800edt
| ← 799edt | 800edt | 801edt → |
800 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 800edt or 800ed3), is a nonoctave tuning system that divides the interval of 3/1 into 800 equal parts of about 2.38 ¢ each. Each step represents a frequency ratio of 31/800, or the 800th root of 3.
Harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.61 | +0.00 | +0.05 | +0.01 | -0.30 | +0.54 | -0.29 | -0.27 | -0.57 |
| Relative (%) | +25.6 | +0.0 | +2.1 | +0.5 | -12.7 | +22.6 | -12.2 | -11.5 | -24.0 | |
| Steps (reduced) |
505 (505) |
800 (0) |
1172 (372) |
1417 (617) |
1746 (146) |
1868 (268) |
2063 (463) |
2144 (544) |
2283 (683) | |
| Harmonic | 25 | 27 | 29 | 31 | 33 | 35 | 37 | 39 | 41 | 43 | 45 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.10 | +0.00 | -0.09 | +0.95 | -0.30 | +0.06 | -1.04 | +0.54 | -0.45 | +0.30 | +0.05 |
| Relative (%) | +4.2 | +0.0 | -3.6 | +40.0 | -12.7 | +2.6 | -43.9 | +22.6 | -19.1 | +12.6 | +2.1 | |
| Steps (reduced) |
2344 (744) |
2400 (0) |
2452 (52) |
2501 (101) |
2546 (146) |
2589 (189) |
2629 (229) |
2668 (268) |
2704 (304) |
2739 (339) |
2772 (372) | |
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