Step variety: Difference between revisions
Created page with "An ''n'''-ary scale''''' is a scale with exactly ''n'' distinct step sizes. The terms '''''unary''''', '''''binary''''' and '''''ternary''''' are used for ''n'' = 1, 2 and 3...." |
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An ''n'''-ary scale''''' is a scale with exactly ''n'' distinct step sizes. The terms '''''unary''''', '''''binary''''' and '''''ternary''''' are used for ''n'' = 1, 2 and 3. | An ''n'''-ary scale''''' is a scale with exactly ''n'' distinct step sizes. The terms '''''unary''''', '''''binary''''' and '''''ternary''''' are used for ''n'' = 1, 2 and 3. | ||
A unary scale is an [[equal tuning]]. The class of binary scales consists of all [[MOS]] scales and every alteration-by-permutation of a MOS scale. Ternary scales are much more subtle, but one well-studied type of ternary scales is the class of [[generator-offset]] scales. | |||
== Difference from scale rank == | == Difference from scale rank == | ||
To respect the subtlety of the notion of a scale's [[rank]], certain abstract scale theorists in the xen community have taken to using this ''n-ary'' terminology. Examples of this subtlety are: | To respect the subtlety of the notion of a scale's [[rank]], certain abstract scale theorists in the xen community have taken to using this ''n-ary'' terminology. Examples of this subtlety are: | ||