Porcupine family: Difference between revisions
+descriptions to all strong extensions |
Cmloegcmluin (talk | contribs) add unchanged-intervals along with eigenmonzo, per prior agreement on Xenwiki Work Group |
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[[Minimax tuning]]: | [[Minimax tuning]]: | ||
* [[7-odd-limit]]: ~10/9 = {{monzo| 3/5 0 -1/5 }} | * [[7-odd-limit]]: ~10/9 = {{monzo| 3/5 0 -1/5 }} | ||
: [[Eigenmonzo basis]]: 2.5 | : [[Eigenmonzo basis]] ([[unchanged-interval basis]]): 2.5 | ||
* [[9-odd-limit]]: ~10/9 = {{monzo| 1/6 -1/6 0 1/12 }} | * [[9-odd-limit]]: ~10/9 = {{monzo| 1/6 -1/6 0 1/12 }} | ||
: [[Eigenmonzo basis]]: 2.9/7 | : [[Eigenmonzo basis]] ([[unchanged-interval basis]]): 2.9/7 | ||
[[Tuning ranges]]: | [[Tuning ranges]]: | ||
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Minimax tuning: | Minimax tuning: | ||
* 11-odd-limit: ~11/10 = {{monzo| 1/6 -1/6 0 1/12 }} | * 11-odd-limit: ~11/10 = {{monzo| 1/6 -1/6 0 1/12 }} | ||
: Eigenmonzo basis: 2.9/7 | : Eigenmonzo basis (unchanged-interval basis): 2.9/7 | ||
Tuning ranges: | Tuning ranges: | ||
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Minimax tuning: | Minimax tuning: | ||
* 13- and 15-odd-limit: ~10/9 = {{monzo| 1 0 0 0 -1/4 }} | * 13- and 15-odd-limit: ~10/9 = {{monzo| 1 0 0 0 -1/4 }} | ||
: Eigenmonzo basis: 2.11 | : Eigenmonzo basis (unchanged-interval basis): 2.11 | ||
Tuning ranges: | Tuning ranges: | ||
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Minimax tuning: | Minimax tuning: | ||
* 13- and 15-odd-limit: ~10/9 = {{monzo| 2/13 0 0 0 1/13 -1/13 }} | * 13- and 15-odd-limit: ~10/9 = {{monzo| 2/13 0 0 0 1/13 -1/13 }} | ||
: Eigenmonzo basis: 2.13/11 | : Eigenmonzo basis (unchanged-interval basis): 2.13/11 | ||
Tuning ranges: | Tuning ranges: | ||
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Minimax tuning: | Minimax tuning: | ||
* 13- and 15-odd-limit: ~11/10 = {{monzo| 1/14 0 0 -1/14 0 1/14 }} | * 13- and 15-odd-limit: ~11/10 = {{monzo| 1/14 0 0 -1/14 0 1/14 }} | ||
: Eigenmonzo basis: 2.13/7 | : Eigenmonzo basis (unchanged-interval basis): 2.13/7 | ||
Optimal GPV sequence: {{val list| 15f, 22f, 37, 59f }} | Optimal GPV sequence: {{val list| 15f, 22f, 37, 59f }} | ||
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Minimax tuning: | Minimax tuning: | ||
* 13- and 15-odd-limit: ~11/10 = {{monzo| 1/6 -1/6 0 1/12 }} | * 13- and 15-odd-limit: ~11/10 = {{monzo| 1/6 -1/6 0 1/12 }} | ||
: Eigenmonzo basis: 2.9/7 | : Eigenmonzo basis (unchanged-interval basis): 2.9/7 | ||
Optimal GPV sequence: {{val list| 7, 15f, 22 }} | Optimal GPV sequence: {{val list| 7, 15f, 22 }} | ||
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[[Minimax tuning]]: | [[Minimax tuning]]: | ||
* [[7-odd-limit|7-]] and [[9-odd-limit]] [[eigenmonzo basis]]: 2.7 | * [[7-odd-limit|7-]] and [[9-odd-limit]] [[eigenmonzo basis]] ([[unchanged-interval basis]]): 2.7 | ||
{{Val list|legend=1| 7d, 8d, 15 }} | {{Val list|legend=1| 7d, 8d, 15 }} | ||
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Minimax tuning: | Minimax tuning: | ||
