7ed8/3: Difference between revisions
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CompactStar (talk | contribs) Created page with "{{Infobox ET}} {{ED intro}} == Interval table == {{Interval table}}" |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ED intro}} | {{ED intro}} | ||
It is similar to 5edo, but with the 8/3 being just instead of the 2/1. | |||
== Interval table == | == Interval table == | ||
{{Interval table}} | {{Interval table}} | ||
== Harmonics == | |||
{{Harmonics in equal|7|8|3}} | |||
Latest revision as of 02:52, 17 May 2025
| ← 6ed8/3 | 7ed8/3 | 8ed8/3 → |
(convergent)
7 equal divisions of 8/3 (abbreviated 7ed8/3) is a nonoctave tuning system that divides the interval of 8/3 into 7 equal parts of about 243 ¢ each. Each step represents a frequency ratio of (8/3)1/7, or the 7th root of 8/3.
It is similar to 5edo, but with the 8/3 being just instead of the 2/1.
Interval table
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 242.6 | 7/6, 8/7, 9/8, 13/11, 15/13, 17/15, 19/17, 20/17 |
| 2 | 485.2 | 4/3, 9/7, 13/10, 17/13, 19/14, 21/16 |
| 3 | 727.7 | 3/2, 14/9, 17/11, 20/13 |
| 4 | 970.3 | 7/4, 12/7, 16/9, 19/11 |
| 5 | 1212.9 | 2/1 |
| 6 | 1455.5 | 7/3, 16/7, 19/8 |
| 7 | 1698 | 8/3, 13/5, 19/7, 21/8 |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +13 | +39 | +26 | -118 | +52 | +27 | +39 | +77 | -105 | -27 | +64 |
| Relative (%) | +5.3 | +15.9 | +10.6 | -48.6 | +21.3 | +11.2 | +15.9 | +31.9 | -43.3 | -11.3 | +26.6 | |
| Steps (reduced) |
5 (5) |
8 (1) |
10 (3) |
11 (4) |
13 (6) |
14 (0) |
15 (1) |
16 (2) |
16 (2) |
17 (3) |
18 (4) | |