152edt
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Prime factorization
23 × 19
Step size
12.5129¢
Octave
96\152edt (1201.23¢) (→12\19edt)
Consistency limit
5
Distinct consistency limit
5
 |
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| ← 151edt | 152edt | 153edt → |
152 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 152edt or 152ed3), is a nonoctave tuning system that divides the interval of 3/1 into 152 equal parts of about 12.5 ¢ each. Each step represents a frequency ratio of 31/152, or the 152nd root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.23 | +0.00 | +2.47 | +4.05 | +1.23 | -2.87 | +3.70 | +0.00 | +5.29 | +2.95 | +2.47 |
| Relative (%) | +9.9 | +0.0 | +19.7 | +32.4 | +9.9 | -22.9 | +29.6 | +0.0 | +42.3 | +23.6 | +19.7 | |
| Steps (reduced) |
96 (96) |
152 (0) |
192 (40) |
223 (71) |
248 (96) |
269 (117) |
288 (136) |
304 (0) |
319 (15) |
332 (28) |
344 (40) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.54 | -1.63 | +4.05 | +4.94 | +0.09 | +1.23 | -4.78 | -5.99 | -2.87 | +4.19 | +2.31 |
| Relative (%) | +12.3 | -13.0 | +32.4 | +39.5 | +0.7 | +9.9 | -38.2 | -47.9 | -22.9 | +33.5 | +18.4 | |
| Steps (reduced) |
355 (51) |
365 (61) |
375 (71) |
384 (80) |
392 (88) |
400 (96) |
407 (103) |
414 (110) |
421 (117) |
428 (124) |
434 (130) | |