| Prime factorization
|
24 × 32 × 52 × 67
|
| Special properties
|
|
| Step size
|
0.00497512¢
|
| Fifth
|
141093\241200 (701.955¢) (→15677\26800)
|
| Semitones (A1:m2)
|
22851:18135 (113.7¢ : 90.22¢)
|
| Consistency limit
|
39
|
| Distinct consistency limit
|
39
|
The 241200 equal division divides the octave into 241200 steps. It is the 60th zeta peak edo and the first one that 1200 divides, making it compatible with cents. It is also a zeta peak integer edo.
Approximation of prime intervals in 241200 EDO
| Prime number
|
3
|
5
|
7
|
11
|
13
|
17
|
19
|
23
|
29
|
31
|
37
|
| Error
|
absolute (¢)
|
+0.00022
|
-0.00028
|
-0.00004
|
+0.00047
|
-0.00030
|
-0.00019
|
-0.00058
|
-0.00072
|
-0.00008
|
-0.00075
|
-0.00076
|
| relative (%)
|
+4
|
-6
|
-1
|
+9
|
-6
|
-4
|
-12
|
-14
|
-2
|
-15
|
-15
|
| Steps (reduced)
|
382293 (141093)
|
560049 (77649)
|
677134 (194734)
|
834415 (110815)
|
892546 (168946)
|
985896 (21096)
|
1024600 (59800)
|
1091083 (126283)
|
1171745 (206945)
|
1194952 (230152)
|
1256520 (50520)
|