| Prime factorization
|
2 × 112
|
| Step size
|
4.95868¢
|
| Fifth
|
142\242 (704.132¢) (→71\121)
|
| Semitones (A1:m2)
|
26:16 (128.9¢ : 79.34¢)
|
| Dual sharp fifth
|
142\242 (704.132¢) (→71\121)
|
| Dual flat fifth
|
141\242 (699.174¢)
|
| Dual major 2nd
|
41\242 (203.306¢)
|
| Consistency limit
|
5
|
| Distinct consistency limit
|
5
|
242 equal divisions of the octave (242edo), or 242-tone equal temperament (242tet), 242 equal temperament (242et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 242 equal parts of about 4.96 ¢ each.
Theory
Approximation of prime intervals in 242 EDO
| Prime number
|
2
|
3
|
5
|
7
|
11
|
13
|
17
|
19
|
| Error
|
absolute (¢)
|
+0.00
|
+2.18
|
+0.46
|
-1.88
|
-0.90
|
+2.45
|
-0.82
|
+0.01
|
| relative (%)
|
+0
|
+44
|
+9
|
-38
|
-18
|
+49
|
-17
|
+0
|
| Steps (reduced)
|
242 (0)
|
384 (142)
|
562 (78)
|
679 (195)
|
837 (111)
|
896 (170)
|
989 (21)
|
1028 (60)
|