207edt
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Prime factorization
32 × 23
Step size
9.18819¢
Octave
131\207edt (1203.65¢)
Consistency limit
2
Distinct consistency limit
2
 |
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| ← 206edt | 207edt | 208edt → |
207 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 207edt or 207ed3), is a nonoctave tuning system that divides the interval of 3/1 into 207 equal parts of about 9.19 ¢ each. Each step represents a frequency ratio of 31/207, or the 207th root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +3.65 | +0.00 | -1.88 | -2.29 | +3.65 | +3.24 | +1.77 | +0.00 | +1.36 | +1.74 | -1.88 |
| Relative (%) | +39.8 | +0.0 | -20.5 | -25.0 | +39.8 | +35.3 | +19.3 | +0.0 | +14.8 | +19.0 | -20.5 | |
| Steps (reduced) |
131 (131) |
207 (0) |
261 (54) |
303 (96) |
338 (131) |
367 (160) |
392 (185) |
414 (0) |
434 (20) |
452 (38) |
468 (54) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -2.63 | -2.30 | -2.29 | -3.77 | +1.54 | +3.65 | +1.93 | -4.18 | +3.24 | -3.79 | +1.95 |
| Relative (%) | -28.7 | -25.0 | -25.0 | -41.0 | +16.7 | +39.8 | +21.0 | -45.4 | +35.3 | -41.3 | +21.2 | |
| Steps (reduced) |
483 (69) |
497 (83) |
510 (96) |
522 (108) |
534 (120) |
545 (131) |
555 (141) |
564 (150) |
574 (160) |
582 (168) |
591 (177) | |