232edt
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Prime factorization
23 × 29
Step size
8.19808¢
Octave
146\232edt (1196.92¢) (→73\116edt)
Consistency limit
2
Distinct consistency limit
2
 |
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| ← 231edt | 232edt | 233edt → |
232 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 232edt or 232ed3), is a nonoctave tuning system that divides the interval of 3/1 into 232 equal parts of about 8.2 ¢ each. Each step represents a frequency ratio of 31/232, or the 232nd root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -3.08 | +0.00 | +2.04 | +1.03 | -3.08 | +0.59 | -1.04 | +0.00 | -2.05 | -3.09 | +2.04 |
| Relative (%) | -37.6 | +0.0 | +24.9 | +12.6 | -37.6 | +7.1 | -12.7 | +0.0 | -25.0 | -37.7 | +24.9 | |
| Steps (reduced) |
146 (146) |
232 (0) |
293 (61) |
340 (108) |
378 (146) |
411 (179) |
439 (207) |
464 (0) |
486 (22) |
506 (42) |
525 (61) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +2.83 | -2.49 | +1.03 | +4.08 | -2.50 | -3.08 | +1.69 | +3.07 | +0.59 | +2.03 | -1.14 |
| Relative (%) | +34.6 | -30.4 | +12.6 | +49.7 | -30.5 | -37.6 | +20.7 | +37.5 | +7.1 | +24.8 | -14.0 | |
| Steps (reduced) |
542 (78) |
557 (93) |
572 (108) |
586 (122) |
598 (134) |
610 (146) |
622 (158) |
633 (169) |
643 (179) |
653 (189) |
662 (198) | |