2242edo
Jump to navigation
Jump to search
Prime factorization
2 × 19 × 59
Step size
0.535236¢
Fifth
1311\2242 (701.695¢) (→69\118)
Semitones (A1:m2)
209:171 (111.9¢ : 91.53¢)
Dual sharp fifth
1312\2242 (702.23¢) (→656\1121)
Dual flat fifth
1311\2242 (701.695¢) (→69\118)
Dual major 2nd
381\2242 (203.925¢)
Consistency limit
3
Distinct consistency limit
3
| ← 2241edo | 2242edo | 2243edo → |
2242 equal divisions of the octave (abbreviated 2242edo or 2242ed2), also called 2242-tone equal temperament (2242tet) or 2242 equal temperament (2242et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 2242 equal parts of about 0.535 ¢ each. Each step represents a frequency ratio of 21/2242, or the 2242nd root of 2.
Harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.260 | +0.127 | -0.048 | +0.015 | -0.024 | -0.207 | -0.133 | -0.049 | +0.078 | +0.227 | +0.093 |
| Relative (%) | -48.6 | +23.7 | -9.0 | +2.8 | -4.6 | -38.6 | -24.9 | -9.2 | +14.7 | +42.4 | +17.4 | |
| Steps (reduced) |
3553 (1311) |
5206 (722) |
6294 (1810) |
7107 (381) |
7756 (1030) |
8296 (1570) |
8759 (2033) |
9164 (196) |
9524 (556) |
9848 (880) |
10142 (1174) | |
 |
Todo: explain its xenharmonic value |