Translated scale

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)