Design a musical composition incorporating the alphabetic expression of the chosen structure and the provided melodic theme.
X:1
L:1/8
M:4/4
K:G
['dedB AGAB', 'DGBG DGBG']  
X:1
L:1/8
M:4/4
K:G
 BDGB dedB | AGAB AGEG | BDGB dedB | AGAB ABBA | GDGB dedB | AGAB AGEG | g2 fg edBG |1 
 DGBF G3 A :|2 DGBF G3 E || DGBG DGBG | DGBG AGBG | DGBG DGBG | BE E2 BE E2 | DGBG DGBG | 
 DGBG AGBd | g2 fg edBG |1 DGBF G3 E :|2 DGBF G3 A ||  