201edt: Difference between revisions
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== Harmonics == | |||
{{Harmonics in equal | |||
| steps = 201 | |||
| num = 3 | |||
| denom = 1 | |||
}} | |||
{{Harmonics in equal | |||
| steps = 201 | |||
| num = 3 | |||
| denom = 1 | |||
| start = 12 | |||
| collapsed = 1 | |||
}} | |||
Latest revision as of 09:56, 5 October 2024
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| ← 200edt | 201edt | 202edt → |
201 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 201edt or 201ed3), is a nonoctave tuning system that divides the interval of 3/1 into 201 equal parts of about 9.46 ¢ each. Each step represents a frequency ratio of 31/201, or the 201st root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.73 | +0.00 | +3.47 | -4.35 | +1.73 | -0.19 | -4.26 | +0.00 | -2.62 | +2.70 | +3.47 |
| Relative (%) | +18.3 | +0.0 | +36.6 | -46.0 | +18.3 | -2.0 | -45.1 | +0.0 | -27.7 | +28.6 | +36.6 | |
| Steps (reduced) |
127 (127) |
201 (0) |
254 (53) |
294 (93) |
328 (127) |
356 (155) |
380 (179) |
402 (0) |
421 (19) |
439 (37) |
455 (53) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -2.63 | +1.54 | -4.35 | -2.53 | -3.40 | +1.73 | +2.75 | -0.88 | -0.19 | +4.44 | +3.18 |
| Relative (%) | -27.8 | +16.3 | -46.0 | -26.8 | -35.9 | +18.3 | +29.1 | -9.3 | -2.0 | +46.9 | +33.6 | |
| Steps (reduced) |
469 (67) |
483 (81) |
495 (93) |
507 (105) |
518 (116) |
529 (127) |
539 (137) |
548 (146) |
557 (155) |
566 (164) |
574 (172) | |