9edo: Difference between revisions

Tristanbay (talk | contribs)
Subsets and supersets: Removed sentence about 9edo being the trivial tuning of ennealimmal and added that 9edo tempers out 27/25 (one of the detempered steps of ennealimmal)
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Lériendil (talk | contribs)
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9edo is the first odd composite edo, containing [[3edo]] as a subset.  
9edo is the first odd composite edo, containing [[3edo]] as a subset.  


The [[ennealimmal]] temperament contains 9et as a subset and is excellent in the 7-limit. However, 9edo by itself tempers out 27/25 by [[Val|patent val]], rather than representing it as 1\9 like in ennealimmal.
The [[ennealimmal]] temperament contains 9edo as a subset (splitting 2/1 into 9 equal parts) and is excellent in the 7-limit. However, 9edo by itself tempers out 27/25 by [[Val|patent val]], rather than representing it as 1\9 like in ennealimmal, although the 9bccd val contains both the 27/25 and 7/6 representations above and therefore supports ennealimmal.


== Notation ==
== Notation ==