Shafts, 11M complements, and apotome complements

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volleo6144
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Shafts, 11M complements, and apotome complements

Post by volleo6144 »

My choice for a 1/4-apotome symbol is the 7-comma symbol :|): because the exact relationship :|): + :||): = :/||\: is highly suggestive of :|): + :|): = :/|\: although this is only approximate in standard Sagittal.
While this is from 2015, it still made me feel like cataloguing all of the schisminas that are neglected by treating these pairs as actual 11M complements.

Spartan: :|(: + :/|): = :/|\: + 72·11n, :|): + :|): = :/|\: + 72·11n
Athenian: :)|(: + :/ /|: = :/|\: - 7:552n, :~|(: + :(|~: = :/|\: + 5·17:121n
Promethean: :/|: + :|\: = :/|\:, :)|~: + :(|: = :/|\: - 7:112·19n, :)|: + :(|~: = :/|\:, :~|: + :)/ /|: = :/|\: - 13:935s, :)~|: + :~|\: = :/|\: + 23:112·13n, :|~: + :/|~: = :/|\: + 55:232n, :~~|: + :~|): = :/|\:, :)/|: + :)|): = :/|\: + 361:385s

7:112·19n = 301327047:301334528, 0.31 :@.:
5·17:121n = 61952:61965, 2.58 :@.::@2:
7:552n = 3024:3025, 4.07 :@4:
23:112·13n = 50301:50336, 8.57 :@.::@8:
72·11n = 130977:131072, 8.93 :@9:
55:232n = 1082565:1083392, 9.41 :@.::@9:
n/s boundary = half of 3s = 12.86 :l2::':
13:5·11·17s = 935:936, 13.17 :l1::':
192:5·7·11s = 788480:789507, 16.04 :@2::':
I'm in college (a CS major), but apparently there's still a decent amount of time to check this out. I wonder if the main page will ever have 59edo changed to green...
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