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]]. | '''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 [[ | 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. | ||
{{primes in edo|122|columns=10|prec=3}} | {{primes in edo|122|columns=10|prec=3}} | ||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | ||
[[Category:Meantone]] | [[Category:Meantone]] | ||
Revision as of 09:24, 1 October 2023
| ← 121edo | 122edo | 123edo → |
122edo is the equal division of the octave into 122 parts of 9.836 cents each. It is the optimal patent val for 7-limit tritonic temperament and 11-limit tritoni temperament, and the planar squalentine temperament. It 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 * 61. 122=55+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. Script error: No such module "primes_in_edo".