206edt
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Prime factorization
2 × 103
Step size
9.23279¢
Octave
130\206edt (1200.26¢) (→65\103edt)
Consistency limit
16
Distinct consistency limit
16
 |
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| ← 205edt | 206edt | 207edt → |
206 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 206edt or 206ed3), is a nonoctave tuning system that divides the interval of 3/1 into 206 equal parts of about 9.23 ¢ each. Each step represents a frequency ratio of 31/206, or the 206th root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.26 | +0.00 | +0.53 | +1.99 | +0.26 | +1.14 | +0.79 | +0.00 | +2.25 | +3.44 | +0.53 |
| Relative (%) | +2.8 | +0.0 | +5.7 | +21.5 | +2.8 | +12.4 | +8.5 | +0.0 | +24.4 | +37.2 | +5.7 | |
| Steps (reduced) |
130 (130) |
206 (0) |
260 (54) |
302 (96) |
336 (130) |
365 (159) |
390 (184) |
412 (0) |
432 (20) |
450 (38) |
466 (54) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.44 | +1.41 | +1.99 | +1.05 | -2.34 | +0.26 | -1.01 | +2.51 | +1.14 | +3.70 | +0.61 |
| Relative (%) | +4.8 | +15.2 | +21.5 | +11.4 | -25.4 | +2.8 | -11.0 | +27.2 | +12.4 | +40.1 | +6.6 | |
| Steps (reduced) |
481 (69) |
495 (83) |
508 (96) |
520 (108) |
531 (119) |
542 (130) |
552 (140) |
562 (150) |
571 (159) |
580 (168) |
588 (176) | |