Gamelismic clan: Difference between revisions
recat |
Restles temperament (see talk) |
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[|1 0 0 0>, |5/2 3/4 0 -3/4>, | [|1 0 0 0>, |5/2 3/4 0 -3/4>, | ||
|5/2 -1/4 1 -3/4>, |5/2 -1/4 0 1/4>] | |5/2 -1/4 1 -3/4>, |5/2 -1/4 0 1/4><nowiki>]</nowiki> | ||
Eigenmonzos: 2, 7/6, 6/5 | Eigenmonzos: 2, 7/6, 6/5 | ||
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[|1 0 0 0>, |10/7 6/7 0 -3/7>, | [|1 0 0 0>, |10/7 6/7 0 -3/7>, | ||
|10/7 -1/7 1 -3/7>, |20/7 -2/7 0 1/7>] | |10/7 -1/7 1 -3/7>, |20/7 -2/7 0 1/7><nowiki>]</nowiki> | ||
Eigenmonzos: 2, 6/5, 9/7 | Eigenmonzos: 2, 6/5, 9/7 | ||
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7-limit: [|1 0 0 0>, |25/13 6/13 -6/13 0>, | 7-limit: [|1 0 0 0>, |25/13 6/13 -6/13 0>, | ||
|25/13 -7/13 7/13 0>, |35/13 -2/13 2/13 0>] | |25/13 -7/13 7/13 0>, |35/13 -2/13 2/13 0><nowiki>]</nowiki> | ||
[[Eigenmonzo|Eigenmonzos]]: 2, 6/5 | [[Eigenmonzo|Eigenmonzos]]: 2, 6/5 | ||
9-limit: [|1 0 0 0>, |25/19 12/19 -6/19 0>, | 9-limit: [|1 0 0 0>, |25/19 12/19 -6/19 0>, | ||
|50/19 -14/19 7/19 0>, |55/19 -4/19 2/19 0>] | |50/19 -14/19 7/19 0>, |55/19 -4/19 2/19 0><nowiki>]</nowiki> | ||
[[Eigenmonzo|Eigenmonzos]]: 2, 10/9 | [[Eigenmonzo|Eigenmonzos]]: 2, 10/9 | ||
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[|1 0 0 0 0>, |25/19 12/19 -6/19 0 0>, | [|1 0 0 0 0>, |25/19 12/19 -6/19 0 0>, | ||
|50/19 -14/19 7/19 0 0>, |55/19 -4/19 2/19 0 0>, | |50/19 -14/19 7/19 0 0>, |55/19 -4/19 2/19 0 0>, | ||
|53/19 30/19 -15/19 0 0>] | |53/19 30/19 -15/19 0 0><nowiki>]</nowiki> | ||
[[Eigenmonzo|Eigenmonzos]]: 2, 10/9 | [[Eigenmonzo|Eigenmonzos]]: 2, 10/9 | ||
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7+9 limit minimax tuning: [|1 0 0 0>, |5/3 0 1/6 -1/6>, | 7+9 limit minimax tuning: [|1 0 0 0>, |5/3 0 1/6 -1/6>, | ||
|25/9 0 17/18 -17/18>, |25/9 0 -1/18 1/18>] | |25/9 0 17/18 -17/18>, |25/9 0 -1/18 1/18><nowiki>]</nowiki> | ||
[[Eigenmonzo|Eigenmonzos]]: 2, 7/5 | [[Eigenmonzo|Eigenmonzos]]: 2, 7/5 | ||
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[[Minimax_tuning|Minimax tuning]]: [|1 0 0 0 0>, |31/19 6/19 0 0 -3/19>, | [[Minimax_tuning|Minimax tuning]]: [|1 0 0 0 0>, |31/19 6/19 0 0 -3/19>, | ||
|49/19 34/19 0 0 -17/19>, |53/19 -2/19 0 0 1/19>, | |49/19 34/19 0 0 -17/19>, |53/19 -2/19 0 0 1/19>, | ||
|62/19 -26/19 0 0 13/19>] | |62/19 -26/19 0 0 13/19><nowiki>]</nowiki> | ||
[[Eigenmonzo|Eigenmonzos]]: 2, 11/9 | [[Eigenmonzo|Eigenmonzos]]: 2, 11/9 | ||
