Compose a piece of music that follows both the given musical theme and the letter-based structure provided.
X:1
L:1/16
M:2/4
K:Ador
['', 'c2A2 a2A2', 'a2g2 e2d2 eged']  
X:1
L:1/16
M:2/4
K:Ador
 B |: c2A2 a2A2 | c2d2 eged | c2A2 a2A2 | BAGB d2^cd | c2A2 a2A2 | c2d2 eged | c2d2 edc2 | A4 A4 :: 
 gede a2g2 | e2d2 eged | c2A2 a2A2 | BAGB d2^cd | e2de a2g2 | e2d2 eged | c2d2 edc2 | A4 A4 :|  