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:G
['DEG A2', 'B2 e']  
X:1
L:1/8
M:6/8
K:G
|: DEG A2 G | B2 e dBA | DEG A2 B | AGE GAB | DEG A2 G | B2 e dBA | Bee dBA |1 GEE GAB :|2 
 GEE GBd |: e3 dBA | BGG G2 A | B2 e efg | B2 e edB | e3 dBA | BGG G2 A | Bee dBA |1 GEE GBd :|2 
 GEE GAB ||  