No-sevens subgroup temperaments: Difference between revisions

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2.3.5.11 dreamtone is equivalent to dequarter, name relegated to the 2.3.5.11.13 extension
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Recommended ETs: {{EDOs|33, 82, 59, 85, 26}}
Recommended ETs: {{EDOs|33, 82, 59, 85, 26}}
== Dreamtone ==
Subgroup: 2.3.5.11
[[Comma list]]: 33/32, 55/54, 81/80, 605/576
[[Mapping|Sval mapping]]: [{{val|1 2 4 3}}, {{val|0 -1 -4 1}}]
[[POTE|POTE generators]]: 2/1 = 1200.0000, ~3/2 = 507.9204
[[TE|TE generators]]: ~2/1 = 1206.6512, ~3/2 = 510.7357
Recommended ETs: {{EDOs|73, 33, 82, 59, 85}}
Related temperament: [[Meantone family|meantone]]
=== 2.3.5.11.13 ===
Subgroup: 2.3.5.11.13
[[Comma list]]: 33/32, 55/54, 81/80, 605/576, 975/968, 1331/1300
[[Mapping|Sval mapping]]: [{{val|1 2 4 3 -1}}, {{val|0 -1 -4 1 11}}]
[[POTE|POTE generators]]: 2/1 = 1200.0000, ~3/2 = 509.7205
[[TE|TE generators]]: ~2/1 = 1207.9011, ~3/2 = 513.0767
Recommended ETs: {{EDOs|73, 33, 82, 59, 85}}


== Stützel ==
== Stützel ==
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[[Badness]]: 0.0145
[[Badness]]: 0.0145
=== Dreamtone ===
Subgroup: 2.3.5.11.13
Comma list: 33/32, 55/54, 975/968
Sval mapping: {{mapping| 1 2 4 3 -1 | 0 1 4 -1 -11 }}
Optimal tuning (CTE): ~2/1 = 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]]