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Marvel family: Difference between revisions

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Cmloegcmluin (talk | contribs)
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5,172 edits
add unchanged-intervals along with eigenmonzo, per prior agreement on Xenwiki Work Group
Line 35: Line 35:
* [[7-odd-limit]]: 3 and 5 1/4c flat, 7 just
* [[7-odd-limit]]: 3 and 5 1/4c flat, 7 just
: [{{monzo| 1 0 0 0 }}, {{monzo| 5/4 1/2 -1/2 1/4 }}, {{monzo| 5/4 -1/2 1/2 1/4 }}, {{monzo| 0 0 0 1 }}]
: [{{monzo| 1 0 0 0 }}, {{monzo| 5/4 1/2 -1/2 1/4 }}, {{monzo| 5/4 -1/2 1/2 1/4 }}, {{monzo| 0 0 0 1 }}]
: [[Eigenmonzo subgroup]]: 2.5/3.7
: [[Eigenmonzo subgroup]] ([[unchanged-interval basis]]): 2.5/3.7
* [[9-odd-limit]]: 3 1/6c flat, 5 1/3c flat, 7 just
* [[9-odd-limit]]: 3 1/6c flat, 5 1/3c flat, 7 just
: [{{monzo| 1 0 0 0 }}, {{monzo| 5/6 2/3 -1/3 1/6 }}, {{monzo| 5/3 -2/3 1/3 1/3 }}, {{monzo| 0 0 0 1 }}]
: [{{monzo| 1 0 0 0 }}, {{monzo| 5/6 2/3 -1/3 1/6 }}, {{monzo| 5/3 -2/3 1/3 1/3 }}, {{monzo| 0 0 0 1 }}]
: [[Eigenmonzo subgroup]]: 2.9/5.7
: [[Eigenmonzo subgroup]] ([[unchanged-interval basis]]): 2.9/5.7


{{Val list|legend=1| 9, 10, 12, 19, 31, 41, 53, 72, 197, 269c }}
{{Val list|legend=1| 9, 10, 12, 19, 31, 41, 53, 72, 197, 269c }}
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* 11-odd-limit
* 11-odd-limit
: [{{monzo| 1 0 0 0 0 }}, {{monzo| 4/3 8/9 -1/3 0 -1/9 }}, {{monzo| 8/3 -2/9 1/3 0 -2/9 }}, {{monzo| 3 4/3 0 0 -2/3 }}, {{monzo| 8/3 -2/9 -2/3 0 7/9 }}]
: [{{monzo| 1 0 0 0 0 }}, {{monzo| 4/3 8/9 -1/3 0 -1/9 }}, {{monzo| 8/3 -2/9 1/3 0 -2/9 }}, {{monzo| 3 4/3 0 0 -2/3 }}, {{monzo| 8/3 -2/9 -2/3 0 7/9 }}]
: [[Eigenmonzo subgroup]]: 2.9/5.11/9
: [[Eigenmonzo subgroup]] ([[unchanged-interval basis]]): 2.9/5.11/9


{{Val list|legend=1| 9, 10, 12e, 19, 22, 31, 41, 53, 72, 166, 197e, 238c, 269ce, 341ce }}
{{Val list|legend=1| 9, 10, 12e, 19, 22, 31, 41, 53, 72, 166, 197e, 238c, 269ce, 341ce }}
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Minimax tuning:  
Minimax tuning:  
* 13-odd-limit eigenmonzo subgroup: 2.11/9.13/9
* 13-odd-limit eigenmonzo subgroup (unchanged-interval basis): 2.11/9.13/9
* 15-odd-limit eigenmonzo subgroup: 2.15/11.15/13
* 15-odd-limit eigenmonzo subgroup (unchanged-interval basis): 2.15/11.15/13


Optimal GPV sequence: {{Val list| 19, 22, 31, 50, 53, 72, 103, 175f, 300ceff, 403bceeff, 578bbccdeeefff }}
Optimal GPV sequence: {{Val list| 19, 22, 31, 50, 53, 72, 103, 175f, 300ceff, 403bceeff, 578bbccdeeefff }}
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Minimax tuning:  
Minimax tuning:  
* 13-odd-limit eigenmonzo subgroup: 2.7.13/5
* 13-odd-limit eigenmonzo subgroup (unchanged-interval basis): 2.7.13/5
* 15-odd-limit eigenmonzo subgroup: 2.7.15/13
* 15-odd-limit eigenmonzo subgroup (unchanged-interval basis): 2.7.15/13