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[|1 0 0 0 0 0>, |23/14 3/14 0 0 0 -3/28>, | [|1 0 0 0 0 0>, |23/14 3/14 0 0 0 -3/28>, | ||
|37/14 17/14 0 0 0 -17/28>, |39/14 -1/14 0 0 0 1/28>, | |37/14 17/14 0 0 0 -17/28>, |39/14 -1/14 0 0 0 1/28>, | ||
|45/14 -13/14 0 0 0 13/28>, |23/7 -11/7 0 0 0 11/14>] | |45/14 -13/14 0 0 0 13/28>, |23/7 -11/7 0 0 0 11/14><nowiki>]</nowiki> | ||
Eigenmonzos: 2, 13/9 | Eigenmonzos: 2, 13/9 | ||
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7-limit: [|1 0 0 0>, |5/2 3/4 0 -3/4>, | 7-limit: [|1 0 0 0>, |5/2 3/4 0 -3/4>, | ||
|17/6 5/12 0 -5/12>, [5/2 -1/4 0 1/4>] | |17/6 5/12 0 -5/12>, [5/2 -1/4 0 1/4><nowiki>]</nowiki> | ||
Eigenmonzos: 2, 7/6 | Eigenmonzos: 2, 7/6 | ||
9-limit: [|1 0 0 0>, |10/7 6/7 0 -3/7>, | 9-limit: [|1 0 0 0>, |10/7 6/7 0 -3/7>, | ||
|47/21 10/21 0 -5/21>, |20/7 -2/7 0 1/7>] | |47/21 10/21 0 -5/21>, |20/7 -2/7 0 1/7><nowiki>]</nowiki> | ||
Eigenmonzos: 2, 9/7 | Eigenmonzos: 2, 9/7 | ||
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[|1 0 0 0 0>, |1 0 0 -9/10 9/10>, | [|1 0 0 0 0>, |1 0 0 -9/10 9/10>, | ||
|2 0 0 -1/2 1/2>, |3 0 0 3/10 -3/10>, |3 0 0 -7/10 7/10>] | |2 0 0 -1/2 1/2>, |3 0 0 3/10 -3/10>, |3 0 0 -7/10 7/10><nowiki>]</nowiki> | ||
Eigenmonzos: 2, 11/7 | Eigenmonzos: 2, 11/7 | ||
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7-limit: [|1 0 0 0>, |47/26 0 6/13 -6/13>, | 7-limit: [|1 0 0 0>, |47/26 0 6/13 -6/13>, | ||
|71/26 0 11/13 -11/13>, |71/26 0 -2/13 2/13>] | |71/26 0 11/13 -11/13>, |71/26 0 -2/13 2/13><nowiki>]</nowiki> | ||
[[Eigenmonzo|Eigenmonzos]]: 2, 7/5 | [[Eigenmonzo|Eigenmonzos]]: 2, 7/5 | ||
9-limit: [|1 0 0 0>, |10/7 6/7 0 -3/7>, | 9-limit: [|1 0 0 0>, |10/7 6/7 0 -3/7>, | ||
|57/28 11/7 0 -11/14>, |20/7 -2/7 0 1/7>] | |57/28 11/7 0 -11/14>, |20/7 -2/7 0 1/7><nowiki>]</nowiki> | ||
[[Eigenmonzo|Eigenmonzos]]: 2, 9/7 | [[Eigenmonzo|Eigenmonzos]]: 2, 9/7 | ||
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[|1 0 0 0 0>, |10/7 6/7 0 -3/7 0>, |57/28 11/7 0 -11/14 0>, | [|1 0 0 0 0>, |10/7 6/7 0 -3/7 0>, |57/28 11/7 0 -11/14 0>, | ||
|20/7 -2/7 0 1/7 0>, |99/28 -3/7 0 3/14 0>] | |20/7 -2/7 0 1/7 0>, |99/28 -3/7 0 3/14 0><nowiki>]</nowiki> | ||
[[Eigenmonzo|Eigenmonzos]]: 2, 9/7 | [[Eigenmonzo|Eigenmonzos]]: 2, 9/7 | ||
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7-limit: [|1 0 0 0>, |5/2 3/4 0 -3/4>, | 7-limit: [|1 0 0 0>, |5/2 3/4 0 -3/4>, | ||
|11/5 -1/10 0 1/10>, |5/2 -1/4 0 1/4>] | |11/5 -1/10 0 1/10>, |5/2 -1/4 0 1/4><nowiki>]</nowiki> | ||
