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Diaschismic family: Difference between revisions

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[[Tuning ranges]]:  
[[Tuning ranges]]:  
* [[Diamond monotone]] range: ~3/2 = [600.000 to 720.000] (1\2 to 6\10)
* 5-odd-limit [[diamond monotone]]: ~3/2 = [600.000 to 720.000] (1\2 to 6\10)
* [[Diamond tradeoff]] range: ~3/2 = [701.955, 706.843]
* 5-odd-limit [[diamond tradeoff]]: ~3/2 = [701.955, 706.843]
* Diamond monotone and tradeoff: ~3/2 = [701.955, 706.843]
* 5-odd-limit diamond monotone and tradeoff: ~3/2 = [701.955, 706.843]


{{Val list|legend=1| 10, 12, 22, 34, 46, 80, 206c, 286bc }}
{{Val list|legend=1| 10, 12, 22, 34, 46, 80, 206c, 286bc }}
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[[Tuning ranges]]:  
[[Tuning ranges]]:  
* [[Diamond monotone]] range: ~3/2 = [703.448, 705.882] (34\58 to 20\34)
* 7- and 9-odd-limit [[diamond monotone]]: ~3/2 = [703.448, 705.882] (34\58 to 20\34)
* [[Diamond tradeoff]] range: ~3/2 = [701.955, 706.843]
* 7- and 9-odd-limit [[diamond tradeoff]]: ~3/2 = [701.955, 706.843]
* Diamond monotone and tradeoff: ~3/2 = [703.448, 705.882]
* 7- and 9-odd-limit diamond monotone and tradeoff: ~3/2 = [703.448, 705.882]


{{Val list|legend=1| 34d, 46, 80, 126, 206cd, 332bcd }}
{{Val list|legend=1| 34d, 46, 80, 126, 206cd, 332bcd }}
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Tuning ranges:  
Tuning ranges:  
* Diamond monotone range: ~3/2 = [704.348, 705.882] (27\46 to 20\34)
* 11-odd-limit diamond monotone: ~3/2 = [704.348, 705.882] (27\46 to 20\34)
* Diamond tradeoff range: ~3/2 = [701.955, 706.843]
* 11-odd-limit diamond tradeoff: ~3/2 = [701.955, 706.843]
* Diamond monotone and tradeoff: ~3/2 = [704.348, 705.882]
* 11-odd-limit diamond monotone and tradeoff: ~3/2 = [704.348, 705.882]


Vals: {{Val list| 34d, 46, 80, 126, 206cd }}
Vals: {{Val list| 34d, 46, 80, 126, 206cd }}
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Tuning ranges:  
Tuning ranges:  
* Diamond monotone range: ~3/2 = [704.348, 705.882] (27\46 to 20\34)
* 13- and 15-odd-limit diamond monotone: ~3/2 = [704.348, 705.882] (27\46 to 20\34)
* Diamond tradeoff range: ~3/2 = [701.955, 706.843]
* 13-odd-limit diamond tradeoff: ~3/2 = [701.955, 706.843]
* Diamond monotone and tradeoff: ~3/2 = [704.348, 705.882]
* 15-odd-limit diamond tradeoff: ~3/2 = [701.955, 711.731]
* 13- and 15-odd-limit diamond monotone and tradeoff: ~3/2 = [704.348, 705.882]


Vals: {{Val list| 34d, 46, 80, 206cd, 286bcde }}
Vals: {{Val list| 34d, 46, 80, 206cd, 286bcde }}


Badness: 0.025286
Badness: 0.025286
=== 17-limit ===
Subgroup: 2.3.5.7.11.13.17
Comma list: 136/135, 169/168, 176/175, 221/220, 256/255
Mapping: [{{val| 2 0 11 -42 -28 -18 5 }}, {{val| 0 1 -2 15 11 8 1 }}]
POTE generator: ~3/2 = 704.840
Tuning ranges:
* 17-odd-limit diamond monotone: ~3/2 = [704.348, 705.882] (27\46 to 20\34)
* 17-odd-limit diamond tradeoff: ~3/2 = [698.955, 711.731]
* 17-odd-limit diamond monotone and tradeoff: ~3/2 = [704.348, 705.882]
Vals: {{Val list| 34d, 46, 80, 126, 206cd }}
Badness: 0.018594


== Pajara ==
== Pajara ==
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[[Tuning ranges]]:
[[Tuning ranges]]:
* [[Diamond monotone]] range: ~3/2 = [700.000, 720.000] (7\12 to 6\10)
* 7- and 9-odd-limit [[diamond monotone]]: ~3/2 = [700.000, 720.000] (7\12 to 6\10)
* [[Diamond tradeoff]] range: ~3/2 = [701.955, 715.587]
* 7- and 9-odd-limit [[diamond tradeoff]]: ~3/2 = [701.955, 715.587]
* Diamond monotone and tradeoff: ~3/2 = [701.955, 715.587]
* 7- and 9-odd-limit diamond monotone and tradeoff: ~3/2 = [701.955, 715.587]


