I used to mute with the right hand, I suppose that's a very common method...I think I may still do it in certain type playing, especially when doing really fast/metal rhythm picking.
BUT of late I've noticed I do pretty much all my muting with the left hand, it pretty much always rests on the strings and governs which strings sound or not.
Meaning, even when I'm soloing, I tend to have the hand almost like doing a chord, and muting the unnecessary strings just like when chording. Also makes it much easier to transfer from, say, a bend to the next note because the hand is already doing the chord it works over.
It's not necessarily THE chord the song is in, but nevertheless it seems, when I really try to analyze how I play (I normally never look at what I do really, I don't look at my hand or fretboard much), it seems the hand rather automatically creeps onto or looks for chord forms for the note and/or the next one, while one or two fingers are playing a note, if that makes any sense.
Dee
"When life's a biatch, be a horny dog"
Amps: Marshall JVM 410H w/ Plexi Cap mod, Choke Mod & Negative Feedback Removal mod, 4x12", Behringer GMX110, Amplitube 3/StealthPedal
Half a dozen custom built/bastardized guitars all with EMG's, mostly 85's, Ibanez Artwood acoustic & Yamaha SGR bass, Epiphone Prophecy SG, Vox Wah, Pitchblack tuner plus assorted pedals, rack gear etc. for home studio use.