Fractal scale: Difference between revisions
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== Modes == | == 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: | 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: | ||
{| class="wikitable" | {| class="wikitable" | ||
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! Mode rotational order | ! Mode rotational order | ||
! Division pattern | ! Division pattern | ||
! FRACNAMS | ! [[FRACNAMS]] | ||
! [[Step pattern]] (36edo) | ! [[Step pattern]] (36edo) | ||
! Scale [[degree]]s (36edo) | ! Scale [[degree]]s (36edo) | ||
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| 0 | | 0 | ||
| 1:2:3 | | 1:2:3 | ||
| | | Rock | ||
| 1 2 3 2 4 6 3 6 9 | | 1 2 3 2 4 6 3 6 9 | ||
| 1 3 6 8 12 18 21 27 36 | | 1 3 6 8 12 18 21 27 36 | ||
| Line 277: | Line 274: | ||
| 1 | | 1 | ||
| 2:3:1 | | 2:3:1 | ||
| | | Scissors | ||
| 4 6 2 6 9 3 2 3 1 | | 4 6 2 6 9 3 2 3 1 | ||
| 4 10 12 18 27 30 32 35 36 | | 4 10 12 18 27 30 32 35 36 | ||
| Line 283: | Line 280: | ||
| 2 | | 2 | ||
| 3:1:2 | | 3:1:2 | ||
| | | Paper | ||
| 9 3 6 3 1 2 6 2 4 | | 9 3 6 3 1 2 6 2 4 | ||
| 9 12 18 21 22 24 30 32 36 | | 9 12 18 21 22 24 30 32 36 | ||