7ed9/7: Difference between revisions
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Created page with "{{Infobox ET|7ed9/7}} {{ED intro}} == Harmonics == {{Harmonics in equal|Steps=7|num=9|denom=7|columns=12|intervals=prime}}" Tags: Visual edit Mobile edit Mobile web edit |
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== Harmonics == | == Harmonics == | ||
{{Harmonics in equal | {{Harmonics in equal|num=9|denom=7|columns=12|intervals=prime|steps=7}} | ||
Revision as of 11:19, 31 July 2025
| ← 6ed9/7 | 7ed9/7 | 8ed9/7 → |
7 equal divisions of 9/7 (abbreviated 7ed9/7) is a nonoctave tuning system that divides the interval of 9/7 into 7 equal parts of about 62.2 ¢ each. Each step represents a frequency ratio of (9/7)1/7, or the 7th root of 9/7.
Harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | 37 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -19.1 | +24.8 | +10.7 | -12.5 | +13.1 | -27.5 | +5.3 | -0.8 | -20.8 | +13.0 | +21.8 | +26.3 |
| Relative (%) | -30.7 | +40.0 | +17.1 | -20.1 | +21.0 | -44.3 | +8.5 | -1.3 | -33.5 | +20.9 | +35.1 | +42.3 | |
| Steps (reduced) |
19 (5) |
31 (3) |
45 (3) |
54 (5) |
67 (4) |
71 (1) |
79 (2) |
82 (5) |
87 (3) |
94 (3) |
96 (5) |
101 (3) | |