122edo: Difference between revisions

Line 2:

122 is flat in tendency, with the [[prime harmonic]]s from 3 to 13 tuned flat. ~~This~~ equal temperament [[tempers out]] 78732/78125 in the [[5-limit]]; 225/224 in the [[7-limit]]; [[385/384]] and [[4000/3993]] in the [[11-limit]]; and [[351/350]] and [[364/363]] in the [[13-limit]]. It provides the [[optimal patent val]] for the 7-limit [[tritonic]] temperament and the 11-limit [[Marvel temperaments #Tritoni|tritoni]] temperament, and the [[rank-3|planar]] temperament [[squalentine]].

122 is flat in tendency, with the [[prime harmonic]]s from 3 to 13 tuned flat. As an equal temperament, it [[tempering out|tempers out]] 78732/78125 ([[sensipent comma]]) in the [[5-limit]]; [[225/224]] in the [[7-limit]]; [[385/384]] and [[4000/3993]] in the [[11-limit]]; and [[351/350]] and [[364/363]] in the [[13-limit]]. It provides the [[optimal patent val]] for the 7-limit [[tritonic]] temperament and the 11-limit [[Marvel temperaments #Tritoni|tritoni]] temperament, and the [[rank-3|planar]] temperament [[squalentine]].

122 = [[55edo|55]] + [[67edo|67]], and so using the 122c [[val]] it is the [[convergent]] towards [[1/6-comma meantone]], with a fifth just a hundredth of a cent flatter.

=== Odd harmonics ===

Harmonic 25 (two 5/4 major thirds) is about halfway between 122edo's steps.

@@ Line 2: / Line 2: @@
 {{EDO intro}}
-is flat in tendency, with the [[prime harmonic]]s from 3 to 13 tuned flat. This equal temperament [[tempers out]] 78732/78125 in the [[5-limit]]; 225/224 in the [[7-limit]]; [[385/384]] and [[4000/3993]] in the [[11-limit]]; and [[351/350]] and [[364/363]] in the [[13-limit]]. It provides the [[optimal patent val]] for the 7-limit [[tritonic]] temperament and the 11-limit [[Marvel temperaments #Tritoni|tritoni]] temperament, and the [[rank-3|planar]] temperament [[squalentine]].
+is flat in tendency, with the [[prime harmonic]]s from 3 to 13 tuned flat. As an equal temperament, it [[tempering out|tempers out]] 78732/78125 ([[sensipent comma]]) in the [[5-limit]]; [[225/224]] in the [[7-limit]]; [[385/384]] and [[4000/3993]] in the [[11-limit]]; and [[351/350]] and [[364/363]] in the [[13-limit]]. It provides the [[optimal patent val]] for the 7-limit [[tritonic]] temperament and the 11-limit [[Marvel temperaments #Tritoni|tritoni]] temperament, and the [[rank-3|planar]] temperament [[squalentine]].
 = [[55edo|55]] + [[67edo|67]], and so using the 122c [[val]] it is the [[convergent]] towards [[1/6-comma meantone]], with a fifth just a hundredth of a cent flatter.
 === Odd harmonics ===
-{{Harmonics in equal|122|23=}}
+{{Harmonics in equal|122}}
 Harmonic 25 (two 5/4 major thirds) is about halfway between 122edo's steps.