So another way to put it is it's the order in which the notes in a chord stack up: standard being (1,3,5),from bottom note to top note, with some other inversions being
(3,1,5)
(5,1,3)
(1,5,3)
(3,5,1)etc...
what you are doing to the sound of the chord is changing the intervals between the notes in the chord, or it's voicing: in a standard voicing of a major triad your two intervals would be (M3,m3), but with the sample inversions above you would have
(m6,P5)
(P4,M3)
(P5,m6)
(m3,P4)respectively