58973edo

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← 58972edo 58973edo 58974edo →
Prime factorization 17 × 3469
Step size 0.0203483 ¢ 
Fifth 34497\58973 (701.955 ¢)
Semitones (A1:m2) 5587:4434 (113.7 ¢ : 90.22 ¢)
Consistency limit 47
Distinct consistency limit 47

Template:EDO intro

58973edo is a zeta peak, integral, and gap edo. It is distinctly consistent in the 47-odd-limit, and has lower relative errors than any smaller equal temperaments in the 37-limit and way beyond.

Prime harmonics

Approximation of prime harmonics in 58973edo
Harmonic 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 (%) +0.0 +0.6 -6.6 -14.2 -6.1 -3.1 +5.4 -2.9 -1.9 +28.7 +18.1 -9.3 +8.6 -11.1 +23.2
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)