122edo: Difference between revisions

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'''122edo''' is the [[Equal_division_of_the_octave|equal division of the octave]] into 122 parts of 9.836 [[cent|cent]]s each. It is the [[Optimal_patent_val|optimal patent val]] for 7-limit [[Marvel_temperaments|tritonic temperament]] and 11-limit [[Marvel_temperaments|tritoni temperament]], and the planar [[Squalentine_temperament|squalentine temperament]]. It [[tempering_out|tempers out]] 78732/78125 in the [[5-limit|5-limit]], 225/224 in the [[7-limit|7-limit]], 385/384 and 4000/3993 in the [[11-limit|11-limit]], and 351/350 and 364/363 in the [[13-limit|13-limit]].

122 is flat in tendency, with the odd primes from 3 to 13 tuned flat. 122 = 2 * [[61edo|61]]. 122=[[55edo|55]]+[[67edo|67]], and so using the c val it is the convergent towards [[1/6-comma meantone]], with a fifth just a hundredth of a cent flatter.

It is the [[optimal patent val]] for the 7-limit [[tritonic]] temperament and the 11-limit [[Marvel temperaments #Tritoni|tritoni]] temperament, and the planar [[squalentine]] temperament. It [[tempering out|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]].

122 is flat in tendency, with the odd primes from 3 to 13 tuned flat. 122 = 2 × [[61edo|61]]. 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 ===

~~[[Category:Equal divisions of the octave|###]] ~~

[[Category:Meantone]]

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 {{Infobox ET}}
-'''122edo''' is the [[Equal_division_of_the_octave|equal division of the octave]] into 122 parts of 9.836 [[cent|cent]]s each. It is the [[Optimal_patent_val|optimal patent val]] for 7-limit [[Marvel_temperaments|tritonic temperament]] and 11-limit [[Marvel_temperaments|tritoni temperament]], and the planar [[Squalentine_temperament|squalentine temperament]]. It [[tempering_out|tempers out]] 78732/78125 in the [[5-limit|5-limit]], 225/224 in the [[7-limit|7-limit]], 385/384 and 4000/3993 in the [[11-limit|11-limit]], and 351/350 and 364/363 in the [[13-limit|13-limit]].
+{{EDO intro}}
-is flat in tendency, with the odd primes from 3 to 13 tuned flat. 122 = 2 * [[61edo|61]]. 122=[[55edo|55]]+[[67edo|67]], and so using the c val it is the convergent towards [[1/6-comma meantone]], with a fifth just a hundredth of a cent flatter.
+It is the [[optimal patent val]] for the 7-limit [[tritonic]] temperament and the 11-limit [[Marvel temperaments #Tritoni|tritoni]] temperament, and the planar [[squalentine]] temperament. It [[tempering out|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]].
-{{harmonics in equal|122}}
+is flat in tendency, with the odd primes from 3 to 13 tuned flat. 122 = 2 × [[61edo|61]]. 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 ===
+{{Harmonics in equal|122}}
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
 [[Category:Meantone]]