Step variety: Difference between revisions
CompactStar (talk | contribs) These names seem very much temperament-based to me. |
CompactStar (talk | contribs) Ganaram has stated a different definition of temperament-agnostic so my previous edit can be reverted. |
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The term ''n-ary'' disregards the rank of the group generated by the step sizes, although an ''n''-ary scale is still ''generically'' rank-''n'' (the group generated by the ''n'' step sizes X<sub>''i''</sub> > 0, ''i'' = 1, ..., ''n'', has rank ''n'', not lower, for ''almost all'' choices of X<sub>''i''</sub>, in the same sense that almost all real numbers between 0 and 1 are irrational). | The term ''n-ary'' disregards the rank of the group generated by the step sizes, although an ''n''-ary scale is still ''generically'' rank-''n'' (the group generated by the ''n'' step sizes X<sub>''i''</sub> > 0, ''i'' = 1, ..., ''n'', has rank ''n'', not lower, for ''almost all'' choices of X<sub>''i''</sub>, in the same sense that almost all real numbers between 0 and 1 are irrational). | ||
== List of named ternary scales == | == List of named ternary scales == | ||
The following is a list of names that have been given to ternary scales. | The following is a list of (temperament-agnostic) names that have been given to ternary scales. | ||
=== 7 notes === | === 7 notes === | ||
* [[nicetone]] (3L 2M 2S) | * [[nicetone]] (3L 2M 2S) | ||