247edt: Difference between revisions
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== Harmonics == | === Harmonics === | ||
{{Harmonics in equal|247|3|1 | {{Harmonics in equal|247|3|1|columns=15}} | ||
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Revision as of 12:01, 15 May 2024
| ← 246edt | 247edt | 248edt → |
247 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 247edt or 247ed3), is a nonoctave tuning system that divides the interval of 3/1 into 247 equal parts of about 7.7 ¢ each. Each step represents a frequency ratio of 31/247, or the 247th root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.23 | +0.00 | +2.47 | +1.17 | +1.23 | -3.83 | +3.70 | +0.00 | +2.40 | -0.90 | +2.47 | +2.50 | -2.59 | +1.17 | -2.76 |
| Relative (%) | +16.0 | +0.0 | +32.1 | +15.2 | +16.0 | -49.7 | +48.1 | +0.0 | +31.2 | -11.7 | +32.1 | +32.5 | -33.7 | +15.2 | -35.9 | |
| Steps (reduced) |
156 (156) |
247 (0) |
312 (65) |
362 (115) |
403 (156) |
437 (190) |
468 (221) |
494 (0) |
518 (24) |
539 (45) |
559 (65) |
577 (83) |
593 (99) |
609 (115) |
623 (129) | |
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