622edo: Difference between revisions

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== ~~Theory~~ ==

622edo is [[enfactoring|enfactored]] in the 41-limit, having the same tuning as the highly notable [[311edo]]. In that regard, 622edo is a [[Compound scale|compound]] of two 311edos that don't intersect, and provides barely anything new apart from most characteristics of what it doubles.

~~As the double~~ of ~~[[311edo]] it provides much needed correction to~~ harmonics ~~such as the 43rd harmonic, however, its consistency limit is drastically reduced compared to 311.~~

622edo has potential as an add-43 system, correcting 311edo's mapping for [[43/32|43]], which is the first harmonic not represented consistently by 311edo. Some 43-limit commas it tempers out are 1849/1848, 1850/1849, 50000/49923, 59168/59049, 300125/299538, 6837602/6834375, 1048576/1048383.

=== Prime harmonics ===

{{Harmonics in equal|622|start=14|columns=13|collapsed=1|title=Approximation of prime harmonics in 622edo (continued)}}

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 {{Infobox ET}}
-{{EDO intro|622}}
+{{ED intro}}
-== Theory ==
+edo is [[enfactoring|enfactored]] in the 41-limit, having the same tuning as the highly notable [[311edo]]. In that regard, 622edo is a [[Compound scale|compound]] of two 311edos that don't intersect, and provides barely anything new apart from most characteristics of what it doubles.
-{{Harmonics in equal|622|columns=12}}
-As the double of [[311edo]] it provides much needed correction to harmonics such as the 43rd harmonic, however, its consistency limit is drastically reduced compared to 311.
+edo has potential as an add-43 system, correcting 311edo's mapping for [[43/32|43]], which is the first harmonic not represented consistently by 311edo. Some 43-limit commas it tempers out are 1849/1848, 1850/1849, 50000/49923, 59168/59049, 300125/299538, 6837602/6834375, 1048576/1048383.
+=== Prime harmonics ===
+{{Harmonics in equal|622|columns=13}}
+{{Harmonics in equal|622|start=14|columns=13|collapsed=1|title=Approximation of prime harmonics in 622edo (continued)}}