666edo: Difference between revisions
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{{Infobox ET | |||
| Prime factorization = 2 × 3<sup>2</sup> × 37 | |||
| Step size = 1.8018¢ | |||
| Fifth = 390\666 (702.702¢) (→[[333edo|195\333]]) | |||
| Major 2nd = 114\666 (205.405¢) | |||
| Semitones = 66:48 (118.92¢:86.49¢) | |||
}} | |||
{{EDO prologue|666}} | {{EDO prologue|666}} | ||
== Theory == | == Theory == | ||
{{ | {{harmonics in equal|666}} | ||
666edo is appropriate for use with the 2.11.19.41.43 subgroup. If significant errors are allowed, 666edo can be used with 2.7.11.17.19.23. Harmonics from 2 to 17 for 666edo all land on even numbers, meaning its contorted order 2 and they ultimately derive from [[333edo]]. As such, 666edo provides the optimal patent val for [[novemkleismic]] temperament just as 333edo does. 666edo provides good approximations for: [[15/11]], [[16/11]], [[16/15]], [[13/12]], [[13/10]], [[22/15]], [[23/14]]. Its 11/8 ultimately derives from [[37edo]], and [[7/6]] from [[9edo]]. | 666edo is appropriate for use with the 2.11.19.41.43 subgroup. If significant errors are allowed, 666edo can be used with 2.7.11.17.19.23. Harmonics from 2 to 17 for 666edo all land on even numbers, meaning its contorted order 2 and they ultimately derive from [[333edo]]. As such, 666edo provides the optimal patent val for [[novemkleismic]] temperament just as 333edo does. 666edo provides good approximations for: [[15/11]], [[16/11]], [[16/15]], [[13/12]], [[13/10]], [[22/15]], [[23/14]]. Its 11/8 ultimately derives from [[37edo]], and [[7/6]] from [[9edo]]. | ||