173edt
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Prime factorization
173 (prime)
Step size
10.994¢
Octave
109\173edt (1198.34¢)
Consistency limit
8
Distinct consistency limit
8
 |
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| ← 172edt | 173edt | 174edt → |
173 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 173edt or 173ed3), is a nonoctave tuning system that divides the interval of 3/1 into 173 equal parts of about 11 ¢ each. Each step represents a frequency ratio of 31/173, or the 173rd root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -1.66 | +0.00 | -3.32 | -4.84 | -1.66 | -4.67 | -4.98 | +0.00 | +4.49 | +4.40 | -3.32 |
| Relative (%) | -15.1 | +0.0 | -30.2 | -44.0 | -15.1 | -42.5 | -45.3 | +0.0 | +40.9 | +40.0 | -30.2 | |
| Steps (reduced) |
109 (109) |
173 (0) |
218 (45) |
253 (80) |
282 (109) |
306 (133) |
327 (154) |
346 (0) |
363 (17) |
378 (32) |
391 (45) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.03 | +4.66 | -4.84 | +4.36 | -1.65 | -1.66 | +3.68 | +2.84 | -4.67 | +2.74 | +2.74 |
| Relative (%) | +9.4 | +42.4 | -44.0 | +39.7 | -15.0 | -15.1 | +33.5 | +25.8 | -42.5 | +24.9 | +24.9 | |
| Steps (reduced) |
404 (58) |
416 (70) |
426 (80) |
437 (91) |
446 (100) |
455 (109) |
464 (118) |
472 (126) |
479 (133) |
487 (141) |
494 (148) | |