Compose melodious music utilizing the prescribed letter representation and integrating the given thematic element.
X:1
L:1/8
M:4/4
K:Edor
['E3 F', 'Be e2']  
X:1
L:1/8
M:4/4
K:Edor
|: E3 F GFGA | Be e2 Be e2 | E3 F GABG | A2 BA GEED | E3 F GFGA | Beed e3 f | (3gfe fd edBG | 
 A2 BA GE E2 :: gfeg fede | Be e2 Be e2 | gfeg fedB | A2 BA GEE f | g2 eg fede | Beed e3 f | 
 (3gfe fd edBG | A2 BA GE E2 :|  