58973edo

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Prime factorization 17 × 3469
Special properties
Step size 0.0203483¢
Fifth 34497\58973 (701.955¢)
Semitones (A1:m2) 5587:4434 (113.7¢ : 90.22¢)
Consistency limit 47
Distinct consistency limit at least 43

58973edo divides the octave into equal steps of about 0.0203483¢ each. It is consistent in the 47-odd limit and is a zeta peak integer edo and a zeta integral edo.


Approximation of prime intervals in 58973 EDO
Prime number 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
Error absolute (¢) +0.00000 +0.00013 -0.00133 -0.00289 -0.00124 -0.00064 +0.00110 -0.00060 -0.00039 +0.00584 +0.00368 -0.00190 +0.00174 -0.00227 +0.00471
relative (%) +0 +1 -7 -14 -6 -3 +5 -3 -2 +29 +18 -9 +9 -11 +23
Steps (reduced) 58973 (0) 93470 (34497) 136931 (18985) 165558 (47612) 204013 (27094) 218226 (41307) 241050 (5158) 250513 (14621) 266768 (30876) 286490 (50598) 292164 (56272) 307217 (12352) 315951 (21086) 320003 (25138) 327571 (32706)