Compose melodious music utilizing the prescribed letter representation and integrating the given thematic element.
X:1
L:1/16
Q:1/4=80
M:2/4
K:G
['D2 G2>D2 G2B2 d6 Bc d2Bc d2e2', 'G6 Bd g2g2 g2fe f2f2 f2gf e2e2']  
X:1
L:1/16
Q:1/4=80
M:2/4
K:G
 D2 | G2>D2 G2B2 | d6 Bc | d2Bc d2e2 | c2cB A2AB | c2cd e2dc | BcBA G2B2 | A2AG FDEF | G6 :: Bd | 
 g2g2 g2fe | f2f2 f2gf | e2e2 egfe | e2d^c d2>B2 | =c2cB ABcA | B2BA G2B2 | A2AG FDEF | G6 G2 :|  