Catakleismic: Difference between revisions
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{{Infobox regtemp | |||
| Title = Catakleismic | |||
| Subgroups = 2.3.5.7, 2.3.5.7.13, 2.3.5.7.11.13 | |||
| Comma basis = [[225/224]], [[4375/4374]] (7-limit); <br>[[169/168]], [[225/224]], [[325/324]] (2.3.5.7.13); <br>[[169/168]], [[225/224]], [[325/324]], [[385/384]] <br>(13-limit) | |||
| Edo join 1 = 53 | Edo join 2 = 72 | |||
| Mapping = 1; 6 5 22 -21 14 | |||
| Generators = 6/5 | Generators tuning = 316.7 | Optimization method = CWE | |||
| MOS scales = [[4L 7s]], [[4L 11s]], [[15L 4s]], [[15L 19s]] | |||
| Odd limit 1 = 9 | Mistuning 1 = ??? | Complexity 1 = 34 | |||
| Odd limit 2 = 13-limit 21 | Mistuning 2 = ??? | Complexity 2 = 53 | |||
}} | |||
The '''catakleismic''' [[regular temperament|temperament]] is one of the best [[7-limit]] [[extension]]s of [[hanson]], the [[5-limit]] temperament [[tempering out]] the [[15625/15552|kleisma]] (15625/15552), though it is naturally viewed as a [[2.3.5.7.13 subgroup|2.3.5.7.13-]][[subgroup]] temperament, first extending hanson to include the [[harmonic]] [[13/1|13]] (called [[cata]]), and then to include [[7/1|7]]. | The '''catakleismic''' [[regular temperament|temperament]] is one of the best [[7-limit]] [[extension]]s of [[hanson]], the [[5-limit]] temperament [[tempering out]] the [[15625/15552|kleisma]] (15625/15552), though it is naturally viewed as a [[2.3.5.7.13 subgroup|2.3.5.7.13-]][[subgroup]] temperament, first extending hanson to include the [[harmonic]] [[13/1|13]] (called [[cata]]), and then to include [[7/1|7]]. | ||