Active Melody

Brian How a bout a course on chord theory

Kind of a broad question, but I hope some of this helps.  Using C as an example:

Open string C
Half barre C
3 inversions of C
Grand barre C
D-shape of C
Barre chord C (which is the next octave)

As for progression (major, minor, minor, major, major, minor, diminished)

C
Dm
Em
F
G
Am
Bdm