User:Overthink/Sandbox: Difference between revisions

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Overthink (talk | contribs)
Test
Overthink (talk | contribs)
some more harmonics in EDOs
Line 1: Line 1:
= User:Overthink/Sandbox (size comparison) =
= User:Overthink/Sandbox (size comparison) =
{{Harmonics in equal|10257|columns=18}}
{{Harmonics in equal|10257|columns=18}}
{{Harmonics in equal|10195|columns=17}}
{{Harmonics in equal|20256|columns=18}}
Compressed 49edo:
{{Harmonics in equal|9999|columns=18}}
{{Harmonics in equal|138|7|columns=22}}
{{Harmonics in equal|127|6|columns=22}}
{{Harmonics in equal|114|5|columns=22}}
--[[User:Overthink|Overthink]] ([[User talk:Overthink|talk]]) 04:41, 29 September 2025 (UTC)
--[[User:Overthink|Overthink]] ([[User talk:Overthink|talk]]) 04:41, 29 September 2025 (UTC)
= How =
= How =

Revision as of 23:45, 5 November 2025

User:Overthink/Sandbox (size comparison)

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 prime harmonics in 20256edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61
Error Absolute (¢) +0.0000 -0.0000 +0.0015 +0.0130 -0.0146 -0.0063 +0.0209 -0.0012 -0.0161 -0.0156 -0.0119 +0.0185 +0.0253 -0.0248 +0.0147 +0.0144 +0.0108 -0.0009
Relative (%) +0.0 -0.0 +2.5 +21.9 -24.7 -10.7 +35.3 -2.0 -27.1 -26.3 -20.0 +31.3 +42.7 -41.9 +24.8 +24.3 +18.2 -1.6
Steps
(reduced)
20256
(0)
32105
(11849)
47033
(6521)
56866
(16354)
70074
(9306)
74956
(14188)
82796
(1772)
86046
(5022)
91629
(10605)
98403
(17379)
100352
(19328)
105523
(4243)
108523
(7243)
109914
(8634)
112514
(11234)
116025
(14745)
119159
(17879)
120133
(18853)
Approximation of prime harmonics in 9999edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61
Error Absolute (¢) +0.0000 -0.0048 +0.0049 +0.0310 +0.0172 +0.0364 +0.0551 -0.0033 -0.0115 +0.0058 -0.0011 -0.0389 -0.0195 -0.0266 -0.0401 -0.0572 +0.0543 -0.0531
Relative (%) +0.0 -4.0 +4.1 +25.8 +14.3 +30.3 +45.9 -2.7 -9.6 +4.8 -0.9 -32.4 -16.2 -22.1 -33.4 -47.7 +45.2 -44.3
Steps
(reduced)
9999
(0)
15848
(5849)
23217
(3219)
28071
(8073)
34591
(4594)
37001
(7004)
40871
(875)
42475
(2479)
45231
(5235)
48575
(8579)
49537
(9541)
52089
(2094)
53570
(3575)
54257
(4262)
55540
(5545)
57273
(7278)
58821
(8826)
59301
(9306)

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

How

far

can

this

even
go
= ? =

What would happen