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 | ||
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 | ||
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 | ||
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 | ||
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 | ||
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 | ||
Optimal GPV sequence: {{Val list| 10e, 130, 270, 940, 1210f, 1480cf }} | |||
Badness: 0.013475 | Badness: 0.013475 |