User:Overthink/Sandbox

EDO testing

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)

Approximation of prime harmonics in 5004edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31	37	41	43	47	53	59	61
Error	Absolute (¢)	+0.000	-0.037	+0.017	-0.001	+0.001	-0.000	+0.081	+0.089	+0.023	-0.081	+0.048	-0.025	-0.046	-0.007	-0.039	+0.117	+0.061	-0.098
	Relative (%)	+0.0	-15.2	+7.2	-0.4	+0.4	-0.0	+33.6	+37.1	+9.6	-33.7	+20.2	-10.5	-19.0	-2.9	-16.3	+48.6	+25.4	-41.0
Steps (reduced)		5004 (0)	7931 (2927)	11619 (1611)	14048 (4040)	17311 (2299)	18517 (3505)	20454 (438)	21257 (1241)	22636 (2620)	24309 (4293)	24791 (4775)	26068 (1048)	26809 (1789)	27153 (2133)	27795 (2775)	28663 (3643)	29437 (4417)	29677 (4657)

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

How

far

can

this

= ? =

What would happen