Translated scale: Difference between revisions
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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. | 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 EOD 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]]). 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). | 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). | ||
Revision as of 01:47, 7 March 2024
A translated scale is a scale with scale steps taken from one edo and mapped to another edo. For instance, taking 19edo's 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 EOD is expanded/contracted to the step size of the target EDO.
Translated scales were independently discovered by both Carmen14edo and 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)