3ed49/30
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This page presents a novelty topic.
It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex. Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks. |
| ← 2ed49/30 | 3ed49/30 | 4ed49/30 → |
(semiconvergent)
3 equal divisions of 49/30 (abbreviated 3ed49/30) is a nonoctave tuning system that divides the interval of 49/30 into 3 equal parts of about 283 ¢ each. Each step represents a frequency ratio of (49/30)1/3, or the 3rd root of 49/30. 6 steps of this tuning is very close to 8/3.
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -67 | +80 | -135 | +45 | +12 | +29 | +81 | -123 | -23 | +96 | -55 |
| Relative (%) | -23.8 | +28.2 | -47.7 | +15.9 | +4.4 | +10.1 | +28.5 | -43.5 | -8.0 | +33.8 | -19.4 | |
| Steps (reduced) |
4 (1) |
7 (1) |
8 (2) |
10 (1) |
11 (2) |
12 (0) |
13 (1) |
13 (1) |
14 (2) |
15 (0) |
15 (0) | |