| Prime factorization
|
7 × 37
|
| Step size
|
4.6332¢
|
| Fifth
|
152\259 (704.247¢)
|
| Semitones (A1:m2)
|
28:17 (129.7¢ : 78.76¢)
|
| Dual sharp fifth
|
152\259 (704.247¢)
|
| Dual flat fifth
|
151\259 (699.614¢)
|
| Dual major 2nd
|
44\259 (203.861¢)
|
| Consistency limit
|
3
|
| Distinct consistency limit
|
3
|
259 equal divisions of the octave (259edo), or 259-tone equal temperament (259tet), 259 equal temperament (259et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 259 equal parts of about 4.63 ¢ each.
Theory
Approximation of prime intervals in 259 EDO
| Prime number
|
2
|
3
|
5
|
7
|
11
|
13
|
17
|
19
|
| Error
|
absolute (¢)
|
+0.00
|
+2.29
|
-1.76
|
-0.49
|
+0.03
|
-1.92
|
+1.61
|
-0.99
|
| relative (%)
|
+0
|
+49
|
-38
|
-10
|
+1
|
-41
|
+35
|
-21
|
| Steps (reduced)
|
259 (0)
|
411 (152)
|
601 (83)
|
727 (209)
|
896 (119)
|
958 (181)
|
1059 (23)
|
1100 (64)
|