Luna family: Difference between revisions
→Hemiluna: - 11- and 13-limit (not necessarily canonical) |
Move subneutral here and note its gen isn't really subneutral in quality |
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Temperaments discussed elsewhere include: | Temperaments discussed elsewhere include: | ||
* [[Hemithirds]] (+3136/3125) → [[Hemimean clan #Hemithirds|Hemimean clan]] | * [[Hemithirds]] (+3136/3125) → [[Hemimean clan #Hemithirds|Hemimean clan]] | ||
The rest are considered below. | |||
== Lunatic == | == Lunatic == | ||
| Line 116: | Line 117: | ||
Badness (Sintel): 2.24 | Badness (Sintel): 2.24 | ||
== Subneutral == | |||
Subneutral tempers out 2401/2400, the [[breedsma]], and may be described as the {{nowrap| 31 & 441 }} temperament. Despite the name, the generator is only about 3 cents flat of the exact neutral third. | |||
[[Subgroup]]: 2.3.5.7 | |||
[[Comma list]]: 2401/2400, 274877906944/274658203125 | |||
{{Mapping|legend=1| 1 -41 8 -5 | 0 60 -8 11 }} | |||
: mapping generators: ~2, ~46875/28672 | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~2 = 1199.9998{{c}}, ~46875/28672 = 851.6994{{c}} (~57344/46875 = 348.3005{{c}}) | |||
: [[error map]]: {{val| -0.000 +0.013 +0.090 -0.132 }} | |||
* [[CWE]]: ~2 = 1200.0000{{c}}, ~46875/28672 = 851.6995{{c}} (~57344/46875 = 348.3005{{c}}) | |||
: error map: {{val| 0.000 +0.014 +0.090 -0.132 }} | |||
{{Optimal ET sequence|legend=1| 31, …, 348, 379, 410, 441, 1354, 1795, 2236 }} | |||
[[Badness]] (Sintel): 1.16 | |||
[[Category:Temperament families]] | [[Category:Temperament families]] | ||
[[Category:Luna family| ]] <!-- main article --> | [[Category:Luna family| ]] <!-- main article --> | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||