Semaphoresmic clan: Difference between revisions
→Overview to extensions: +link to hemidim |
-diamond monotone and tradeoff (easily derivable and lack of significance); +helayo temperament |
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* 7- and 9-odd-limit [[diamond monotone]]: ~7/4 = [942.857, 960.000] (1\14 to 4\5) | * 7- and 9-odd-limit [[diamond monotone]]: ~7/4 = [942.857, 960.000] (1\14 to 4\5) | ||
* 7- and 9-odd-limit [[diamond tradeoff]]: ~7/4 = [933.129, 968.826] | * 7- and 9-odd-limit [[diamond tradeoff]]: ~7/4 = [933.129, 968.826] | ||
{{Optimal ET sequence|legend=1| 5, 14c, 19 }} | {{Optimal ET sequence|legend=1| 5, 14c, 19 }} | ||
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* 11-odd-limit diamond monotone: ~7/4 = [942.857, 947.368] (11\14 to 15\19) | * 11-odd-limit diamond monotone: ~7/4 = [942.857, 947.368] (11\14 to 15\19) | ||
* 11-odd-limit diamond tradeoff: ~7/4 = [933.129, 968.826] | * 11-odd-limit diamond tradeoff: ~7/4 = [933.129, 968.826] | ||
{{Optimal ET sequence|legend=1| 14c, 19, 33cd }} | {{Optimal ET sequence|legend=1| 14c, 19, 33cd }} | ||
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* 13- and 15-odd-limit diamond monotone: ~7/4 = 947.368 (15\19) | * 13- and 15-odd-limit diamond monotone: ~7/4 = 947.368 (15\19) | ||
* 13- and 15-odd-limit diamond tradeoff: ~7/4 = [910.890, 968.826] | * 13- and 15-odd-limit diamond tradeoff: ~7/4 = [910.890, 968.826] | ||
{{Optimal ET sequence|legend=1| 14cf, 19, 33cdff }} | {{Optimal ET sequence|legend=1| 14cf, 19, 33cdff }} | ||
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Mapping: {{mapping| 1 0 -4 2 9 | 0 2 8 1 -7 }} | Mapping: {{mapping| 1 0 -4 2 9 | 0 2 8 1 -7 }} | ||
Optimal tuning (CTE): ~2 = 1\1, ~ | Optimal tuning (CTE): ~2 = 1\1, ~7/4 = 949.0311 | ||
{{Optimal ET sequence|legend=1| 5, 19, 24 }} | {{Optimal ET sequence|legend=1| 5, 19, 24 }} | ||
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Badness: 0.026703 | Badness: 0.026703 | ||
== Helayo == | |||
: ''For the 5-limit version of this temperament see [[High badness temperaments #Hogzilla]].'' | |||
[[Subgroup]]: 2.3.5.7 | |||
[[Comma list]]: 49/48, 3645/3584 | |||
{{Mapping|legend=1| 1 0 11 2 | 0 2 -11 1 }} | |||
{{Multival|legend=1| 2 -6 1 -14 -4 19 }} | |||
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~7/4 = 947.0969 | |||
{{Optimal ET sequence|legend=1| 5c, 14, 19 }} | |||
[[Badness]]: 0.0791 | |||
== Superpelog == | == Superpelog == | ||