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.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.
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
7:552n = 3024:3025, 4.07
23:112·13n = 50301:50336, 8.57
72·11n = 130977:131072, 8.93
55:232n = 1082565:1083392, 9.41
n/s boundary = half of 3s = 12.86
13:5·11·17s = 935:936, 13.17
192:5·7·11s = 788480:789507, 16.04