Compose melodious music utilizing the prescribed letter representation and integrating the given thematic element.
X:1
L:1/16
M:2/4
K:C
['e4 cGAc', 'BdcA GBAc BcdB cBcd e2g2 g^fg^g a=g=fd']  
X:1
L:1/16
M:2/4
K:C
 e4 cGAc | GEGc e4 | z fed gedc | ed2^c dB=cd | e4 cGAc | GEFG Ad2c | Bagf egfd |1 c2c2c2 z2 :|2 
 c2c2 cGce |: g^fg^g a=g=fd | cBce BdcA | GBAc BcdB | cBcd e2g2 | g^fg^g a=g=fd | cBce Acfa | 
 gage fedc |1 BGAB c2e2 :|2 BGAB c2[Ec]2 ||  