1375/1372: Difference between revisions
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{{Infobox | {{Infobox interval | ||
| Name = moctdel comma | | Name = moctdel comma | ||
| Color name = 1or<sup>3</sup>y<sup>3</sup>-3, lotriruyo negative 3rd, <br>Lotriruyo comma | | Color name = 1or<sup>3</sup>y<sup>3</sup>-3, lotriruyo negative 3rd, <br>Lotriruyo comma | ||
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== Temperaments == | == Temperaments == | ||
Tempering out this comma leads to the rank-4 '''moctdel''' | Tempering out this comma leads to the rank-4 '''moctdel temperament''' in the full [[11-limit]], and moctdelic temperament in its minimal prime [[subgroup]] of 2.5.7.11. | ||
In the 2.7/5.11 subgroup it creates a very efficient temperament with a generator of 7/5, two of which equals [[55/28]] and three of which equals [[11/4]] as discussed. If we split the generator in 3, we get [[~]][[28/25]] which is notable as the difference between [[5/4]] and [[7/5]] so that two gens finds 5/4, four gens finds [[25/16]]~[[11/7]] and seven gens finds [[11/5]], which is the (no-3's) 11-limit version of [[didacus]], a very strong temperament of the 2.5.7.11 subgroup. | In the 2.7/5.11 subgroup it creates a very efficient temperament with a generator of 7/5, two of which equals [[55/28]] and three of which equals [[11/4]] as discussed. If we split the generator in 3, we get [[~]][[28/25]] which is notable as the difference between [[5/4]] and [[7/5]] so that two gens finds 5/4, four gens finds [[25/16]]~[[11/7]] and seven gens finds [[11/5]], which is the (no-3's) 11-limit version of [[didacus]], a very strong temperament of the 2.5.7.11 subgroup. | ||
=== Moctdelic === | |||
[[Comma list]]: 1375/1372 | |||
[[Subgroup]]: 2.5.7.11 | |||
{{Mapping|legend=1| 1 0 0 2 | 0 1 0 -3 | 0 0 1 3 }} | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~2 = 1200.056¢, ~5 = 2785.862¢, ~7 = 3369.486¢ | |||
* [[CWE]]: ~2 = 1200.000¢, ~5 = 2785.789¢, ~7 = 3369.416¢ | |||
{{Optimal ET sequence|legend=1| 25, 29, 31, 37 }} | |||
[[Badness]] (Sintel): 0.110 | |||
== See also == | == See also == | ||
* [[Small comma]] | * [[Small comma]] | ||
* [[Moctdel clan]] | * [[Moctdel clan]] | ||
[[Category:Moctdel]] | [[Category:Moctdel]] | ||
[[Category:Commas named by combining multiple temperament names]] | [[Category:Commas named by combining multiple temperament names]] | ||