202edt
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Prime factorization
2 × 101
Step size
9.41562¢
Octave
127\202edt (1195.78¢)
Consistency limit
2
Distinct consistency limit
2
 |
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| ← 201edt | 202edt | 203edt → |
202 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 202edt or 202ed3), is a nonoctave tuning system that divides the interval of 3/1 into 202 equal parts of about 9.42 ¢ each. Each step represents a frequency ratio of 31/202, or the 202nd root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -4.22 | +0.00 | +0.98 | +0.71 | -4.22 | +1.97 | -3.23 | +0.00 | -3.51 | +0.97 | +0.98 |
| Relative (%) | -44.8 | +0.0 | +10.4 | +7.5 | -44.8 | +20.9 | -34.3 | +0.0 | -37.2 | +10.3 | +10.4 | |
| Steps (reduced) |
127 (127) |
202 (0) |
255 (53) |
296 (94) |
329 (127) |
358 (156) |
382 (180) |
404 (0) |
423 (19) |
441 (37) |
457 (53) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +3.64 | -2.25 | +0.71 | +1.97 | +0.58 | -4.22 | -3.66 | +1.69 | +1.97 | -3.25 | +4.54 |
| Relative (%) | +38.7 | -23.9 | +7.5 | +20.9 | +6.2 | -44.8 | -38.9 | +18.0 | +20.9 | -34.5 | +48.2 | |
| Steps (reduced) |
472 (68) |
485 (81) |
498 (94) |
510 (106) |
521 (117) |
531 (127) |
541 (137) |
551 (147) |
560 (156) |
568 (164) |
577 (173) | |