122edo: Difference between revisions

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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]].
'''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]].



Revision as of 18:53, 4 October 2022

← 121edo 122edo 123edo →
Prime factorization 2 × 61
Step size 9.83607 ¢ 
Fifth 71\122 (698.361 ¢)
Semitones (A1:m2) 9:11 (88.52 ¢ : 108.2 ¢)
Dual sharp fifth 72\122 (708.197 ¢) (→ 36\61)
Dual flat fifth 71\122 (698.361 ¢)
Dual major 2nd 21\122 (206.557 ¢)
Consistency limit 7
Distinct consistency limit 7

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".