| Prime factorization
|
2 × 7 × 17
|
| Step size
|
5.04202¢
|
| Fifth
|
139\238 (700.84¢)
|
| Semitones (A1:m2)
|
21:19 (105.9¢ : 95.8¢)
|
| Consistency limit
|
3
|
| Distinct consistency limit
|
3
|
238 equal divisions of the octave (238edo), or 238-tone equal temperament (238tet), 238 equal temperament (238et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 238 equal parts of about 5.04 ¢ each.
Theory
Approximation of prime intervals in 238 EDO
| Prime number
|
2
|
3
|
5
|
7
|
11
|
13
|
17
|
19
|
| Error
|
absolute (¢)
|
+0.00
|
-1.11
|
+1.92
|
-0.76
|
-1.74
|
+1.49
|
+0.93
|
-0.03
|
| relative (%)
|
+0
|
-22
|
+38
|
-15
|
-34
|
+30
|
+18
|
-1
|
| Steps (reduced)
|
238 (0)
|
377 (139)
|
553 (77)
|
668 (192)
|
823 (109)
|
881 (167)
|
973 (21)
|
1011 (59)
|