1730edo
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Prime factorization
2 × 5 × 173
Step size
0.693642¢
Fifth
1012\1730 (701.965¢) (→506\865)
Semitones (A1:m2)
164:130 (113.8¢ : 90.17¢)
Consistency limit
15
Distinct consistency limit
15
| ← 1729edo | 1730edo | 1731edo → |
1730 equal divisions of the octave (abbreviated 1730edo or 1730ed2), also called 1730-tone equal temperament (1730tet) or 1730 equal temperament (1730et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 1730 equal parts of about 0.694 ¢ each. Each step represents a frequency ratio of 21/1730, or the 1730th root of 2.
Odd harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | +0.010 | +0.045 | +0.191 | +0.127 | +0.166 | -0.216 | +0.059 | +0.165 | -0.213 | +0.167 |
| Relative (%) | +0.0 | +1.5 | +6.4 | +27.6 | +18.3 | +23.9 | -31.1 | +8.5 | +23.8 | -30.7 | +24.0 | |
| Steps (reduced) |
1730 (0) |
2742 (1012) |
4017 (557) |
4857 (1397) |
5985 (795) |
6402 (1212) |
7071 (151) |
7349 (429) |
7826 (906) |
8404 (1484) |
8571 (1651) | |
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