The screens mentioned with :D.S are associated with an obsolete style of multi-screen X11 displays, in which each application was "trapped" on the screen it was started on, unless it had special facilities to switch from one screen to another.
Think about an early professional CAD workstation with CRT displays: it might have had one "main" display with a very limited number of colors but high refresh rate (to minimize eyestrain) for working with the design, and another display with a lower refresh rate but better color capabilities, dedicated to viewing the resulting design rendered in full color.
Today, the standard approach is to join all the physical screens into one large unified display surface, so that you can move windows freely between the screens. As a result, the screen number in the :D.S pair is practically always 0. To manage these kinds of setups, a new X11 protocol extension, X Rotate and Resize, or XRandR for short, was developed.
There is another extension called XINERAMA for reporting this multi-display layout to applications, so that they can, for example, display a dialog box in the middle of a physical screen and not half in one physical screen and half in another in a two-screen configuration.
When your DISPLAY environment variable is set to e.g. :0.0 and the XRandR extension is available, then xrandr will connect to that X11 display and can drill down into the physical display configuration underlying X11 "display 0, screen 0".