Diminished (temperament): Difference between revisions
+ Infobox Regtemp; fix error (strongly consistent circle means tempered comma is less than 25% of a step, which is not the case) |
m Cleanup on infobox |
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| de = Verminderte Temperaturen | | de = Verminderte Temperaturen | ||
}} | }} | ||
{{Infobox | {{Infobox regtemp | ||
| Title = Diminished | | Title = Diminished | ||
| Subgroups = 2.3.5, 2.3.5.7 | | Subgroups = 2.3.5, 2.3.5.7 | ||
| Comma basis = [[648/625]] (2.3.5) | | Comma basis = [[648/625]] (2.3.5); <br>[[36/35]], [[50/49]] (2.3.5.7) | ||
| Edo join 1 = 4 | Edo join 2 = 12 | | Edo join 1 = 4 | Edo join 2 = 12 | ||
| Mapping = 4; 1 1 1 | | Mapping = 4; 1 1 1 | ||
| | | Generators = 3/2 | ||
| | | Generators tuning = 696.0 | ||
| Optimization method = CWE | | Optimization method = CWE | ||
| MOS scales = [[4L 4s]], [[4L 8s]], [[12L 4s]] | | MOS scales = [[4L 4s]], [[4L 8s]], [[12L 4s]] | ||
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| Color name = Quadguti | | Color name = Quadguti | ||
| Odd limit 1 = 5 | Mistuning 1 = 15.6 | Complexity 1 = 8 | | Odd limit 1 = 5 | Mistuning 1 = 15.6 | Complexity 1 = 8 | ||
| Odd limit 2 = | | Odd limit 2 = 7-limit 21 | Mistuning 2 = 33.1 | Complexity 2 = 12 | ||
}} | }} | ||
'''Diminished''' is a [[rank-2 temperament|rank-2]] [[regular temperament|temperament]] that [[tempering out|tempers out]] the diminished comma, [[648/625]], in the [[5-limit]], and [[36/35]] and [[50/49]] in the [[7-limit]]. It has a 1/4-[[octave]] [[period]] and is [[generator|generated]] by a [[~]][[3/2]] perfect fifth. The main interest in this temperament is in its [[mos scale]]s, featuring [[tetrawood]] (4L 4s) when properly tuned. | '''Diminished''' is a [[rank-2 temperament|rank-2]] [[regular temperament|temperament]] that [[tempering out|tempers out]] the diminished comma, [[648/625]], in the [[5-limit]], and [[36/35]] and [[50/49]] in the [[7-limit]]. It has a 1/4-[[octave]] [[period]] and is [[generator|generated]] by a [[~]][[3/2]] perfect fifth. The main interest in this temperament is in its [[mos scale]]s, featuring [[tetrawood]] (4L 4s) when properly tuned. | ||