Design a musical composition incorporating the alphabetic expression of the chosen structure and the provided melodic theme.
X:1
L:1/8
M:6/8
K:Emin
['G2 A B2 A G2', 'e2 B']  
X:1
L:1/8
M:6/8
K:Emin
 E | G2 A B2 A | G2 E E2 G | F2 A AdA | F2 D DEF | G2 A B2 A | G2 B AB^c | d2 D DED | F2 E E2 :: 
 ^d | e2 B BcB | e2 B g2 e | d2 A ABA | d2 A f2 ^d | e2 B BcB | e2 B g2 e | d2 D DED | F2 E E2 :|  