Luna family: Difference between revisions
+Semiluna temperament |
→Hemithirds: update |
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Line 13: | Line 13: | ||
= Hemithirds = | = Hemithirds = | ||
{{main|Hemithirds}} | {{main| Hemithirds }} | ||
{{see also| | {{see also| Hemimean clan #Hemithirds }} | ||
Subgroup: 2.3.5.7 | |||
[[Comma list]]: 1029/1024, 3136/3125 | |||
[[Mapping]]: [{{val| 1 4 2 2 }}, {{val| 0 -15 2 5 }}] | |||
{{Multival|legend=1| 15 -2 -5 -38 -50 -6 }} | |||
[[POTE generator]]: ~28/25 = 193.244 | |||
[[Minimax tuning]]: | |||
* [[7-odd-limit]] | |||
: [{{monzo| 1 0 0 0 }}, {{monzo| 5/2 3/4 0 -3/4 }}, {{monzo| 11/5 -1/10 0 1/10 }}, {{monzo| 5/2 -1/4 0 1/4 }}] | |||
: [[Eigenmonzo]]s: 2, 7/6 | |||
* [[9-odd-limit]] | |||
: [{{monzo| 1 0 0 0 }}, {{monzo| 10/7 6/7 0 -3/7 }}, {{monzo| 82/35 -4/35 0 2/35 }}, {{monzo| 20/7 -2/7 0 1/7 }}] | |||
: [[Eigenmonzo]]s: 2, 7/6 | |||
{{Val list|legend=1| 31, 87, 118 }} | |||
Badness: 0.0443 | Badness: 0.0443 | ||
== 11-limit == | == 11-limit == | ||
Subgroup: 2.3.5.7.11 | |||
Comma list: 385/384, 441/440, 3136/3125 | |||
Mapping: [{{val| 1 4 2 2 7 }}, {{val| 0 -15 2 5 -22 }}] | |||
POTE generator: ~28/25 = 193.227 | POTE generator: ~28/25 = 193.227 | ||
Minimax tuning: | |||
* 11-odd-limit | |||
: [{{monzo| 1 0 0 0 0 }}, {{monzo| 11/9 0 0 -5/9 5/9 }}, {{monzo| 64/27 0 0 2/27 -2/27 }}, {{monzo| 79/27 0 0 5/27 -5/27 }}, {{monzo| 79/27 0 0 -22/27 22/27 }}] | |||
: Eigenmonzos: 2, 11/7 | |||
{{Val list|legend=1| 31, 87, 118 }} | |||
Badness: 0.0190 | Badness: 0.0190 | ||
== 13-limit == | == 13-limit == | ||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 196/195, 352/351, 385/384, 625/624 | |||
Mapping: [{{val| 1 4 2 2 7 0 }}, {{val| 0 -15 2 5 -22 23 }}] | |||
POTE generator: ~28/25 = 193.166 | POTE generator: ~28/25 = 193.166 | ||
{{Val list|legend=1| 31, 56, 87, 118, 205d }} | |||
Badness: 0.0217 | Badness: 0.0217 |