213edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro}}
{{ED intro}}


213edo is [[consistency|(uniquely) consistent]] through the [[7-odd-limit]], but [[harmonic]]s [[3/1|3]] and [[5/1|5]] are about halfway between its steps. Higher [[prime harmonic|prime]]s are slightly better tuned. Moreover, intervals involving a factor of 5/3 or 15 are quite well approximated. Thus it makes sense to view this as a 2.9.15.7.11.13 [[subgroup]] temperament.  
213edo is [[consistency|(uniquely) consistent]] through the [[7-odd-limit]], but [[harmonic]]s [[3/1|3]] and [[5/1|5]] are about halfway between its steps. Higher [[prime harmonic|prime]]s are slightly better tuned. Moreover, intervals involving a factor of 5/3 or 15 are quite well approximated. Thus it makes sense to view this as a 2.9.15.7.11.13 [[subgroup]] temperament.