42edo: Difference between revisions

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42edo has a [[patent val]] [[3/2|fifth]] (the step of which is not from [[7edo]], this being a first for edos of the form 7''n'') and a third both over 12 cents sharp, using the same 400-cent interval to represent [[5/4]] as does [[12edo]], which means it [[tempering out|tempers out]] [[128/125]]. In the [[7-limit]], it tempers out [[64/63]] and [[126/125]], making it a tuning [[support]]ing the [[augene]] temperament.

~~A sampling of other temperaments it supports are~~ [[~~comic~~]]~~, [[crepuscular]], [[cypress]],~~ [[Augmented family#eugene|eugene]], [[lemba]] and [[qeema]].

42edo is on the [[optimal ET sequence]] of the [[Augmented family#eugene|eugene]], [[lemba]] and [[qeema]] temperaments.

While not an accurate tuning on the full 7-limit, 42edo does an excellent job on the 2.9.15.7.33.39 [[k*N subgroups|2*42 subgroup]], having the same tuning on it as does [[84edo]]. On this subgroup 42 has the same [[comma]]s as 84.

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 edo has a [[patent val]] [[3/2|fifth]] (the step of which is not from [[7edo]], this being a first for edos of the form 7''n'') and a third both over 12 cents sharp, using the same 400-cent interval to represent [[5/4]] as does [[12edo]], which means it [[tempering out|tempers out]] [[128/125]]. In the [[7-limit]], it tempers out [[64/63]] and [[126/125]], making it a tuning [[support]]ing the [[augene]] temperament.
-A sampling of other temperaments it supports are [[comic]], [[crepuscular]], [[cypress]], [[Augmented family#eugene|eugene]], [[lemba]] and [[qeema]].
+edo is on the [[optimal ET sequence]] of the [[Augmented family#eugene|eugene]], [[lemba]] and [[qeema]] temperaments.
 While not an accurate tuning on the full 7-limit, 42edo does an excellent job on the 2.9.15.7.33.39 [[k*N subgroups|2*42 subgroup]], having the same tuning on it as does [[84edo]]. On this subgroup 42 has the same [[comma]]s as 84.