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Kleismic family: Difference between revisions

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[[Tuning ranges]]:  
[[Tuning ranges]]:  
* [[Diamond monotone]] range: [300.000, 327.273] (1\4 to 3\11)
* 5-odd-limit [[diamond monotone]]: ~6/5 = [300.000, 327.273] (1\4 to 3\11)
* [[Diamond tradeoff]] range: [315.641, 317.263]
* 5-odd-limit [[diamond tradeoff]]: ~6/5 = [315.641, 317.263]
* Diamond monotone and tradeoff: [315.641, 317.263]
* 5-odd-limit diamond monotone and tradeoff: ~6/5 = [315.641, 317.263]


{{Val list|legend=1| 15, 19, 34, 53, 458, 511c, …, 882c }}
{{Val list|legend=1| 15, 19, 34, 53, 458, 511c, …, 882c }}
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[[Tuning ranges]]:  
[[Tuning ranges]]:  
* [[Diamond monotone]] range: [300.000, 327.273] (1\4 to 3\11)
* 7-odd-limit [[diamond monotone]]: ~6/5 = [300.000, 327.273] (1\4 to 3\11)
* [[Diamond tradeoff]] range: [308.744, 322.942]
* 9-odd-limit [[diamond monotone]]: ~6/5 = [315.789, 320.000] (5\19 to 4\15)
* Diamond monotone and tradeoff: [308.744, 322.942]
* 7- and 9-odd-limit [[diamond tradeoff]]: ~6/5 = [308.744, 322.942]
* 7-odd-limit diamond monotone and tradeoff: ~6/5 = [308.744, 322.942]
* 9-odd-limit diamond monotone and tradeoff: ~6/5 = [315.789, 320.000]


{{Val list|legend=1| 15, 19, 53d, 72dd, 91dd }}
{{Val list|legend=1| 15, 19, 53d, 72dd, 91dd }}
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Tuning ranges:  
Tuning ranges:  
* Diamond monotone range: [315.789, 320.000] (5\19 to 4\15)
* 11-odd-limit diamond monotone: ~6/5 = [315.789, 320.000] (5\19 to 4\15)
* Diamond tradeoff range: [308.744, 324.341]
* 11-odd-limit diamond tradeoff: ~6/5 = [308.744, 324.341]
* Diamond monotone and tradeoff: [315.789, 320.000]
* 11-odd-limit diamond monotone and tradeoff: ~6/5 = [315.789, 320.000]


Vals: {{Val list| 4, 15, 19, 34 }}
Vals: {{Val list| 4, 15, 19, 34 }}
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Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Comma list: 49/48, 56/55, 78/77, 100/99
Comma list: 49/48, 56/55, 65/64, 100/99


Mapping: [{{val| 1 0 1 2 4 5 }}, {{val| 0 6 5 3 -2 -5 }}]
Mapping: [{{val| 1 0 1 2 4 5 }}, {{val| 0 6 5 3 -2 -5 }}]
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Tuning ranges:  
Tuning ranges:  
* Diamond monotone range: 315.789 (5\19)
* 13- and 15-odd-limit diamond monotone: ~6/5 = 315.789 (5\19)
* Diamond tradeoff range: [303.597, 324.341]
* 13- and 15-odd-limit diamond tradeoff: ~6/5 = [303.597, 324.341]
* Diamond monotone and tradeoff: 315.789
* 13- and 15-odd-limit diamond monotone and tradeoff: ~6/5 = 315.789


Vals: {{Val list| 4, 15f, 19, 53def, 72def }}
Vals: {{Val list| 4, 15f, 19, 53def, 72def }}
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Tuning ranges:  
Tuning ranges:  
* Diamond monotone range: [315.789, 320.000] (5\19 to 4\15)
* 13-odd-limit diamond monotone: ~6/5 = [315.789, 320.000] (5\19 to 4\15)
* Diamond tradeoff range: [308.744, 324.341]
* 15-odd-limit diamond monotone: ~6/5 = 315.789 (5\19)
* Diamond monotone and tradeoff: [315.789, 320.000]
* 13- and 15-odd-limit diamond tradeoff: ~6/5 = [308.744, 324.341]
* 13-odd-limit diamond monotone and tradeoff: ~6/5 = [315.789, 320.000]
* 15-odd-limit diamond monotone and tradeoff: ~6/5 = 315.789