[[Eigenmonzo|Eigenmonzos]]: 2, 7/6 | [[Eigenmonzo|Eigenmonzos]]: 2, 7/6 | ||
9-limit: [|1 0 0 0>, |10/7 6/7 0 -3/7>, | 9-limit: [|1 0 0 0>, |10/7 6/7 0 -3/7>, | ||
|82/35 -4/35 0 2/35>, |20/7 -2/7 0 1/7>] | |82/35 -4/35 0 2/35>, |20/7 -2/7 0 1/7><nowiki>]</nowiki> | ||
[[Eigenmonzo|Eigenmonzos]]: 2, 7/6 | [[Eigenmonzo|Eigenmonzos]]: 2, 7/6 | ||
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[|1 0 0 0 0>, |11/9 0 0 -5/9 5/9>, |64/27 0 0 2/27 -2/27>, | [|1 0 0 0 0>, |11/9 0 0 -5/9 5/9>, |64/27 0 0 2/27 -2/27>, | ||
|79/27 0 0 5/27 -5/27>, |79/27 0 0 -22/27 22/27>] | |79/27 0 0 5/27 -5/27>, |79/27 0 0 -22/27 22/27><nowiki>]</nowiki> | ||
[[Eigenmonzo|Eigenmonzos]]: 2, 11/7 | [[Eigenmonzo|Eigenmonzos]]: 2, 11/7 | ||
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7-limit: [|1 0 0 0>, |2 0 6/7 -6/7>, | 7-limit: [|1 0 0 0>, |2 0 6/7 -6/7>, | ||
|8/3 0 5/7 -5/7>, |8/3 0 -2/7 2/7>] | |8/3 0 5/7 -5/7>, |8/3 0 -2/7 2/7><nowiki>]</nowiki> | ||
[[Eigenmonzo|Eigenmonzos]]: 2, 7/5 | [[Eigenmonzo|Eigenmonzos]]: 2, 7/5 | ||
9-limit: [|1 0 0 0>, |10/7 6/7 0 -3/7>, | 9-limit: [|1 0 0 0>, |10/7 6/7 0 -3/7>, | ||
|46/21 5/7 0 -5/14>, |20/7 -2/7 0 1/7>] | |46/21 5/7 0 -5/14>, |20/7 -2/7 0 1/7><nowiki>]</nowiki> | ||
[[Eigenmonzo|Eigenmonzos]]: 2, 9/7 | [[Eigenmonzo|Eigenmonzos]]: 2, 9/7 | ||
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[|1 0 0 0 0>, |10/7 6/7 0 -3/7 0>, |46/21 5/7 0 -5/14 0>, | [|1 0 0 0 0>, |10/7 6/7 0 -3/7 0>, |46/21 5/7 0 -5/14 0>, | ||
|20/7 -2/7 0 1/7 0>, |71/21 3/7 0 -3/14 0>] | |20/7 -2/7 0 1/7 0>, |71/21 3/7 0 -3/14 0><nowiki>]</nowiki> | ||
[[Eigenmonzo|Eigenmonzos]]: 2, 9/7 | [[Eigenmonzo|Eigenmonzos]]: 2, 9/7 | ||
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Badness: 0.0353 | Badness: 0.0353 | ||
= Restles = | |||
Commas: 1029/1024, 153664/151875 | |||
POTE generator: 358.5485 | |||
Map: [<1 -2 8 4|, <0 12 -19 -4|] | |||
EDOs: 10, 67, 77, 87, 164 | |||
Badness: 0.1080 | |||
== 11-limit == | |||
Commas: 385/384, 441/440, 132055/131072 | |||
POTE generator: 358.5713 | |||
Map: [<1 -2 8 4 -7|, <0 12 -19 -4 35|] | |||
EDOs: 10, 77, 87, 164 | |||
Badness: 0.0547 | |||
== 13-limit == | |||
Commas: 196/195, 352/351, 385/384, 676/675 | |||
POTE generator: 358.5739 | |||
Map: [<1 -2 8 4 -7 4|, <0 12 -19 -4 35 -1|] | |||
EDOs: 10, 77, 87, 164 | |||
Badness: 0.0282 | |||
[[Category:Theory]] | [[Category:Theory]] | ||
[[Category:Gamelismic]] | [[Category:Gamelismic]] | ||