User:Overthink/Sandbox

Revision as of 08:47, 7 November 2025 by Overthink (talk | contribs) (+ 5472edo prime harmonics)

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)
Approximation of prime harmonics in 5472edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61
Error Absolute (¢) +0.0000 +0.0187 +0.0898 +0.0337 -0.0022 +0.0425 +0.0885 +0.0747 +0.0151 +0.0281 -0.0794 -0.0282 +0.1043 +0.1051 +0.0636 -0.0396 +0.0389 +0.0012
Relative (%) +0.0 +8.5 +40.9 +15.4 -1.0 +19.4 +40.3 +34.1 +6.9 +12.8 -36.2 -12.9 +47.5 +47.9 +29.0 -18.1 +17.7 +0.5
Steps
(reduced)
5472
(0)
8673
(3201)
12706
(1762)
15362
(4418)
18930
(2514)
20249
(3833)
22367
(479)
23245
(1357)
24753
(2865)
26583
(4695)
27109
(5221)
28506
(1146)
29317
(1957)
29693
(2333)
30395
(3035)
31343
(3983)
32190
(4830)
32453
(5093)

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

How

far

can

this

even
go
= ? =

What would happen