User:Inthar/21edo: Difference between revisions

Line 1:

I ([[User:Inthar|Inthar]]) view [[21edo]] in two ways:

# Viewed more traditionally, it's a "color system" with traditional triadic harmony, 7edo circles of fifths, and many interesting colors for intervals.

# Viewed more traditionally, it's a "color system" with traditional triadic harmony, 7edo circles of fifths, and many interesting colors for intervals. One possible scalar realization of this is the [[MV3]] scale [[diasem]] with step ratio L:M:S = 3:2:1.

# As a [[MOS]] system, its most interesting MOS scales are [[soft]] [[oneirotonic]] and perhaps [[miracle]] and [[orwelloid]]. (The other mos scales are variants of 12edo multimosses.)

Line 197:

* More dissonant extensions (might want to use nejification for these?): 57 (submin2), 743 (sup5)

* 1143 can be used internally but not 1257.

=== Diasem harmony ===

21edo diasem is an MV3 scale with step pattern either 231323313 or 231323133. Diasem also has a non-chiral alteration 232313232, which, however, is only MV3 because of the specific step ratio 3:2:1 it has in 21edo.

The most basic and normal sounding Locrian 7th chord is 0-343-629-1029. A more xen one can be made by lowering either 343 or 1029 by one step, which exists in some variant of diasem Locrian.

== Oneirotonic harmony ==

== Modulations ==

@@ Line 1: / Line 1: @@
 I ([[User:Inthar|Inthar]]) view [[21edo]] in two ways:
-# Viewed more traditionally, it's a "color system" with traditional triadic harmony, 7edo circles of fifths, and many interesting colors for intervals.
+# Viewed more traditionally, it's a "color system" with traditional triadic harmony, 7edo circles of fifths, and many interesting colors for intervals. One possible scalar realization of this is the [[MV3]] scale [[diasem]] with step ratio L:M:S = 3:2:1.
 # As a [[MOS]] system, its most interesting MOS scales are [[soft]] [[oneirotonic]] and perhaps [[miracle]] and [[orwelloid]]. (The other mos scales are variants of 12edo multimosses.)
@@ Line 197: / Line 197: @@
 * More dissonant extensions (might want to use nejification for these?): 57 (submin2), 743 (sup5)
 * 1143 can be used internally but not 1257.
+=== Diasem harmony ===
+edo diasem is an MV3 scale with step pattern either 231323313 or 231323133. Diasem also has a non-chiral alteration 232313232, which, however, is only MV3 because of the specific step ratio 3:2:1 it has in 21edo.
+The most basic and normal sounding Locrian 7th chord is 0-343-629-1029. A more xen one can be made by lowering either 343 or 1029 by one step, which exists in some variant of diasem Locrian.
 == Oneirotonic harmony ==
 == Modulations ==