Compose melodious music utilizing the prescribed letter representation and integrating the given thematic element.
X:1
L:1/8
M:6/8
K:G
['GED DED Adc B2 A', 'BGG dGG']  
X:1
L:1/8
M:6/8
K:G
 (A/B/) | GED DED | Adc B2 A | GEE EGE | GEE E2 A | GED DED | Adc B2 A | BGG G2 A | BGG G2 :: A | 
 BGG dGG | BGG dGG | AFF cFF | AFA c2 A |1 BGG dGG | BGG dGG | Bdc B2 A | BGG G2 :|2 BGG dGG | 
 gfedBG | (B<d)c B2 A | BGG G2 |]  