154edt
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154 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 154edt or 154ed3), is a nonoctave tuning system that divides the interval of 3/1 into 154 equal parts of about 12.4 ¢ each. Each step represents a frequency ratio of 31/154, or the 154th root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -2.02 | +0.00 | -4.03 | +4.87 | -2.02 | +2.82 | -6.05 | +0.00 | +2.85 | -1.60 | -4.03 |
| Relative (%) | -16.3 | +0.0 | -32.6 | +39.4 | -16.3 | +22.8 | -49.0 | +0.0 | +23.1 | -12.9 | -32.6 | |
| Steps (reduced) |
97 (97) |
154 (0) |
194 (40) |
226 (72) |
251 (97) |
273 (119) |
291 (137) |
308 (0) |
323 (15) |
336 (28) |
348 (40) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +5.60 | +0.81 | +4.87 | +4.29 | -1.86 | -2.02 | +3.18 | +0.84 | +2.82 | -3.61 | +5.88 |
| Relative (%) | +45.4 | +6.5 | +39.4 | +34.7 | -15.1 | -16.3 | +25.8 | +6.8 | +22.8 | -29.3 | +47.6 | |
| Steps (reduced) |
360 (52) |
370 (62) |
380 (72) |
389 (81) |
397 (89) |
405 (97) |
413 (105) |
420 (112) |
427 (119) |
433 (125) |
440 (132) | |