User:Francium/Cantonismic clan
The cantonismic clan tempers out the Cantonisma, [-5 0 1 -3 0 3⟩ = 10985/10976.
140 & 37
Subgroup: 2.5.7.13
Comma list: 10985/10976, 31250/31213
Mapping: [⟨1 8 10 9], ⟨0 -15 -19 -14]]
POTE generator: ~13/10 = 454.2609
Optimal ET sequence: 8d, 21cdf, 29, 37, 103, 140, 177, 317, 1091, 1408, 1725
TE error: 0.064660 cents/octave
140 & 93
Subgroup: 2.5.7.13
Comma list: 10985/10976, 2100875/2097152
Mapping: [⟨1 2 3 4], ⟨015 -9 -14]]
POTE generator: ~65/64 = 25.7279
Optimal ET sequence: 46, 47, 93, 140, 373, 513, 653, 2472cdff, 3125ccdfff, 3778ccddffff
TE error: 0.075057 cents/octave
37 & 93
Subgroup: 2.5.7.13
Comma list: 3136/3125, 4394/4375
Mapping: [⟨1 2 2 3], Template:0 6 15 13]
POTE generator: 64.6086
Optimal ET sequence: 17cddff, 18, 19, 37, 93, 130
TE error: 0.275808 cents/octave
140 & 130
Subgroup: 2.5.7.13
Comma list: 10985/10976, 524596891/524288000
Mapping: [⟨10 23 28 37], Template:0 3 1 0]
POTE generator: 120.0000, 8.7177
Optimal ET sequence: 10, 110c, 120, 130, 140, 410, 550, 1240f, 1790f, 2340ff
TE error: 0.052299 cents/octave
140 & 56
Subgroup: 2.5.7.13
Comma list: 10985/10976, 13671875/13631488
Mapping: [⟨28 65 79 104], ⟨0 0 -1 -1]]
POTE generator: 42.8571, 17.2031
Optimal ET sequence: 28df, 28, 56, 84, 140, 2016ccdff, 2156ccdff, 2296ccdff, 2436ccdff, 2576ccdff, 2716ccdff, 2856ccdff, 2996ccdfff, 3136cccdfff, 3276cccdfff
TE error: 0.092824 cents/octave
177 & 93
Subgroup: 2.5.7.13
Comma list: 10985/10976, 134217728/133984375
Mapping: [⟨3 6 11 14], ⟨0 3 -8 -9]]
POTE generator: 400.0000, 128.8453
Optimal ET sequence: 9, 66df, 75, 84, 93, 177, 447 624
TE error: 0.073168 cents/octave
37 & 233
Subgroup: 2.5.7.13
Comma list: 10985/10976, 9796423/9765625
Mapping: [⟨1 8 12 11], ⟨0 -21 -34 -27]]
POTE generator: ~392/325 = 324.4492
Optimal ET sequence: 11cdf, 26cddf, 37, 159, 196, 233, 270, 503, 773, 1043f
TE error: 0.102318 cents/octave
140 & 214
Subgroup: 2.5.7.13
Comma list: 10985/10976, 31250/31213
Mapping: [⟨2 1 1 4], ⟨0 15 19 14]]
POTE generator: 600.0000, 145.7391
Optimal ET sequence: 8d, 21cdf, 29, 37, 103, 140, 177, 317, 1091, 1408, 1725
TE error: 0.064660 cents/octave
177 & 103
Subgroup: 2.5.7.13
Comma list: 10985/10976, 31250/31213
Mapping: [⟨1 -7 -9 -5], ⟨0 30 38 28]]
POTE generator: 372.8695
Optimal ET sequence: 8d, 21cdf, 29, 37, 103, 140, 177, 317, 1091, 1408, 1725
TE error: 0.064660 cents/octave
37 & 317
Subgroup: 2.5.7.13
Comma list: 10985/10976, 31250/31213
Mapping: [⟨1 8 10 9], ⟨0 -30 -38 -28]]
POTE generator: 227.1305
Optimal ET sequence: 8d, 21cdf, 29, 37, 103, 140, 177, 317, 1091, 1408, 1725
TE error: 0.064660 cents/octave