Quintosec family: Difference between revisions
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The qintosec family tempers out the qintosec comma, 140737488355328/140126044921875 = |47 -15 -10>. | The '''qintosec family''' tempers out the [[qintosec comma]], 140737488355328/140126044921875 = |47 -15 -10>. | ||
== Qintosec == | |||
Comma: 140737488355328/140126044921875 | Comma: 140737488355328/140126044921875 | ||
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Map: [<5 1 22|, <0 2 -3|] | Map: [<5 1 22|, <0 2 -3|] | ||
EDOs: | EDOs: {{EDOs| 10, 55, 65, 75, 140, 205, 270, 335, 400, 530, 605, 875, 940, 1145, 1415 }} | ||
Badness: 0.1392 | Badness: 0.1392 | ||
==7-limit== | === 7-limit === | ||
Commas: 225/224, 2560000/2470629 | Commas: 225/224, 2560000/2470629 | ||
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Map: [<5 1 22 21|, <0 2 -3 -2|] | Map: [<5 1 22 21|, <0 2 -3 -2|] | ||
EDOs: 10, 55d, 65d, 75, 140d | EDOs: {{EDOs| 10, 55d, 65d, 75, 140d }} | ||
Badness: 0.1568 | Badness: 0.1568 | ||
= | == Decoid == | ||
{{See also|Breedsmic temperaments #Decoid}} | |||
Commas: 2401/2400, 67108864/66976875 | Commas: 2401/2400, 67108864/66976875 | ||
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Map: [<10 0 47 36|, <0 2 -3 -1|] | Map: [<10 0 47 36|, <0 2 -3 -1|] | ||
EDOs: 10, | EDOs: {{EDOs| 10, 130, 140, 270, 400, 410, 530, 550 }} | ||
Badness: 0.0339 | Badness: 0.0339 | ||
==11-limit== | === 11-limit === | ||
Commas: 2401/2400, 5632/5625, 9801/9800 | Commas: 2401/2400, 5632/5625, 9801/9800 | ||
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Map: [<10 0 47 36 98|, <0 2 -3 -1 -8|] | Map: [<10 0 47 36 98|, <0 2 -3 -1 -8|] | ||
EDOs: 10e, 130, 140, 270, 400, 410, 530e | EDOs: {{EDOs| 10e, 130, 140, 270, 400, 410, 530e }} | ||
Badness: 0.0187 | Badness: 0.0187 | ||
==13-limit== | === 13-limit === | ||
Commas: 676/675, 1001/1000, 1716/1715, 4096/4095 | Commas: 676/675, 1001/1000, 1716/1715, 4096/4095 | ||
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Map: [<10 0 47 36 98 37|, <0 2 -3 -1 -8 0|] | Map: [<10 0 47 36 98 37|, <0 2 -3 -1 -8 0|] | ||
EDOs: 10e, 130, 140, 270, 400, 410, 530e | EDOs: {{EDOs| 10e, 130, 140, 270, 400, 410, 530e }} | ||
Badness: 0.0135 | Badness: 0.0135 | ||
[[Category:Theory]] | |||
[[Category:Temperament family]] | |||
[[Category:Qintosec]] | |||
Revision as of 20:09, 13 October 2020
The qintosec family tempers out the qintosec comma, 140737488355328/140126044921875 = |47 -15 -10>.
Qintosec
Comma: 140737488355328/140126044921875
POTE generator: ~16/15 = 111.105
Map: [<5 1 22|, <0 2 -3|]
EDOs: 10, 55, 65, 75, 140, 205, 270, 335, 400, 530, 605, 875, 940, 1145, 1415
Badness: 0.1392
7-limit
Commas: 225/224, 2560000/2470629
POTE generator: ~16/15 = 111.553
Map: [<5 1 22 21|, <0 2 -3 -2|]
Badness: 0.1568
Decoid
Commas: 2401/2400, 67108864/66976875
POTE generator: ~16/15 = 111.099
Map: [<10 0 47 36|, <0 2 -3 -1|]
EDOs: 10, 130, 140, 270, 400, 410, 530, 550
Badness: 0.0339
11-limit
Commas: 2401/2400, 5632/5625, 9801/9800
POTE generator: ~16/15 = 111.070
Map: [<10 0 47 36 98|, <0 2 -3 -1 -8|]
EDOs: 10e, 130, 140, 270, 400, 410, 530e
Badness: 0.0187
13-limit
Commas: 676/675, 1001/1000, 1716/1715, 4096/4095
POTE generator: ~16/15 = 111.083
Map: [<10 0 47 36 98 37|, <0 2 -3 -1 -8 0|]
EDOs: 10e, 130, 140, 270, 400, 410, 530e
Badness: 0.0135