Fractal scale: Difference between revisions
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| 1 | | 1 | ||
| 2 | | 2 | ||
| 2:3:4 | | 2:3:4 ([[2afdo]) | ||
|- | |- | ||
| 2 | | 2 | ||
| 4 | | 4 | ||
| 4:5:6:7:8 | | 4:5:6:7:8 ([[4afdo]]) | ||
|- | |- | ||
| 3 | | 3 | ||
| 8 | | 8 | ||
| 8:9:10:11:12:13:14:15:16 | | 8:9:10:11:12:13:14:15:16 ([[8afdo]]) | ||
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{| class="wikitable" | |||
|+3:4:6 linear fractal scales | |||
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! Order | |||
! Number of steps | |||
! Chord | |||
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| 0 | |||
| 1 | |||
| 1:2 | |||
|- | |||
| 1 | |||
| 2 | |||
| 3:4:6 | |||
|- | |||
| 2 | |||
| 4 | |||
| 6:7:8:10:12 | |||
|- | |||
| 3 | |||
| 8 | |||
| 12:13:14:15:16:18:20:22:24 | |||
|} | |||
=== Logarithmic fractal scales === | === Logarithmic fractal scales === | ||
A series of [[octave]]-repeating fractal scales can be created using the [[golden ratio]] (here treated as [[logarithmic phi]]) and the octave. Various [[edo]]s approximate this series to a certain degree of precision. The example below uses the first nine terms of the Fibonacci sequence (1, 2, 3, 5, 8, 13, 21, 34, 55) to approximate golden fractal scales in [[55edo]]. | A series of [[octave]]-repeating fractal scales can be created using the [[golden ratio]] (here treated as [[logarithmic phi]]) and the octave. Various [[edo]]s approximate this series to a certain degree of precision. The example below uses the first nine terms of the Fibonacci sequence (1, 2, 3, 5, 8, 13, 21, 34, 55) to approximate golden fractal scales in [[55edo]]. | ||