Subgroup temperaments: Difference between revisions
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[[Tp tuning|POL2 generator]]: ~11/10 = 164.078 | [[Tp tuning|POL2 generator]]: ~11/10 = 164.078 | ||
{{Val list|legend=1| 7, 15, 22, 37, 73cd, 95cd, 117bcd | {{Val list|legend=1| 7, 15, 22, 37, 73cd, 95cd, 117bcd }} | ||
[[Tp tuning #T2 tuning|RMS error]]: 2.287 cents | [[Tp tuning #T2 tuning|RMS error]]: 2.287 cents | ||
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[[Gencom]]: [2 40/27; 243/242 4000/3993] | [[Gencom]]: [2 40/27; 243/242 4000/3993] | ||
[[Gencom|Gencom mapping]]: [ | [[Gencom|Gencom mapping]]: [{{val|1 5 12 0 12}}, {{val|0 -6 -17 0 -15}}] | ||
[[Mapping|Sval mapping]]: [ | [[Mapping|Sval mapping]]: [{{val|1 5 12 12}}, {{val|0 -6 -17 -15}}] | ||
[[Tp tuning|POL2 generator]]: ~40/27 = 683.166 | [[Tp tuning|POL2 generator]]: ~40/27 = 683.166 | ||
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[[Gencom]]: [2 9/7; 78/77, 99/98, 243/242] | [[Gencom]]: [2 9/7; 78/77, 99/98, 243/242] | ||
[[Gencom|Gencom mapping]]: [{{val|1 3 0 6 7 9}, {{val|0 -4 0 -9 -10 -15}}] | [[Gencom|Gencom mapping]]: [{{val|1 3 0 6 7 9}}, {{val|0 -4 0 -9 -10 -15}}] | ||
[[Mapping|Sval mapping]]: [{{val|1 3 6 7 9}, {{val|0 -4 -9 -10 -15}}] | [[Mapping|Sval mapping]]: [{{val|1 3 6 7 9}}, {{val|0 -4 -9 -10 -15}}] | ||
[[Tp tuning|POL2 generator]]: ~9/7 = 424.457 | [[Tp tuning|POL2 generator]]: ~9/7 = 424.457 | ||
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[[Tp tuning #T2 tuning|RMS error]]: 0.5391 cents | [[Tp tuning #T2 tuning|RMS error]]: 0.5391 cents | ||
==Rainy== | == Rainy == | ||
Three generators make an [[8/7]]; five generators make a [[5/4]]. This is the no-threes version of [[tertiaseptal]]. | Three generators make an [[8/7]]; five generators make a [[5/4]]. This is the no-threes version of [[tertiaseptal]]. | ||
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[[Mapping|Sval mapping]]: [{{val|1 2 4}}, {{val|0 3 1}}] | [[Mapping|Sval mapping]]: [{{val|1 2 4}}, {{val|0 3 1}}] | ||
[[Tp tuning|POL2 generator]]: ~ | [[Tp tuning|POL2 generator]]: ~21/16 = 467.375 | ||
{{Val list|legend=1| 5, 13, 18, 41, 59, 77, 95 }} | {{Val list|legend=1| 5, 13, 18, 41, 59, 77, 95 }} | ||
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[[Tp tuning #T2 tuning|RMS error]]: 0.3202 cents | [[Tp tuning #T2 tuning|RMS error]]: 0.3202 cents | ||
= | = Miscellaneous subgroup temperaments = | ||
== Historical == | == Historical == | ||
Subgroup: 2.3.7/5.11/5.13/5 | Subgroup: 2.3.7/5.11/5.13/5 | ||
[[Comma list]]: 364/363, 441/440, 1001/1000 | |||
[[ | [[Mapping|Sval mapping]]: [{{val|1 2 0 1 2}}, {{val|0 -6 7 2 -9}}] | ||
[[ | [[Tp tuning|POL2 generator]]: ~21/20 = 83.016 | ||
{{Val list|legend=1| 14, 29, 72, 101, 130, 159 }} | |||
[[Tp tuning #T2 tuning|RMS error]]: 0.2562 cents | |||
[ | |||
== Hypnosis == | == Hypnosis == | ||
Subgroup: 2.3.7.11/5.13 | Subgroup: 2.3.7.11/5.13 | ||
[[Comma list]]: 169/168, 540/539, 729/728 | |||
Related temperament: [[Swetismic temperaments #Hypnos|hypnos]], [[Hemifamity temperaments #Tricot|tricot]] | Related temperament: [[Swetismic temperaments #Hypnos|hypnos]], [[Hemifamity temperaments #Tricot|tricot]] | ||
[[ | [[Mapping|Sval mapping]]: [{{val|1 0 -3 8 0}}, {{val|0 3 11 -13 7}}] | ||
[[Tp tuning|POL2 generator]]: ~13/9 = 633.518 | |||
{{Val list|legend=1| 17, 36, 118e, 125e, 161e, 197e }} | |||
[[Tp tuning #T2 tuning|RMS error]]: 0.5379 cents | |||
[[ | |||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||
[[Category:Temperament clan]] | [[Category:Temperament clan]] | ||
[[Category:Subgroup]] | [[Category:Subgroup]] | ||