Passion family
The passion family tempers out 262144/253125 in the 5-limit, which equates five instances of 16/15 with 4/3.
Passion
Subgroup: 2.3.5
Comma list: 262144/253125
Mapping: [⟨1 2 2], ⟨0 -5 4]]
Mapping generators: ~2, ~16/15
POTE generator: ~16/15 = 98.670
Badness: 0.168550
Septimal passion
Subgroup: 2.3.5.7
Comma list: 64/63, 3125/3087
Mapping: [⟨1 2 2 2], ⟨0 -5 4 10]]
Mapping generators: 2, 16/15
Wedgie: ⟨⟨ 5 -4 -10 -18 -30 -12 ]]
POTE generator: ~16/15 = 98.153
Badness: 0.062327
11-limit
Subgroup: 2.3.5.7.11
Comma list: 64/63, 100/99, 1375/1372
Mapping: [⟨1 2 2 2 2], ⟨0 -5 4 10 18]]
POTE generator: ~16/15 = 98.019
Vals: Template:Val list
Badness: 0.040809
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 64/63, 100/99, 196/195, 275/273
Mapping: [⟨1 2 2 2 2 2], ⟨0 -5 4 10 18 21]]
POTE generator: ~16/15 = 97.910
Vals: Template:Val list
Badness: 0.030886
Passionate
Subgroup: 2.3.5.7
Comma list: 126/125, 131072/127575
Mapping: [⟨1 2 2 1], ⟨0 -5 4 22]]
Wedgie: ⟨⟨ 5 -4 -22 -18 -49 -40 ]]
POTE generator: ~16/15 = 98.817
Badness: 0.121293
11-limit
Subgroup: 2.3.5.7.11
Comma list: 126/125, 176/175, 8192/8019
Mapping: [⟨1 2 2 1 1], ⟨0 -5 4 22 30]]
POTE generator: ~16/15 = 98.721
Vals: Template:Val list
Badness: 0.068322
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 126/125, 176/175, 343/338, 364/363
Mapping: [⟨1 2 2 1 1 1], ⟨0 -5 4 22 30 33]]
POTE generator: ~16/15 = 98.627
Vals: Template:Val list
Badness: 0.052302
Pash
Subgroup: 2.3.5.7.11.13
Comma list: 126/125, 176/175, 196/195, 1352/1331
Mapping: [⟨1 2 2 1 1 0], ⟨0 -5 4 22 30 45]]
POTE generator: ~16/15 = 98.791
Vals: Template:Val list
Badness: 0.056386
Passive
Passive (1&11) tempers out the same 5-limit comma as the passion temperament (12&49), but with the marvel (225/224) rather than the archytas (64/63) tempered out.
Subgroup: 2.3.5.7
Comma list: 225/224, 256/245
Mapping: [⟨1 2 2 3], ⟨0 -5 4 -2]]
POTE generator: ~16/15 = 98.809
Badness: 0.075055