high-ceilinged room, arc lamps may be worth considering. They can be tricky to shop for, however, because a bad design can make it vulnerable to tipping over. When in doubt, go with the floor lamp ...
The official name if you want to search for them online is an ‘arc’, ‘overreached’ or ‘arched’ lamp. But I prefer to think of them as the floor lamp that’s nodded off – like you do ...