Visualization in dual displays

[MrCabana]

My computer is connected to a 23" LG monitor (DVI) and to a Sony TV (HDMI). The displays are set to be used side by side and the monitor is the default display.

Sometimes I want to use the Visualization window and it works flawlessly on the monitor, but I don't see a way to have it working on the TV. I tried to detach its window and moved it to the TV and double clicked it, but all it does is come back to the monitor to become full screen. How can I have it displayed on the TV?