Compose melodious music utilizing the prescribed letter representation and integrating the given thematic element.
X:1
L:1/8
M:6/8
K:G
['GBd e2', 'GBd GBd']  
X:1
L:1/8
M:6/8
K:G
 G3 EGD | GBd e2 d | gBB BAB | cBc E2 D | GFG E/F/GD | GBd e2 f | gBB BAB | cAF G2 F :| GBd GBd | 
 GBd cAF | GBd eag | fd^c def | g3 f3 | e/f/ge dcB | cBc Adc | BGG G2 F :|  