No-sevens subgroup temperaments: Difference between revisions
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Related temperament: [[Meantone family|meantone]] | Related temperament: [[Meantone family|meantone]] | ||
== Devisemi == | |||
: <small>''See also: [[No-elevens subgroup temperaments #Devisemi]]''</small> | |||
Subgroup: 2.3.5.19 | |||
[[Comma list]]: 361/360, 20000/19683 | |||
[[Gencom]]: [2 19/18; 361/360 20000/19683] | |||
[[Gencom|Gencom mapping]]: [{{val|1 1 1 0 0 0 0 3}}, {{val|0 8 18 0 0 0 0 17}}] | |||
[[Mapping|Sval mapping]]: [{{val|1 1 1 3}}, {{val|0 8 18 17}}] | |||
[[Tp tuning|POL2 generator]]: ~19/18 = 88.077 | |||
{{Optimal ET sequence|legend=1| 14c, 27, 41, 68, 109 }} | |||
[[Tp tuning #T2 tuning|RMS error]]: 0.5701 cents | |||
Related temperament: [[Tetracot family|octacot]] | |||
== Nestoria == | == Nestoria == | ||
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== Rarity == | == Rarity == | ||
:''For the 5-limit version of this temperament, see [[High badness temperaments #Rarity]]. | : <small>''For the 5-limit version of this temperament, see [[High badness temperaments #Rarity]].''</small> | ||
Rarity generator is so close to [[23/19]], and some edos supporting it have good 19th and 23rd harmonics that it is natural to prescribe a 2.3.5.19.23 extension. Since the generator is also mapped to [[368/225]], this means that [[4275/4232]] is tempered out. | Rarity generator is so close to [[23/19]], and some edos supporting it have good 19th and 23rd harmonics that it is natural to prescribe a 2.3.5.19.23 extension. Since the generator is also mapped to [[368/225]], this means that [[4275/4232]] is tempered out. | ||