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Hemimage family: Difference between revisions

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m Cleanup (2/2)
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[[Comma list]]: 10976/10935
[[Comma list]]: 10976/10935
[[Mapping]]: [{{val| 1 0 2 -1 }}, {{val| 0 1 2 3 }}, {{val| 0 0 -3 -1 }}]
Mapping generators: ~2, ~3, ~27/14


[[Minimax tuning]]:  
[[Minimax tuning]]:  
* [[7-odd-limit]]
* [[7-odd-limit]]
: [|1 0 0 0>, |5/8 1/8 -1/8 3/8>, |5/8 -7/8 7/8 3/8>, |0 0 0 1>]
: [{{monzo| 1 0 0 0 }}, {{monzo| 5/8 1/8 -1/8 3/8 }}, {{monzo| 5/8 -7/8 7/8 3/8 }}, {{monzo| 0 0 0 1 }}]
: [[Eigenmonzo]]s: 2, 8/7, 6/5
: [[Eigenmonzo]]s: 2, 8/7, 6/5
* [[9-odd-limit]]
* [[9-odd-limit]]
: [|1 0 0 0>, |5/9 2/9 -1/9 1/3>, |10/9 -14/9 7/9 2/3>, |0 0 0 1>]
: [{{monzo| 1 0 0 0 }}, {{monzo| 5/9 2/9 -1/9 1/3 }}, {{monzo| 10/9 -14/9 7/9 2/3 }}, {{monzo| 0 0 0 1 }}]
: [[Eigenmonzo]]s: 2, 10/9, 8/7
: [[Eigenmonzo]]s: 2, 10/9, 8/7
[[Mapping]]: [<1 0 2 -1|, <0 1 2 3|, <0 0 -3 -1|]
Mapping generators: ~2, ~3, ~27/14


{{Val list|legend=1| 14, 19, 41, 58, 77, 80, 99, 118, 140, 217, 316, 338, 357, 415, 456, 654, 695 }}
{{Val list|legend=1| 14, 19, 41, 58, 77, 80, 99, 118, 140, 217, 316, 338, 357, 415, 456, 654, 695 }}
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[[Comma list]]: 540/539, 896/891
[[Comma list]]: 540/539, 896/891


Mapping: [<1 0 2 -1 6|, <0 1 2 3 -1|, <0 0 -3 -1 -1|]
[[Mapping]]: [{{val| 1 0 2 -1 6 }}, {{val| 0 1 2 3 -1 }}, {{val| 0 0 -3 -1 -1 }}]


[[Minimax tuning]]:  
[[Minimax tuning]]:  
* [[11-odd-limit]]
* [[11-odd-limit]]
: [|1 0 0 0 0>, |16/11 6/11 1/11 0 -3/11>, |0 0 1 0 0>, |19/11 14/11 6/11 0 -7/11>, |32/11 -10/11 2/11 0 5/11>]
: [{{monzo| 1 0 0 0 0 }}, {{monzo| 16/11 6/11 1/11 0 -3/11 }}, {{monzo| 0 0 1 0 0 }}, {{monzo| 19/11 14/11 6/11 0 -7/11 }}, {{monzo| 32/11 -10/11 2/11 0 5/11 }}]
: [[Eigenmonzo]]s: 2, 11/9, 5/4
: [[Eigenmonzo]]s: 2, 11/9, 5/4


{{Val list|legend=1| 19, 22, 41, 58, 80, 121 }}
{{Val list|legend=1| 19, 22, 41, 58, 80, 121 }}


Badness: 0.702 × 10<sup>-3</sup>
[[Badness]]: 0.702 × 10<sup>-3</sup>


== 13-limit ==
== 13-limit ==
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Comma list: 352/351, 364/363, 540/539
Comma list: 352/351, 364/363, 540/539


Mapping: [&lt;1 0 2 -1 6 11|, &lt;0 1 2 3 -1 -4|, &lt;0 0 -3 -1 -1 -1|]
Mapping: [{{val| 1 0 2 -1 6 11 }}, {{val| 0 1 2 3 -1 -4 }}, {{val| 0 0 -3 -1 -1 -1 }}]


Vals: {{Val list| 22, 41, 58, 80, 121 }}
Vals: {{Val list| 22, 41, 58, 80, 121 }}
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Comma list: 144/143, 196/195, 729/728
Comma list: 144/143, 196/195, 729/728


Mapping: [&lt;1 0 2 -1 6 -2|, &lt;0 1 2 3 -1 3|, &lt;0 0 -3 -1 -1 1|]
Mapping: [{{val| 1 0 2 -1 6 -2 }}, {{val| 0 1 2 3 -1 3 }}, {{val| 0 0 -3 -1 -1 1 }}]


Vals: {{Val list| 19, 36, 41, 58 }}
Vals: {{Val list| 19, 36, 41, 58 }}
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[[Comma list]]: 441/440, 10976/10935
[[Comma list]]: 441/440, 10976/10935


[[Mapping]]: [&lt;1 0 2 -1 -7|, &lt;0 1 2 3 6|, &lt;0 0 -3 -1 1|]
[[Mapping]]: [{{val| 1 0 2 -1 -7 }}, {{val| 0 1 2 3 6 }}, {{val| 0 0 -3 -1 1 }}]


[[Minimax tuning]]:  
[[Minimax tuning]]:  
: [|1 0 0 0 0&gt;, |19/12 -2/3 1/12 0 1/4&gt;, |19/6 -10/3 7/6 0 1/2&gt;, |37/12 -8/3 7/12 0 3/4&gt;, |19/6 -10/3 1/6 0 3/2&gt;]
* [[11-odd-limit]]
: [{{monzo| 1 0 0 0 0 }}, {{monzo| 19/12 -2/3 1/12 0 1/4 }}, {{monzo| 19/6 -10/3 7/6 0 1/2 }}, {{monzo| 37/12 -8/3 7/12 0 3/4 }}, {{monzo| 19/6 -10/3 1/6 0 3/2 }}]
: [[Eigenmonzo]]s: 2, 10/9, 11/9
: [[Eigenmonzo]]s: 2, 10/9, 11/9


{{Val list|legend=1| 41, 58, 118], 159, 217, 335 }}
{{Val list|legend=1| 41, 58, 118, 159, 217, 335 }}


[[Badness]]: 0.936 × 10<sup>-3</sup>
[[Badness]]: 0.936 × 10<sup>-3</sup>
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