Kleismic: Difference between revisions
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{{ | {{Interwiki | ||
| en = Kleismic | |||
| de = Hanson-Kleismisch | | de = Hanson-Kleismisch | ||
}} | }} | ||
{{Infobox regtemp | {{Infobox regtemp | ||
| Title = Kleismic | | Title = Kleismic | ||
| Subgroups = 2.3.5, 2.3.5.13 | | Subgroups = 2.3.5, 2.3.5.13 | ||
| Comma basis = [[15625/15552]] (2.3.5); <br> [[325/324]], [[625/624]] (2.3.5.13) | | Comma basis = [[15625/15552]] (2.3.5); <br>[[325/324]], [[625/624]] (2.3.5.13) | ||
| Edo join 1 = 15 | Edo join 2 = 19 | | Edo join 1 = 15 | Edo join 2 = 19 | ||
| | | Mapping = 1; 6 5 14 | ||
| Generators = 6/5 | Generators tuning = 317.1 | Optimization method = CWE | |||
| MOS scales = [[3L 1s]], [[4L 3s]], [[4L 7s]], [[4L 11s]], [[15L 4s]] | | MOS scales = [[3L 1s]], [[4L 3s]], [[4L 7s]], [[4L 11s]], [[15L 4s]] | ||
| Pergen = (P8, P12/6) | | Pergen = (P8, P12/6) | ||
| Color name = Tribiyoti | | Color name = Tribiyoti | ||
| Odd limit 1 = 5 | Mistuning 1 = 1.35 | Complexity 1 = 7 | | Odd limit 1 = 5 | Mistuning 1 = 1.35 | Complexity 1 = 7 | ||
| Odd limit 2 = | | Odd limit 2 = 2.3.5.13 15 | Mistuning 2 = 2.35 | Complexity 2 = 15 | ||
}} | }} | ||
'''Kleismic''', alternatively called '''hanson''' in the [[5-limit]], is a [[rank-2 temperament|rank-2]] [[regular temperament|temperament]] and parent of the [[kleismic family]], [[generator|generated]] by a [[6/5|classical minor third (6/5)]], six of which stacked are equated to the [[3/1|perfect twelfth (3/1)]], and thereby characterized by the vanishing of the [[15625/15552|kleisma]] ([[ratio]]: 15625/15552, {{monzo|legend=1| -6 -5 6 }}). | '''Kleismic''', alternatively called '''hanson''' in the [[5-limit]], is a [[rank-2 temperament|rank-2]] [[regular temperament|temperament]] and parent of the [[kleismic family]], [[generator|generated]] by a [[6/5|classical minor third (6/5)]], six of which stacked are equated to the [[3/1|perfect twelfth (3/1)]], and thereby characterized by the vanishing of the [[15625/15552|kleisma]] ([[ratio]]: 15625/15552, {{monzo|legend=1| -6 -5 6 }}). | ||