Landscape microtemperaments: Difference between revisions

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== Zinc ==
== Zinc ==
{{See also|30th-octave temperaments#Zinc}}
[[Subgroup]]: 2.3.5.7
[[Subgroup]]: 2.3.5.7


[[Comma list]]: 250047/250000, {{monzo| -45 -24 14 18 }}
[[Comma list]]: 250047/250000, {{monzo| -53 -12 2 24 }}


{{Mapping|legend=1| 30 2 15 66 | 0 5 6 2 }}
{{Mapping|legend=1| 30 2 15 66 | 0 5 6 2 }}


[[Optimal tuning]] ([[CTE]]): ~53747712/52521875 = 1\30, ~216/175 = 364.389
[[Optimal tuning]]s:
* [[CTE]]: ~53747712/52521875 = 1\30, ~216/175 = 364.3896 (~{{monzo| 21 3 1 -10 }} = 4.3896)
* [[CWE]]: ~53747712/52521875 = 1\30, ~216/175 = 364.3879 (~{{monzo| 21 3 1 -10 }} = 4.3879)


{{Optimal ET sequence|legend=1| 270, 1380, 1650, 1920, 2190, 4650 }}
{{Optimal ET sequence|legend=1| 270, 1380, 1650, 1920, 2190, 4650 }}


[[Badness]]: 0.0742
[[Badness]]: 0.0742
=== 11-limit===
=== 11-limit===
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Comma list: 9801/9800, 250047/250000, 97869261875/97844723712
Comma list: 9801/9800, 151263/151250, {{monzo| -27 -6 4 6 3 }}


Mapping: {{mapping| 30 2 15 66 122 | 0 5 6 2 -2 }}
Mapping: {{mapping| 30 2 15 66 122 | 0 5 6 2 -2 }}


Optimal tuning (CTE): ~18865/18432 = 1\30, ~216/175 = 364.389
Optimal tunings:
* CTE: ~18865/18432 = 1\30, ~216/175 = 364.3886 (~385/384 = 4.3886)
* CWE: ~18865/18432 = 1\30, ~216/175 = 364.3849 (~385/384 = 4.3849)


{{Optimal ET sequence|legend=1| 270, 1110, 1380, 1650, 1920, 2190 }}
Optimal ET sequence: {{Optimal ET sequence| 270, 1110, 1380, 1650, 1920, 2190 }}


Badness: 0.0220
Badness: 0.0220
===13-limit===
 
=== 13-limit ===
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Comma list: 9801/9800, 123201/123200, 250047/250000, 1990656/1990625
Comma list: 9801/9800, 10648/10647, 105644/105625, 196625/196608


Mapping: {{mapping| 30 2 15 66 122 193 | 0 5 6 2 -2 -9 }}
Mapping: {{mapping| 30 2 15 66 122 193 | 0 5 6 2 -2 -9 }}


Optimal tuning (CTE): ~351/343 = 1\30, ~216/175 = 364.389
Optimal tunings:
* CTE: ~351/343 = 1\30, ~216/175 = 364.3879 (~385/384 = 4.3879)
* CWE: ~351/343 = 1\30, ~216/175 = 364.3867 (~385/384 = 4.3867)
 
Optimal ET sequence: {{Optimal ET sequence| 270, 1380, 1650, 1920, 2190, 4650, 6840e, 11490de }}


{{Optimal ET sequence|legend=1| 270, 1380, 1650, 1920, 2190, 4650, 6840e, 11490de }}
Badness: 0.0155


Badness: 0.0150
[[Category:Temperament collections]]
[[Category:Temperament collections]]
[[Category:Landscape microtemperaments| ]] <!-- main article -->
[[Category:Landscape microtemperaments| ]] <!-- main article -->