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| == 2.3.5.17 temperaments == | | == 2.3.5.17 temperaments == |
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| === Photia ===
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| : <small>''See also: [[No-elevens subgroup temperaments #Garibaldia]]''</small>
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| Subgroup: 2.3.5.17
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| [[Comma list]]: 256/255, 1458/1445
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| [[Gencom]]: [2 4/3; 256/255 1458/1445]
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| [[Gencom|Gencom mapping]]: [{{val|1 2 -1 0 0 0 7}}, {{val|0 -1 8 0 0 0 -7}}]
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| [[Mapping|Sval mapping]]: [{{val|1 2 -1 7}}, {{val|0 -1 8 -7}}]
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| [[Tp tuning|POL2 generator]]: ~3/2 = 701.491
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| {{Optimal ET sequence|legend=1| 12, 41, 53, 65 }}
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| [[Tp tuning #T2 tuning|RMS error]]: 0.4842 cents
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| Related temperament: [[Schismatic family|Schismic]]
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| ==== 2.3.5.17.19 ====
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| Subgroup: 2.3.5.17.19
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| [[Comma list]]: 171/170, 256/255, 324/323
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| [[Gencom]]: [2 4/3; 171/170 256/255 324/323]
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| [[Gencom|Gencom mapping]]: [{{val|1 2 -1 0 0 0 7 3}}, {{val|0 -1 8 0 0 0 -7 3}}]
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| [[Mapping|Sval mapping]]: [{{val|1 2 -1 7 3}}, {{val|0 -1 8 -7 3}}]
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| [[Tp tuning|POL2 generator]]: ~3/2 = 701.470
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| {{Optimal ET sequence|legend=1| 12, 41, 53, 65 }}
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| [[Tp tuning #T2 tuning|RMS error]]: 0.5374 cents
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| === Quintaleap === | | === Quintaleap === |
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Line 272: |
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| [[Tp tuning #T2 tuning|RMS error]]: 0.0813 cents | | [[Tp tuning #T2 tuning|RMS error]]: 0.0813 cents |
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| | === Photia === |
| | : <small>''See also: [[No-elevens subgroup temperaments #Garibaldia]]''</small> |
| | {{main|Schismatic family #Photia (2.3.5.17) }} |
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| === Quintilischis === | | === Quintilischis === |
| : <small>''For full 17- and 19-limit extensions, see [[Schismatic family #Quintilipyth]] or [[Schismatic family #Quintaschis]].''</small> | | : <small>''For full 17- and 19-limit extensions, see [[Schismatic family #Quintilipyth]] or [[Schismatic family #Quintaschis]].''</small> |
| | | {{main|Schismatic family #Quintilischis (2.3.5.17) }} |
| Subgroup: 2.3.5.17
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| [[Comma list]]: 32805/32768, 1419857/1417176
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| [[Gencom]]: [2 18/17; 32805/32768 1419857/1417176]
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| [[Gencom|Gencom mapping]]: [{{val|1 2 -1 0 0 0 5}}, {{val|0 -5 40 0 0 0 -11}}]
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| [[Mapping|Sval mapping]]: [{{val|1 2 -1 5}}, {{val|0 -5 40 -11}}]
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| [[Tp tuning|POL2 generator]]: ~18/17 = 99.649
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| {{Optimal ET sequence|legend=1| 12, 253, 265, 277, 289 }} | |
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| [[Tp tuning #T2 tuning|RMS error]]: 0.0719 cents
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| ==== 2.3.5.17.19 ====
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| Subgroup: 2.3.5.17.19
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| [[Comma list]]: 4624/4617, 6144/6137, 6885/6859
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| [[Gencom]]: [2 18/17; 4624/4617 6144/6137 6885/6859]
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| [[Gencom|Gencom mapping]]: [{{val|1 2 -1 0 0 0 5 4}}, {{val|0 -5 40 0 0 0 -11 3}}]
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| [[Mapping|Sval mapping]]: [{{val|1 2 -1 5 4}}, {{val|0 -5 40 -11 3}}]
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| [[Tp tuning|POL2 generator]]: ~18/17 = 99.652
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| {{Optimal ET sequence|legend=1| 12, 253, 265, 277, 289 }}
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| [[Tp tuning #T2 tuning|RMS error]]: 0.1636 cents
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| == 2.3.5.19 temperaments == | | == 2.3.5.19 temperaments == |