60edf
60 equal divisions of the perfect fifth (abbreviated 60edf or 60ed3/2) is a nonoctave tuning system that divides the interval of 3/2 into 60 equal parts of about 11.7 ¢ each. Each step represents a frequency ratio of (3/2)1/60, or the 60th root of 3/2.
Theory
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Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +5.02 | +5.02 | -1.65 | -1.89 | -1.65 | +0.56 | +3.37 | -1.65 | +3.13 | +1.92 | +3.37 |
| Relative (%) | +42.9 | +42.9 | -14.1 | -16.2 | -14.1 | +4.8 | +28.8 | -14.1 | +26.8 | +16.4 | +28.8 | |
| Steps (reduced) |
103 (43) |
163 (43) |
205 (25) |
238 (58) |
265 (25) |
288 (48) |
308 (8) |
325 (25) |
341 (41) |
355 (55) |
368 (8) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +5.19 | +5.58 | +3.13 | -3.31 | -2.97 | +3.37 | +3.36 | -3.55 | +5.58 | -4.76 | +0.18 | -3.31 |
| Relative (%) | +44.3 | +47.7 | +26.8 | -28.3 | -25.4 | +28.8 | +28.7 | -30.3 | +47.7 | -40.7 | +1.5 | -28.3 | |
| Steps (reduced) |
380 (20) |
391 (31) |
401 (41) |
410 (50) |
419 (59) |
428 (8) |
436 (16) |
443 (23) |
451 (31) |
457 (37) |
464 (44) |
470 (50) | |
Subsets and supersets
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Music
- 60ed(3/2) improv (2025)
See also
- 103edo – relative edo
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Todo: complete section |
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