Euzenius comma
The euzenius comma is a 7-limit unnoticeable comma with a ratio of 78125000/78121827, a monzo of [3 -13 10 -2⟩, and a size of 0.070314 cents. It is the difference between two 6250/5103 intervals and the perfect fifth. It is tempered out in temperaments such as ennealimmal and fortune.
Temperament
Tempering this comma out gives euzenius temperament.
Euzenius (3566 & 3125 & 171)
Subgroup: 2.3.5.7
Comma list: 78125000/78121827
Mapping: [⟨1 1 0 -5], ⟨0 2 0 -13], ⟨0 0 1 5]]
POTE generators: ~6250/5103 = 350.9788, ~5 = 2786.3104
Vals: 171, 441, 612, 2954, 3125, 3566, 3737, 6250, 6520, 6691
Badness: 0.000205
Temperament finder: http://x31eq.com/cgi-bin/uv.cgi?uvs=%5B3%2C-13%2C10%2C-2%3E&page=2&limit=7
Ennealimmal
Subgroup: 2.3.5.7
Comma list: 2401/2400, 4375/4374
Mapping: [⟨9 1 1 12], ⟨0 2 3 2]]
Wedgie: ⟨⟨18 27 18 1 -22 -34]]
POTE generator: ~5/3 = 884.3129
Optimal GPV sequence: 27, 45, 72, 99, 171, 441, 612
Badness: 0.003610
Fortune
Subgroup: 2.3.5.7
Comma list: 78125000/78121827, [-52 17 12 -1⟩
Mapping: [⟨1 -1 11 63], ⟨0 14 -47 -326]]
POTE generator: ~8388608/7381125 = 221.568031
Optimal GPV sequence: 612, 1901, 2513, 3125, 6862, 9987
Badness: 0.023704