Wedgie/Archived version: Difference between revisions

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 === Example ===
-Consider the wedgie W = &lt;&lt;1 4 4|| for 2.3.5 meantone (the 12&19 temperament). We have W(2,3) = 1 and W(2,5) = 4, so d = 1, and our period is 1\1. Further, using the EEA: 1*W(2,3) + 0*W(2,5) = 1, so we can use 3^1 * 5^0 = 3/1 as our generator. Alternatively, W(2, 3/2) = W(2,3) - W(2, 2) = W(2, 3) = 1, so 3/2 is a valid generator for meantone as well.
+Consider the wedgie W = &lt;&lt;1 4 4|| for 2.3.5 meantone (the 12&19 temperament). We have W(2,3) = 1 and W(2,5) = 4, so d = 1, and our period is 1\1. Further, using the EEA: 1*W(2,3) + 0*W(2,5) = 1, so we can use 3^1 * 5^0 = 3/1 as our generator.
 === Proof (a bit technical) ===