Utilizing the provided musical theme and letter-based structure, compose a piece of music.
X:1
L:1/16
M:2/4
K:Amin
['G2c2 e4 z g^fg', 'e2a2 (a2^g2)']  
X:1
L:1/16
M:2/4
K:Amin
 G2c2 e4 | z g^fg agec | (Ad) z2 (df) z2 | edce d2{^f}g2 | G2c2 e4 | z g^fg ag=fe | d2{^g}a2 z4 | 
 z fdB c2 z2 :: e2a2 (a2^g2) | e2b2 (b2a2) | fedf edcB | ABcA B2E2 | e2a2 (a2^g2) | d2f2 (f2e2) | 
 [Ed]2z2z2[Ec]2 | Bcde A2 z2 :|  