422edo: Difference between revisions

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The ''422 equal division'' divides the octave into 422 equal parts of 2.844 cents each. It is a [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta peak edo]], though not zeta integral nor zeta gap, and is distinctly consistent through the 27 limit. In the 5-limit it tempers out the vishnuzma, |23 6 -14>; and in the 7-limit 4375/4374 and 589824/588245 so that it [[support]]s [[Ragismic_microtemperaments#Gamera|gamera temperament]], and provides its [[Optimal_patent_val|optimal patent val]], and also supports the 118&152 temperament. A basis for the 11-limit is 3025/3024, 4375/4374, 5632/5625 and 825000/823543.
The '''422 equal division of the octave''' divides the octave into 422 equal parts of 2.844 [[cent]]s each.  
[[Category:gamera]]
 
[[Category:vishnuzma]]
422edo is a [[The Riemann zeta function and tuning #Zeta EDO lists|zeta peak edo]], though not zeta integral nor zeta gap, and is distinctly [[consistent]] through the [[27-odd-limit]]. In the 5-limit it tempers out the [[vishnuzma]], {{monzo| 23 6 -14 }}; and in the 7-limit [[4375/4374]] and 589824/588245 so that it [[support]]s the [[gamera]] temperament, and provides its [[optimal patent val]], and also supports the [[vishnu]] temperament. A basis for the 11-limit is 3025/3024, 4375/4374, 5632/5625 and 825000/823543.  
 
[[Category:Equal divisions of the octave]]
[[Category:Gamera]]
[[Category:Vishnu]]

Revision as of 13:49, 28 January 2022

The 422 equal division of the octave divides the octave into 422 equal parts of 2.844 cents each.

422edo is a zeta peak edo, though not zeta integral nor zeta gap, and is distinctly consistent through the 27-odd-limit. In the 5-limit it tempers out the vishnuzma, [23 6 -14; and in the 7-limit 4375/4374 and 589824/588245 so that it supports the gamera temperament, and provides its optimal patent val, and also supports the vishnu temperament. A basis for the 11-limit is 3025/3024, 4375/4374, 5632/5625 and 825000/823543.