| Prime factorization
|
2 × 11 × 13
|
| Step size
|
4.1958¢
|
| Fifth
|
167\286 (700.699¢)
|
| Semitones (A1:m2)
|
25:23 (104.9¢ : 96.5¢)
|
| Consistency limit
|
7
|
| Distinct consistency limit
|
7
|
286 equal divisions of the octave (286edo), or 286-tone equal temperament (286tet), 286 equal temperament (286et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 286 equal parts of about 4.2 ¢ each. }
Theory
Approximation of prime intervals in 286 EDO
| Prime number
|
2
|
3
|
5
|
7
|
11
|
13
|
17
|
19
|
| Error
|
absolute (¢)
|
+0.00
|
-1.26
|
-0.30
|
+0.40
|
-1.67
|
-1.37
|
-0.06
|
+0.39
|
| relative (%)
|
+0
|
-30
|
-7
|
+10
|
-40
|
-33
|
-1
|
+9
|
| Steps (reduced)
|
286 (0)
|
453 (167)
|
664 (92)
|
803 (231)
|
989 (131)
|
1058 (200)
|
1169 (25)
|
1215 (71)
|