238edt
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Prime factorization
2 × 7 × 17
Step size
7.99141¢
Octave
150\238edt (1198.71¢) (→75\119edt)
Consistency limit
4
Distinct consistency limit
4
 |
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| ← 237edt | 238edt | 239edt → |
238 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 238edt or 238ed3), is a nonoctave tuning system that divides the interval of 3/1 into 238 equal parts of about 7.99 ¢ each. Each step represents a frequency ratio of 31/238, or the 238th root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -1.29 | +0.00 | -2.58 | +2.69 | -1.29 | +3.55 | -3.87 | +0.00 | +1.40 | -3.78 | -2.58 |
| Relative (%) | -16.1 | +0.0 | -32.3 | +33.6 | -16.1 | +44.4 | -48.4 | +0.0 | +17.5 | -47.3 | -32.3 | |
| Steps (reduced) |
150 (150) |
238 (0) |
300 (62) |
349 (111) |
388 (150) |
422 (184) |
450 (212) |
476 (0) |
499 (23) |
519 (43) |
538 (62) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +2.69 | +2.26 | +2.69 | +2.84 | +1.77 | -1.29 | +1.01 | +0.11 | +3.55 | +2.93 | -2.11 |
| Relative (%) | +33.7 | +28.3 | +33.6 | +35.5 | +22.1 | -16.1 | +12.6 | +1.4 | +44.4 | +36.6 | -26.4 | |
| Steps (reduced) |
556 (80) |
572 (96) |
587 (111) |
601 (125) |
614 (138) |
626 (150) |
638 (162) |
649 (173) |
660 (184) |
670 (194) |
679 (203) | |