226edo: Difference between revisions

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'''226edo''' is the [[EDO|equal division of the octave]] into 226 parts of 5.3097 [[cent]]s each.  It [[tempering_out|tempers out]] 2029/2024 in the [[7-limit]]; 243/242 and [[Quartisma|117440512/117406179]] in the [[11-limit]]; as well as 364/363 and 729/728, in the [[13-limit]].
'''226edo''' is the [[EDO|equal division of the octave]] into 226 parts of 5.3097 [[cent]]s each.  It [[tempering_out|tempers out]] 2029/2024 in the [[7-limit]]; 243/242 and [[Quartisma|117440512/117406179]] in the [[11-limit]]; as well as 364/363 and 729/728, in the [[13-limit]].


{{Harmonics in equal|226}}
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->

Revision as of 03:37, 24 June 2023

← 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

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.


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)