Ah, Right, I think I understand a bit better now - It's a bit confusing for me cos i have like, no official schooling in music theory, What i know i've picked up from playing the guitar. I thought the lowest note the right hand played had to be the root note, But that obviously isn't the case from your post above, So long as the left hand is playing the rootnote (right?)
I had another question, while farting about i found that if i'm playing say, G (g,b,d as separate notes) and i move my hand to g,c,e, It sounds quite nice: Is this a variation of G or is it a completely different chord? (eg: C) Does it depend on what i'm playing with my right hand?
hehe... ok. this is the thing... What you're describing is called chord variations. You took C as an example so i will too.
Notes in a full C chord are: C, E, G, and the upper C (C-E-G-C)
If you play them in any order (C-E-G / E-G-C / G-C-E) it is alway a C chord, BUT left hand keys make big difference while playing the piano. There's this thing called phatt or fat chords where you play the same thing on your right hand but you do...erm... a form of chord variations in your left hand. That way you make the chords spread around and sound bigger, and warmer.
For example... Try playing C-major then a-minor in this way:
Left hand: C-octave /
Right hand: G-C-E
Left hand: A-octave /
Right hand: A-C-E
That's a full C, and a full a-minor chord.
Now do the same thing but leave the right hand the way it was, and
play a chord variation in your left hand so you have something like this:
Left hand: C-octave /
Right hand: G-C-E
Left hand: A-E /
Right hand: G-C-E
The second chord is made out of A-E (A 5th) in the bass, and a C chord on the higher octave. Compare the two chords, and you'll see how much warmer and wider it sounds
If you want, I'll do a few recordings today afternoon to make it even more obvious for you.