Quintosec family: Difference between revisions

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== Septimal qintosec ==
== Septimal qintosec ==
The qintosec temperament can be described as 10&65d temperament, tempering out the [[marvel comma]], 225/224 in the 7-limit.
The qintosec temperament can be described as 10&65d temperament, tempering out the [[marvel comma]], 225/224 in the 7-limit.


Subgroup: 2.3.5.7
Subgroup: 2.3.5.7
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POTE generator: ~15/14 = 111.311
POTE generator: ~15/14 = 111.311


Vals: {{Val list| 10, 55d, 65d, 140de, 205dde }}
Optimal GPV sequence: {{Val list| 10, 55d, 65d, 140de, 205dde }}


Badness: 0.077907
Badness: 0.077907
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POTE generator: ~15/14 = 112.448
POTE generator: ~15/14 = 112.448


Vals: {{Val list| 10, 75, 160cde }}
Optimal GPV sequence: {{Val list| 10, 75, 160cde }}


Badness: 0.127732
Badness: 0.127732
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== Sengasec ==
== Sengasec ==
The ''sengasec'' temperament (10&55) tempers out the [[cloudy comma]], 16807/16384 and the sengic comma, 686/675 in the 7-limit.
The ''sengasec'' temperament (10&55) tempers out the [[cloudy comma]], 16807/16384 and the sengic comma, 686/675 in the 7-limit.


Subgroup: 2.3.5.7
Subgroup: 2.3.5.7
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POTE generator: ~16/15 = 110.659
POTE generator: ~16/15 = 110.659


Vals: {{Val list| 10, 55, 65 }}
Optimal GPV sequence: {{Val list| 10, 55, 65 }}


Badness: 0.081607
Badness: 0.081607
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POTE generator: ~16/15 = 110.910
POTE generator: ~16/15 = 110.910


Vals: {{Val list| 10, 55, 65 }}
Optimal GPV sequence: {{Val list| 10, 55, 65 }}


Badness: 0.056390
Badness: 0.056390
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POTE generator: ~16/15 = 111.070
POTE generator: ~16/15 = 111.070


Vals: {{Val list| 10e, 130, 270, 670, 940, 1210, 2150c }}
Optimal GPV sequence: {{Val list| 10e, 130, 270, 670, 940, 1210, 2150c }}


Badness: 0.018735
Badness: 0.018735
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POTE generator: ~16/15 = 111.083
POTE generator: ~16/15 = 111.083


Vals: {{Val list| 10e, 130, 270, 940, 1210f, 1480cf }}
Optimal GPV sequence: {{Val list| 10e, 130, 270, 940, 1210f, 1480cf }}


Badness: 0.013475
Badness: 0.013475