Metallic MOS: Difference between revisions

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 [[File:1200px-SternBrocotTree.svg.png|618x618px]]
-As we can see, Stern-Brocot tree actually covers ratios greater than 1, but for met-MOS purposes, we only need to consider the left half of it (in fact, we only need to consider the left quarter of it, since generators greater than 1/2 are complements of those less than 1/2 and generate the same scales; but more on that later).
+As we can see, Stern-Brocot tree actually covers ratios greater than 1, but for met-MOS purposes, we only need to consider the left half of it (in fact, we only need to consider the left quarter of it, since generators greater than <span><math>\frac 12</math></span> are complements of those less than <span><math>\frac 12</math></span> and generate the same scales; but more on that later).
 So to quickly find a unique metallic generator, we only have to choose a ratio from the tree, and then choose either one of its two parent ratios; the line connecting these two ratios will be our interval.