198edt
Jump to navigation
Jump to search
Prime factorization
2 × 32 × 11
Step size
9.60583¢
Octave
125\198edt (1200.73¢)
Consistency limit
11
Distinct consistency limit
11
 |
This page is a stub. You can help the Xenharmonic Wiki by expanding it. |
| ← 197edt | 198edt | 199edt → |
198 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 198edt or 198ed3), is a nonoctave tuning system that divides the interval of 3/1 into 198 equal parts of about 9.61 ¢ each. Each step represents a frequency ratio of 31/198, or the 198th root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.73 | +0.00 | +1.46 | -0.62 | +0.73 | +2.82 | +2.19 | +0.00 | +0.11 | -1.60 | +1.46 |
| Relative (%) | +7.6 | +0.0 | +15.2 | -6.5 | +7.6 | +29.4 | +22.8 | +0.0 | +1.1 | -16.6 | +15.2 | |
| Steps (reduced) |
125 (125) |
198 (0) |
250 (52) |
290 (92) |
323 (125) |
351 (153) |
375 (177) |
396 (0) |
415 (19) |
432 (36) |
448 (52) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -2.63 | +3.55 | -0.62 | +2.92 | +3.63 | +0.73 | +3.18 | +0.84 | +2.82 | -0.87 | -0.98 |
| Relative (%) | -27.4 | +37.0 | -6.5 | +30.4 | +37.7 | +7.6 | +33.2 | +8.7 | +29.4 | -9.0 | -10.2 | |
| Steps (reduced) |
462 (66) |
476 (80) |
488 (92) |
500 (104) |
511 (115) |
521 (125) |
531 (135) |
540 (144) |
549 (153) |
557 (161) |
565 (169) | |