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Magnification

Half a mile is only 800 meters or a bit more.

If you are shooting ground hogs at that distance you would be wanting something in the 15x to 20x power range with 12x being a minimum. Larger game and you could probably take it down to 6x for really big game and 8x for your garden variety deer, elk, sheep...

What is the application?
 
"c_m_shooter"The old standard for big game was 1x for every hundred yards. 6x is plenty.
How "old" of a standard is that? Every time I've gone by what someone else thinks is enough, I've come to want twice that.

And if 12x is all I thought I'd need, I'd buy a 6x24 and use the 12x setting on it before using the max 12x of a 4x12, just for the better eye relief alone. And then if I every did need or want more mag, it's there.