150edt
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Prime factorization
2 × 3 × 52
Step size
12.6797¢
Octave
95\150edt (1204.57¢) (→19\30edt)
Consistency limit
2
Distinct consistency limit
2
 |
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| ← 149edt | 150edt | 151edt → |
150 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 150edt or 150ed3), is a nonoctave tuning system that divides the interval of 3/1 into 150 equal parts of about 12.7 ¢ each. Each step represents a frequency ratio of 31/150, or the 150th root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +4.57 | +0.00 | -3.54 | +3.22 | +4.57 | +3.97 | +1.03 | +0.00 | -4.89 | -5.06 | -3.54 |
| Relative (%) | +36.1 | +0.0 | -27.9 | +25.4 | +36.1 | +31.3 | +8.2 | +0.0 | -38.5 | -39.9 | -27.9 | |
| Steps (reduced) |
95 (95) |
150 (0) |
189 (39) |
220 (70) |
245 (95) |
266 (116) |
284 (134) |
300 (0) |
314 (14) |
327 (27) |
339 (39) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -2.63 | -4.13 | +3.22 | +5.61 | +2.09 | +4.57 | -0.27 | -0.32 | +3.97 | -0.48 | -1.36 |
| Relative (%) | -20.8 | -32.6 | +25.4 | +44.2 | +16.5 | +36.1 | -2.2 | -2.5 | +31.3 | -3.8 | -10.7 | |
| Steps (reduced) |
350 (50) |
360 (60) |
370 (70) |
379 (79) |
387 (87) |
395 (95) |
402 (102) |
409 (109) |
416 (116) |
422 (122) |
428 (128) | |