Step variety: Difference between revisions
Use-mention distinction. |
No edit summary |
||
| Line 1: | Line 1: | ||
An ''n'''''-ary scale''' is a scale with exactly ''n'' distinct step sizes. '''Unary''', '''binary''' and '''ternary''' scales are scales with exactly 1, 2 and 3 step sizes, respectively. | An ''n'''''-ary scale''' is a scale with exactly ''n'' distinct step sizes; a scale's '''arity''' is the number of distinct step sizes it has. '''Unary''', '''binary''' and '''ternary''' scales are scales with exactly 1, 2 and 3 step sizes, respectively. | ||
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 less well-understood than binary ones, but one well-studied type of ternary scales is the class of [[generator-offset]] scales. Most known facts about ternary scales on the wiki can be found on the page [[rank-3 scale]]. | 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 less well-understood than binary ones, but one well-studied type of ternary scales is the class of [[generator-offset]] scales. Most known facts about ternary scales on the wiki can be found on the page [[rank-3 scale]]. | ||