Compose melodious music utilizing the prescribed letter representation and integrating the given thematic element.
X:1
L:1/8
M:4/4
K:Edor
['', 'GBEG (3BBB AF GFGA', 'GEFD E3', 'AGFA GEFD']  
X:1
L:1/8
M:4/4
K:Edor
 EF |: GBEG (3BBB AF | GFGA BdAG | FADF ADFA | (3ddd cd BAGF | GBEG (3BBB AF | GFGA B3 c | 
 dedB AGFA |1 GEFD E3 F :|2 GEFD E3 A |: Beed e2 ef | g2 fg edBA | FABc d2 (3ABc | dfaf gfed | 
 Beed e2 ef | g2 fg edBc | dedB AGFA |1 GEFD E3 A :|2 GEFD E3 F |: G2 GF GABc | dBAG FDDA | 
 Be (3eee edef | gefd e2 (3ABc | dcdB AGFA | GEFD EFGA | dedB AGFA | GEFD E2 (3DEF :|  