Wizard: Difference between revisions
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{{Infobox regtemp | |||
| Title = Wizard | |||
| Subgroups = 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.17 | |||
| Comma basis = [[225/224]], [[118098/117649]] (7-limit); <br>[[225/224]], [[385/384]], [[4000/3993]] (11-limit); <br>[[225/224]], [[289/288]], [[385/384]], [[561/560]]<br>(2.3.5.7.11.17) | |||
| Edo join 1 = 22 | Edo join 2 = 72 | |||
| Mapping = 2; 6 -1 10 -3 6 | |||
| Generators = 17/15 | Generators tuning = 216.8 | Optimization method = CWE | |||
| MOS scales = [[6L 4s]], [[6L 10s]], [[6L 16s]], [[22L 6s]] | |||
| Odd limit 1 = 9 | Mistuning 1 = 3.05 | Complexity 1 = 28 | |||
| Odd limit 2 = 11-limit 21 | Mistuning 2 = 3.05 | Complexity 2 = 50 | |||
}} | |||
'''Wizard''' is a half-octave [[regular temperament|temperament]] [[generator|generated]] by a wide whole tone of about 217 cents which is the semi-octave complement of [[~]][[5/4]]. Six generators minus a semi-octave represents [[3/2]], and ten generators minus a full octave represents [[7/4]], [[tempering out]] the commas [[225/224]] and [[stearnsma|118098/117649]]. | '''Wizard''' is a half-octave [[regular temperament|temperament]] [[generator|generated]] by a wide whole tone of about 217 cents which is the semi-octave complement of [[~]][[5/4]]. Six generators minus a semi-octave represents [[3/2]], and ten generators minus a full octave represents [[7/4]], [[tempering out]] the commas [[225/224]] and [[stearnsma|118098/117649]]. | ||