Ternary scale theorems: Difference between revisions

Line 19:

* An ''n''-''ary'' scale is a scale with ''n'' different step sizes. ''Binary'' and ''ternary'' are used when {{nowrap|''n'' {{=}} 2 and 3}}, respectively.

* For the ''well-formed generator sequence'' (WFGS) property, see the [[generator sequence]] article.

* The property of having a WFGS of period 2 is important as it is equivalent to being an odd-regular MV3 scale; see below. It used to be called the "SGA property" in past versions of this article.

* The property of having a WFGS of period 2, denoted WFGS-2 in this article, is important as it is equivalent to being an odd-regular MV3 scale; see below. It used to be called the "SGA property" in past versions of this article.

* An ''odd-step'' is a ''k''-step where ''k'' is odd; an ''even-step'' is defined similarly.

* Given a linear or circular word ''s'' with a step size '''X''', define ''E''<sub>'''X'''</sub>(''s'') as the scale word resulting from deleting all instances of '''X''' from ''s''.

@@ Line 19: / Line 19: @@
 * An ''n''-''ary'' scale is a scale with ''n'' different step sizes. ''Binary'' and ''ternary'' are used when {{nowrap|''n'' {{=}} 2 and 3}}, respectively.
 * For the ''well-formed generator sequence'' (WFGS) property, see the [[generator sequence]] article.
-* The property of having a WFGS of period 2 is important as it is equivalent to being an odd-regular MV3 scale; see below. It used to be called the "SGA property" in past versions of this article.
+* The property of having a WFGS of period 2, denoted WFGS-2 in this article, is important as it is equivalent to being an odd-regular MV3 scale; see below. It used to be called the "SGA property" in past versions of this article.
 * An ''odd-step'' is a ''k''-step where ''k'' is odd; an ''even-step'' is defined similarly.
 * Given a linear or circular word ''s'' with a step size '''X''', define ''E''<sub>'''X'''</sub>(''s'') as the scale word resulting from deleting all instances of '''X''' from ''s''.