No-elevens subgroup temperaments: Difference between revisions
m Removing from Category:Regular temperament theory using Cat-a-lot |
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[[Tp tuning #T2 tuning|RMS error]]: 0.1347 cents | [[Tp tuning #T2 tuning|RMS error]]: 0.1347 cents | ||
== Meantone == | |||
: <small>''For full 17- and 19-limit extensions, see [[Meantone family #Septimal meantone]].''</small> | |||
Subgroup: 2.3.5.7.17 | |||
[[Comma list]]: 81/80, 120/119, 126/125 | |||
[[Gencom]]: [2 4/3; 81/80 120/119 126/125] | |||
[[Gencom|Gencom mapping]]: [{{val|1 2 4 7 0 0 2}}, {{val|0 -1 -4 -10 0 0 5}}] | |||
[[Mapping|Sval mapping]]: [{{val|1 2 4 7 2}}, {{val|0 -1 -4 -10 5}}] | |||
[[Tp tuning|POL2 generator]]: ~3/2 = 697.205 | |||
{{Val list|legend=1| 12, 19, 31, 74g }} | |||
[[Tp tuning #T2 tuning|RMS error]]: 1.508 cents | |||
=== 2.3.5.7.17.19 === | |||
Subgroup: 2.3.5.7.17.19 | |||
[[Comma list]]: 81/80, 96/95, 120/119, 126/125 | |||
[[Gencom]]: [2 4/3; 81/80 96/95 120/119 126/125] | |||
[[Gencom|Gencom mapping]]: [{{val|1 2 4 7 0 0 2 3}}, {{val|0 -1 -4 -10 0 0 5 3}}] | |||
[[Mapping|Sval mapping]]: [{{val|1 2 4 7 2 3}}, {{val|0 -1 -4 -10 5 3}}] | |||
[[Tp tuning|POL2 generator]]: ~3/2 = 697.407 | |||
{{Val list|legend=1| 12, 31, 43, 74gh, 117gh }} | |||
[[Tp tuning #T2 tuning|RMS error]]: 1.564 cents | |||
=== 2.3.5.7.17.19.23 === | |||
Subgroup: 2.3.5.7.17.19.23 | |||
[[Comma list]]: 69/68, 81/80, 96/95, 115/114, 120/119 | |||
[[Gencom]]: [2 4/3; 69/68 81/80 96/95 115/114 120/119] | |||
[[Gencom|Gencom mapping]]: [{{val|1 2 4 7 0 0 2 3 2}}, {{val|0 -1 -4 -10 0 0 5 3 6}}] | |||
[[Mapping|Sval mapping]]: [{{val|1 2 4 7 2 3 2}}, {{val|0 -1 -4 -10 5 3 6}}] | |||
[[Tp tuning|POL2 generator]]: ~3/2 = 697.079 | |||
{{Val list|legend=1| 12, 19, 31, 74ghi, 105ghi }} | |||
[[Tp tuning #T2 tuning|RMS error]]: 1.787 cents | |||
== Cotoneum == | == Cotoneum == |