590edo: Difference between revisions

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~~==Theory==~~

590edo has the same tuning as the [[118edo]] in the 5-limit and provides a good correction for the 2.7.11.13 subgroup, altogether being consistent in the 15-odd-limit. Among the 118th-octave temperaments, it by definition tunes [[parakleischis]] as well as [[centenniamajor]] in the 590ee val.

Besides that, it is a tuning for the [[quintaschis]] temperament in the 5-limit.

590edo has the same tuning as the [[118edo]] in the 5-limit and provides a good correction for the [[harmonic]]s [[7/1|7]], [[11/1|11]], and [[13/1|13]], altogether being [[consistent]] in the [[15-odd-limit]]. Among the 118th-octave temperaments, it by definition tunes [[parakleischis]] as well as [[peithoian]] in the 590ee val.

===Prime harmonics===

Besides that, it is a tuning for the [[quintaschis]] temperament in the 7-limit.

=== Prime harmonics ===

=== Subsets and supersets ===

Since 590 factors into {{factorization|590}}, 590edo has subset edos {{EDOs| 2, 5, 10, 59, 118, and 295 }}.

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-{{EDO intro|590}}
+{{ED intro}}
-==Theory==
-edo has the same tuning as the [[118edo]] in the 5-limit and provides a good correction for the 2.7.11.13 subgroup, altogether being consistent in the 15-odd-limit. Among the 118th-octave temperaments, it by definition tunes [[parakleischis]] as well as [[centenniamajor]] in the 590ee val.
-Besides that, it is a tuning for the [[quintaschis]] temperament in the 5-limit.
+edo has the same tuning as the [[118edo]] in the 5-limit and provides a good correction for the [[harmonic]]s [[7/1|7]], [[11/1|11]], and [[13/1|13]], altogether being [[consistent]] in the [[15-odd-limit]]. Among the 118th-octave temperaments, it by definition tunes [[parakleischis]] as well as [[peithoian]] in the 590ee val.
-===Prime harmonics===
+Besides that, it is a tuning for the [[quintaschis]] temperament in the 7-limit.
+=== Prime harmonics ===
 {{harmonics in equal|590}}
+=== Subsets and supersets ===
+Since 590 factors into {{factorization|590}}, 590edo has subset edos {{EDOs| 2, 5, 10, 59, 118, and 295 }}.