Talk:1ed28c

Revision as of 23:31, 1 August 2025 by BudjarnLambeth (talk | contribs) (Comment on merge proposal)
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Merge request

When considering whether this is identical enough to 16edf to merge, I compared the harmonic approximations of both:

Approximation of harmonics in 1ed28c
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) +4.0 +2.0 +8.0 +13.7 +6.0 -8.8 +12.0 +4.1 -10.3 -7.3 +10.0 +11.5 -4.8 -12.3 -12.0 -5.0 +8.1 -1.5
Relative (%) +14.3 +7.3 +28.6 +48.9 +21.6 -31.5 +42.9 +14.6 -36.8 -26.1 +35.9 +41.0 -17.2 -43.8 -42.9 -17.7 +28.9 -5.4
Step 43 68 86 100 111 120 129 136 142 148 154 159 163 167 171 175 179 182
Approximation of harmonics in 43edo
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) +0.0 -4.3 +0.0 +4.4 -4.3 +7.9 +0.0 -8.6 +4.4 +6.8 -4.3 -3.3 +7.9 +0.1 +0.0 +6.7 -8.6 +9.5
Relative (%) +0.0 -15.3 +0.0 +15.7 -15.3 +28.4 +0.0 -30.7 +15.7 +24.4 -15.3 -11.9 +28.4 +0.4 +0.0 +23.9 -30.7 +33.9
Steps
(reduced)
43
(0)
68
(25)
86
(0)
100
(14)
111
(25)
121
(35)
129
(0)
136
(7)
143
(14)
149
(20)
154
(25)
159
(30)
164
(35)
168
(39)
172
(0)
176
(4)
179
(7)
183
(11)

The mappings of 7, 10, 11, 14, 15, 16, 17 and 19 are different.

1ed28c has a meaningfully better 3, 9, 14 and 19.

43edo has a meaningfully better 2, 4, 5, 8, 10, 12, 13, 15 and 16.

It seems that 1ed28c is just a less useful tuning in most ways, so I think a merge is most likely a good idea, and the merged article could mention being close to 1ed28c but doesn't need to go into detail.

--BudjarnLambeth (talk) 23:23, 1 August 2025 (UTC)

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