User:MisterShafXen/17ed9/2: Difference between revisions
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Latest revision as of 14:46, 9 August 2025
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| ← 16ed9/2 | 17ed9/2 | 18ed9/2 → |
17 equal divisions of 9/2 (abbreviated 17ed9/2) is a nonoctave tuning system that divides the interval of 9/2 into 17 equal parts of about 153 ¢ each. Each step represents a frequency ratio of (9/2)1/17, or the 17th root of 9/2.
This tuning tempers out 9/8 in the 3-limit, 25/24 and 27/25 in the 5-limit, and 21/20, 35/32, 36/35, and 15/14 in the 7-limit.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +25.4 | -63.9 | +50.7 | -29.2 | -38.5 | +0.9 | +76.1 | +25.4 | -3.9 | -15.7 | -13.2 |
| Relative (%) | +16.6 | -41.7 | +33.1 | -19.1 | -25.2 | +0.6 | +49.7 | +16.6 | -2.5 | -10.2 | -8.6 | |
| Steps (reduced) |
8 (8) |
12 (12) |
16 (16) |
18 (1) |
20 (3) |
22 (5) |
24 (7) |
25 (8) |
26 (9) |
27 (10) |
28 (11) | |