163edt
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Prime factorization
163 (prime)
Step size
11.6684¢
Octave
103\163edt (1201.85¢)
Consistency limit
14
Distinct consistency limit
14
 |
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| ← 162edt | 163edt | 164edt → |
163 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 163edt or 163ed3), is a nonoctave tuning system that divides the interval of 3/1 into 163 equal parts of about 11.7 ¢ each. Each step represents a frequency ratio of 31/163, or the 163rd root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.85 | +0.00 | +3.70 | +2.44 | +1.85 | +3.35 | +5.55 | +0.00 | +4.29 | +2.65 | +3.70 |
| Relative (%) | +15.8 | +0.0 | +31.7 | +20.9 | +15.8 | +28.7 | +47.5 | +0.0 | +36.8 | +22.7 | +31.7 | |
| Steps (reduced) |
103 (103) |
163 (0) |
206 (43) |
239 (76) |
266 (103) |
289 (126) |
309 (146) |
326 (0) |
342 (16) |
356 (30) |
369 (43) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +5.15 | +5.20 | +2.44 | -4.27 | -4.21 | +1.85 | +1.59 | -5.53 | +3.35 | +4.49 | -2.45 |
| Relative (%) | +44.1 | +44.6 | +20.9 | -36.6 | -36.1 | +15.8 | +13.7 | -47.4 | +28.7 | +38.5 | -21.0 | |
| Steps (reduced) |
381 (55) |
392 (66) |
402 (76) |
411 (85) |
420 (94) |
429 (103) |
437 (111) |
444 (118) |
452 (126) |
459 (133) |
465 (139) | |