22nd-octave temperaments: Difference between revisions

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''Major arcana'' is named after a [[wikipedia:Major Arcana|subset of Tarot cards of which there is 22]] and it tempers out the {{monzo|-193 154 -22}} comma in the 5-limit.

It is similar to the icosidillic temperament, having the same [[pergen]] (P8/22, P5), however while icosidillic is merely an extension of [[Miscellaneous 5-limit temperaments#Hendecatonic|5-limit hendecatonic]], major arcana stands as a an independent and properly not [[enfactoring|enfactored]] 22nd-octave comma.

It is similar to the icosidillic temperament, having the same [[pergen]] (P8/22, P5), however while icosidillic is merely an extension of [[Miscellaneous 5-limit temperaments#Hendecatonic|5-limit hendecatonic]], major arcana stands as an independent and properly not [[enfactoring|enfactored]] 22nd-octave comma.

An extension is possible to the 7-limit as the 506 & 682 temperament, however due to inconsistency the temperament branches at the 11-limit. Although notably, a 2.3.5.11/7 extension of remarkably low badness, described as 1848 & 1342, is prescribed. [[1848edo]] as a whole is also a strong tuning despite being only in the optimal ET sequence for 2.3.5.11/7 subgroup version.

@@ Line 49: / Line 49: @@
 ''Major arcana'' is named after a [[wikipedia:Major Arcana|subset of Tarot cards of which there is 22]] and it tempers out the {{monzo|-193 154 -22}} comma in the 5-limit.
-It is similar to the icosidillic temperament, having the same [[pergen]] (P8/22, P5), however while icosidillic is merely an extension of [[Miscellaneous 5-limit temperaments#Hendecatonic|5-limit hendecatonic]], major arcana stands as a an independent and properly not [[enfactoring|enfactored]] 22nd-octave comma.
+It is similar to the icosidillic temperament, having the same [[pergen]] (P8/22, P5), however while icosidillic is merely an extension of [[Miscellaneous 5-limit temperaments#Hendecatonic|5-limit hendecatonic]], major arcana stands as an independent and properly not [[enfactoring|enfactored]] 22nd-octave comma.
 An extension is possible to the 7-limit as the 506 & 682 temperament, however due to inconsistency the temperament branches at the 11-limit. Although notably, a 2.3.5.11/7 extension of remarkably low badness, described as 1848 & 1342, is prescribed. [[1848edo]] as a whole is also a strong tuning despite being only in the optimal ET sequence for 2.3.5.11/7 subgroup version.