No-sevens subgroup temperaments: Difference between revisions

BudjarnLambeth (talk | contribs)
m Nestoria: uncapitalised
BudjarnLambeth (talk | contribs)
Moved dequarter up near the other meantone extensions. Noted its relation to meantone
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Related temperament: [[Meantone family|meantone]]
Related temperament: [[Meantone family|meantone]]
== Dequarter ==
[[Subgroup]]: 2.3.5.11
[[Comma list]]: 33/32, 55/54
{{Mapping|legend=2| 1 0 -4 5 | 0 1 4 -1 }}
: sval mapping generators: ~2, ~3
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 696.0387
{{Optimal ET sequence|legend=1| 5, 7, 19e, 26e }}
[[Badness]]: 0.0145
Related temperament: [[Meantone family|meantone]]
=== Dreamtone ===
Subgroup: 2.3.5.11.13
Comma list: 33/32, 55/54, 975/968
Sval mapping: {{mapping| 1 0 -4 5 21 | 0 1 4 -1 -11 }}
: sval mapping generators: ~2, ~3
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 689.6993
Optimal ET sequence: {{Optimal ET sequence| 7, 19eff, 26eff, 33ceeff, 40ceeff }}
Badness: 0.0353


== Hypnotone ==
== Hypnotone ==
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[[Badness]]: 0.0656
[[Badness]]: 0.0656
== Dequarter ==
[[Subgroup]]: 2.3.5.11
[[Comma list]]: 33/32, 55/54
{{Mapping|legend=2| 1 0 -4 5 | 0 1 4 -1 }}
: sval mapping generators: ~2, ~3
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 696.0387
{{Optimal ET sequence|legend=1| 5, 7, 19e, 26e }}
[[Badness]]: 0.0145
=== Dreamtone ===
Subgroup: 2.3.5.11.13
Comma list: 33/32, 55/54, 975/968
Sval mapping: {{mapping| 1 0 -4 5 21 | 0 1 4 -1 -11 }}
: sval mapping generators: ~2, ~3
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 689.6993
Optimal ET sequence: {{Optimal ET sequence| 7, 19eff, 26eff, 33ceeff, 40ceeff }}
Badness: 0.0353


[[Category:Temperament collections]]
[[Category:Temperament collections]]
[[Category:Subgroup temperaments]]
[[Category:Subgroup temperaments]]
[[Category:Rank 2]]
[[Category:Rank 2]]