User:Inthar/21edo: Difference between revisions

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* 1143 can be used internally but not 1257.

=== Diasem harmony ===

[[Diasem]] is an MV3 scale with step pattern either (left-handed) MLSLMLLSL or (right-handed) MLSLMLSLL which are non-superimposable mirror images. As its name suggests, it has qualities intermediate that of [[19edo]]'s [[diatonic]] mos and [[23edo]]'s [[semiquartal]] mos. 21edo diasem also has a non-chiral alteration 231323223, which, however, is only MV3 because of the specific step ratio 3:2:1 it has in 21edo.

[[Diasem]] is an MV3 scale with step pattern either (left-handed) MLSLMLLSL or (right-handed) MLSLMLSLL which are non-superimposable mirror images. As its name suggests, 21edo diasem has qualities intermediate that of [[19edo]]'s [[diatonic]] mos and [[23edo]]'s [[semiquartal]] mos. 21edo diasem also has a non-chiral alteration 231323223, which, however, is only MV3 because of the specific step ratio 3:2:1 it has in 21edo.

The basic Locrian 7th chord has a brighter version 0-343-629-1029 and a darker version 0-286-571-971. The bright version occurs in both diasem Locrians. A more xen one can be made by lowering either 343 or 1029 by one step, which exists in some variant of diasem Locrian. Unfortunately, the darker Locrian seventh chord doesn't appear in any unaltered diasem mode in 21edo. To remedy this one could split (add a comma step to) the tritone and the minor 2nd, yielding 11313113313.

@@ Line 199: / Line 199: @@
 * 1143 can be used internally but not 1257.
 === Diasem harmony ===
-[[Diasem]] is an MV3 scale with step pattern either (left-handed) MLSLMLLSL or (right-handed) MLSLMLSLL which are non-superimposable mirror images. As its name suggests, it has qualities intermediate that of [[19edo]]'s [[diatonic]] mos and [[23edo]]'s [[semiquartal]] mos. 21edo diasem also has a non-chiral alteration 231323223, which, however, is only MV3 because of the specific step ratio 3:2:1 it has in 21edo.
+[[Diasem]] is an MV3 scale with step pattern either (left-handed) MLSLMLLSL or (right-handed) MLSLMLSLL which are non-superimposable mirror images. As its name suggests, 21edo diasem has qualities intermediate that of [[19edo]]'s [[diatonic]] mos and [[23edo]]'s [[semiquartal]] mos. 21edo diasem also has a non-chiral alteration 231323223, which, however, is only MV3 because of the specific step ratio 3:2:1 it has in 21edo.
 The basic Locrian 7th chord has a brighter version 0-343-629-1029 and a darker version 0-286-571-971. The bright version occurs in both diasem Locrians. A more xen one can be made by lowering either 343 or 1029 by one step, which exists in some variant of diasem Locrian. Unfortunately, the darker Locrian seventh chord doesn't appear in any unaltered diasem mode in 21edo. To remedy this one could split (add a comma step to) the tritone and the minor 2nd, yielding 11313113313.