Translated scale: Difference between revisions

(4 intermediate revisions by one other user not shown)

Line 1:

A '''translated scale''' is a scale with scale steps taken from one [[edo]] and mapped to another edo. For instance, taking 19edo's [[5L 2s|diatonic scale]] steps and mapping them to 12edo gives you a very fascinating scale containing a lot of quartal harmony.

A '''translated scale''' is a scale with scale steps taken from one [[edo]] and mapped to another edo. For instance, taking 19edo's [[5L 2s|diatonic scale]] steps and mapping them to 12edo gives you a very fascinating scale containing a lot of quartal harmony. This is a special case of [[stretched tuning]] / compressed tuning where the step size of the source EDO is expanded/contracted to the step size of the target EDO.

Translated scales were independently discovered by both Carmen14edo and [[User:Xenoindex|Xenoindex]], and Xenoindex instead refers to them as a "virtual [[equivalency interval]]" (for example, 19\12 is a virtual equivalency interval of 12edo roughly equal to a [[tritave]]).

Translated scales were independently discovered by both Carmen14edo and [[User:Xenoindex|Xenoindex]], and Xenoindex instead refers to them as a "virtual [[equivalency interval]]" (for example, 19\12 is a virtual equivalency interval of 12edo roughly equal to a [[tritave]]). These scales can be [[nonoctave]] depending on the source scale (for example a scale in 19edo which does not contain 12\19 will have no octaves when translated to 12edo).

== See also ==

* [[Stretched tuning]]

* [[Macrodiatonic and microdiatonic scales]], 5L 2s scales with a nonoctave period (translated diatonic scales are a subcategory of these)

[[Category:Scale]]

[[Category:Equal divisions of the octave]]

[[Category:Nonoctave]]

@@ Line 1: / Line 1: @@
-A '''translated scale''' is a scale with scale steps taken from one [[edo]] and mapped to another edo. For instance, taking 19edo's [[5L 2s|diatonic scale]] steps and mapping them to 12edo gives you a very fascinating scale containing a lot of quartal harmony.
+A '''translated scale''' is a scale with scale steps taken from one [[edo]] and mapped to another edo. For instance, taking 19edo's [[5L 2s|diatonic scale]] steps and mapping them to 12edo gives you a very fascinating scale containing a lot of quartal harmony. This is a special case of [[stretched tuning]] / compressed tuning where the step size of the source EDO is expanded/contracted to the step size of the target EDO.
-Translated scales were independently discovered by both Carmen14edo and [[User:Xenoindex|Xenoindex]], and Xenoindex instead refers to them as a "virtual [[equivalency interval]]" (for example, 19\12 is a virtual equivalency interval of 12edo roughly equal to a [[tritave]]).
+Translated scales were independently discovered by both Carmen14edo and [[User:Xenoindex|Xenoindex]], and Xenoindex instead refers to them as a "virtual [[equivalency interval]]" (for example, 19\12 is a virtual equivalency interval of 12edo roughly equal to a [[tritave]]). These scales can be [[nonoctave]] depending on the source scale (for example a scale in 19edo which does not contain 12\19 will have no octaves when translated to 12edo).
+== See also ==
+* [[Stretched tuning]]
+* [[Macrodiatonic and microdiatonic scales]], 5L 2s scales with a nonoctave period (translated diatonic scales are a subcategory of these)
 [[Category:Scale]]
 [[Category:Equal divisions of the octave]]
+[[Category:Nonoctave]]