Subgroup temperaments: Difference between revisions
→No-threes subgroup: comma list |
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[[Comma list]]: 625/624, 2200/2197, 4000/3993 | [[Comma list]]: 625/624, 2200/2197, 4000/3993 | ||
[[Gencom]]: [2 11/8; 625/624 | [[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}}] | [[Gencom|Gencom mapping]]: [{{val|1 14 6 0 3 6}}, {{val|0 -27 -8 0 1 -5}}] | ||
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[[Tp tuning #T2 tuning|RMS error]]: 0.1250 cents | [[Tp tuning #T2 tuning|RMS error]]: 0.1250 cents | ||
=== Majvam === | |||
: <small>''For full 13- and 17-limit extensions, see [[Parkleiness temperaments #Majvamic]] or [[Cataharry temperaments #Majvamoid]].''</small> | |||
Subgroup: 2.3.5.13 | |||
[[Comma list]]: 676/675, 127401984/126953125 | |||
[[Gencom]]: [2 125/96; 676/675 127401984/126953125] | |||
[[Gencom|Gencom mapping]]: [{{val|1 10 5 0 0 19}}, {{val|0 -22 -7 0 0 -40}}] | |||
[[Mapping|Sval mapping]]: [{{val|1 10 5 19}}, {{val|0 -22 -7 -40}}] | |||
[[Tp tuning|POL2 generator]]: ~125/96 = 458.988 | |||
{{Val list|legend=1| 34, 149, 183, 217, 400 }} | |||
[[Tp tuning #T2 tuning|RMS error]]: 0.1171 cents | |||
==== 2.3.5.13.17 ==== | |||
Subgroup: 2.3.5.13.17 | |||
[[Comma list]]: 676/675, 2601/2600, 24576/24565 | |||
[[Gencom]]: [2 125/96; 676/675 2601/2600 24576/24565] | |||
[[Gencom|Gencom mapping]]: [{{val|1 10 5 0 0 19 6}}, {{val|0 -22 -7 0 0 -40 -5}}] | |||
[[Mapping|Sval mapping]]: [{{val|1 10 5 19 6}}, {{val|0 -22 -7 -40 -5}}] | |||
[[Tp tuning|POL2 generator]]: ~125/96 = 458.991 | |||
{{Val list|legend=1| 34, 149, 183, 217, 400 }} | |||
[[Tp tuning #T2 tuning|RMS error]]: 0.1129 cents | |||
=== Photia === | === Photia === | ||
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[[Comma list]]: 256/255, 1458/1445 | [[Comma list]]: 256/255, 1458/1445 | ||
[[Gencom]]: [2 4/3; 256/255 | [[Gencom]]: [2 4/3; 256/255 1458/1445] | ||
[[Gencom|Gencom mapping]]: [{{val|1 2 -1 0 0 0 7}}, {{val|0 -1 8 0 0 0 -7}}] | [[Gencom|Gencom mapping]]: [{{val|1 2 -1 0 0 0 7}}, {{val|0 -1 8 0 0 0 -7}}] | ||
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[[Comma list]]: 171/170, 256/255, 324/323 | [[Comma list]]: 171/170, 256/255, 324/323 | ||
[[Gencom]]: [2 4/3; 171/170 | [[Gencom]]: [2 4/3; 171/170 256/255 324/323] | ||
[[Gencom|Gencom mapping]]: [{{val|1 2 -1 0 0 0 7 3}}, {{val|0 -1 8 0 0 0 -7 3}}] | [[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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[[Comma list]]: 361/360, 513/512 | [[Comma list]]: 361/360, 513/512 | ||
[[Gencom]]: [2 4/3; 361/360 | [[Gencom]]: [2 4/3; 361/360 513/512] | ||
[[Gencom|Gencom mapping]]: [{{val|1 2 -1 0 0 0 0 3}}, {{val|0 -1 8 0 0 0 0 3}}] | [[Gencom|Gencom mapping]]: [{{val|1 2 -1 0 0 0 0 3}}, {{val|0 -1 8 0 0 0 0 3}}] | ||