170edt
Jump to navigation
Jump to search
Prime factorization
2 × 5 × 17
Step size
11.188¢
Octave
107\170edt (1197.11¢)
Consistency limit
2
Distinct consistency limit
2
 |
This page is a stub. You can help the Xenharmonic Wiki by expanding it. |
| ← 169edt | 170edt | 171edt → |
170 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 170edt or 170ed3), is a nonoctave tuning system that divides the interval of 3/1 into 170 equal parts of about 11.2 ¢ each. Each step represents a frequency ratio of 31/170, or the 170th root of 3.
Harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -2.89 | +0.00 | -0.51 | -1.25 | -0.58 | +1.10 | -4.62 | +4.20 | -2.11 |
| Relative (%) | -25.8 | +0.0 | -4.5 | -11.1 | -5.2 | +9.8 | -41.3 | +37.6 | -18.8 | |
| Steps (reduced) |
107 (107) |
170 (0) |
249 (79) |
301 (131) |
371 (31) |
397 (57) |
438 (98) |
456 (116) |
485 (145) | |
| Harmonic | 25 | 27 | 29 | 31 | 33 | 35 | 37 | 39 | 41 | 43 | 45 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -1.02 | +0.00 | -0.64 | -4.22 | -0.58 | -1.76 | +2.73 | +1.10 | +4.02 | -0.12 | -0.51 |
| Relative (%) | -9.1 | +0.0 | -5.8 | -37.7 | -5.2 | -15.7 | +24.4 | +9.8 | +35.9 | -1.1 | -4.5 | |
| Steps (reduced) |
498 (158) |
510 (0) |
521 (11) |
531 (21) |
541 (31) |
550 (40) |
559 (49) |
567 (57) |
575 (65) |
582 (72) |
589 (79) | |