| 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)
|