Equiheptatonic: Difference between revisions

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 Musical traditions that make use of equiheptatonic scales include:
+* [[Music of Georgia|Georgian music]]
 * Eastern [[Angolan music]]
 * Ancient [[Chinese music]]
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 An exactly equal equiheptatonic scale equals '''[[7edo]]''', which is popular with modern Western xenharmonic composers.
+== Equiheptatonic scales in edos ==
+All multiple-of-7 [[edo]]s ({{EDOs|7, 14, 21, 28, 35…}}) contain the exactly equal 7edo equiheptatonic scale.
+In most traditions that use them, equiheptatonic scales are slightly unequal and slightly closer to [[just]] (rarely slightly further from, but only by a tiny amount). There are a diverse array of those used in different regions.
+For that reason, it might be more fruitful for composers to explore edos with equiheptatonic scales that share those characteristics. that is, after all, its own diverse array of subtly different equiheptatonic scales.
+Such edos include:
+; 1edo to 40edo
+{{EDOs|26, 29, 33, 36, 38, 40}}
+; 41edo to 60edo
+{{EDOs|43, 45, 47, 50, 52, 54, 57, 59}}
+; 61edo to 80edo
+{{EDOs|61, 64, 66, 68, 71, 73, 75, 78, 80}}
+; 81edo to 100edo
+{{EDOs|82, 85, 86, 87, 89, 92, 93, 94, 96, 99, 100}}
+From the list it can be seen that edos with this type of equiheptatonic scale are often [[runoff]] edos{{idiosyncratic}}, they are often [[dual-fifth]] edos and they often support [[flattone]], [[flattertone]], or a related temperament. None of these things are always true: just true more often than chance.
 == See also ==
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 [[Category:7-tone scales]][[Category:7edo]][[Category:Traditions]]
+{{Todo|cultural expertise}}