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 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]]). 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). | ||
== See also == | == See also == | ||
* [[Stretched tuning]] | * [[Stretched tuning]] | ||
* [[Macrodiatonic and microdiatonic | * [[Macrodiatonic and microdiatonic scales]], 5L 2s scales with a nonoctave period (translated diatonic scales are a subcategory of these) | ||
[[Category:Scale]] | [[Category:Scale]] | ||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||
[[Category:Nonoctave]] | [[Category:Nonoctave]] | ||
Latest revision as of 05:18, 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 EDO 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)