Compose melodious music utilizing the prescribed letter representation and integrating the given thematic element.
X:1
L:1/8
M:6/8
K:G
['B2 G', 'BAG AFD']  
X:1
L:1/8
M:6/8
K:G
 D2 | G3 B2 G | c2 A B2 G | GBd cAG | F3 DEF | GAG B2 G | c2 A BAG | ded cAF | G3 G2 :| c | 
 BAG AFD | DED FED | BAG AFD | F3 ABc | BAG AFD | DED FED | (B/c/d)B cAF | G3 G2 :|  