Llywelynsmic clan: Difference between revisions
Units, misc. cleanup |
+ badnesses. Adopt WE & CWE tunings |
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== Llywelyn a.k.a. shoe == | == Llywelyn a.k.a. shoe == | ||
Llywelyn a.k.a. shoe can be described as the {{nowrap| 16 & 21 }} temperament. | Llywelyn a.k.a. shoe can be described as the {{nowrap| 16 & 21 }} temperament, generated by a flattened [[~]][[8/7]] whole tone, seven of which give the interval class of [[5/1|5]]. Its [[ploidacot]] is alpha-heptaseph. | ||
[[Subgroup]]: 2.5.7 | [[Subgroup]]: 2.5.7 | ||
| Line 10: | Line 10: | ||
{{Mapping|legend=2| 1 1 3 | 0 7 -1 }} | {{Mapping|legend=2| 1 1 3 | 0 7 -1 }} | ||
{{Mapping|legend=3| 1 0 1 3 | 0 0 7 -1 }} | {{Mapping|legend=3| 1 0 1 3 | 0 0 7 -1 }} | ||
: mapping generators: ~2, ~8/7 | |||
[[Optimal tuning]] | [[Optimal tuning]]s: | ||
* [[WE]]: ~2 = 1199.1974{{c}}, ~8/7 = 226.7586{{c}} | |||
: [[error map]]: {{val| -0.803 +0.194 +2.008 }} | |||
* [[CWE]]: ~2 = 1200.0000{{c}}, ~8/7 = 226.8388{{c}} | |||
: error map: {{val| 0.000 +1.558 +4.335 }} | |||
{{Optimal ET sequence|legend=1| 5, 11c, 16, 21, 37, 164d }} | {{Optimal ET sequence|legend=1| 5, 11c, 16, 21, 37, 164d }} | ||
[[Badness]] (Sintel): 2.06 | |||
=== Overview to extensions === | === Overview to extensions === | ||
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Gencom mapping: {{mapping| 1 0 1 3 1 | 0 0 7 -1 13 }} | Gencom mapping: {{mapping| 1 0 1 3 1 | 0 0 7 -1 13 }} | ||
Optimal | Optimal tunings: | ||
* WE: ~2 = 1199.1784{{c}}, ~8/7 = 226.9582{{c}} | |||
* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 227.0438{{c}} | |||
{{Optimal ET sequence|legend=0| 16, 21, 37, 206cd }} | {{Optimal ET sequence|legend=0| 16, 21, 37, 206cd, 243cd, …, 354ccdd }} | ||
Badness (Sintel): 0.651 | |||
=== 2.5.7.11.13 subgroup === | === 2.5.7.11.13 subgroup === | ||
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Gencom mapping: {{mapping| 1 0 1 3 1 2 | 0 0 7 -1 13 9 }} | Gencom mapping: {{mapping| 1 0 1 3 1 2 | 0 0 7 -1 13 9 }} | ||
Optimal | Optimal tunings: | ||
* WE: ~2 = 1199.1643{{c}}, ~8/7 = 226.9495{{c}} | |||
* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 227.0315{{c}} | |||
{{Optimal ET sequence|legend=0| 16, 21, 37, 206cdf }} | {{Optimal ET sequence|legend=0| 16, 21, 37, 206cdf, 243cdf, …, 354ccddff }} | ||
Badness (Sintel): 0.319 | |||
=== 2.5.7.11.13.17 subgroup === | === 2.5.7.11.13.17 subgroup === | ||
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Gencom mapping: {{mapping| 1 0 1 3 1 2 2 | 0 0 7 -1 13 9 11 }} | Gencom mapping: {{mapping| 1 0 1 3 1 2 2 | 0 0 7 -1 13 9 11 }} | ||
Optimal | Optimal tunings: | ||
* WE: ~2 = 1199.3162{{c}}, ~8/7 = 227.1125{{c}} | |||
* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 227.1774{{c}} | |||
{{Optimal ET sequence|legend=0| 16, 21, 37, 95 }} | {{Optimal ET sequence|legend=0| 16, 21, 37, 95 }} | ||
Badness (Sintel): 0.458 | |||
[[Category:Temperament clans]] | [[Category:Temperament clans]] | ||
[[Category:Llywelynsmic clan| ]] <!-- main article --> | [[Category:Llywelynsmic clan| ]] <!-- main article --> | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||