Scale: Difference between revisions

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== Reentrant scales ==

A '''reentrant scale''' features at least one '''negative step''', going backwards relative to the general direction of the scale. Although a reentrant scale is not strictly ascending or descending, its ascending and descending forms are determined by its general direction.

A '''reentrant scale''' features at least one '''[[Kite's thoughts on negative intervals|negative step]]''', going backwards relative to the general direction of the scale. Although a reentrant scale is not strictly ascending or descending, its ascending and descending forms are determined by its general direction.

This concept is mostly relevant when applying extreme tunings to abstract scales, causing some steps to have a negative size in order to preserve the abstract scale's usual structure. For example, if you try to generate a [[MOS scale]] with a [[generator]] whose size falls outside of the generator range of all possible MOS patterns with the same given number of notes, you should obtain a negative MOS scale. A 7-tone scale with a 295{{cent}} generator is just outside of the range for [[4L 3s]], and can be interpreted as a 4L 3s scale with 315{{cent}} large steps and -20{{cent}} (negative) small steps.

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 == Reentrant scales ==
-A '''reentrant scale''' features at least one '''negative step''', going backwards relative to the general direction of the scale. Although a reentrant scale is not strictly ascending or descending, its ascending and descending forms are determined by its general direction.
+A '''reentrant scale''' features at least one '''[[Kite's thoughts on negative intervals|negative step]]''', going backwards relative to the general direction of the scale. Although a reentrant scale is not strictly ascending or descending, its ascending and descending forms are determined by its general direction.
 This concept is mostly relevant when applying extreme tunings to abstract scales, causing some steps to have a negative size in order to preserve the abstract scale's usual structure. For example, if you try to generate a [[MOS scale]] with a [[generator]] whose size falls outside of the generator range of all possible MOS patterns with the same given number of notes, you should obtain a negative MOS scale. A 7-tone scale with a 295{{cent}} generator is just outside of the range for [[4L 3s]], and can be interpreted as a 4L 3s scale with 315{{cent}} large steps and -20{{cent}} (negative) small steps.