No-elevens subgroup temperaments: Difference between revisions
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[[Tp tuning #T2 tuning|RMS error]]: 0.1347 cents | [[Tp tuning #T2 tuning|RMS error]]: 0.1347 cents | ||
== Garibaldia == | |||
: <small>''See also: [[No-sevens subgroup temperaments #Photia]] and [[No-sevens subgroup temperaments #Nestoria|#Nestoria]]''</small> | |||
Subgroup: 2.3.5.7.17 | |||
[[Comma list]]: 120/119, 225/224, 1458/1445 | |||
[[Gencom]]: [2 4/3; 120/119 225/224 1458/1445] | |||
[[Gencom|Gencom mapping]]: [{{val|1 2 -1 -3 0 0 7}}, {{val|0 -1 8 14 0 0 -7}}] | |||
[[Mapping|Sval mapping]]: [{{val|1 2 -1 -3 7}}, {{val|0 -1 8 14 -7}}] | |||
[[Tp tuning|POL2 generator]]: ~3/2 = 701.862 | |||
{{Optimal ET sequence|legend=1| 12, 29, 41, 53 }} | |||
[[Tp tuning #T2 tuning|RMS error]]: 0.8796 cents | |||
Related temperament: [[Garibaldi]] | |||
=== 2.3.5.7.17.19 === | |||
Subgroup: 2.3.5.7.17.19 | |||
[[Comma list]]: 120/119, 171/170, 190/189, 225/224 | |||
[[Gencom]]: [2 4/3; 120/119 171/170 190/189 225/224] | |||
[[Gencom|Gencom mapping]]: [{{val|1 2 -1 -3 0 0 7 3}}, {{val|0 -1 8 14 0 0 -7 3}}] | |||
[[Mapping|Sval mapping]]: [{{val|1 2 -1 -3 7 3}}, {{val|0 -1 8 14 -7 3}}] | |||
[[Tp tuning|POL2 generator]]: ~3/2 = 701.880 | |||
{{Optimal ET sequence|legend=1| 12, 29, 41, 53 }} | |||
[[Tp tuning #T2 tuning|RMS error]]: 0.9338 cents | |||
== Devisemi == | == Devisemi == | ||
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Related temperament: [[Tetracot family|octacot]] | Related temperament: [[Tetracot family|octacot]] | ||
== Pontia == | |||
: <small>''See also: [[No-sevens subgroup temperaments #Nestoria]]''</small> | |||
Subgroup: 2.3.5.7.19 | |||
[[Comma list]]: 361/360, 513/512, 4375/4374 | |||
[[Gencom]]: [2 4/3; 361/360 513/512 4375/4374] | |||
[[Gencom|Gencom mapping]]: [{{val|1 2 -1 19 0 0 0 3}}, {{val|0 -1 8 -39 0 0 0 3}}] | |||
[[Mapping|Sval mapping]]: [{{val|1 2 -1 19 3}}, {{val|0 -1 8 -39 3}}] | |||
[[Tp tuning|POL2 generator]]: ~3/2 = 701.748 | |||
{{Optimal ET sequence|legend=1| 53, 118, 171 }} | |||
[[Tp tuning #T2 tuning|RMS error]]: 0.1763 cents | |||
Related temperament: [[Pontiac]] | |||
== Cotoneum == | == Cotoneum == |