7ed5/3: Difference between revisions
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m stub OR Todo:expand • add table if missing • add harmonics if missing • improve linking if needed |
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{{Harmonics in equal|7|5|3|collapsed=1|start=12}} | {{Harmonics in equal|7|5|3|collapsed=1|start=12}} | ||
== See also == | |||
* [https://en.xen.wiki/w/Equal-step_tuning#Alpha-beta-gamma_family_of_equal_divisions Alpha-beta-gamma_family_of_equal_divisions] | |||
{{todo|inline=1|expand}} | {{todo|inline=1|expand}} | ||
[[Category:Nonoctave]] | [[Category:Nonoctave]] | ||
Revision as of 01:46, 28 October 2025
| ← 6ed5/3 | 7ed5/3 | 8ed5/3 → |
(convergent)
7ed5/3 is the equal division of the just major sixth into seven parts of 126.337 cents each, corresponding to 9.4984edo (very nearly 19ed4 or 15edt). It is very closely related to the negri temperament.
Intervals
| ed7\10 | 19ed4 | ed5/3 | |
|---|---|---|---|
| 1 | 120 | 126.316 | 126.337 |
| 2 | 240 | 252.632 | 252.674 |
| 3 | 360 | 378.947 | 379.01 |
| 4 | 480 | 503.263 | 505.348 |
| 5 | 600 | 631.579 | 631.685 |
| 6 | 720 | 757.895 | 758.022 |
| 7 | 840 | 884.2105 | 884.359 |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -63.0 | -6.9 | +0.4 | -6.9 | +56.5 | +42.3 | -62.6 | -13.8 | +56.5 | +17.8 | -6.5 |
| Relative (%) | -49.8 | -5.5 | +0.3 | -5.5 | +44.7 | +33.5 | -49.5 | -10.9 | +44.7 | +14.1 | -5.1 | |
| Steps (reduced) |
9 (2) |
15 (1) |
19 (5) |
22 (1) |
25 (4) |
27 (6) |
28 (0) |
30 (2) |
32 (4) |
33 (5) |
34 (6) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -18.7 | -20.7 | -13.8 | +0.8 | +22.2 | +49.6 | -44.0 | -6.5 | +35.4 | -45.2 | +4.2 |
| Relative (%) | -14.8 | -16.4 | -10.9 | +0.6 | +17.6 | +39.2 | -34.9 | -5.1 | +28.0 | -35.8 | +3.3 | |
| Steps (reduced) |
35 (0) |
36 (1) |
37 (2) |
38 (3) |
39 (4) |
40 (5) |
40 (5) |
41 (6) |
42 (0) |
42 (0) |
43 (1) | |
See also
|
Todo: expand |