Compose melodious music utilizing the prescribed letter representation and integrating the given thematic element.
X:1
L:1/8
M:6/8
K:Amin
['', 'cBA eBd', 'cAA A2']  
X:1
L:1/8
M:6/8
K:Amin
 A/B/ |: cBA eBd | cAA A2 B | cBc efg | dBG GAB | cBA eBd | cea e2 d | cBA ^GAB | cAA A2 :| e | 
 aga e=fd | cAA A2 B | cBc efg | dBG G2 e | aga e=fd | cBA e2 d | cBA ^GAB | cAA A2 e | aga e=fd | 
 cAA A2 B | cBc e^fg | dBG G2 e | aeg fdf | ece dBd | cBA ^GAB | cAA A2 e ||  