* 11-odd-limit eigenmonzo basis: 2.7 | * 11-odd-limit eigenmonzo basis (unchanged-interval basis): 2.7 | ||
Optimal GPV sequence: {{Val list| 7d, 8d, 15 }} | Optimal GPV sequence: {{Val list| 7d, 8d, 15 }} | ||
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Minimax tuning: | Minimax tuning: | ||
* 13- and 15-odd-limit eigenmonzo basis: 2.7 | * 13- and 15-odd-limit eigenmonzo basis (unchanged-interval basis): 2.7 | ||
Optimal GPV sequence: {{Val list| 7d, 8d, 15, 38bceff }} | Optimal GPV sequence: {{Val list| 7d, 8d, 15, 38bceff }} | ||
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[[Minimax tuning]]: | [[Minimax tuning]]: | ||
* [[7-odd-limit|7-]] and [[9-odd-limit]]: ~10/9 = {{monzo| 2/11 0 1/11 -1/11 }} | * [[7-odd-limit|7-]] and [[9-odd-limit]]: ~10/9 = {{monzo| 2/11 0 1/11 -1/11 }} | ||
: [[Eigenmonzo basis]]: 2.7/5 | : [[Eigenmonzo basis]] ([[unchanged-interval basis]]): 2.7/5 | ||
{{Val list|legend=1| 7d, 15d, 22, 29, 51, 73c }} | {{Val list|legend=1| 7d, 15d, 22, 29, 51, 73c }} | ||
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Minimax tuning: | Minimax tuning: | ||
* 11-odd-limit: ~11/10 = {{monzo| 2/11 0 1/11 -1/11 }} | * 11-odd-limit: ~11/10 = {{monzo| 2/11 0 1/11 -1/11 }} | ||
: Eigenmonzo basis: 2.7/5 | : Eigenmonzo basis (unchanged-interval basis): 2.7/5 | ||
Optimal GPV sequence: {{val list| 7d, 15d, 22, 51 }} | Optimal GPV sequence: {{val list| 7d, 15d, 22, 51 }} | ||
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[[Minimax tuning]]: | [[Minimax tuning]]: | ||
* [[7-odd-limit|7-]] and [[9-odd-limit]]: ~10/9 = {{monzo| 2/3 -1/3 }} | * [[7-odd-limit|7-]] and [[9-odd-limit]]: ~10/9 = {{monzo| 2/3 -1/3 }} | ||
: [[Eigenmonzo basis]]: 2.3 | : [[Eigenmonzo basis]] ([[unchanged-interval basis]]): 2.3 | ||
{{Val list|legend=1| 7, 22d, 29, 65c, 94cd }} | {{Val list|legend=1| 7, 22d, 29, 65c, 94cd }} | ||
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Minimax tuning: | Minimax tuning: | ||
* 11-odd-limit: ~11/10 = {{monzo| 2/3 -1/3 }} | * 11-odd-limit: ~11/10 = {{monzo| 2/3 -1/3 }} | ||
: Eigenmonzo basis: 2.3 | : Eigenmonzo basis (unchanged-interval basis): 2.3 | ||
Optimal GPV sequence: {{val list| 7, 22d, 29, 65ce }} | Optimal GPV sequence: {{val list| 7, 22d, 29, 65ce }} | ||
| Line 360: | Line 360: | ||
Minimax tuning: | Minimax tuning: | ||
* 13- and 15-odd-limit: ~11/10 = {{monzo| 2/3 -1/3 }} | * 13- and 15-odd-limit: ~11/10 = {{monzo| 2/3 -1/3 }} | ||
: Eigenmonzo basis: 2.3 | : Eigenmonzo basis (unchanged-interval basis): 2.3 | ||
Optimal GPV sequence: {{val list| 7, 22d, 29, 65cef }} | Optimal GPV sequence: {{val list| 7, 22d, 29, 65cef }} | ||
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[[Minimax tuning]]: | [[Minimax tuning]]: | ||
* [[7-odd-limit|7-]] and [[9-odd-limit]]: ~10/9 = {{monzo| 3/5 0 -1/5 }} | * [[7-odd-limit|7-]] and [[9-odd-limit]]: ~10/9 = {{monzo| 3/5 0 -1/5 }} | ||
: [[Eigenmonzo basis]]: 2.5 | : [[Eigenmonzo basis]] ([[unchanged-interval basis]]): 2.5 | ||
{{Val list|legend=1| 7, 8d, 15d }} | {{Val list|legend=1| 7, 8d, 15d }} | ||