Compose a piece of music that follows the specified structure and incorporates the given theme.
X:1
L:1/8
M:4/4
K:Amin
['e3 d c3 d efed c2 A2', 'e3 f ^g3'  
X:1
L:1/8
M:4/4
K:Amin
|: e3 d c3 d | efed c2 A2 | GABG ABcA | d3 c BAGE | e3 d c3 d | efed c2 A2 | GABG AGED | EGAB A4 |: 
 e3 f ^g3 f | ef^ed c2 A2 | BcdB c2 de | fg f^e d2 |1 e3 f ^g3 f | ef^ed c2 A2 | GABG AGED | 
 EGAB A4 :|2 e3 f ^g3 a | bc'ba g2 e2 | d3 c (3BAG ED | EGAB A4 ||  