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width height formula
original resolution px px
new resolution px px
ratio 6 4.821428571428571 new / original
integer ratio 6 4 floor(ratio)
integer scale factor 4 min(width int. ratio, height int. ratio)
remainder 2 0.8214285714285712 ratio - int. scale factor
screen area used 67% 83%

2017 David DiPaola. licensed under CC0 (public domain)