253389edo

Revision as of 08:51, 10 May 2023 by FloraC (talk | contribs) (Override the parameters in the infobox; rewrite the theory to reflect its notability)
← 253388edo 253389edo 253390edo →
Prime factorization 3 × 84463
Step size 0.0047358 ¢ 
Fifth 148223\253389 (701.955 ¢)
Semitones (A1:m2) 24005:19052 (113.7 ¢ : 90.23 ¢)
Consistency limit 59
Distinct consistency limit 59

Template:EDO intro

253389edo is distinctly consistent to the 59-odd-limit, and indeed is the first edo to achieve it. For that reason, it might attract considerable attention from those who are not put off by extremely small step sizes.

Prime harmonics

Approximation of prime harmonics in 253389edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00000 -0.00030 -0.00018 +0.00068 +0.00039 +0.00133 -0.00058 -0.00050 +0.00076 +0.00025 +0.00072
Relative (%) +0.0 -6.3 -3.8 +14.4 +8.2 +28.0 -12.2 -10.5 +16.0 +5.4 +15.1
Steps
(reduced)
253389
(0)
401612
(148223)
588351
(81573)
711353
(204575)
876582
(116415)
937651
(177484)
1035718
(22162)
1076378
(62822)
1146221
(132665)
1230959
(217403)
1255339
(241783)