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Landscape microtemperaments: Difference between revisions

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{{Multival|legend=1| 24 -9 -66 -70 -172 -128 }}
{{Multival|legend=1| 24 -9 -66 -70 -172 -128 }}


[[Optimal tuning]] ([[POTE]]): ~63/50 = 1\3, ~1024/945 = 137.768
[[Optimal tuning]]s:
* [[CTE]]: ~63/50 = 1\3, ~1024/945 = 137.772
* [[POTE]]: ~63/50 = 1\3, ~1024/945 = 137.768


{{Optimal ET sequence|legend=1| 87, 183, 270, 723, 993, 1263, 2796cd, 4059bccd }}
{{Optimal ET sequence|legend=1| 87, 183, 270, 723, 993, 1263, 2796cd, 4059bccd }}
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Mapping: {{mapping| 3 2 8 16 9 | 0 8 -3 -22 4 }}
Mapping: {{mapping| 3 2 8 16 9 | 0 8 -3 -22 4 }}


Optimal tuning (POTE): ~63/50 = 1\3, ~693/640 = 137.771
Optimal tunings:
* CTE: ~63/50 = 1\3, ~693/640 = 137.773
* POTE: ~63/50 = 1\3, ~693/640 = 137.771


{{Optimal ET sequence|legend=1| 87, 183, 270, 1263, 1533, 1803c, 2073c }}
Optimal ET sequence: {{Optimal ET sequence| 87, 183, 270, 1263, 1533, 1803c }}


Badness: 0.023085
Badness: 0.023085
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Mapping: {{mapping| 3 2 8 16 9 8 | 0 8 -3 -22 4 9 }}
Mapping: {{mapping| 3 2 8 16 9 8 | 0 8 -3 -22 4 9 }}


Optimal tuning (POTE): ~63/50 = 1\3, ~13/12 = 137.777
Optimal tunings:
* CTE: ~63/50 = 1\3, ~13/12 = 137.777
* POTE: ~63/50 = 1\3, ~13/12 = 137.777


{{Optimal ET sequence|legend=1| 87, 183, 270 }}
Optimal ET sequence: {{Optimal ET sequence| 87, 183, 270 }}


Badness: 0.015557
Badness: 0.015557
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Mapping: {{mapping| 3 2 8 16 9 8 4 | 0 8 -3 -22 4 9 24 }}
Mapping: {{mapping| 3 2 8 16 9 8 4 | 0 8 -3 -22 4 9 24 }}


Optimal tuning (POTE): ~63/50 = 1\3, ~13/12 = 137.761
Optimal tunings:
* CTE: ~63/50 = 1\3, ~13/12 = 137.758
* POTE: ~63/50 = 1\3, ~13/12 = 137.761


{{Optimal ET sequence|legend=1| 87, 183, 270 }}
Optimal ET sequence: {{Optimal ET sequence| 87, 183, 270, 453 }}


Badness: 0.015557
Badness: 0.0171
 
{{todo|inline=1|correct maths|comment = Optimal ET sequence and badness are probably incorrect, please recalculate them.}}


=== 19-limit ===
=== 19-limit ===
Subgroup: 2.3.5.7.11.13.17.19
Subgroup: 2.3.5.7.11.13.17.19


Comma list: 676/675, 715/714, 1001/1000, 1216/1215, 3025/3024, 4096/4095
Comma list: 676/675, 715/714, 1001/1000, 1216/1215, 1729/1728, 3025/3024


Mapping: {{mapping| 3 2 8 16 9 8 4 0 | 0 8 -3 -22 4 9 24 37 }}
Mapping: {{mapping| 3 2 8 16 9 8 4 0 | 0 8 -3 -22 4 9 24 37 }}


Optimal tuning (POTE): ~63/50 = 1\3, ~13/12 = 137.767
Optimal tunings:
 
* CTE: ~63/50 = 1\3, ~13/12 = 137.763
{{Optimal ET sequence|legend=1| 87, 183, 270 }}
* POTE: ~63/50 = 1\3, ~13/12 = 137.767


Badness: 0.015557
Optimal ET sequence: {{Optimal ET sequence| 87, 183, 270 }}


{{todo|inline=1|correct maths|comment = Optimal ET sequence and badness are probably incorrect, please recalculate them.}}
Badness: 0.0153


== Terture ==
== Terture ==
Retrieved from "https://en.xen.wiki/w/Landscape_microtemperaments"