290edo
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Prime factorization
2 × 5 × 29
Step size
4.13793¢
Fifth
170\290 (703.448¢) (→17\29)
Semitones (A1:m2)
30:20 (124.1¢ : 82.76¢)
Dual sharp fifth
170\290 (703.448¢) (→17\29)
Dual flat fifth
169\290 (699.31¢)
Dual major 2nd
49\290 (202.759¢)
Consistency limit
3
Distinct consistency limit
3
| ← 289edo | 290edo | 291edo → |
290 equal divisions of the octave (abbreviated 290edo or 290ed2), also called 290-tone equal temperament (290tet) or 290 equal temperament (290et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 290 equal parts of about 4.14 ¢ each. Each step represents a frequency ratio of 21/290, or the 290th root of 2.
It is part of the optimal ET sequence for the cohemimabila, keen, parahemif and sensei temperaments.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.49 | -1.49 | -0.55 | -1.15 | -0.97 | -0.53 | +0.01 | -1.51 | +0.42 | +0.94 | +0.69 |
| Relative (%) | +36.1 | -35.9 | -13.3 | -27.8 | -23.5 | -12.8 | +0.2 | -36.4 | +10.1 | +22.8 | +16.7 | |
| Steps (reduced) |
460 (170) |
673 (93) |
814 (234) |
919 (49) |
1003 (133) |
1073 (203) |
1133 (263) |
1185 (25) |
1232 (72) |
1274 (114) |
1312 (152) | |
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