250edo: Difference between revisions
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Expansion. An edo page should at least include the information about quality of the one or few obvious mappings |
expanding a bit, divisors |
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{{EDO intro|250}} | {{EDO intro|250}} | ||
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''' … }}. | 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. Being a small multiple of [[10edo]], it equates 13/8 with 0.7 octaves. 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''' … }}. | ||
In addition, in the patent val in the 11-limit, it is a tuning for the [[Minortonic family#Seminar|seminar]] temperament. | |||
=== Divisors === | |||
250edo has subset edos {{EDOs|1, 2, 5, 10, 25, 50, 125}}. | |||
=== Odd harmonics === | === Odd harmonics === | ||
{{Harmonics in equal|250}} | {{Harmonics in equal|250}} | ||
Revision as of 23:44, 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. Being a small multiple of 10edo, it equates 13/8 with 0.7 octaves. 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 …].
In addition, in the patent val in the 11-limit, it is a tuning for the seminar temperament.
Divisors
250edo has subset edos 1, 2, 5, 10, 25, 50, 125.
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) | |