Breedsmic temperaments: Difference between revisions
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== Newt == | == Newt == | ||
Newt tempers out the [[garischisma]] and can be described as the {{nowrap| 41 & 270 }} temperament. It has a generator of a neutral third (0.2 cents flat of [[49/40]]) with a [[ploidacot]] signature of dicot. | Newt tempers out the [[garischisma]] and can be described as the {{nowrap| 41 & 270 }} temperament. It has a generator of a neutral third (0.2 cents flat of [[49/40]]) with a [[ploidacot]] signature of dicot. 41 generator steps fall short of 12 octaves by a [[schisma]]~[[aberschisma]]. From there the intervals of 5 and 7 can be derived. | ||
Newt continues to be significant as an [[11-limit]] temperament. The commas it tempers out include the [[lehmerisma]] (3025/3024), the [[symbiotic comma]] (19712/19683), the [[argyria]] (41503/41472), and the [[olympia]] (131072/130977). This extends into a strong [[13-limit]] temperament and eventually a strong no-17 [[19-limit]] temperament, a.k.a. '''neonewt'''. [[270edo]] and [[311edo]] are obvious tuning choices, but [[581edo]] and especially [[851edo]] work even better. | |||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||