No-sevens subgroup temperaments: Difference between revisions
ArrowHead294 (talk | contribs) →2.3.5.11 temperaments: Ficks links |
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{{main| Schismatic family #Taylor (2.3.5.13) }} | {{main| Schismatic family #Taylor (2.3.5.13) }} | ||
= 2.3.5.17 temperaments = | == 2.3.5.17 temperaments == | ||
=== Quintaleap === | === Quintaleap === | ||
{{ | {{Main| Quintaleap family #Subgroup temperament }} | ||
=== Quindromeda === | === Quindromeda === | ||
{{ | {{Main| Quindromeda family #Subgroup temperament }} | ||
=== Photia === | === Photia === | ||
{{See also| No-elevens subgroup temperaments #Garibaldia }} | |||
{{ | {{Main| Schismatic family #Photia (2.3.5.17) }} | ||
=== Quintilischis === | === Quintilischis === | ||
: | : ''For full 17- and 19-limit extensions, see [[Schismatic family #Quintilipyth]] or [[Schismatic family #Quintaschis]].'' | ||
{{ | {{Main| Schismatic family #Quintilischis (2.3.5.17) }} | ||
== 2.3.5.19 temperaments == | == 2.3.5.19 temperaments == | ||
=== Rarity === | === Rarity === | ||
: | : ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Rarity]].'' | ||
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. | ||
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{{Mapping|legend=2| 1 11 -10 -3 -2 | 0 -13 17 10 9 }} | {{Mapping|legend=2| 1 11 -10 -3 -2 | 0 -13 17 10 9 }} | ||
: Sval mapping generators: ~ | : Sval mapping generators: ~2 = 1200.000, ~368/225 = 869.420 | ||
[[Optimal tuning]] ([[CTE]]): ~368/225 = 869.420 | [[Optimal tuning]] ([[CTE]]): ~368/225 = 869.420 | ||
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=== Devisemi === | === Devisemi === | ||
: | : ''See also: [[No-elevens subgroup temperaments #Devisemi]]'' | ||
{{ | {{Main| Tetracot family #2.3.5.19 subgroup }} | ||
=== Nestoria === | === Nestoria === | ||
: | : ''See also: [[No-elevens subgroup temperaments #Garibaldia]] and [[No-elevens subgroup temperaments #Pontia|#Pontia]]'' | ||
{{ | {{Main| Schismatic family #Nestoria (2.3.5.19) }} | ||
=== Stützel === | === Stützel === | ||
{{ | {{Main| Meantone family #Stützel (2.3.5.19) }} | ||
[[Category:Temperament collections]] | [[Category:Temperament collections]] | ||
[[Category:Subgroup temperaments]] | [[Category:Subgroup temperaments]] | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||