Optimal GPV sequence: {{Val list| 19, 22f, 31f, 41, 53, 72, 125f, 166, 238cf }}
Optimal GPV sequence: {{Val list| 19, 22f, 31f, 41, 53, 72, 125f, 166, 238cf }}
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Minimax tuning:  
Minimax tuning:  
* 13-odd-limit eigenmonzo subgroup: 2.9/5.11/9
* 13-odd-limit eigenmonzo subgroup (unchanged-interval basis): 2.9/5.11/9
* 15-odd-limit eigenmonzo subgroup: 2.7.15/13
* 15-odd-limit eigenmonzo subgroup (unchanged-interval basis): 2.7.15/13


Optimal GPV sequence: {{Val list| 9, 22f, 31, 63, 72, 103, 166, 238cf, 269ce, 507bcceff, 610bcceeff }}
Optimal GPV sequence: {{Val list| 9, 22f, 31, 63, 72, 103, 166, 238cf, 269ce, 507bcceff, 610bcceeff }}
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Minimax tuning:  
Minimax tuning:  
* 13-odd-limit eigenmonzo subgroup: 2.9/5.13/9
* 13-odd-limit eigenmonzo subgroup (unchanged-interval basis): 2.9/5.13/9
* 15-odd-limit eigenmonzo subgroup: 2.3.13/5
* 15-odd-limit eigenmonzo subgroup (unchanged-interval basis): 2.3.13/5


Optimal GPV sequence: {{Val list| 9, 19f, 22, 31f, 41, 63, 72, 185cf, 257cff }}
Optimal GPV sequence: {{Val list| 9, 19f, 22, 31f, 41, 63, 72, 185cf, 257cff }}
Line 247: Line 247:


Minimax tuning:  
Minimax tuning:  
* 13-odd-limit eigenmonzo subgroup: 2.9/7.13/11
* 13-odd-limit eigenmonzo subgroup (unchanged-interval basis): 2.9/7.13/11
* 15-odd-limit eigenmonzo subgroup: 2.5/3.13/11
* 15-odd-limit eigenmonzo subgroup (unchanged-interval basis): 2.5/3.13/11


Optimal GPV sequence: {{Val list| 9, 10, 19, 22f, 31, 41, 72f, 91, 122f, 163df }}
Optimal GPV sequence: {{Val list| 9, 10, 19, 22f, 31, 41, 72f, 91, 122f, 163df }}
Line 286: Line 286:
[[Optimal tuning]] ([[POTE]]): ~3/2 = 700.2593, ~5/4 = 386.5581
[[Optimal tuning]] ([[POTE]]): ~3/2 = 700.2593, ~5/4 = 386.5581


[[Minimax tuning]]: [[11-odd-limit]] [[eigenmonzo subgroup]]: 2.7/5.11/9
[[Minimax tuning]]: [[11-odd-limit]] [[Eigenmonzo subgroup]] ([[unchanged-interval basis]]): 2.7/5.11/9


{{Val list|legend=1| 9, 12, 19e, 22, 31, 53, 84e, 96, 127 }}
{{Val list|legend=1| 9, 12, 19e, 22, 31, 53, 84e, 96, 127 }}
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Minimax tuning:  
Minimax tuning:  
* 13-odd-limit eigenmonzo subgroup: 2.11/9.13/7
* 13-odd-limit eigenmonzo subgroup (unchanged-interval basis): 2.11/9.13/7
* 15-odd-limit eigenmonzo subgroup: 2.11/9.13/7
* 15-odd-limit eigenmonzo subgroup (unchanged-interval basis): 2.11/9.13/7


Optimal GPV sequence: {{Val list| 12f, 19e, 22, 31, 53, 84e, 118d, 171de, 202def }}
Optimal GPV sequence: {{Val list| 12f, 19e, 22, 31, 53, 84e, 118d, 171de, 202def }}
Line 326: Line 326:
[[Optimal tuning]] ([[POTE]]): ~3/2 = 703.4846, ~5/4 = 381.6033
[[Optimal tuning]] ([[POTE]]): ~3/2 = 703.4846, ~5/4 = 381.6033


[[Minimax tuning]]: [[11-odd-limit]] [[eigenmonzo subgroup]]: 2.7/5.11/9
[[Minimax tuning]]: [[11-odd-limit]] [[Eigenmonzo subgroup]] ([[unchanged-interval basis]]): 2.7/5.11/9


