I implanted support of Parallax View, so you can see how it (almost) would look like in-game, just like in real JCS. It has some bugs with layer tiling outside the level (left and top sides), but I guess you don't use that area much anyways 
Works best in Google Chrome!
Here, have a clickable screenshot:

You can "disable" parallax scrolling by minimize it's window, and you will see it gets blank. The bigger the view is, the slower it goes
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