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Since we are talking about Home Cinema on this forum, let's say the maximum height you can achieve is 8' (2.45m), resulting in a maximum screen width of 19' (5.80m) . Your minimum viewing distance lies around 16' (4.9m).
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Yes, 2x the image height is the closest you want to be regardless of screen size with 3x being preferred...
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So if you have a room of measuring 20'x20' (6mx6m) or more, why stick to a procliamed ideal 9', and not go for 19' wide?
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Because 12 feet wide is about the largest you can have in a 20 foot deep room.
Formula is -
20 / 3.68 x 2.37 = 12.88
Mark