Talk:4ed4/3
Merge request
When considering whether 1ed125c is identical enough to 4ed4/3 to merge, I compared the harmonic approximations of both:
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +50.0 | -27.0 | -25.0 | -36.3 | +23.0 | +6.2 | +25.0 | -53.9 | +13.7 | -26.3 | -52.0 | +59.5 | +56.2 | +61.7 | -50.0 | -30.0 | -3.9 | +27.5 |
| Relative (%) | +40.0 | -21.6 | -20.0 | -29.1 | +18.4 | +4.9 | +20.0 | -43.1 | +10.9 | -21.1 | -41.6 | +47.6 | +44.9 | +49.4 | -40.0 | -24.0 | -3.1 | +22.0 | |
| Step | 10 | 15 | 19 | 22 | 25 | 27 | 29 | 30 | 32 | 33 | 34 | 36 | 37 | 38 | 38 | 39 | 40 | 41 | |
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +45.1 | -34.3 | -34.3 | -47.1 | +10.8 | -7.0 | +10.8 | +55.9 | -2.0 | -42.4 | +55.9 | +41.9 | +38.1 | +43.2 | +55.9 | -49.0 | -23.5 | +7.4 |
| Relative (%) | +36.2 | -27.5 | -27.5 | -37.8 | +8.7 | -5.6 | +8.7 | +44.9 | -1.6 | -34.1 | +44.9 | +33.6 | +30.6 | +34.7 | +44.9 | -39.4 | -18.8 | +6.0 | |
| Steps (reduced) |
10 (2) |
15 (7) |
19 (3) |
22 (6) |
25 (1) |
27 (3) |
29 (5) |
31 (7) |
32 (0) |
33 (1) |
35 (3) |
36 (4) |
37 (5) |
38 (6) |
39 (7) |
39 (7) |
40 (0) |
41 (1) | |
(I wrote 4ed4/3 as 8ed16/9 to make comparing mapping easier).
The mappings of 9, 12 and 16 are different.
1ed125c has a meaningfully better 4, 5, 11, 17 and 18.
4ed4/3 has a meaningfully better 6, 8, 10, 14, 15 and 19.
I think these tunings are similar enough that they can be merged without having to mention these differences, especially given the mappings are nearly all the same.
--BudjarnLambeth (talk) 23:23, 1 August 2025 (UTC)