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 == | ||