1643edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|1643}}
{{ED intro}}


== Theory ==
1643edo is the multiple of two very famous edos: [[31edo]] and [[53edo]].
 
The best subgroup for it is the 2.3.5.11.13 [[subgroup]]. Nonetheless, it provides the [[optimal patent val]] for the 13-limit version of [[Mercator family#Iodine|iodine]] temperament, which tempers out the [[Mercator's comma]] and has a basis 6656/6655, 34398/34375, 43904/43875, 59535/59488.
 
=== Odd harmonics ===
{{Harmonics in equal|1643}}
{{Harmonics in equal|1643}}
1643edo is the multiple of two very famous EDOs: [[31edo]] and [[53edo]].
The best subgroup for it is the 2.3.5.9.11.13.15 subgroup. Nonetheless, it provides the optimal patent val for the 13-limit version of [[Mercator family#Iodine|iodine]] temperament, which tempers out the Mercator's comma and has a basis 6656/6655, 34398/34375, 43904/43875, 59535/59488.