2912edo: Difference between revisions

Eliora (talk | contribs)
note that it's not just any tuning but a member of optimal et sequence close to pote
Eliora (talk | contribs)
fix subgroup
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2912edo is [[consistent]] to the [[7-odd-limit]], but the error on [[3/2|3]] and [[5/4|5]] is quite large, commending it to a [[dual-fifth]] interpretation. As a dual-fifth system, its sharp and flat approximations to 3/2 come from two notable systems - [[364edo]] and [[224edo]] (see the template to the right).  
2912edo is [[consistent]] to the [[7-odd-limit]], but the error on [[3/2|3]] and [[5/4|5]] is quite large, commending it to a [[dual-fifth]] interpretation. As a dual-fifth system, its sharp and flat approximations to 3/2 come from two notable systems - [[364edo]] and [[224edo]] (see the template to the right).  


Aside from the patent val, there is a number of mappings to be considered. 2912dd val provides a tuning close to [[POTE]] tuning for the [[tokko]] temperament, and 2912e val tunes [[skadi]]. 2912edo can be used with 2.5/3.7.9.11 subgroup, with optional additions of [[15/8|15]] or [[19/16|19]].
Aside from the patent val, there is a number of mappings to be considered. 2912dd val provides a tuning close to [[POTE]] tuning for the [[tokko]] temperament, and 2912e val tunes [[skadi]]. 2912edo can be used with 2.7.9.11.15.19 subgroup.
=== Odd harmonics ===
=== Odd harmonics ===
{{Harmonics in equal|2912}}
{{Harmonics in equal|2912}}