203edt: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ED intro}} | {{ED intro}} | ||
{{Interval table} | |||
== Harmonics == | == Harmonics == | ||
Revision as of 23:27, 25 December 2024
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| ← 202edt | 203edt | 204edt → |
203 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 203edt or 203ed3), is a nonoctave tuning system that divides the interval of 3/1 into 203 equal parts of about 9.37 ¢ each. Each step represents a frequency ratio of 31/203, or the 203rd root of 3. {{Interval table}
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.74 | +0.00 | -1.48 | -3.65 | -0.74 | +4.10 | -2.21 | +0.00 | -4.39 | -0.75 | -1.48 |
| Relative (%) | -7.9 | +0.0 | -15.7 | -39.0 | -7.9 | +43.8 | -23.6 | +0.0 | -46.8 | -8.0 | -15.7 | |
| Steps (reduced) |
128 (128) |
203 (0) |
256 (53) |
297 (94) |
331 (128) |
360 (157) |
384 (181) |
406 (0) |
425 (19) |
443 (37) |
459 (53) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.49 | +3.36 | -3.65 | -2.95 | +4.52 | -0.74 | -0.65 | +4.24 | +4.10 | -1.48 | -3.49 |
| Relative (%) | +5.2 | +35.9 | -39.0 | -31.5 | +48.3 | -7.9 | -6.9 | +45.3 | +43.8 | -15.8 | -37.2 | |
| Steps (reduced) |
474 (68) |
488 (82) |
500 (94) |
512 (106) |
524 (118) |
534 (128) |
544 (138) |
554 (148) |
563 (157) |
571 (165) |
579 (173) | |