How about 'dismembered' for completely lacking a move in a certain direction?
No, that's a bit too graphic and emotionally loaded. I'm looking for something more neutral. Some terms I'm considering include fraction, fragment, moiety, segment, subcomponent, and subdivision. Perhaps subcomponent would be best. It is the most closely related to the word compound. A compound piece has its components, and a component could be split up into subcomponents.
No, that's a bit too graphic and emotionally loaded. I'm looking for something more neutral. Some terms I'm considering include fraction, fragment, moiety, segment, subcomponent, and subdivision. Perhaps subcomponent would be best. It is the most closely related to the word compound. A compound piece has its components, and a component could be split up into subcomponents.