26 27
Cb6-16 Cb6-17 Cb6-18 (525)
hokohuki te rau hei te moko e te hokohuki
μ Hydrae (157.1) no star listed Shir (158.9), p Carinae (159.3)
February 25 26 (422) 27
σ Aquarii, 6/650 Lac. (340.9), α/91 Lac. (341.1), Homan, β Piscis Austrini (341.2), ν Tucanae (341.5) υ Aquarii (341.9), η Aquarii (342.1) Situla (342.7), ε Piscis Austrini (343.5)
August 28 29 30 (242)
Cb6-19 Cb6-20 Cb6-21 (528)
kua tupu te mea ke
φ Hydrae (160.3) no star listed Vathorz Posterior (162.1)
February 28 29 (425) March 1
ο Pegasi (343.8), Matar (344.2) Leap night λ Pegasi (345.0), ξ Pegasi (345.1)

Luckily this complicated time is jumped over in the Arabic structure and we can safely begin anew with manzil 24:

24 Al Fargh al Mukdim Fore Spout α Pegasi (Markab), β (Scheat) 349¹ March 5 (429)   322
25 Al Fargh al Thāni Rear Spout γ Pegasi (Algenib), α Andromedae (Sirrah) March 21 (445) 16 338
26 Al Batn Al Hūt Belly of the Fish β Andromedae (Mirach) 16.0 April 6 (461) 16 354
27 Al Thurayya Many Little Ones Messier 45 (Pleiades) 56.3 May 16 (501) 40 394
28 Al Butain The Bellies δ Arietis (Botein), ε, ρ³        

¹ Accoding to my model Markab rose heliacally in RA day 349.5 and Scheat in day 349.3, therefore I have assigned RA day 349 to the Fore Spout.

² Algenib ought to have risen with the Sun in RA day 1.8 and Sirrah in day 0.5. I have chosen to assign RA day 0 to the Rear Spout because it seema to agree with the idea of Sirrah as 'the navel of the mare'.

But a stronger argument is to look at the Gregorian day numbers and the differences between them; 16 + 16 + 42 = 72 (= 360 / 5). 354 (= 12 * 29½) could be a point from where to count.