Operations on MOSes: Difference between revisions

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 * Neutralizing 5L 3s (gen between 3\8 and 3\5) results in 2L 6s with period 1\2 (!) and generator between 1\8 and 1\10 (sinaic to flat neutral 2nd).
 * Neutralizing 2L 5s (gen between 6\11 and 4\7) results in 4L 3s with generator 3\11 to 2\7.
+== Dualization ==
+'''Dualization''' creates new MOS patterns from a MOS pattern in a specific EDO by swapping step sizes with step frequencies.
+xL ys can be read as a formula: ''x'' * ''L'' + ''y'' * ''s'' = edo-size. From this formula it is clear we can swap for example ''x'' (the number of L-steps) with ''L'' (the size of the L-step) to get a new MOS scale in the same EDO, this is called the '''L-dual'''. Similarly we have the '''s-dual''' and when swapping both we get the '''Ls-dual''' (or just the '''dual''').
+For example, take 5L 2s in 43 EDO, with L=7 and s=4:
+* The L-dual is 7L 2s with L=5 and s=4
+* The s-dual is 5L 4s with L=7 and s=2
+* The Ls-dual is 7L 4s with L=5 and s=2
 [[Category:MOS]]