11ed5/3: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ED intro}} It corresponds to 14.9261[[edo]], making it a stretched version of [[15edo]]. | |||
{{Harmonics in equal|11|5|3}} | {{Harmonics in equal|11|5|3}} | ||
Revision as of 21:09, 14 May 2026
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| ← 10ed5/3 | 11ed5/3 | 12ed5/3 → |
(semiconvergent)
11 equal divisions of 5/3 (abbreviated 11ed5/3) is a nonoctave tuning system that divides the interval of 5/3 into 11 equal parts of about 80.4 ¢ each. Each step represents a frequency ratio of (5/3)1/11, or the 11th root of 5/3. It corresponds to 14.9261edo, making it a stretched version of 15edo.
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +5.9 | +27.6 | +11.9 | +27.6 | +33.5 | +7.8 | +17.8 | -25.3 | +33.5 | +29.3 | +39.4 |
| Relative (%) | +7.4 | +34.3 | +14.8 | +34.3 | +41.7 | +9.7 | +22.2 | -31.5 | +41.7 | +36.4 | +49.1 | |
| Steps (reduced) |
15 (4) |
24 (2) |
30 (8) |
35 (2) |
39 (6) |
42 (9) |
45 (1) |
47 (3) |
50 (6) |
52 (8) |
54 (10) | |