204edt
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Prime factorization
22 × 3 × 17
Step size
9.32331¢
Octave
129\204edt (1202.71¢) (→43\68edt)
Consistency limit
2
Distinct consistency limit
2
 |
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| ← 203edt | 204edt | 205edt → |
204 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 204edt or 204ed3), is a nonoctave tuning system that divides the interval of 3/1 into 204 equal parts of about 9.32 ¢ each. Each step represents a frequency ratio of 31/204, or the 204th root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +2.71 | +0.00 | -3.91 | +1.36 | +2.71 | -3.11 | -1.20 | +0.00 | +4.06 | -2.45 | -3.91 |
| Relative (%) | +29.0 | +0.0 | -41.9 | +14.5 | +29.0 | -33.4 | -12.9 | +0.0 | +43.6 | -26.2 | -41.9 | |
| Steps (reduced) |
129 (129) |
204 (0) |
257 (53) |
299 (95) |
333 (129) |
361 (157) |
386 (182) |
408 (0) |
428 (20) |
445 (37) |
461 (53) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -2.63 | -0.40 | +1.36 | +1.50 | -0.89 | +2.71 | +2.34 | -2.55 | -3.11 | +0.26 | -2.11 |
| Relative (%) | -28.2 | -4.3 | +14.5 | +16.1 | -9.6 | +29.0 | +25.1 | -27.4 | -33.4 | +2.8 | -22.6 | |
| Steps (reduced) |
476 (68) |
490 (82) |
503 (95) |
515 (107) |
526 (118) |
537 (129) |
547 (139) |
556 (148) |
565 (157) |
574 (166) |
582 (174) | |