| Prime factorization
|
22 × 32 × 7
|
| Step size
|
4.7619¢
|
| Fifth
|
147\252 (700¢) (→7\12)
|
| Semitones (A1:m2)
|
21:21 (100¢ : 100¢)
|
| Dual sharp fifth
|
148\252 (704.762¢) (→37\63)
|
| Dual flat fifth
|
147\252 (700¢) (→7\12)
|
| Dual major 2nd
|
43\252 (204.762¢)
|
| Consistency limit
|
7
|
| Distinct consistency limit
|
7
|
252 equal divisions of the octave (252edo), or 252-tone equal temperament (252tet), 252 equal temperament (252et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 252 equal parts of about 4.76 ¢ each.
Theory
Approximation of prime intervals in 252 EDO
| Prime number
|
2
|
3
|
5
|
7
|
11
|
13
|
17
|
19
|
| Error
|
absolute (¢)
|
+0.00
|
-1.96
|
-0.60
|
-2.16
|
+1.06
|
+2.33
|
-0.19
|
-2.27
|
| relative (%)
|
+0
|
-41
|
-13
|
-45
|
+22
|
+49
|
-4
|
-48
|
| Steps (reduced)
|
252 (0)
|
399 (147)
|
585 (81)
|
707 (203)
|
872 (116)
|
933 (177)
|
1030 (22)
|
1070 (62)
|