669edo: Difference between revisions

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{{EDO intro|669}}
{{EDO intro|669}}


669edo is consistent in the 7-odd-limit, although it has significant errors on the 3rd and the 5th harmonics. Besides that, 669c val is a tuning for the [[sensipent]] temperament in the 5-limit.  
669edo is [[consistent]] in the [[7-odd-limit]], although it has significant errors on the [[3/1|3rd]] and the [[5/1|5th]] [[harmonic]]s. Besides that, 669c [[val]] is a tuning for the [[sensipent]] temperament in the 5-limit.  


669edo appears much more useful as a higher-limit system, with harmonics 37 through 53 all having an error of 20% or less, with a comma basis for the 2.37.41.43.47.53 subgroup being {75809/75776, 1874161/1873232, 151124317/151101728, 9033613312/9032089499, 9795995841727/9788230467584}.
669edo appears better at approximating higher harmonics, with harmonics 37 through 53 all having an error of 20% or less, with a [[comma basis]] for the 2.37.41.43.47.53 [[subgroup]] being {75809/75776, 1874161/1873232, 151124317/151101728, 9033613312/9032089499, 9795995841727/9788230467584}. Overall, the subgroup which provides satisfactory results for 669edo is 2.7.19.29.37.41.43.47.53.


Overall, the subgroup which provides satisfactory results for 669edo is 2.7.19.29.37.41.43.47.53.
=== Odd harmonics ===
 
{{Harmonics in equal|669}}
===Harmonics===
{{harmonics in equal|669}}