| Prime factorization
|
3 × 79
|
| Step size
|
5.06329¢
|
| Fifth
|
139\237 (703.797¢)
|
| Semitones (A1:m2)
|
25:16 (126.6¢ : 81.01¢)
|
| Dual sharp fifth
|
139\237 (703.797¢)
|
| Dual flat fifth
|
138\237 (698.734¢) (→46\79)
|
| Dual major 2nd
|
40\237 (202.532¢)
|
| Consistency limit
|
3
|
| Distinct consistency limit
|
3
|
237 equal divisions of the octave (237edo), or 237-tone equal temperament (237tet), 237 equal temperament (237et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 237 equal parts of about 5.06 ¢ each.
Theory
Approximation of prime intervals in 237 EDO
| Prime number
|
2
|
3
|
5
|
7
|
11
|
13
|
17
|
19
|
| Error
|
absolute (¢)
|
+0.00
|
+1.84
|
-1.50
|
-1.74
|
+0.58
|
-0.02
|
+1.37
|
+1.22
|
| relative (%)
|
+0
|
+36
|
-30
|
-34
|
+11
|
-0
|
+27
|
+24
|
| Steps (reduced)
|
237 (0)
|
376 (139)
|
550 (76)
|
665 (191)
|
820 (109)
|
877 (166)
|
969 (21)
|
1007 (59)
|