User:Overthink/Sandbox: Difference between revisions

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== I wonder how it would appear ==
{{Harmonics in equal|10257|columns=18}}
{{Harmonics in equal|10257|columns=18}}
{{Harmonics in equal|10195|columns=17}}
{{Harmonics in equal|10195|columns=17}}
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{{Harmonics in equal|127|6|columns=22}}
{{Harmonics in equal|127|6|columns=22}}
{{Harmonics in equal|114|5|columns=22}}
{{Harmonics in equal|114|5|columns=22}}
 
--[[User:Overthink|Overthink]] ([[User talk:Overthink|talk]]) 04:41, 29 September 2025 (UTC)
=== If I... ===
111111111
 
== You know what nevermind ==

Revision as of 04:41, 29 September 2025

Approximation of prime harmonics in 10257edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61
Error Absolute (¢) +0.0000 +0.0046 -0.0019 -0.0046 -0.0456 -0.0480 -0.0124 +0.0009 -0.0205 -0.0364 -0.0224 -0.0425 -0.0481 -0.0231 -0.0489 -0.0328 -0.0316 +0.0500
Relative (%) +0.0 +4.0 -1.6 -3.9 -39.0 -41.0 -10.6 +0.7 -17.5 -31.1 -19.2 -36.3 -41.1 -19.8 -41.8 -28.0 -27.0 +42.7
Steps
(reduced)
10257
(0)
16257
(6000)
23816
(3302)
28795
(8281)
35483
(4712)
37955
(7184)
41925
(897)
43571
(2543)
46398
(5370)
49828
(8800)
50815
(9787)
53433
(2148)
54952
(3667)
55657
(4372)
56973
(5688)
58751
(7466)
60338
(9053)
60832
(9547)
Approximation of odd harmonics in 10195edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35
Error Absolute (¢) +0.0362 -0.0067 +0.0020 -0.0454 +0.0111 +0.0020 +0.0295 +0.0372 +0.0446 +0.0381 +0.0336 -0.0134 -0.0092 -0.0137 -0.0037 +0.0473 -0.0048
Relative (%) +30.7 -5.7 +1.7 -38.5 +9.5 +1.7 +25.0 +31.6 +37.9 +32.4 +28.6 -11.4 -7.8 -11.6 -3.1 +40.2 -4.0
Steps
(reduced)
16159
(5964)
23672
(3282)
28621
(8231)
32317
(1732)
35269
(4684)
37726
(7141)
39831
(9246)
41672
(892)
43308
(2528)
44780
(4000)
46118
(5338)
47344
(6564)
48476
(7696)
49527
(8747)
50508
(9728)
51428
(453)
52293
(1318)

Compressed 49edo:

Approximation of harmonics in 138ed7
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Error Absolute (¢) -3.8 +2.2 -7.6 -3.4 -1.7 +0.0 -11.5 +4.3 -7.2 -1.3 -5.5 +2.4 -3.8 -1.2 +9.1 +1.8 +0.5 +4.5 -11.0 +2.2 -5.1 -8.9
Relative (%) -15.7 +8.9 -31.3 -13.8 -6.8 +0.0 -47.0 +17.7 -29.5 -5.4 -22.5 +9.9 -15.7 -4.9 +37.4 +7.4 +2.1 +18.6 -45.1 +8.9 -21.0 -36.3
Steps
(reduced)
49
(49)
78
(78)
98
(98)
114
(114)
127
(127)
138
(0)
147
(9)
156
(18)
163
(25)
170
(32)
176
(38)
182
(44)
187
(49)
192
(54)
197
(59)
201
(63)
205
(67)
209
(71)
212
(74)
216
(78)
219
(81)
222
(84)
Approximation of harmonics in 127ed6
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Error Absolute (¢) -3.2 +3.2 -6.4 -1.9 +0.0 +1.8 -9.5 +6.4 -5.1 +0.9 -3.2 +4.8 -1.4 +1.3 +11.7 +4.4 +3.2 +7.3 -8.2 +5.0 -2.3 -6.0
Relative (%) -13.0 +13.0 -26.1 -7.7 +0.0 +7.4 -39.1 +26.1 -20.7 +3.7 -13.0 +19.6 -5.7 +5.3 +47.9 +18.2 +13.0 +29.8 -33.8 +20.4 -9.3 -24.4
Steps
(reduced)
49
(49)
78
(78)
98
(98)
114
(114)
127
(0)
138
(11)
147
(20)
156
(29)
163
(36)
170
(43)
176
(49)
182
(55)
187
(60)
192
(65)
197
(70)
201
(74)
205
(78)
209
(82)
212
(85)
216
(89)
219
(92)
222
(95)
Approximation of harmonics in 114ed5
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Error Absolute (¢) -2.4 +4.5 -4.7 +0.0 +2.1 +4.1 -7.1 +8.9 -2.4 +3.7 -0.3 +7.8 +1.7 +4.5 -9.5 +7.8 +6.6 +10.7 -4.7 +8.6 +1.3 -2.3
Relative (%) -9.7 +18.3 -19.4 +0.0 +8.6 +16.7 -29.1 +36.6 -9.7 +15.2 -1.1 +31.9 +7.0 +18.3 -38.9 +31.7 +26.9 +43.9 -19.4 +35.0 +5.5 -9.4
Steps
(reduced)
49
(49)
78
(78)
98
(98)
114
(0)
127
(13)
138
(24)
147
(33)
156
(42)
163
(49)
170
(56)
176
(62)
182
(68)
187
(73)
192
(78)
196
(82)
201
(87)
205
(91)
209
(95)
212
(98)
216
(102)
219
(105)
222
(108)

--Overthink (talk) 04:41, 29 September 2025 (UTC)