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

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diatonic scale]], but has [[2/1|octave]]s stretched out to the size of a [[3/1|tritave]]. Other intervals are also stretched in a way that makes the unrecognizable–the diatonic fifth is now the size of a major seventh. Interestingly, [[19edt]], an approximation of [[12edo]], has a tuning of this scale, meaning it contains both a diatonic scale (which approximates 12edo's diatonic scale) and a macrodiatonic scale.

=== Temperament interpretations ===

Although they have not been studied in detail, it is possible to construct no-twos [[rank-2 temperament]] interpretations of this scale, such as the as-of-yet unnamed b12 & b5 temperament in the 3.13.17 [[subgroup]], in which the generator is ~[[17/9]] and a stack of 4 generators tritave-reduced is ~[[13/9]]. See also the page for [[12edt]].

Although they have not been studied in detail, it is possible to construct no-twos [[rank-2 temperament]] interpretations of this scale, such as 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]].

==Modes==

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 diatonic scale]], but has [[2/1|octave]]s stretched out to the size of a [[3/1|tritave]]. Other intervals are also stretched in a way that makes the unrecognizable–the diatonic fifth is now the size of a major seventh. Interestingly, [[19edt]], an approximation of [[12edo]], has a tuning of this scale, meaning it contains both a diatonic scale (which approximates 12edo's diatonic scale) and a macrodiatonic scale.
 === Temperament interpretations ===
-Although they have not been studied in detail, it is possible to construct no-twos [[rank-2 temperament]] interpretations of this scale, such as the as-of-yet unnamed b12 & b5 temperament in the 3.13.17 [[subgroup]], in which the generator is ~[[17/9]] and a stack of 4 generators tritave-reduced is ~[[13/9]]. See also the page for [[12edt]].
+Although they have not been studied in detail, it is possible to construct no-twos [[rank-2 temperament]] interpretations of this scale, such as 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]].
 ==Modes==