User:FloraC/Sequence of equal temperaments by error/Supplement

2.3.5.11 subgroup

Relative: 7, 65, 152, 342, 494, 1171, 11105, 12276, …

2.3.5.7.11.13.19 subgroup

Relative: 5eh, 7, 9, 15, 27e, 41, 53, 72, 130, 152f, 270, 2190, 6079, 8269, 8539, 115175, 148418, 176148, 184417, ….

2.3.5.7.11.13.17.23 subgroup

Relative: 5eg, 8di, 10, 22f, 26i, 29g, 31, 46, 72i, 140, 183, 311, 494, 764, 1578, 2460, 7033, 16808, 102557, ….

sqrt (2).sqrt (3).5.7.11.13 subgroup

Relative: 10e, 10, 34d, 58, 72, 270, 2684, 13112, … (up to 16808).

sqrt (2).sqrt (3).5.7.11.13.17 subgroup

Relative: 10e, 10, 34d, 58, 72, 742, 954, 2000, 2684, 10356, 10428, 16808, … (up to 16808).

sqrt (2).sqrt (3).5.7.11.13.17.19.23 subgroup

Relative: 14cf, 34dh, 58hi, 72i, 130, 270, 718, 742i, 814, 954h, 2000, 4038, 12770, 16808, ….

A mathematically defined tier list

2.3.5.11 subgroup

Tier-0: 7, 65, 152, 342, 494, 1171, 11105, 12276, ….

Tier-1: 5, 5e, 8, 9, 12e, 12, 15, 22, 31, 53, 72, 87, 118, 270, 677, 1665, 2342, 9934, ….

Tier-2: 19, 34, 183, 407, 559, 5520, 6691, ….

Tier-3: 14, 24, 335, 612, 829, 901, 1513, 2836, 3513, 13347, ….

Tier-4: 41, 46, 159, 224, 2684, 7862, 8763, ….

Tier-5: 10, 19e, 137, 217, 836, 1019, 2072, 3855, ….

sqrt (2).sqrt (3).5.7.11.13 subgroup

Tier-0: 10e, 10, 34d, 58, 72, 270, 2684, 13112, ….

Tier-1: 14cf, 130, 954, 10428, 16808, ….

Tier-2: 24, 38df, 68, 198, 742, 814, 2000, 2954, 14124, ….

Tier-3: 62, 140, 612, 1012, 1730, ….

Tier-4: 14c, 34, 96d, 1084, 3696, 3768, 10158, 10356, 12158, 13040, ….

Tier-5: 10f, 24d, 202, 212, 342f, 13854, ….

sqrt (2).sqrt (3).5.7.11.13.17 subgroup

Tier-0: 10e, 10, 34d, 58, 72, 742, 954, 2000, 2684, 10356, 10428, 16808, ….

Tier-1: 14cf, 24, 68, 130, 140, 270, 814, ….

Tier-2: 38df, 212g, 400, 2414, 3638, 12842, ….

Tier-3: 10eg, 14c, 34, 58g, 130g, 328, 414, 684, 11170, 12428, 13112, 13170, ….

Tier-4: 14cfgg, 62, 96d, 198g, 342f, 882, ….

Tier-5: ….