1225edo
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Prime factorization
52 × 72
Step size
0.979592¢
Fifth
717\1225 (702.367¢)
Semitones (A1:m2)
119:90 (116.6¢ : 88.16¢)
Dual sharp fifth
717\1225 (702.367¢)
Dual flat fifth
716\1225 (701.388¢)
Dual major 2nd
208\1225 (203.755¢)
Consistency limit
3
Distinct consistency limit
3
| ← 1224edo | 1225edo | 1226edo → |
1225 equal divisions of the octave (abbreviated 1225edo or 1225ed2), also called 1225-tone equal temperament (1225tet) or 1225 equal temperament (1225et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 1225 equal parts of about 0.98 ¢ each. Each step represents a frequency ratio of 21/1225, or the 1225th root of 2.
The first seven prime harmonics with less than 1 standard deviation error in 1225edo are: 7, 13, 17, 29, 31, 41, 43.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.412 | -0.355 | -0.010 | -0.155 | +0.192 | -0.038 | +0.058 | -0.139 | +0.283 | +0.403 | -0.356 |
| Relative (%) | +42.1 | -36.2 | -1.0 | -15.8 | +19.6 | -3.9 | +5.9 | -14.2 | +28.9 | +41.1 | -36.3 | |
| Steps (reduced) |
1942 (717) |
2844 (394) |
3439 (989) |
3883 (208) |
4238 (563) |
4533 (858) |
4786 (1111) |
5007 (107) |
5204 (304) |
5381 (481) |
5541 (641) | |
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