| Prime factorization
|
2 × 139
|
| Step size
|
4.31655¢
|
| Fifth
|
163\278 (703.597¢)
|
| Semitones (A1:m2)
|
29:19 (125.2¢ : 82.01¢)
|
| Dual sharp fifth
|
163\278 (703.597¢)
|
| Dual flat fifth
|
162\278 (699.281¢) (→81\139)
|
| Dual major 2nd
|
47\278 (202.878¢)
|
| Consistency limit
|
3
|
| Distinct consistency limit
|
3
|
278 equal divisions of the octave (278edo), or 278-tone equal temperament (278tet), 278 equal temperament (278et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 278 equal parts of about 4.32 ¢ each.
Theory
Approximation of prime intervals in 278 EDO
| Prime number
|
2
|
3
|
5
|
7
|
11
|
13
|
17
|
19
|
| Error
|
absolute (¢)
|
+0.00
|
+1.64
|
-2.14
|
-1.92
|
+1.20
|
+1.20
|
-1.36
|
+0.33
|
| relative (%)
|
+0
|
+38
|
-50
|
-44
|
+28
|
+28
|
-31
|
+8
|
| Steps (reduced)
|
278 (0)
|
441 (163)
|
645 (89)
|
780 (224)
|
962 (128)
|
1029 (195)
|
1136 (24)
|
1181 (69)
|