The reason your strings are ringing are Harmonic sympathy. which is a big way of saying that one strings vibration is causing another to vibrate usually not the same note but one that is in harmony to to the first note. :( And the only I know of to stop it is to mute the harmony string. Guitar Principles practice methods are fantastic. But unless you are playing Classical, Jazz or some blues :) lol
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Jazz, where everything is new. Tricked out and tipped over.