Compose a piece of music by integrating the assigned letter representation and provided tune.
X:1
L:1/8
M:2/2
K:Dmin
['[AD]ag=b a4 ageg f3 e f2 ag', 'd^c d2']  
X:1
L:1/8
M:2/2
K:Dmin
|:"^A" [AD]ag=b a4 | ageg f3 e | f2 ag e2 ef | dfed ^c2 A2 | [AD]ag=b a4 | ageg f3 e | 
 f2 ag e2 ef | dfe^c d3 A ::"^B" [AD]2 d^c d2 (e2 | e2) fe f2 e^c | A2 d^c d2 eg | fed^c d2 AF | 
 [AD]2 d^c d2 (e2 | e2) fe f2 e^c | A2 d^c d2 eg | fed^c d4 :|  