269edo: Difference between revisions

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'''269edo''' is the [[EDO|equal division of the octave]] into 269 parts of 4.4610 [[cent]]s each. The patent val tempers out 6144/6125 in the 7-limit, 540/539 and 5632/5625 in the 11-limit and 364/363 and 676/675 in the 13-limit. The 269c val tempers out 225/224 and 4375/4374 in the 7-limit, and 269ce 385/384 in the 11-limit, so that it [[support]]s and provides an excellent tuning for [[Kleismic_family#Catakleismic|catakleismic]] and [[Marvel_family|marvel]] temperaments.
'''269edo''' is the [[EDO|equal division of the octave]] into 269 parts of 4.4610 [[cent]]s each. The patent val tempers out 6144/6125 in the 7-limit, 540/539 and 5632/5625 in the 11-limit and 364/363 and 676/675 in the 13-limit. The 269c val tempers out 225/224 and 4375/4374 in the 7-limit, and 269ce 385/384 in the 11-limit, so that it [[support]]s and provides an excellent tuning for [[Kleismic_family#Catakleismic|catakleismic]] and [[Marvel_family|marvel]] temperaments.



Revision as of 21:45, 4 October 2022

← 268edo 269edo 270edo →
Prime factorization 269 (prime)
Step size 4.46097 ¢ 
Fifth 157\269 (700.372 ¢)
Semitones (A1:m2) 23:22 (102.6 ¢ : 98.14 ¢)
Dual sharp fifth 158\269 (704.833 ¢)
Dual flat fifth 157\269 (700.372 ¢)
Dual major 2nd 46\269 (205.204 ¢)
Consistency limit 3
Distinct consistency limit 3

269edo is the equal division of the octave into 269 parts of 4.4610 cents each. The patent val tempers out 6144/6125 in the 7-limit, 540/539 and 5632/5625 in the 11-limit and 364/363 and 676/675 in the 13-limit. The 269c val tempers out 225/224 and 4375/4374 in the 7-limit, and 269ce 385/384 in the 11-limit, so that it supports and provides an excellent tuning for catakleismic and marvel temperaments.

269edo is the 57th prime EDO.