Compose melodious music utilizing the prescribed letter representation and integrating the given thematic element.
X:1
L:1/8
M:6/8
K:G
['dge dBG AEF GDB, G,B,D', 'Bdg bag']  
X:1
L:1/8
M:6/8
K:G
 B/c/ | dge dBG | AEF GDB, | G,B,D GBd | cBc ABc | dge dBG | AEF GDB, | G,B,D GAc | BGG G2 :: 
 d/c/ | Bdg bag | fed cAF | DGG FAA | GBB ABc | Bdg bag | gfe dBG | cec BAG | AEF G2 :|  