Vals: {{Val list| 15, 19, 34, 87ddee }}
Vals: {{Val list| 15, 19, 34, 87ddee }}
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[[POTE generator]]: ~6/5 = 318.267
[[POTE generator]]: ~6/5 = 318.267
[[Tuning ranges]]:
* 7- and 9-odd-limit [[diamond monotone]]: ~6/5 = [317.647, 320.000] (9\34 to 4\15)
* 7- and 9-odd-limit [[diamond tradeoff]]: ~6/5 = [315.641, 319.265]
* 7- and 9-odd-limit diamond monotone and tradeoff: ~6/5 = [317.647, 319.265]


{{Val list|legend=1| 15, 34d, 49, 132bcd }}
{{Val list|legend=1| 15, 34d, 49, 132bcd }}
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POTE generator: ~6/5 = 318.282
POTE generator: ~6/5 = 318.282
Tuning ranges:
* 11-odd-limit diamond monotone: ~6/5 = [317.647, 320.000] (9\34 to 4\15)
* 11-odd-limit diamond tradeoff: ~6/5 = [315.641, 324.341]
* 11-odd-limit diamond monotone and tradeoff: ~6/5 = [317.647, 320.000]


Vals: {{Val list| 15, 34d, 49 }}
Vals: {{Val list| 15, 34d, 49 }}
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[[Tuning ranges]]:  
[[Tuning ranges]]:  
* [[Diamond monotone]] range: [315.789, 317.647] (5\19 to 9\34)
* 7- and 9-odd-limit [[diamond monotone]]: ~6/5 = [315.789, 317.647] (5\19 to 9\34)
* [[Diamond tradeoff]] range: [315.641, 317.263]
* 7- and 9-odd-limit [[diamond tradeoff]]: ~6/5 = [315.641, 317.263]
* Diamond monotone and tradeoff: [315.789, 317.263]
* 7- and 9-odd-limit diamond monotone and tradeoff: ~6/5 = [315.789, 317.263]


{{Val list|legend=1| 19, 34d, 53, 72, 197, 269c }}
{{Val list|legend=1| 19, 34d, 53, 72, 197, 269c }}
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Tuning ranges:  
Tuning ranges:  
* Diamond monotone range: [315.789, 316.981] (5\19 to 14\53)
* 11-odd-limit diamond monotone range: ~6/5 = [315.789, 316.981] (5\19 to 14\53)
* Diamond tradeoff range: [315.641, 317.263]
* 11-odd-limit diamond tradeoff range: ~6/5 = [315.641, 317.263]
* Diamond monotone and tradeoff: [315.789, 316.981]
* 11-odd-limit diamond monotone and tradeoff: ~6/5 = [315.789, 316.981]


Vals: {{Val list| 19, 34de, 53, 72, 197e, 269ce, 341ce, 610bccee }}
Vals: {{Val list| 19, 34de, 53, 72, 197e, 269ce, 341ce, 610bccee }}
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Tuning ranges:  
Tuning ranges:  
* Diamond monotone range: [315.789, 316.981] (5\19 to 14\53)
* 13- and 15-odd-limit diamond monotone: ~6/5 = [315.789, 316.981] (5\19 to 14\53)
* Diamond tradeoff range: [315.641, 318.309]
* 13- and 15-odd-limit diamond tradeoff: ~6/5 = [315.641, 318.309]
* Diamond monotone and tradeoff: [315.789, 316.981]
* 13- and 15-odd-limit diamond monotone and tradeoff: ~6/5 = [315.789, 316.981]


Vals: {{Val list| 19, 34de, 53, 72, 125f, 197ef, 269cef }}
Vals: {{Val list| 19, 34de, 53, 72, 125f, 197ef, 269cef }}
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