New Scale Not sure what you mean new scale based on a piece. Theorists think that scales evolved largely because of the physics of the instruments making them, or to fix some existing tuning problem, or in some cases for a particular musical purpose (eg: whole-tone scales for impressionist music, underwater scenes, dream sequences, etc.). Composers often decide to write a piece in a particular scale. Again, I'm not sure what devising a scale based on a piece. Maybe you're talking about a "Pitch Class" or "Pitch Set" That's got some good history and application in composition.