1000edo: Difference between revisions

Francium (talk | contribs)
m +categories
Eliora (talk | contribs)
I am starting to like the bold introduction on 270edo's page so I edited it into 311edo, 1000edo, and I think every edo that is used as a step could have this written in an intro.
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{{EDO intro|1000}}
{{EDO intro|1000}}


1000edo is notable mostly because it is the equal division corresponding to [[millioctave]]s.
1000edo's step size is called a '''millioctave''' when used as an [[interval size unit]].


== Theory ==
== Theory ==
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=== Subsets and supersets ===
=== Subsets and supersets ===
1000edo carries the interval size measure ''millioctave''. Since 1000 factors into {{factorization|1000}}, 1000edo has subset edos {{EDOs| 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, and 500 }}.
Since 1000 factors into {{factorization|1000}}, 1000edo has subset edos {{EDOs| 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, and 500 }}.


[[2000edo]], which doubles 1000edo, is consistent in the 29-odd-limit and thus provides good corrections for harmonics 7, [[11/1|11]], [[13/1|13]], [[17/1|17]], and [[23/1|23]].
[[2000edo]], which doubles 1000edo, is consistent in the 29-odd-limit and thus provides good corrections for harmonics 7, [[11/1|11]], [[13/1|13]], [[17/1|17]], and [[23/1|23]].