What type of compression ratio are you discussing and how is it lower or higher depending on the temperature of the gas?
If you fill a cylinder with a gas, close an intake valve, compress it, and release the gas through the exhaust valve and close it again, the displacement when the chamber is at top dead center and at bottom dead center will be different in each position but doesn't change in relation to how much gas(air not gasoline) was allowed to enter in relation to a throttle plate blocking intake or back pressure against the exhaust. The ratio of non-compressed and fully compressed displacement determines the compression ratio of a cylinder when you are talking about engines.
Everything else makes sense to me but does compression ratio mean something different with compressors?
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