Utilizing the provided musical theme and letter-based structure, compose a piece of music.
X:1
L:1/8
M:2/2
K:A
['A2 Ac B2 Bc A2', 'e2 ef edcd e2', 'AEAc BEGB', 'e^def ecAc e2']  
X:1
L:1/8
M:2/2
K:A
 E | A2 Ac B2 Bc | A2 Ac B2 Bc | A2 ag fedc | B2 e2 c2 AE | A2 Ac B2 Bc | A2 Ac B2 Bc | 
 A2 ag fedc | B2 e2 c2 A || c | e2 ef edcd | e2 a2 e2 cd | e2 ef edcd | e2 ag fedc | d2 fd c2 ec | 
 B2 Bc d2 cB | A2 ag fedc | B2 e2 c2 A || E | AEAc BEGB | AEAc BEGB | A2 ag fedc | B2 ed dcBA | 
 AEAc BEGB | AEAc BEGB | A2 ag fedc | BAGB ABcd || e^def ecAc | e2 af ecAc | e^def ecAc | 
 e2 ag fedc | d2 bd c2 ac | B2 Bc d2 cB | A2 ag fedc | B2 e2 c2 A ||  