{{Val list|legend=1| 10, 12, 22, 34d, 56d }}
{{Val list|legend=1| 10, 12, 22, 34d, 56d }}
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Tuning ranges:
Tuning ranges:
* Diamond monotone range: ~3/2 = [700.000, 709.091] (7\12 to 13\22)
* 11-odd-limit diamond monotone: ~3/2 = [700.000, 709.091] (7\12 to 13\22)
* Diamond tradeoff range: ~3/2 = [701.955, 715.587]
* 11-odd-limit diamond tradeoff: ~3/2 = [701.955, 715.587]
* Diamond monotone and tradeoff: ~3/2 = [701.955, 709.091]
* 11-odd-limit diamond monotone and tradeoff: ~3/2 = [701.955, 709.091]


Vals: {{Val list| 10e, 12, 22, 34d, 56d }}
Vals: {{Val list| 10e, 12, 22, 34d, 56d }}
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POTE generator: ~3/2 = 708.919
POTE generator: ~3/2 = 708.919
Tuning ranges:
* Diamond monotone range: ~3/2 = [700.000, 709.091] (7\12 to 13\22)
* Diamond tradeoff range: ~3/2 = [701.955, 738.573]
* Diamond monotone and tradeoff: ~3/2 = [701.955, 709.091]


Vals: {{Val list| 12, 22 }}
Vals: {{Val list| 12, 22 }}
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Tuning ranges:
Tuning ranges:
* Diamond monotone range: ~3/2 = 709.091 (13\22)
* 11-odd-limit diamond monotone: ~3/2 = 709.091 (13\22)
* Diamond tradeoff range: ~3/2 = [701.955, 715.803]
* 11-odd-limit diamond tradeoff: ~3/2 = [701.955, 715.803]
* Diamond monotone and tradeoff: ~3/2 = 709.091
* 11-odd-limit diamond monotone and tradeoff: ~3/2 = 709.091


Vals: {{Val list| 10, 12e, 22, 120bce, 142bce }}
Vals: {{Val list| 10, 12e, 22, 120bce, 142bce }}
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[[POTE generator]]: ~3/2 = 703.681
[[POTE generator]]: ~3/2 = 703.681
[[Tuning ranges]]:
* 7- and 9-odd-limit [[diamond monotone]]: ~3/2 = [700.000, 705.882] (7\12 to 20\34)
* 7- and 9-odd-limit [[diamond tradeoff]]: ~3/2 = [701.955, 706.843]
* 7- and 9-odd-limit diamond monotone and tradeoff: ~3/2 = [701.955, 705.882]


{{Val list|legend=1| 12, 46, 58, 104c, 162c }}
{{Val list|legend=1| 12, 46, 58, 104c, 162c }}
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POTE generator: ~3/2 = 703.714
POTE generator: ~3/2 = 703.714
Tuning ranges:
* 11-odd-limit diamond monotone: ~3/2 = [700.000, 704.348] (7\12 to 27\46)
* 11-odd-limit diamond tradeoff: ~3/2 = [701.955, 706.843]
* 11-odd-limit diamond monotone and tradeoff: ~3/2 = [701.955, 704.348]


Vals: {{Val list| 12, 46, 58, 104c, 162ce }}
Vals: {{Val list| 12, 46, 58, 104c, 162ce }}
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POTE generator: ~3/2 = 703.704
POTE generator: ~3/2 = 703.704
Tuning ranges:
* 13- and 15-odd-limit diamond monotone: ~3/2 = [703.448, 704.348] (34\58 to 27\46)
* 13-odd-limit diamond tradeoff: ~3/2 = [701.955, 706.843]
* 15-odd-limit diamond tradeoff: ~3/2 = [701.955, 711.731]
* 13- and 15-odd-limit diamond monotone and tradeoff: ~3/2 = [703.448, 704.348]


Vals: {{Val list| 46, 58, 104c, 162cef }}
Vals: {{Val list| 46, 58, 104c, 162cef }}
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POTE generator: ~3/2 = 703.812
POTE generator: ~3/2 = 703.812
Tuning ranges:
* 17-odd-limit diamond monotone: ~3/2 = [703.448, 704.348] (34\58 to 27\46)
* 17-odd-limit diamond tradeoff: ~3/2 = [698.955, 711.731]
* 17-odd-limit diamond monotone and tradeoff: ~3/2 = [703.448, 704.348]


Vals: {{Val list| 46, 58, 104c }}
Vals: {{Val list| 46, 58, 104c }}
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