Immunity family
Temperaments of immunity family temper out the immunity comma, 1638400/1594323 = [16-13 2⟩ (sasayoyo).
Immunity
Subgroup: 2.3.5
Comma: 1638400/1594323
Mapping: [⟨1 0 -8], ⟨0 2 13]]
POTE generator: ~729/640 = 247.070
Optimal GPV sequence: 5, 29, 34
Badness: 0.184738
7-limit
Subgroup: 2.3.5.7
Comma list: 49/48, 2240/2187
Mapping: [⟨1 0 -8 2], ⟨0 2 13 1]]
Wedgie: ⟨⟨2 13 1 16 -4 -34]]
POTE generator: ~7/6 = 247.555
Optimal GPV sequence: 5, 29, 34, 63d
Badness: 0.077631
11-limit
Subgroup: 2.3.5.7.11
Comma list: 49/48, 55/54, 896/891
Mapping: [⟨1 0 -8 2 9], ⟨0 2 13 1 -7]]
POTE generator: ~7/6 = 247.926
Optimal GPV sequence: 5, 24c, 29, 63de, 92cddee
Badness: 0.052661
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 49/48, 55/54, 91/90, 896/891
Mapping: [⟨1 0 -8 2 9 -9], ⟨0 2 13 1 -7 16]]
POTE generator: ~7/6 = 247.969
Optimal GPV sequence: 5, 24cf, 29, 92cddee
Badness: 0.037078
Impunity
Subgroup: 2.3.5.7.11
Comma list: 49/48, 100/99, 1232/1215
Mapping: [⟨1 0 -8 2 -14], ⟨0 2 13 1 22]]
POTE generator: ~7/6 = 247.773
Optimal GPV sequence: 29, 63d, 92cdd
Badness: 0.055243
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 49/48, 91/90, 100/99, 352/351
Mapping: [⟨1 0 -8 2 -14 -9], ⟨0 2 13 1 22 16]]
POTE generator: ~7/6 = 247.783
Optimal GPV sequence: 29, 63d, 92cdd
Badness: 0.033196
Immunized
Subgroup: 2.3.5.7
Comma list: 64/63, 8748/8575
Mapping: [⟨1 0 -8 6], ⟨0 2 13 -4]]
Wedgie: ⟨⟨2 13 -4 16 -12 -46]]
POTE generator: ~81/70 = 246.479
Optimal GPV sequence: 5, 34d, 39d, 73dd
Badness: 0.082592
11-limit
Subgroup: 2.3.5.7.11
Comma list: 64/63, 99/98, 1944/1925
Mapping: [⟨1 0 -8 6 13], ⟨0 2 13 -4 -12]]
POTE generator: ~64/55 = 246.603
Optimal GPV sequence: 5, 34d, 39d, 73dd
Badness: 0.051515
Immune
Subgroup: 2.3.5.7
Comma list: 225/224, 781250/750141
Mapping: [⟨1 2 5 9], ⟨0 -2 -13 -30]]
Wedgie: ⟨⟨2 13 30 16 42 33]]
POTE generator: ~567/500 = 247.583
Optimal GPV sequence: 29, 34d, 63
Badness: 0.144835
11-limit
Subgroup: 2.3.5.7.11
Comma list: 100/99, 225/224, 1331/1323
Mapping: [⟨1 2 5 9 8], ⟨0 -2 -13 -30 -22]]
POTE generator: ~140/121 = 247.589
Optimal GPV sequence: 29, 34d, 63
Badness: 0.050990
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 100/99, 169/168, 225/224, 275/273
Mapping: [⟨1 2 5 9 8 7], ⟨0 -2 -13 -30 -22 -16]]
POTE generator: ~15/13 = 247.593
Optimal GPV sequence: 29, 34d, 63
Badness: 0.028521