Maximum variety: Difference between revisions
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=== Classification of MV3 scales === | === Classification of MV3 scales === | ||
# A single-period MV3 is either pairwise well-formed (PWF), equivalent to abcba, or a "twisted" word constructed as follows: | # A single-period MV3 is either pairwise well-formed (PWF), equivalent to abcba, or a "twisted" word constructed as follows: | ||
## Start with a power of | ## Start with a power of a mos word ''w''(X, Z) that begins with a X and ending with a Z and has an even number of X's. | ||
## Interchange some of the Z's and X's at some of the borders of these copies of the mos word ''w''. | ## Interchange some of the Z's and X's at some of the borders of these copies of the mos word ''w''. | ||
## Replace every other X with Y in ''w''. | ## Replace every other X with Y in ''w''. | ||