Hemimean family: Difference between revisions
Switch to Sintel's badness, WE & CWE tunings |
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== Semihemimean == | == Semihemimean == | ||
Named by [[Xenllium]] in 2026, semihemimean tempers out [[9801/9800]] and splits the octave in halves. | |||
[[Subgroup]]: 2.3.5.7.11 | [[Subgroup]]: 2.3.5.7.11 | ||
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Optimal tunings: | Optimal tunings: | ||
* | * WE: ~99/70 = 599.8791{{c}}, ~3/2 = 702.1476{{c}}, ~28/25 = 193.7877{{c}} | ||
* CWE: ~99/70 = 600.0000{{c}}, ~3/2 = 702.1740{{c}}, ~28/25 = 193.7869{{c}} | * CWE: ~99/70 = 600.0000{{c}}, ~3/2 = 702.1740{{c}}, ~28/25 = 193.7869{{c}} | ||
{{Optimal ET sequence|legend=0| 12, …, 50, 68, 80, 118, 130, 198, 328, 576cf, 774cf, 904cef }} | {{Optimal ET sequence|legend=0| 12, …, 50, 68, 80, 118, 130, 198, 328, 576cf, 774cf, 904cef }} | ||
Badness (Sintel): 1.55 | |||
=== 17-limit === | === 17-limit === | ||
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{{Optimal ET sequence|legend=0| 12, …, 50, 68, 80, 118, 130, 198 }} | {{Optimal ET sequence|legend=0| 12, …, 50, 68, 80, 118, 130, 198 }} | ||
Badness (Sintel): 1.74 | |||
=== 19-limit === | === 19-limit === | ||
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{{Optimal ET sequence|legend=0| 12, …, 50, 68, 80, 118, 130, 198 }} | {{Optimal ET sequence|legend=0| 12, …, 50, 68, 80, 118, 130, 198 }} | ||
Badness (Sintel): 1.32 | |||
== Subgroup extensions == | == Subgroup extensions == | ||