Fractal scale: Difference between revisions

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VisualWikitext

@@ Line 154: / Line 154: @@
 !Step visualization
 !Chord
-!Intervals < 1/16
+!Intervals > 1/16
 |-
 |0
@@ Line 208: / Line 208: @@
 |}
-Alternatively, we can do '''pre-stopping''' -- we stop dividing the interval if any of the ''divided parts'' of the interval would be smaller than the threshold. Here is another example:
+Alternatively, we can do '''pre-stopping''' -- we stop dividing the interval if any of the ''divided parts'' of the interval would be smaller than the threshold. This has the advantage that no interval in any of the scales will be smaller than the threshold. Here is another example:
-{{todo|add examples|inline=1|comment=Create table with a simple example.}}
+{| class="wikitable"
+|+ Pre-stopped 3:4:6 truncated linear fractal scales, threshold ''ε'' = 1/16
+!Order
+!Number of steps
+!Step visualization
+!Chord
+!Intervals > 1/16
+|-
+|0
+|1
+|├───────────────────────────────────────────────────────────────┤
+|1:2
+|1 = 1/3 + 2/3
+|-
+|1
+|2
+|├────────────────────┼──────────────────────────────────────────┤
+|3:4:6
+|1/3 = 1/9 + 2/9
+/3 = 2/9 + 4/9
+|-
+|2
+|4
+|<span style="color:red">├──────┼</span>─────────────┼─────────────┼────────────────────────────┤
+|9:10:12:14:18
+|2/9 = 2/27 + 4/27
+/9 = 4/27 + 8/27
+|-
+|3
+|7
+|<span style="color:red">├──────┼────┼────────┼────┼────────┼────────┼</span>───────────────────┤
+|27:30:32:36:38:42:46:54
+|8/27 = 8/81 + 16/81
+|-
+|4
+|8
+|<span style="color:red">├──────┼────┼────────┼────┼────────┼────────┼─────┼</span>─────────────┤
+|81:90:96:108:114:126:138:146:162
+|16/81 = 16/243 + 32/243
+|-
+|5
+|9
+|<span style="color:red">├──────┼────┼────────┼────┼────────┼────────┼─────┼────┼────────┤</span>
+|243:270:288:324:342:378:414:438:454:486
+|none
+|}
 == Formulas ==