5L 2s (3/1-equivalent): Difference between revisions

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=== Temperament interpretations ===

It is possible to construct no-twos [[rank-2 temperament]] interpretations of this scale, but it is difficult to interpret within ~~the simpler~~ [[no-twos subgroup]]s like the 3.5.7 [[subgroup]] used for [[Bohlen-Pierce]]. ~~One example is~~ in the as-of-yet unnamed b12 & b5 temperament in the 3.13.17 [[subgroup]], in which the generator (the stretched counterpart of the fifth) is ~[[17/9]] and a stack of 4 generators tritave-reduced (~~the stretched counterpart of~~ the major third) is ~[[13/9]]. See also the page for [[12edt]].

It is possible to construct no-twos [[rank-2 temperament]] interpretations of this scale, but it is difficult to interpret within commonly-studied [[no-twos subgroup]]s like the 3.5.7 [[subgroup]] used for [[Bohlen-Pierce]]. Scales close to basic have an interpretation in the as-of-yet unnamed b12 & b5 temperament in the 3.13.17 [[subgroup]], in which the generator (the stretched counterpart of the fifth) is ~[[17/9]] and a stack of 4 generators tritave-reduced (equivalent to the major third) is ~[[13/9]]. See also the page for [[12edt]]. Harder scales can be interpreted in [[Mintaka]] temperament in the 3.7.11 subgroup, which tempers out [[1331/1323]] so that the generator (the stretched counterpart of the fourth) is ~[[11/7]], a stack of 2 generators (equivalent to the minor seventh) is ~[[27/11]], and a stack of three generators (equivalent to the minor third) is ~[[9/7]].

==Modes==

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 === Temperament interpretations ===
-It is possible to construct no-twos [[rank-2 temperament]] interpretations of this scale, but it is difficult to interpret within the simpler [[no-twos subgroup]]s like the 3.5.7 [[subgroup]] used for [[Bohlen-Pierce]]. One example is in the as-of-yet unnamed b12 & b5 temperament in the 3.13.17 [[subgroup]], in which the generator (the stretched counterpart of the fifth) is ~[[17/9]] and a stack of 4 generators tritave-reduced (the stretched counterpart of the major third) is ~[[13/9]]. See also the page for [[12edt]].
+It is possible to construct no-twos [[rank-2 temperament]] interpretations of this scale, but it is difficult to interpret within commonly-studied [[no-twos subgroup]]s like the 3.5.7 [[subgroup]] used for [[Bohlen-Pierce]]. Scales close to basic have an interpretation in the as-of-yet unnamed b12 & b5 temperament in the 3.13.17 [[subgroup]], in which the generator (the stretched counterpart of the fifth) is ~[[17/9]] and a stack of 4 generators tritave-reduced (equivalent to the major third) is ~[[13/9]]. See also the page for [[12edt]]. Harder scales can be interpreted in [[Mintaka]] temperament in the 3.7.11 subgroup, which tempers out [[1331/1323]] so that the generator (the stretched counterpart of the fourth) is ~[[11/7]], a stack of 2 generators (equivalent to the minor seventh) is ~[[27/11]], and a stack of three generators (equivalent to the minor third) is ~[[9/7]].
 ==Modes==