1-3-5-9 hexany: Difference between revisions

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 !
-/8
+.901
-/4
+.313
-/2
+.955
-/3
+.358
-/8
+.268
-/1
 </pre>
 Suggested keyboard mapping: Start on C, using all white notes except the F.
+== Expansions ==
+As this is comprised entirely of simple 5-limit intervals, using one of those as an offset interval to produce a bihexany will produce a scale with less than 12 notes. While still usable, these 7 scales will not give you the greatest possible variety of options.
+* [[1-3-5-9 by 4/3 bihexany]]
+* [[1-3-5-9 by 6/5 bihexany]]
+* [[1-3-5-9 by 8/5 bihexany]]
+* [[1-3-5-9 by 10/9 bihexany]]
+* [[1-3-5-9 by 16/9 bihexany]]
+* [[1-3-5-9 by 16/15 bihexany]]
+* [[1-3-5-9 by 27/20 bihexany]]
+Instead, an interval that is either close to a tritone, or falls precisely between the cracks of the 12edo keyboard will give you the most harmonic and melodic utility.
+* [[1-3-5-9 by 7/5 bihexany]]
+* [[1-3-5-9 by 64/45 bihexany]]
+* [[1-3-5-9 by 17/12 bihexany]]
+* [[1-3-5-9 by 13/9 bihexany]]
+* [[1-3-5-9 by 11/9 bihexany]]
+Dekanies follow a similar pattern, with the extra four notes always forming a 1 9/8 5/4 3/2 tetrad, but its position related to the other 6 notes and number of overlaps varies widely.
+* [[1-3-5-7-9 dekany]]
+* [[1-3-5-9-11 dekany]]
+* [[1-3-5-9-13 dekany]]
+* [[1-3-5-9-15 dekany]]
+* [[1-3-5-9-17 dekany]]
+* [[1-3-5-9-19 dekany]]
+* [[1-3-5-9-21 dekany]]
+* [[1-3-5-9-23 dekany]]
+* [[1-3-5-9-25 dekany]]
+* [[1-3-5-9-27 dekany]]
+* [[1-3-5-9-45 dekany]]
+* [[1-3-5-9-81 dekany]]
 == Music ==