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| == Rank-3 temperaments == | | == Rank-3 temperaments == |
| Notable rank-3 temperaments of island include greenland, history, borneo, sumatra, madagascar, baffin, and kujuku, all shown below. | | Notable rank-3 temperaments of island include: |
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| === Greenland ===
| | * [[Greenland]] → [[Breed family #Greenland|Breed family]] |
| {{See also| Breed family #Greenland }}
| | : +1001/1000, 1716/1715 |
| | | * [[History (temperament)|History]] → [[Werckismic temperaments #History|Werckismic temperaments]] |
| Subgroup: 2.3.5.7.11.13
| | : +364/363, 441/440 |
| | | * [[Borneo]] → [[Lehmerismic temperaments #Borneo|Lehmerismic temperaments]] |
| [[Comma list]]: 676/675, 1001/1000, 1716/1715
| | : +1001/1000, 3025/3024 |
| | | * [[Enlil|Enlil aka sumatra]] → [[Kleismic rank three family #Enlil|Kleismic rank-3 family]] |
| [[Mapping]]: [{{val| 2 0 1 3 7 -1 }}, {{val| 0 2 1 1 -2 4 }}, {{val| 0 0 2 1 3 2 }}] | | : +325/324, 385/384 |
| | | * [[Madagascar]] → [[Cataharry family #Madagascar|Cataharry family]] |
| {{Val list|legend=1| 58, 72, 130, 198, 270, 940, 1210f }}
| | : +351/350, 540/539 |
| | | * [[Baffin]] → [[Olympic clan #Baffin|Olympic clan]] |
| [[Badness]]: 0.433 × 10<sup>-3</sup>
| | : +1001/1000, 4096/4095 |
| | | * [[Kujuku]] → [[Pentacircle clan #Kujuku|Pentacircle clan]] |
| [[Complexity spectrum]]: 15/13, 7/5, 8/7, 7/6, 4/3, 15/14, 5/4, 18/13, 13/12, 14/13, 13/10, 6/5, 16/15, 11/10, 9/7, 9/8, 16/13, 10/9, 14/11, 11/8, 15/11, 12/11, 13/11, 11/9 | | : +352/351, 364/363 |
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| === History ===
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| {{See also| Werckismic temperaments #History }}
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| Subgroup: 2.3.5.7.11.13
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| [[Comma list]]: 364/363, 441/440, 676/675
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| [[Mapping]]: [{{val| 1 2 0 0 1 2 }}, {{val| 0 -6 0 7 2 -9 }}, {{val| 0 0 1 1 1 1 }}] | |
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| {{Val list|legend=1| 14cf, 15, 29, 43, 58, 72, 87, 130, 217, 289 }}
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| [[Badness]]: 0.540 × 10<sup>-3</sup> | |
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| [[Complexity spectrum]]: 11/10, 15/13, 14/11, 4/3, 7/5, 5/4, 11/8, 18/13, 15/11, 13/12, 13/10, 6/5, 8/7, 16/15, 12/11, 13/11, 9/8, 16/13, 15/14, 10/9, 7/6, 11/9, 14/13, 9/7
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| === Borneo ===
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| {{See also| Lehmerismic temperaments #Borneo }}
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| Subgroup: 2.3.5.7.11.13
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| [[Comma list]]: 676/675, 1001/1000, 3025/3024
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| [[Mapping]]: [{{val| 3 0 0 4 8 -3 }}, {{val| 0 2 0 -4 1 3 }}, {{val| 0 0 1 2 0 1 }}] | |
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| {{Val list|legend=1| 15, 24d, 33cdff, 39df, 57f, 72, 111, 159, 183, 198, 270 }}
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| [[Badness]]: 0.549 × 10<sup>-3</sup>
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| [[Complexity spectrum]]: 12/11, 15/13, 11/8, 4/3, 11/10, 18/13, 6/5, 5/4, 13/12, 15/11, 11/9, 13/10, 10/9, 7/5, 16/15, 13/11, 9/8, 16/13, 8/7, 14/11, 15/14, 7/6, 14/13, 9/7 | |
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| === Sumatra ===
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| {{See also| Kleismic rank three family #13-limit (aka sumatra) }}
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| Subgroup: 2.3.5.7.11.13
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| [[Comma list]]: 325/324, 385/384, 625/624
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| [[Mapping]]: [{{val| 1 0 1 0 6 0 }}, {{val| 0 6 5 0 1 14 }}, {{val| 0 0 0 1 -1 0 }}] | |
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| {{Val list|legend=1| 15, 19, 34, 53, 72, 87, 125f, 140, 159, 212, 299 }}
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| [[Badness]]: 0.680 × 10<sup>-3</sup> | |
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| === Madagascar ===
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| {{See also| Cataharry family #Madagascar }}
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| Subgroup: 2.3.5.7.11.13
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| [[Comma list]]: 351/350, 540/539, 676/675
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| [[Mapping]]: [{{val| 1 0 0 -2 6 -1 }}, {{val| 0 2 0 9 -12 3 }}, {{val| 0 0 1 -1 3 1 }}] | |
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| {{Val list|legend=1| 19, 33cdff, 39df, 53, 58, 72, 111, 130, 183, 313 }}
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| [[Badness]]: 0.560 × 10<sup>-3</sup>
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| [[Complexity spectrum]]: 15/13, 4/3, 13/10, 10/9, 6/5, 9/7, 18/13, 9/8, 5/4, 7/6, 13/12, 15/14, 16/15, 14/13, 8/7, 7/5, 16/13, 11/10, 15/11, 11/8, 12/11, 13/11, 11/9, 14/11
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| Scales: [[madagascar19]]
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| === Baffin ===
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| Subgroup: 2.3.5.7.11.13
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| [[Comma list]]: 676/675, 1001/1000, 4096/4095
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| [[Mapping]]: [{{val| 1 0 0 13 -9 1 }}, {{val| 0 2 0 -7 4 3 }}, {{val| 0 0 1 -2 4 1 }}] | |
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| {{Val list|legend=1| 34, 43, 53, 87, 130, 183, 217, 270, 940, 1210f }}
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| [[Badness]]: 0.604 × 10<sup>-3</sup>
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| [[Complexity spectrum]]: 15/13, 16/15, 13/12, 4/3, 16/13, 5/4, 18/13, 13/10, 6/5, 9/8, 11/10, 8/7, 7/5, 15/11, 10/9, 13/11, 15/14, 11/8, 7/6, 14/13, 12/11, 9/7, 11/9, 14/11
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| === Kujuku ===
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| Subgroup: 2.3.5.7.11.13
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| [[Comma list]]: 352/351, 364/363, 676/675
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| [[Mapping]]: [{{val| 1 0 0 -13 -6 -1 }}, {{val| 0 2 0 17 9 3 }}, {{val| 0 0 1 1 1 1 }}]
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| {{Val list|legend=1| 24, 29, 58, 87, 121, 145, 208, 266ef, 474bef }}
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| [[Badness]]: 1.060 × 10<sup>-3</sup>
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| [[Complexity spectrum]]: 15/13, 4/3, 13/10, 9/8, 13/11, 15/11, 12/11, 11/9, 11/8, 14/11, 16/13, 16/15, 11/10, 13/12, 9/7, 5/4, 18/13, 7/6, 6/5, 8/7, 10/9, 14/13, 15/14, 7/5
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| == Rank-2 temperaments == | | == Rank-2 temperaments == |