No-sevens subgroup temperaments: Difference between revisions

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


== Dicot ==
== Dicot ==