I have a very basic Ibanez (don't laugh) GRX 55B electric guitar and a much, MUCH more basic Laney LX-10 Amp. If I pick, say, the high E string and then mute it, I can still hear faint ringing of the other strings. Only when I mute them all does it go away. I think it is the other strings resonating along or something, and I am concerned because it is EXTREMELY ANNOYING. It makes my playing sound muddy AS HELL. On clean it sounds perfectly fine, but the problem comes when in overdrive. It gets a bit better if I turn the guitar's volume knob down (not the amp's knob), but that also affects the tone (The tone is better when volume knob is at full).
Possible fixes I have thought of are strap on string muters (which have mixed reviews), or to keep the volume knob low and get a better tone by effect processors or something.
This is a very annoying and disturbing problem and I HAVE to fix it somehow. If anyone has any suggestions, I'm all ears.
(I'll try to link sound recordings of the problem ASAP)