Schismatic family: Difference between revisions
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Cmloegcmluin (talk | contribs) adding parenthetical "(unchanged intervals)" to eigenmonzo lists |
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* [[7-odd-limit]]: ~3/2 = {{monzo| 2/3 1/15 0 -1/15 }} | * [[7-odd-limit]]: ~3/2 = {{monzo| 2/3 1/15 0 -1/15 }} | ||
: [{{monzo| 1 0 0 0 }}, {{monzo| 5/3 1/15 0 -1/15 }}, {{monzo| 5/3 -8/15 0 8/15 }}, {{monzo| 5/3 -14/15 0 14/15 }}] | : [{{monzo| 1 0 0 0 }}, {{monzo| 5/3 1/15 0 -1/15 }}, {{monzo| 5/3 -8/15 0 8/15 }}, {{monzo| 5/3 -14/15 0 14/15 }}] | ||
: [[Eigenmonzo]]s: 2, 7/6 | : [[Eigenmonzo]]s (unchanged intervals): 2, 7/6 | ||
* [[9-odd-limit]]: ~3/2 = {{monzo| 9/16 1/8 0 -1/16 }} | * [[9-odd-limit]]: ~3/2 = {{monzo| 9/16 1/8 0 -1/16 }} | ||
: [{{monzo| 1 0 0 0 }}, {{monzo| 25/16 1/8 0 -1/16 }}, {{monzo| 5/2 -1 0 1/2 }}, {{monzo| 25/8 -7/4 0 7/8 }}] | : [{{monzo| 1 0 0 0 }}, {{monzo| 25/16 1/8 0 -1/16 }}, {{monzo| 5/2 -1 0 1/2 }}, {{monzo| 25/8 -7/4 0 7/8 }}] | ||
: Eigenmonzos: 2, 9/7 | : Eigenmonzos (unchanged intervals): 2, 9/7 | ||
[[Tuning ranges]]: | [[Tuning ranges]]: | ||
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* 11-odd-limit: ~3/2 = {{monzo| 9/16 1/8 0 -1/16 }} | * 11-odd-limit: ~3/2 = {{monzo| 9/16 1/8 0 -1/16 }} | ||
: [{{monzo| 1 0 0 0 0 }}, {{monzo| 25/16 1/8 0 -1/16 0 }}, {{monzo| 5/2 -1 0 1/2 0 }}, {{monzo| 25/8 -7/4 0 7/8 0 }}, {{monzo| 47/16 23/8 0 -23/16 0 }}] | : [{{monzo| 1 0 0 0 0 }}, {{monzo| 25/16 1/8 0 -1/16 0 }}, {{monzo| 5/2 -1 0 1/2 0 }}, {{monzo| 25/8 -7/4 0 7/8 0 }}, {{monzo| 47/16 23/8 0 -23/16 0 }}] | ||
: Eigenmonzos: 2, 9/7 | : Eigenmonzos (unchanged intervals): 2, 9/7 | ||
Tuning ranges: | Tuning ranges: | ||
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Minimax tuning: | Minimax tuning: | ||
* 13- and 15-odd-limit: ~3/2 = {{monzo| 19/34 0 0 -1/34 0 1/34 }} | * 13- and 15-odd-limit: ~3/2 = {{monzo| 19/34 0 0 -1/34 0 1/34 }} | ||
: Eigenmonzos: 2, 14/13 | : Eigenmonzos (unchanged intervals): 2, 14/13 | ||
Tuning ranges: | Tuning ranges: | ||
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* [[7-odd-limit]]: ~3/2 = {{monzo| 27/47 0 -1/47 1/47 }} | * [[7-odd-limit]]: ~3/2 = {{monzo| 27/47 0 -1/47 1/47 }} | ||
: [{{monzo| 1 0 0 0 }}, {{monzo| 74/47 0 -1/47 1/47 }}, {{monzo| 113/47 0 8/47 -8/47 }}, {{monzo| 113/47 0 -39/47 39/47 }}] | : [{{monzo| 1 0 0 0 }}, {{monzo| 74/47 0 -1/47 1/47 }}, {{monzo| 113/47 0 8/47 -8/47 }}, {{monzo| 113/47 0 -39/47 39/47 }}] | ||
