Fractal scale: Difference between revisions

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+== Modes ==
+It is possible for a fractal scale to have various modes. However, unlike [[MOS scales]], the modes of a fractal scale are not ordinary [[rotation]]s of a scale. Instead, modes correspond to the rotations of the ratio used to divide the scale. For example, here are the modes of an order-2 logarithmic fractal scale with scale steps divided into 1:2:3:
+{{todo|add FRACNAMS|inline=1|comment=Add FRACNAMS name for modes.}}
+{| class="wikitable"
+|+ Modes of 1:2:3 logarithmic fractal scales in 36edo
+! Mode rotational order
+! Division pattern
+! FRACNAMS
+! [[Step pattern]] (36edo)
+! Scale [[degree]]s (36edo)
+|-
+| 0
+| 1:2:3
+|
+| 1 2 3 2 4 6 3 6 9
+| 1 3 6 8 12 18 21 27 36
+|-
+| 1
+| 2:3:1
+|
+| 4 6 2 6 9 3 2 3 1
+| 4 10 12 18 27 30 32 35 36
+|-
+| 2
+| 3:1:2
+|
+| 9 3 6 3 1 2 6 2 4
+| 9 12 18 21 22 24 30 32 36
 |}