250edo: Difference between revisions
Jump to navigation
Jump to search
Created page with "{{Infobox ET}} {{EDO intro|250}} ==Theory== 250edo is enfactored in the 7-limit, with the same tuning as 125edo. === Odd harmonics === {{harmonics in equal|250}}" |
Expansion. An edo page should at least include the information about quality of the one or few obvious mappings |
||
| Line 1: | Line 1: | ||
{{Infobox ET}} | {{Infobox ET}} | ||
{{EDO intro|250}} | {{EDO intro|250}} | ||
250edo is enfactored in the 7-limit, with the same tuning as 125edo. | 250edo is [[enfactoring|enfactored]] in the 7-limit, with the same tuning as 125edo, but provides a closer approximation to the harmonics 11 and 13. Even so, there are a number of mappings to be considered, in particular, a less flat-tending [[patent val]] {{val| 250 396 580 '''702''' '''865''' '''925''' … }} and a more flat-tending 250deff… val {{val| 250 396 580 '''701''' '''864''' '''924''' … }}. | ||
=== Odd harmonics === | === Odd harmonics === | ||
{{ | {{Harmonics in equal|250}} | ||
Revision as of 16:47, 23 January 2023
| ← 249edo | 250edo | 251edo → |
250edo is enfactored in the 7-limit, with the same tuning as 125edo, but provides a closer approximation to the harmonics 11 and 13. Even so, there are a number of mappings to be considered, in particular, a less flat-tending patent val ⟨250 396 580 702 865 925 …] and a more flat-tending 250deff… val ⟨250 396 580 701 864 924 …].
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -1.16 | -2.31 | +0.77 | -2.31 | +0.68 | -0.53 | +1.33 | +0.64 | +0.09 | -0.38 | +0.53 |
| Relative (%) | -24.1 | -48.2 | +16.1 | -48.1 | +14.2 | -11.0 | +27.7 | +13.4 | +1.8 | -7.9 | +11.0 | |
| Steps (reduced) |
396 (146) |
580 (80) |
702 (202) |
792 (42) |
865 (115) |
925 (175) |
977 (227) |
1022 (22) |
1062 (62) |
1098 (98) |
1131 (131) | |