Keemun: Difference between revisions
Rework interval table |
Rework infobox |
||
| Line 1: | Line 1: | ||
{{Infobox regtemp | {{Infobox regtemp | ||
| Title = Keemun | | Title = Keemun | ||
| Subgroups = 2.3.5.7, 2.3.5.7.11 | | Subgroups = 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13 | ||
| Comma basis = [[49/48]], [[126/125]] (7-limit); <br>[[49/48]], [[56/55]], [[100/99]] (11-limit) | | Comma basis = [[49/48]], [[126/125]] (7-limit); <br>[[49/48]], [[56/55]], [[100/99]] (11-limit); <br>[[49/48]], [[56/55]], [[91/90]], [[100/99]] (13-limit) | ||
| Edo join 1 = 15 | Edo join 2 = 19 | | Edo join 1 = 15 | Edo join 2 = 19 | ||
| Mapping = 1; 6 5 3 -2 | | Mapping = 1; 6 5 3 -2 14 | ||
| Generators = 6/5 | Generators tuning = 317. | | Generators = 6/5 | Generators tuning = 317.4 | Optimization method = CWE | ||
| MOS scales = [[4L 3s]], [[4L 7s]], [[4L 11s]], [[15L 4s]] | | MOS scales = [[4L 3s]], [[4L 7s]], [[4L 11s]], [[15L 4s]] | ||
| Pergen = (P8, P12/6) | | Pergen = (P8, P12/6) | ||
| Odd limit 1 = | | Odd limit 1 = 9 | Mistuning 1 = 17.8 | Complexity 1 = 15 | ||
| Odd limit 2 = | | Odd limit 2 = 13 | Mistuning 2 = 27.3 | Complexity 2 = 19 | ||
}} | }} | ||
'''Keemun''' is an [[extension]] of the [[hanson]] temperament, and [[tempering out|tempers out]] [[49/48]], [[56/55]], and [[100/99]] in the [[11-limit]]. This means it uses the same simple mappings for the 7th and 11th harmonics as [[orgone]]. Unfortunately, the optimal tunings for the 3rd and 5th harmonics is substantially flatter than that for the 7th & 11th ones, requiring you to compromise one set for the other. The edos that support keemun in their patent vals are [[4edo]], [[15edo]], [[19edo]], and [[34edo]], with [[49edo|49d]] and [[64edo|64bde]] coming closer to balancing the errors equally. | '''Keemun''' is an [[extension]] of the [[hanson]] temperament, and [[tempering out|tempers out]] [[49/48]], [[56/55]], and [[100/99]] in the [[11-limit]]. This means it uses the same simple mappings for the 7th and 11th harmonics as [[orgone]]. Unfortunately, the optimal tunings for the 3rd and 5th harmonics is substantially flatter than that for the 7th & 11th ones, requiring you to compromise one set for the other. The edos that support keemun in their patent vals are [[4edo]], [[15edo]], [[19edo]], and [[34edo]], with [[49edo|49d]] and [[64edo|64bde]] coming closer to balancing the errors equally. | ||