{{Val list|legend=1| 12, 19, 22, 34d, 41, 104, 157ce, 198ce, 220ce, 261ce }}
{{Val list|legend=1| 12, 19, 22, 34d, 41, 104, 157ce, 198ce, 220ce, 261ce }}
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Optimal tuning (POTE): ~3/2 = 703.9984, ~5/4 = 381.5352
Optimal tuning (POTE): ~3/2 = 703.9984, ~5/4 = 381.5352


Minimax tuning: 13-odd-limit eigenmonzo subgroup: 2.11/9.13/9
Minimax tuning: 13-odd-limit eigenmonzo subgroup (unchanged-interval basis): 2.11/9.13/9


Optimal GPV sequence: {{Val list| 12f, 19f, 22, 29, 34d, 41, 63, 104, 179cef, 242cde, 283def, 346bcdef }}
Optimal GPV sequence: {{Val list| 12f, 19f, 22, 29, 34d, 41, 63, 104, 179cef, 242cde, 283def, 346bcdef }}
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[[Optimal tuning]] ([[POTE]]): ~3/2 = 696.1714, ~5/4 = 385.0500
[[Optimal tuning]] ([[POTE]]): ~3/2 = 696.1714, ~5/4 = 385.0500


[[Minimax tuning]]: [[11-odd-limit]] [[eigenmonzo subgroup]]: 2.9/7.11
[[Minimax tuning]]: [[11-odd-limit]] [[Eigenmonzo subgroup]] ([[unchanged-interval basis]]): 2.9/7.11


{{Val list|legend=1| 7d, 9, 10, 12, 19, 31e, 50e }}
{{Val list|legend=1| 7d, 9, 10, 12, 19, 31e, 50e }}
Line 376: Line 376:


Minimax tuning:  
Minimax tuning:  
* 13-odd-limit eigenmonzo subgroup: 2.9/7.13/9
* 13-odd-limit eigenmonzo subgroup (unchanged-interval basis): 2.9/7.13/9
* 15-odd-limit eigenmonzo subgroup: 2.9/7.13/9
* 15-odd-limit eigenmonzo subgroup (unchanged-interval basis): 2.9/7.13/9


Optimal GPV sequence: {{Val list| 9, 10, 12f, 19, 31e, 50e }}
Optimal GPV sequence: {{Val list| 9, 10, 12f, 19, 31e, 50e }}
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* [[11-odd-limit]]
* [[11-odd-limit]]
: [{{monzo| 1 0 0 0 0 }}, {{monzo| 13/12 1/2 -1/4 0 1/12 }}, {{monzo| 13/6 -1 1/2 0 1/6 }}, {{monzo| 3/2 -1 1/2 0 1/2 }}, {{monzo| 0 0 0 0 1 }}]
: [{{monzo| 1 0 0 0 0 }}, {{monzo| 13/12 1/2 -1/4 0 1/12 }}, {{monzo| 13/6 -1 1/2 0 1/6 }}, {{monzo| 3/2 -1 1/2 0 1/2 }}, {{monzo| 0 0 0 0 1 }}]
: [[Eigenmonzo subgroup]]: 2.9/5.11
: [[Eigenmonzo subgroup]] ([[unchanged-interval basis]]): 2.9/5.11


{{Val list|legend=1| 10, 12, 19e, 29, 31, 41, 60e, 72, 247c, 319bcde, 391bcde, 463bccde }}
{{Val list|legend=1| 10, 12, 19e, 29, 31, 41, 60e, 72, 247c, 319bcde, 391bcde, 463bccde }}
Line 543: Line 543:
* [[11-odd-limit]]
* [[11-odd-limit]]
: [{{monzo| 1 0 0 0 0 }}, {{monzo| 1/5 0 0 0 2/5 }}, {{monzo| 2/5 -2 1 0 4/5 }}, {{monzo| -19/5 -4 2 0 12/5 }}, {{monzo| 0 0 0 0 1 }}]
: [{{monzo| 1 0 0 0 0 }}, {{monzo| 1/5 0 0 0 2/5 }}, {{monzo| 2/5 -2 1 0 4/5 }}, {{monzo| -19/5 -4 2 0 12/5 }}, {{monzo| 0 0 0 0 1 }}]
: [[Eigenmonzo subgroup]]: 2.9/5.11
: [[Eigenmonzo subgroup]] ([[unchanged-interval basis]]): 2.9/5.11


{{Val list|legend=1| 31, 41, 72, 247c, 281, 353c, 425bc, 497bc }}
{{Val list|legend=1| 31, 41, 72, 247c, 281, 353c, 425bc, 497bc }}
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