Smate family: Difference between revisions
m Text replacement - "Category:Temperament families↵Category:Pages with mostly numerical content" to "Category:Temperament families" Tag: Manual revert |
No edit summary Tags: Mobile edit Mobile web edit |
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{{Mapping|legend=1| 1 3 2 | 0 -4 1 }} | {{Mapping|legend=1| 1 3 2 | 0 -4 1 }} | ||
: | : Mapping generators: ~2, ~5/4 | ||
[[Optimal tuning]] | [[Optimal tuning]]s: | ||
* [[WE]]: ~2 = 1191.896{{c}}, ~5/4 = 418.013{{c}} | |||
* [[CWE]]: ~2 = 1200.000{{c}}, ~5/4 = 421.637{{c}} | |||
{{Optimal ET sequence|legend=1| 3, 11, 14, 17c, 20c, 37c }} | {{Optimal ET sequence|legend=1| 3, 11, 14, 17c, 20c, 37c }} | ||
[[Badness]] ( | [[Badness]] (Sintel): 4.190 | ||
== Septimal smate == | == Septimal smate == | ||
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{{Mapping|legend=1| 1 3 2 6 | 0 -4 1 -9 }} | {{Mapping|legend=1| 1 3 2 6 | 0 -4 1 -9 }} | ||
[[Optimal tuning]] | [[Optimal tuning]]s: | ||
* [[WE]]: ~2 = 1191.900{{c}}, ~5/4 = 419.425{{c}} | |||
* [[CWE]]: ~2 = 1200.000{{c}}, ~5/4 = 423.046{{c}} | |||
{{Optimal ET sequence|legend=1| 3d, 11d, 14, 17c, 37ccdd }} | {{Optimal ET sequence|legend=1| 3d, 11d, 14, 17c, 37ccdd }} | ||
[[Badness]] ( | [[Badness]] (Sintel): 1.971 | ||
=== 11-limit === | === 11-limit === | ||
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Mapping: {{mapping| 1 3 2 6 7 | 0 -4 1 -9 -10 }} | Mapping: {{mapping| 1 3 2 6 7 | 0 -4 1 -9 -10 }} | ||
Optimal | Optimal tunings: | ||
* WE: ~2 = 1191.914{{c}}, ~5/4 = 419.372{{c}} | |||
* CWE: ~2 = 1200.000{{c}}, ~5/4 = 423.010{{c}} | |||
{{Optimal ET sequence|legend=0| 3de, 14, 17c, 37ccddee }} | {{Optimal ET sequence|legend=0| 3de, 14, 17c, 37ccddee }} | ||
Badness ( | Badness (Sintel): 1.406 | ||
=== 13-limit === | === 13-limit === | ||
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Mapping: {{mapping| 1 3 2 6 7 3 | 0 -4 1 -9 -10 2 }} | Mapping: {{mapping| 1 3 2 6 7 3 | 0 -4 1 -9 -10 2 }} | ||
Optimal | Optimal tunings: | ||
* WE: ~2 = 1194.045{{c}}, ~5/4 = 420.921{{c}} | |||
* CWE: ~2 = 1200.000{{c}}, ~5/4 = 423.402{{c}} | |||
{{Optimal ET sequence|legend=0| 3de, 14, 17c }} | {{Optimal ET sequence|legend=0| 3de, 14, 17c }} | ||
Badness ( | Badness (Sintel): 1.522 | ||
== Hemismate == | == Hemismate == | ||
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{{Mapping|legend=1| 1 3 2 3 | 0 -8 2 -1 }} | {{Mapping|legend=1| 1 3 2 3 | 0 -8 2 -1 }} | ||
: Mapping generators: ~2, ~8/7 | |||
[[Optimal tuning]] | [[Optimal tuning]]s: | ||
* [[WE]]: ~2 = 1192.090{{c}}, ~8/7 = 209.065{{c}} | |||
* [[CWE]]: ~2 = 1200.000{{c}}, ~8/7 = 210.778{{c}} | |||
{{Optimal ET sequence|legend=1| 6, 11, 17c, 40bcd }} | {{Optimal ET sequence|legend=1| 6, 11, 17c, 40bcd }} | ||
[[Badness]] ( | [[Badness]] (Sintel): 3.905 | ||
=== 11-limit === | === 11-limit === | ||
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Mapping: {{mapping| 1 3 2 3 4 | 0 -8 2 -1 -3 }} | Mapping: {{mapping| 1 3 2 3 4 | 0 -8 2 -1 -3 }} | ||
Optimal | Optimal tunings: | ||
* WE: ~2 = 1192.679{{c}}, ~8/7 = 209.197{{c}} | |||
* CWE: ~2 = 1200.000{{c}}, ~8/7 = 210.780{{c}} | |||
{{Optimal ET sequence|legend=0| 6, 11, 17c, 40bcde }} | {{Optimal ET sequence|legend=0| 6, 11, 17c, 40bcde }} | ||
Badness ( | Badness (Sintel): 2.166 | ||
=== 13-limit === | === 13-limit === | ||
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Mapping: {{mapping| 1 3 2 3 4 3 | 0 -8 2 -1 -3 4 }} | Mapping: {{mapping| 1 3 2 3 4 3 | 0 -8 2 -1 -3 4 }} | ||
Optimal | Optimal tunings: | ||
* WE: ~2 = 1194.135{{c}}, ~8/7 = 209.943{{c}} | |||
* CWE: ~2 = 1200.000{{c}}, ~8/7 = 211.116{{c}} | |||
{{Optimal ET sequence|legend=0| 6, 11, 17c }} | {{Optimal ET sequence|legend=0| 6, 11, 17c }} | ||
Badness ( | Badness (Sintel): 2.086 | ||
[[Category:Temperament families]] | [[Category:Temperament families]] | ||
[[Category:Smate family| ]] <!-- main article --> | [[Category:Smate family| ]] <!-- main article --> | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||