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| Line 147: |
Line 147: |
| [[Tp tuning #T2 tuning|RMS error]]: 0.2830 cents | | [[Tp tuning #T2 tuning|RMS error]]: 0.2830 cents |
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| == Dicot == | | == 2.3.5.13 temperaments == |
| {{main|Dicot family #2.3.5.11 subgroup}}
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| == Mavila ==
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| {{main|Mavila family #2.3.5.11 subgroup}}
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| == Porkypine ==
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| {{main|Porcupine family #2.3.5.11 subgroup (porkypine)}}
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| == Mohaha ==
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| {{main|Rastmic clan #Mohaha }}
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| == Tetracot ==
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| {{main|Tetracot family #2.3.5.11 subgroup }}
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| == Larry ==
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| {{main|Gravity family #Larry}}
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| == Tremka ==
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| : <small>''For full 11- and 13-limit extensions, see [[Hemimean clan#Tremka]].''</small>
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| === 2.3.5.11 ===
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| Subgroup: 2.3.5.11
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| [[Comma list]]: 6912/6875, 526153617/524288000
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| [[Gencom]]: [2 363/320; 6912/6875 526153617/524288000]
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| [[Gencom|Gencom mapping]]: [{{val|1 -4 -2 0 4}}, {{val|0 31 24 0 -3}}]
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| [[Mapping|Sval mapping]]: [{{val|1 -4 -2 4}}, {{val|0 31 24 -3}}]
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| [[Tp tuning|POL2 generator]]: ~363/320 = 216.182
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| {{Optimal ET sequence|legend=1| 11b, 28bbcc, 39bc, 50, 111, 161, 272 }}
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| [[Tp tuning #T2 tuning|RMS error]]: 0.3717 cents
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| === 2.3.5.11.13 ===
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| Subgroup: 2.3.5.11.13
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| [[Comma list]]: 2200/2197, 3267/3250, 6656/6655
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| [[Gencom]]: [2 192/169; 2200/2197 3267/3250 6656/6655]
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| [[Gencom|Gencom mapping]]: [{{val|1 -4 -2 0 4 1}}, {{val|0 31 24 0 -3 15}}]
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| [[Mapping|Sval mapping]]: [{{val|1 -4 -2 4 1}}, {{val|0 31 24 -3 15}}]
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| [[Tp tuning|POL2 generator]]: ~192/169 = 216.186
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| {{Optimal ET sequence|legend=1| 11b, 28bbccf, 39bc, 50, 111, 272, 383cf }}
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| [[Tp tuning #T2 tuning|RMS error]]: 0.3705 cents
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| == Twentcufo ==
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| : <small>''For full 11- and 13-limit extensions, see [[Hemimean clan#Undetrita]].''</small>
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| Subgroup: 2.3.5.11
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| [[Comma list]]: 8019/8000, 14641/14580
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| [[Gencom]]: [2 400/363; 8019/8000 14641/14580]
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| [[Gencom|Gencom mapping]]: [{{val|1 0 -2 0 0}}, {{val|0 11 30 0 24}}]
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| [[Mapping|Sval mapping]]: [{{val|1 0 -2 0}}, {{val|0 11 30 24}}]
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| [[Tp tuning|POL2 generator]]: ~400/363 = 172.8796
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| {{Optimal ET sequence|legend=1| 7, 111, 118 }}
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| [[Tp tuning #T2 tuning|RMS error]]: 0.2393 cents
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| == Yarman ==
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| : <small>''For full 11- and 13-limit extensions, see [[Quartonic family]].''</small>
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| Subgroup: 2.3.5.11
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| [[Comma list]]: 4000/3993, 390625000/387420489
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| [[Gencom]]: [2 100/99; 4000/3993 390625000/387420489]
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| [[Gencom|Gencom mapping]]: [{{val|1 2 3 0 4}}, {{val|0 -33 -54 0 -43}}]
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| [[Mapping|Sval mapping]]: [{{val|1 2 3 4}}, {{val|0 -33 -54 -43}}]
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| [[Tp tuning|POL2 generator]]: ~100/99 = 15.0773
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| {{Optimal ET sequence|legend=1| 79, 80, 159, 239, 398 }}
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| [[Tp tuning #T2 tuning|RMS error]]: 0.1682 cents
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| === 2.3.5.11.13 ===
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| Subgroup: 2.3.5.11.13
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| [[Comma list]]: 325/324, 4000/3993, 85683/85184
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| [[Gencom]]: [2 100/99; 325/324 4000/3993 85683/85184]
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| [[Gencom|Gencom mapping]]: [{{val|1 2 3 0 4 4}}, {{val|0 -33 -54 0 -43 -24}}]
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| [[Mapping|Sval mapping]]: [{{val|1 2 3 4 4}}, {{val|0 -33 -54 -43 -24}}]
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| [[Tp tuning|POL2 generator]]: ~100/99 = 15.0885
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| {{Optimal ET sequence|legend=1| 79, 80, 159 }}
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| [[Tp tuning #T2 tuning|RMS error]]: 0.2830 cents
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| == Emka ==
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| : <small>''For full 11- and 13-limit extensions, see [[Hemimean clan #Emka]] or [[Horwell temperaments #Emkay]].''</small>
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| Subgroup: 2.3.5.11
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| [[Comma list]]: 4000/3993, 9453125/9437184
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| [[Gencom]]: [2 11/8; 4000/3993 9453125/9437184]
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| [[Gencom|Gencom mapping]]: [{{val|1 14 6 0 3}}, {{val|0 -27 -8 0 1}}]
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| [[Mapping|Sval mapping]]: [{{val|1 14 6 3}}, {{val|0 -27 -8 1}}]
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| [[Tp tuning|POL2 generator]]: ~11/8 = 551.7778
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| {{Optimal ET sequence|legend=1| 37, 50, 87, 137, 224 }}
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| [[Tp tuning #T2 tuning|RMS error]]: 0.1188 cents
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| === 2.3.5.11.13 === | |
| Subgroup: 2.3.5.11.13
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| [[Comma list]]: 625/624, 2200/2197, 4000/3993
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| [[Gencom]]: [2 11/8; 625/624 2200/2197 4000/3993]
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| [[Gencom|Gencom mapping]]: [{{val|1 14 6 0 3 6}}, {{val|0 -27 -8 0 1 -5}}]
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| [[Mapping|Sval mapping]]: [{{val|1 14 6 3 6}}, {{val|0 -27 -8 1 -5}}]
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| [[Tp tuning|POL2 generator]]: ~11/8 = 551.7753
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| {{Optimal ET sequence|legend=1| 37, 50, 87, 137, 224 }}
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| [[Tp tuning #T2 tuning|RMS error]]: 0.1250 cents
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| == Tricot == | | == Tricot == |