There is also a visual application for the f/ratio.
Fast scopes are considered better for seeing 'faint fuzzies' like galaxies, and other 'extended objects', that is faint objects that have a large surface area.
Slow scopes tend to provide better planetary images by innately reducing their glare.
Fast scopes can be made 'slower' by placing a mask over the mirror or objective, there by increasing the f/ratio.
Some slow scopes can be made a little faster by employing specialized lenses called focal reducer, however these tend to be used with astrophotography. These focal reducers are mainly used with Schmidt-Cassegrains.
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