702edo
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Prime factorization
2 × 33 × 13
Step size
1.7094¢
Fifth
411\702 (702.564¢) (→137\234)
Semitones (A1:m2)
69:51 (117.9¢ : 87.18¢)
Dual sharp fifth
411\702 (702.564¢) (→137\234)
Dual flat fifth
410\702 (700.855¢) (→205\351)
Dual major 2nd
119\702 (203.419¢)
Consistency limit
7
Distinct consistency limit
7
| ← 701edo | 702edo | 703edo → |
702 equal divisions of the octave (abbreviated 702edo or 702ed2), also called 702-tone equal temperament (702tet) or 702 equal temperament (702et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 702 equal parts of about 1.71 ¢ each. Each step represents a frequency ratio of 21/702, or the 702nd root of 2.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.609 | +0.011 | +0.405 | -0.491 | +0.819 | +0.498 | +0.620 | -0.682 | -0.077 | -0.695 | +0.785 |
| Relative (%) | +35.6 | +0.6 | +23.7 | -28.7 | +47.9 | +29.1 | +36.3 | -39.9 | -4.5 | -40.7 | +46.0 | |
| Steps (reduced) |
1113 (411) |
1630 (226) |
1971 (567) |
2225 (119) |
2429 (323) |
2598 (492) |
2743 (637) |
2869 (61) |
2982 (174) |
3083 (275) |
3176 (368) | |
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