Craft a piece of music that integrates both the suggested theme and letter-based structure.
X:1
L:1/8
M:2/4
K:G
['g.e.d G/A/', 'Bd A>c', 'G2 ged.G .B.A B.d ge.d.G BA']  
X:1
L:1/8
M:2/4
K:G
 g.e.d G/A/ | .B.A .B.d | g.e.d G/A/ | BA G2 :: Bd A>c | (B/d/c/A/) BG | Bd A>c | (B/d/c/A/) G2 :: 
 ged.G | .B.A B.d | ge.d.G | BA G2 :|  