235edt
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Prime factorization
5 × 47
Step size
8.09343¢
Octave
148\235edt (1197.83¢)
Consistency limit
2
Distinct consistency limit
2
 |
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| ← 234edt | 235edt | 236edt → |
235 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 235edt or 235ed3), is a nonoctave tuning system that divides the interval of 3/1 into 235 equal parts of about 8.09 ¢ each. Each step represents a frequency ratio of 31/235, or the 235th root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -2.17 | +0.00 | +3.75 | -2.18 | -2.17 | -1.96 | +1.57 | +0.00 | +3.75 | +0.61 | +3.75 |
| Relative (%) | -26.8 | +0.0 | +46.3 | -26.9 | -26.8 | -24.2 | +19.5 | +0.0 | +46.3 | +7.5 | +46.3 | |
| Steps (reduced) |
148 (148) |
235 (0) |
297 (62) |
344 (109) |
383 (148) |
416 (181) |
445 (210) |
470 (0) |
493 (23) |
513 (43) |
532 (62) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +2.76 | +3.96 | -2.18 | -0.60 | -0.34 | -2.17 | +1.35 | +1.57 | -1.96 | -1.56 | +2.41 |
| Relative (%) | +34.1 | +48.9 | -26.9 | -7.4 | -4.2 | -26.8 | +16.6 | +19.4 | -24.2 | -19.3 | +29.8 | |
| Steps (reduced) |
549 (79) |
565 (95) |
579 (109) |
593 (123) |
606 (136) |
618 (148) |
630 (160) |
641 (171) |
651 (181) |
661 (191) |
671 (201) | |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -2.17 | +0.00 | +3.75 | -2.18 | -2.17 | -1.96 | +1.57 | +0.00 | +3.75 | +0.61 | +3.75 |
| Relative (%) | -26.8 | +0.0 | +46.3 | -26.9 | -26.8 | -24.2 | +19.5 | +0.0 | +46.3 | +7.5 | +46.3 | |
| Steps (reduced) |
148 (148) |
235 (0) |
297 (62) |
344 (109) |
383 (148) |
416 (181) |
445 (210) |
470 (0) |
493 (23) |
513 (43) |
532 (62) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +2.76 | +3.96 | -2.18 | -0.60 | -0.34 | -2.17 | +1.35 | +1.57 | -1.96 | -1.56 | +2.41 |
| Relative (%) | +34.1 | +48.9 | -26.9 | -7.4 | -4.2 | -26.8 | +16.6 | +19.4 | -24.2 | -19.3 | +29.8 | |
| Steps (reduced) |
549 (79) |
565 (95) |
579 (109) |
593 (123) |
606 (136) |
618 (148) |
630 (160) |
641 (171) |
651 (181) |
661 (191) |
671 (201) | |