Schismatic family: Difference between revisions
No edit summary |
|||
| Line 462: | Line 462: | ||
= Squirrel = | = Squirrel = | ||
The squirrel temperament (29&36) has an 11/10 generator, three of which give the fourth (4/3), and thirteen of which give 7/4 with octave reduction. | |||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 498: | Line 500: | ||
POTE generator: ~11/10 = 166.054 | POTE generator: ~11/10 = 166.054 | ||
{{Val list | Vals: {{Val list| 29, 36, 65f, 94df, 159df }} | ||
Badness: 0.043750 | Badness: 0.043750 | ||
= Tertiaschis = | |||
The ''tertiaschis'' temperament (94&159, named by [[User:Xenllium|Xenllium]]) has an 11/10 generator and tempers out 1071785/1062882. | |||
Subgroup: 2.3.5.7 | |||
[[Comma list]]: 32805/32768, 1071875/1062882 | |||
[[Mapping]]: [{{val| 1 2 -1 10 }}, {{val| 0 -3 24 -52}}] | |||
{{Multival|legend=1| 3 -24 52 -45 74 188 }} | |||
[[POTE generator]]: ~192/175 = 166.019 | |||
{{Val list|legend=1| 65, 94, 159, 253, 412cd }} | |||
[[Badness]]: 0.211859 | |||
== 11-limit == | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 385/384, 4000/3993, 19712/19683 | |||
Mapping: [{{val| 1 2 -1 10 0}}, {{val| 0 -3 24 -52 25}}] | |||
POTE generator: ~11/10 = 166.017 | |||
Vals: {{Val list| 65, 94, 159, 253, 412cd }} | |||
Badness: 0.061336 | |||
== 13-limit == | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 325/324, 385/384, 1575/1573, 10985/10976 | |||
Mapping: [{{val| 1 2 -1 10 0 12}}, {{val| 0 -3 24 -52 25 -60}}] | |||
POTE generator: ~11/10 = 166.016 | |||
Vals: {{Val list| 65f, 94, 159, 253, 412cdf, 665ccdef }} | |||
Badness: 0.036700 | |||
== 17-limit == | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 325/324, 375/374, 385/384, 595/594, 10985/10976 | |||
Mapping: [{{val| 1 2 -1 10 0 12 -2}}, {{val| 0 -3 24 -52 25 -60 44}}] | |||
POTE generator: ~11/10 = 166.012 | |||
Vals: {{Val list| 65f, 94, 159, 253 }} | |||
Badness: 0.026504 | |||
= Term = | = Term = | ||