Floating Vinyl floors in a guitar/mix room ?

Is the subfloor a concrete slab (likely)? Do you had moisture issues in the room?

FYI... "floating" a floor is an installation method. You can float wood, laminate, and vinyl. You really won't gain any acoustical advantage with the vinyl. If you want to limit reflections in the room, put in carpet with glue down pad.
 
I wouldn't really call that floating, in order to get it to really float you need a spacer between the floors so that you have a certain amount of "sway" to absorb the vibrations.
Because as i understand it, you're essentially going to cut of a piece of linoleum and put it and the floor?