700edo
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Prime factorization
22 × 52 × 7
Step size
1.71429¢
Fifth
409\700 (701.143¢)
Semitones (A1:m2)
63:55 (108¢ : 94.29¢)
Dual sharp fifth
410\700 (702.857¢) (→41\70)
Dual flat fifth
409\700 (701.143¢)
Dual major 2nd
119\700 (204¢) (→17\100)
Consistency limit
7
Distinct consistency limit
7
| ← 699edo | 700edo | 701edo → |
700 equal divisions of the octave (abbreviated 700edo or 700ed2), also called 700-tone equal temperament (700tet) or 700 equal temperament (700et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 700 equal parts of about 1.71 ¢ each. Each step represents a frequency ratio of 21/700, or the 700th root of 2.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.812 | -0.599 | -0.254 | +0.090 | +0.682 | -0.528 | +0.303 | -0.384 | +0.773 | +0.648 | -0.846 |
| Relative (%) | -47.4 | -35.0 | -14.8 | +5.2 | +39.8 | -30.8 | +17.7 | -22.4 | +45.1 | +37.8 | -49.3 | |
| Steps (reduced) |
1109 (409) |
1625 (225) |
1965 (565) |
2219 (119) |
2422 (322) |
2590 (490) |
2735 (635) |
2861 (61) |
2974 (174) |
3075 (275) |
3166 (366) | |
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