Operations on MOSes: Difference between revisions

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=== Dualization ===

Given a MOS pattern ''x''L ''y''s with ~~concrete~~ step sizes L and s, '''dualization''' is the process in which the values of ''x'' and L are swapped, the values of ''y'' and s are swapped, or both are swapped. This is not to be confused with the sister operation.

Unlike all the other operations, this operation only applies to a MOS tuned to an edo. The resulting MOS varies depending on the specific edo.

Given a MOS pattern ''x''L ''y''s with whole-number step sizes L and s, '''dualization''' is the process in which the values of ''x'' and L are swapped, the values of ''y'' and s are swapped, or both are swapped. This is not to be confused with the sister operation.

Depending on which values are swapped, a different MOS scale is produced; however, the relationship between these scales depends on the sizes of L and s, and since {{nowrap|''x''L + ''y''s}} corresponds to the edo that supports the MOS, these relationships also depends on the edo. Additionally, it's possible for a dual to be itself, if either ''x'' and L are the same or ''y'' and s are the same.

@@ Line 154: / Line 154: @@
 === Dualization ===
-Given a MOS pattern ''x''L&nbsp;''y''s with concrete step sizes L and s, '''dualization''' is the process in which the values of ''x'' and L are swapped, the values of ''y'' and s are swapped, or both are swapped. This is not to be confused with the sister operation.
+Unlike all the other operations, this operation only applies to a MOS tuned to an edo. The resulting MOS varies depending on the specific edo.
+Given a MOS pattern ''x''L&nbsp;''y''s with whole-number step sizes L and s, '''dualization''' is the process in which the values of ''x'' and L are swapped, the values of ''y'' and s are swapped, or both are swapped. This is not to be confused with the sister operation.
 Depending on which values are swapped, a different MOS scale is produced; however, the relationship between these scales depends on the sizes of L and s, and since {{nowrap|''x''L + ''y''s}} corresponds to the edo that supports the MOS, these relationships also depends on the edo. Additionally, it's possible for a dual to be itself, if either ''x'' and L are the same or ''y'' and s are the same.