I just purchased the BSA sweet .22 from Sportsmans Guide and bought the Leapers 1" .22 rings as well. Not sure exactly how high they are, but I needed another 1/2" or medium riser block. So I would say that you need at least 3/4" or 1" rings - in other words "high" rings. Haven't sighted in it yet but it feels right and has very close cowitness with my Primary Arms M4 red dot so it should be the right height
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