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Marveltwin: Difference between revisions

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Cleanup (5/5)
- complexity spectra (rank-5 outlier & unnamed rank-4 temps)
 
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: 3 pure; 5, 7, 11 and 13 all flat by (325/324)<sup>1/3</sup>, which is 1.778 cents.  
: 3 pure; 5, 7, 11 and 13 all flat by (325/324)<sup>1/3</sup>, which is 1.778 cents.  
: [[eigenmonzo basis|eigenmonzo (unchanged-interval) basis]]: 2.3.7/5.11/5.13/5
: [[eigenmonzo basis|unchanged-interval (eigenmonzo) basis]]: 2.3.7/5.11/5.13/5
 
[[Complexity spectrum]]: 4/3, 6/5, 10/9, 5/4, 9/8, 8/7, 16/15, 18/13, 13/12, 7/6, 16/13, 7/5, 11/8, 9/7, 12/11, 15/14, 11/10, 11/9, 13/10, 14/13, 15/13, 14/11, 15/11, 13/11


{{Optimal ET sequence|legend=1| 7, 12, 15, 19, 26, 34, 41, 46, 53, 72, 87, 121, 140, 159, 193, 212, 299, 333 }}
{{Optimal ET sequence|legend=1| 7, 12, 15, 19, 26, 34, 41, 46, 53, 72, 87, 121, 140, 159, 193, 212, 299, 333 }}
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[[Minimax tuning]]s:  
[[Minimax tuning]]s:  
* 13-limit eigenmonzo (unchanged-interval) basis: 2.7.11/5.13/5
* 13-limit unchanged-interval (eigenmonzo) basis: 2.7.11/5.13/5
* 15-limit eigenmonzo (unchanged-interval) basis: 2.7.15/11.15/13
* 15-limit unchanged-interval (eigenmonzo) basis: 2.7.15/11.15/13


{{Optimal ET sequence|legend=1| 12, 19, 41, 53, 72, 166 }}
{{Optimal ET sequence|legend=1| 12, 19, 41, 53, 72, 166 }}
[[Complexity spectrum]]: 4/3, 5/4, 6/5, 16/15, 15/14, 9/8, 10/9, 7/5, 9/7, 7/6, 18/13, 8/7, 13/12, 16/13, 11/8, 12/11, 15/13, 11/10, 15/11, 11/9, 13/10, 14/13, 14/11, 13/11


[[Badness]]: 3.668 × 10<sup>-6</sup>
[[Badness]]: 3.668 × 10<sup>-6</sup>
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[[Comma list]]: 325/324, 364/363
[[Comma list]]: 325/324, 364/363
[[Complexity spectrum]]: 4/3, 6/5, 10/9, 11/8, 5/4, 12/11, 14/11, 9/8, 13/11, 11/9, 8/7, 13/12, 18/13, 16/15, 7/6, 11/10, 7/5, 16/13, 9/7, 15/11, 15/14, 13/10, 15/13, 14/13


{{Optimal ET sequence|legend=1| 15, 26, 41, 46, 72, 87, 121, 159, 193, 239, 280 }}
{{Optimal ET sequence|legend=1| 15, 26, 41, 46, 72, 87, 121, 159, 193, 239, 280 }}
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[[Comma list]]: 325/324, 441/440
[[Comma list]]: 325/324, 441/440
[[Complexity spectrum]]: 4/3, 6/5, 8/7, 10/9, 14/11, 5/4, 7/6, 9/8, 7/5, 16/15, 13/12, 18/13, 9/7, 11/8, 12/11, 15/14, 16/13, 11/9, 11/10, 13/11, 15/11, 14/13, 13/10, 15/13


{{Optimal ET sequence|legend=1| 12, 15, 26, 41, 46, 72, 87, 159 }}
{{Optimal ET sequence|legend=1| 12, 15, 26, 41, 46, 72, 87, 159 }}
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[[Comma list]]: 169/168, 325/324
[[Comma list]]: 169/168, 325/324
[[Complexity spectrum]]: 10/9, 6/5, 4/3, 14/13, 13/12, 16/13, 5/4, 18/13, 9/8, 13/10, 8/7, 7/6, 15/13, 16/15, 9/7, 7/5, 11/8, 12/11, 13/11, 11/10, 15/14, 11/9, 14/11, 15/11


{{Optimal ET sequence|legend=1| 7, 19, 26, 46, 53, 72, 152 }}
{{Optimal ET sequence|legend=1| 7, 19, 26, 46, 53, 72, 152 }}
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[[Comma list]]: 325/324, 540/539
[[Comma list]]: 325/324, 540/539
[[Complexity spectrum]]: 4/3, 6/5, 7/6, 9/7, 10/9, 5/4, 7/5, 9/8, 15/14, 8/7, 16/15, 18/13, 13/12, 12/11, 11/9, 11/10, 11/8, 15/11, 16/13, 14/13, 15/13, 13/10, 13/11, 14/11


{{Optimal ET sequence|legend=1| 19, 41, 53, 72, 121, 166, 193 }}
{{Optimal ET sequence|legend=1| 19, 41, 53, 72, 121, 166, 193 }}
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[[Comma list]]: 325/324, 352/351
[[Comma list]]: 325/324, 352/351
[[Complexity spectrum]]: 4/3, 10/9, 6/5, 9/8, 5/4, 13/11, 16/13, 11/9, 13/12, 12/11, 16/15, 18/13, 8/7, 7/6, 11/8, 9/7, 15/11, 11/10, 7/5, 14/13, 13/10, 15/14, 14/11, 15/13


{{Optimal ET sequence|legend=1| 7, 34, 41, 46, 53, 80, 87, 121, 140, 261, 358, 401 }}
{{Optimal ET sequence|legend=1| 7, 34, 41, 46, 53, 80, 87, 121, 140, 261, 358, 401 }}
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[[Comma list]]: 325/324, 625/624
[[Comma list]]: 325/324, 625/624
[[Complexity spectrum]]: 6/5, 18/13, 15/13, 5/4, 4/3, 10/9, 13/12, 13/10, 16/15, 9/8, 16/13, 8/7, 7/5, 7/6, 15/14, 11/8, 9/7, 11/10, 12/11, 14/13, 15/11, 11/9, 13/11, 14/11


{{Optimal ET sequence|legend=1| 15, 19, 34, 53, 72, 87, 121, 140, 159, 193, 212, 299, 333 }}
{{Optimal ET sequence|legend=1| 15, 19, 34, 53, 72, 87, 121, 140, 159, 193, 212, 299, 333 }}
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* [[Marvel|Marvel (hecate)]] → [[Marvel family #Hecate|Marvel family]]
* [[Marvel|Marvel (hecate)]] → [[Marvel family #Hecate|Marvel family]]
: +225/224, 385/384
: +225/224, 385/384
* [[Enlil|Enlil a.k.a. sumatra]] → [[Kleismic rank three family #Enlil|Kleismic rank-3 family]]
* [[Enlil|Enlil a.k.a. sumatra]] → [[Kleismic rank-3 family #Enlil|Kleismic rank-3 family]]
: +385/384, 625/624
: +385/384, 625/624


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