Compose a piece of music by integrating the assigned letter representation and provided tune.
X:1
L:1/8
Q:1/2=108
M:2/2
K:A
['A2 BAGF', 'A2 A2']  
X:1
L:1/8
Q:1/2=108
M:2/2
K:A
"^A" cB | AGAE C2 A2 | BAGF E2 d2 | cdec A2 A2 | BAGF EdcB | AGAE C2 A2 | BAGF E2 d2 | cdec fdBG | 
 A2 A2 A2 ||"^B" c2 | dfec A2 e2 | abaf d2 cd | efec A2 A2 | BAGF EdcB | AGAF E2 A2 | BAGF E2 d2 | 
 cdec fdBG | A2 A2 A2 ||  