11edo: Difference between revisions

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== Scales ==

=== MOS scales ===

Although 11edo has one fewer interval in the octave than 12edo, in terms of [[MOS scale|moment-of-symmetry scales]], it offers a great deal more variety. This is because 11 is a prime number, while 12 is composite. Cycles of 2\11 (two degrees of 11edo), 3\11, 4\11 and 5\11 produce scales which do not repeat at the octave until all 11 intervals have been included.

~~2\11 generates 2 2 2 2 3, a [[1L 4s]] scale named machine[5]; and 2 2 2 2 2 1, a [[5L 1s]] scale named [[machine]][6].~~

~~[[File:Screen Shot 2020-04-23 at 11.32.40 PM.png|none|thumb|1003x1003px]]~~

~~3\11 generates 3 3 3 2; and 1 2 1 2 1 2 2, a [[4L 3s]] scale named [[orgone]][7].~~

~~[[File:Screen Shot 2020-04-23 at 11.33.13 PM.png|none|thumb|987x987px]]~~

~~4\11 generates 4 4 3; 1 3 1 3 3, a [[3L 2s]] scale; and 1 1 2 1 1 2 1 2, a [[3L 5s]] scale.~~

~~[[File:Screen Shot 2020-04-23 at 11.33.29 PM.png|none|thumb|970x970px]]~~

~~5\11 generates [[joan]] scales 5 5 1; 1 4 1 4 1, a [[2L 3s]] scale; 1 1 3 1 1 3 1, a [[2L 5s]] scale; and 1 1 1 2 1 1 1 2 1, a [[2L 7s]] scale.~~

~~[[File:Screen Shot 2020-04-23 at 11.33.44 PM.png|none|thumb|995x995px]]~~

~~See [[11edo Modes]]~~

=== Pathological modes ===

@@ Line 454: / Line 454: @@
 == Scales ==
+{{Main|11edo modes}}
+=== MOS scales ===
+{{Main|List of 11edo MOS scales}}
 Although 11edo has one fewer interval in the octave than 12edo, in terms of [[MOS scale|moment-of-symmetry scales]], it offers a great deal more variety. This is because 11 is a prime number, while 12 is composite. Cycles of 2\11 (two degrees of 11edo), 3\11, 4\11 and 5\11 produce scales which do not repeat at the octave until all 11 intervals have been included.
-\11 generates 2 2 2 2 3, a [[1L 4s]] scale named machine[5]; and 2 2 2 2 2 1, a [[5L 1s]] scale named [[machine]][6].
-[[File:Screen Shot 2020-04-23 at 11.32.40 PM.png|none|thumb|1003x1003px]]
-\11 generates 3 3 3 2; and 1 2 1 2 1 2 2, a [[4L 3s]] scale named [[orgone]][7].
-[[File:Screen Shot 2020-04-23 at 11.33.13 PM.png|none|thumb|987x987px]]
-\11 generates 4 4 3; 1 3 1 3 3, a [[3L 2s]] scale; and 1 1 2 1 1 2 1 2, a [[3L 5s]] scale.
-[[File:Screen Shot 2020-04-23 at 11.33.29 PM.png|none|thumb|970x970px]]
-\11 generates [[joan]] scales 5 5 1; 1 4 1 4 1, a [[2L 3s]] scale; 1 1 3 1 1 3 1, a [[2L 5s]] scale; and 1 1 1 2 1 1 1 2 1, a [[2L 7s]] scale.
-[[File:Screen Shot 2020-04-23 at 11.33.44 PM.png|none|thumb|995x995px]]
-See [[11edo Modes]]
 === Pathological modes ===