User:Overthink/Sandbox: Difference between revisions
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+ 5004edo, plus some other stuff |
added MOS thing |
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| Line 6: | Line 6: | ||
{{Harmonics in equal|5004|columns=18}} | {{Harmonics in equal|5004|columns=18}} | ||
--[[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) | ||
= | {{MOS tuning spectrum|Scale Signature = 5L 2s|depth=3}} | ||
Revision as of 23:10, 12 November 2025
EDO testing
| 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) | |
| 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) | |
| 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) | |
| 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) | |
| 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)
| Generator(edo) | Cents | Step ratio | Comments | |||||
|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||
| 4\7 | 685.714 | 514.286 | 1:1 | 1.000 | Equalized 5L 2s | |||
| 15\26 | 692.308 | 507.692 | 4:3 | 1.333 | Supersoft 5L 2s | |||
| 11\19 | 694.737 | 505.263 | 3:2 | 1.500 | Soft 5L 2s | |||
| 18\31 | 696.774 | 503.226 | 5:3 | 1.667 | Semisoft 5L 2s | |||
| 7\12 | 700.000 | 500.000 | 2:1 | 2.000 | Basic 5L 2s Scales with tunings softer than this are proper | |||
| 17\29 | 703.448 | 496.552 | 5:2 | 2.500 | Semihard 5L 2s | |||
| 10\17 | 705.882 | 494.118 | 3:1 | 3.000 | Hard 5L 2s | |||
| 13\22 | 709.091 | 490.909 | 4:1 | 4.000 | Superhard 5L 2s | |||
| 3\5 | 720.000 | 480.000 | 1:0 | → ∞ | Collapsed 5L 2s | |||