250edo: Difference between revisions

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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''' … }}.

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, where the 13/8 derives from [[10edo]] (7\10). 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.

=== Odd harmonics ===

=== Divisors ===

250edo has subset edos {{EDOs|1, 2, 5, 10, 25, 50, 125}}.

250edo has subset edos {{EDOs| 2, 5, 10, 25, 50, 125 }}.

Since 2.3.5.7 harmonics in the patent val 250edo come from 125edo, and 11.13 harmonics in the patent val come from 50edo, this system is worthy of being considered as a superset of these two temperaments.

~~=== Odd harmonics ===~~

Since the 2.3.5.7 subgroup in the patent val comes from 125et, and the 2.11.13 subgroup in the patent val comes from 50et, this system is worthy of being considered as a superset of these two temperaments.

~~{{Harmonics~~ in ~~equal|250}}~~

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 {{EDO intro|250}}
-edo 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''' … }}.
+edo is [[enfactoring|enfactored]] in the 7-limit, with the same tuning as 125edo, but provides a closer approximation to the harmonics 11 and 13, where the 13/8 derives from [[10edo]] (7\10). 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.
+=== Odd harmonics ===
+{{Harmonics in equal|250}}
 === Divisors ===
-edo has subset edos {{EDOs|1, 2, 5, 10, 25, 50, 125}}.
+edo has subset edos {{EDOs| 2, 5, 10, 25, 50, 125 }}.
-Since 2.3.5.7 harmonics in the patent val 250edo come from 125edo, and 11.13 harmonics in the patent val come from 50edo, this system is worthy of being considered as a superset of these two temperaments.
-=== Odd harmonics ===
+Since the 2.3.5.7 subgroup in the patent val comes from 125et, and the 2.11.13 subgroup in the patent val comes from 50et, this system is worthy of being considered as a superset of these two temperaments.
-{{Harmonics in equal|250}}