: Eigenmonzos: 2, 7/5 | : Eigenmonzos (unchanged intervals): 2, 7/5 | ||
* [[9-odd-limit]]: ~3/2 = {{monzo| 1/2 1/5 -1/10 }} | * [[9-odd-limit]]: ~3/2 = {{monzo| 1/2 1/5 -1/10 }} | ||
: [{{monzo| 1 0 0 0 }}, {{monzo| 3/2 1/5 -1/10 0 }}, {{monzo| 3 -8/5 4/5 0 }}, {{monzo| -1/2 39/5 -39/10 0 }}] | : [{{monzo| 1 0 0 0 }}, {{monzo| 3/2 1/5 -1/10 0 }}, {{monzo| 3 -8/5 4/5 0 }}, {{monzo| -1/2 39/5 -39/10 0 }}] | ||
: Eigenmonzos: 2, 10/9 | : Eigenmonzos (unchanged intervals): 2, 10/9 | ||
[[Tuning ranges]]: | [[Tuning ranges]]: | ||
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[[Minimax tuning]]: | [[Minimax tuning]]: | ||
* [[7-odd-limit]] eigenmonzos: 2, 7/6 | * [[7-odd-limit]] eigenmonzos (unchanged intervals): 2, 7/6 | ||
* [[9-odd-limit]] eigenmonzos: 2, 9/7 | * [[9-odd-limit]] eigenmonzos (unchanged intervals): 2, 9/7 | ||
{{Val list|legend=1| 12, 53d, 65, 77, 166c, 243c }} | {{Val list|legend=1| 12, 53d, 65, 77, 166c, 243c }} | ||
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[[Minimax tuning]]: | [[Minimax tuning]]: | ||
* [[7-odd-limit]] eigenmonzos: 2, 7/6 | * [[7-odd-limit]] eigenmonzos (unchanged intervals): 2, 7/6 | ||
* [[9-odd-limit]] eigenmonzos: 2, 9/7 | * [[9-odd-limit]] eigenmonzos (unchanged intervals): 2, 9/7 | ||
{{Val list|legend=1| 12, 106d, 118, 130, 248, 378, 508 }} | {{Val list|legend=1| 12, 106d, 118, 130, 248, 378, 508 }} | ||
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[[Minimax tuning]]: | [[Minimax tuning]]: | ||
* [[7-odd-limit]] eigenmonzos: 2, 6/5 | * [[7-odd-limit]] eigenmonzos (unchanged intervals): 2, 6/5 | ||
* [[9-odd-limit]] eigenmonzos: 2, 9/7 | * [[9-odd-limit]] eigenmonzos (unchanged intervals): 2, 9/7 | ||
{{Val list|legend=1| 12, 147d, 159, 171, 867, 1038, 1209, 1380, 1551, 1722 }} | {{Val list|legend=1| 12, 147d, 159, 171, 867, 1038, 1209, 1380, 1551, 1722 }} | ||
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[[Minimax tuning]]: | [[Minimax tuning]]: | ||
* [[7-odd-limit]] eigenmonzos: 2, 7/6 | * [[7-odd-limit]] eigenmonzos (unchanged intervals): 2, 7/6 | ||
* [[9-odd-limit]] eigenmonzos: 2, 9/7 | * [[9-odd-limit]] eigenmonzos (unchanged intervals): 2, 9/7 | ||
{{Val list|legend=1| 41, 89, 130, 171, 814, 985, 1156, 1327, 1498, 2825bd }} | {{Val list|legend=1| 41, 89, 130, 171, 814, 985, 1156, 1327, 1498, 2825bd }} | ||