200edt
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Prime factorization
23 × 52
Step size
9.50978¢
Octave
126\200edt (1198.23¢) (→63\100edt)
Consistency limit
7
Distinct consistency limit
7
 |
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| ← 199edt | 200edt | 201edt → |
200 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 200edt or 200ed3), is a nonoctave tuning system that divides the interval of 3/1 into 200 equal parts of about 9.51 ¢ each. Each step represents a frequency ratio of 31/200, or the 200th root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -1.77 | +0.00 | -3.54 | +0.05 | -1.77 | -2.37 | +4.20 | +0.00 | -1.72 | +4.45 | -3.54 |
| Relative (%) | -18.6 | +0.0 | -37.2 | +0.5 | -18.6 | -24.9 | +44.2 | +0.0 | -18.1 | +46.8 | -37.2 | |
| Steps (reduced) |
126 (126) |
200 (0) |
252 (52) |
293 (93) |
326 (126) |
354 (154) |
379 (179) |
400 (0) |
419 (19) |
437 (37) |
452 (52) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.54 | -4.13 | +0.05 | +2.44 | +2.09 | -1.77 | -0.27 | -3.49 | -2.37 | +2.69 | +1.81 |
| Relative (%) | +5.6 | -43.5 | +0.5 | +25.6 | +22.0 | -18.6 | -2.9 | -36.7 | -24.9 | +28.2 | +19.0 | |
| Steps (reduced) |
467 (67) |
480 (80) |
493 (93) |
505 (105) |
516 (116) |
526 (126) |
536 (136) |
545 (145) |
554 (154) |
563 (163) |
571 (171) | |