The wedgie: Difference between revisions
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'''Example:''' | '''Example:''' | ||
Consider the wedgie W = <<1 4 4|| for 2.3.5 meantone. We have W(2,3) = 1 and W(2,5) = 4, so d = 1, and our period is 1\1. We already have W(2,3) = 1, so we can use 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 = <<1 4 4|| for 2.3.5.7 meantone. We have W(2,3) = 1 and W(2,5) = 4, so d = 1, and our period is 1\1. We already have W(2,3) = 1, so we can use 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. | ||
'''Proof:''' | '''Proof:''' | ||