226edo

Revision as of 03:37, 24 June 2023 by BudjarnLambeth (talk | contribs) (Added "harmonics in equal" table)

226edo is the equal division of the octave into 226 parts of 5.3097 cents each. It tempers out 2029/2024 in the 7-limit; 243/242 and 117440512/117406179 in the 11-limit; as well as 364/363 and 729/728, in the 13-limit.

← 225edo 226edo 227edo →
Prime factorization 2 × 113
Step size 5.30973 ¢ 
Fifth 132\226 (700.885 ¢) (→ 66\113)
Semitones (A1:m2) 20:18 (106.2 ¢ : 95.58 ¢)
Consistency limit 5
Distinct consistency limit 5


Approximation of odd harmonics in 226edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) -1.07 +1.30 -2.45 -2.14 +0.89 -1.59 +0.23 +1.24 -0.17 +1.79 -1.73
Relative (%) -20.2 +24.4 -46.2 -40.3 +16.8 -29.9 +4.3 +23.3 -3.2 +33.6 -32.5
Steps
(reduced)
358
(132)
525
(73)
634
(182)
716
(38)
782
(104)
836
(158)
883
(205)
924
(20)
960
(56)
993
(89)
1022
(118)