Aspect ratio = the ratio of the width of your resolution to the height of your resolution. 1680 divided by 1050 = 1.6 aspect ratio.
UI scale is just the scale of everything in your UI (your bars, character frame, the auction house, etc). Think of it this way: you have a mod that allows you to adjust the scale of the frame it creates. You can make it 25% bigger or 25% smaller if you want. Nothing changes except the scale of the window and its contents.
The UI scale option is the same thing. Nothing changes except the scale/size of things on your screen.
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"You'd be surprised how many people violate this simple principle every day of their lives and try to fit square pegs into round holes, ignoring the clear reality that Things Are As They Are." -Benjamin Hoff, The Tao of Pooh
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