Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
M:6/8
K:Edor
['edB ddd', 'edB ddd', 'e3 AAA B3 ddd e3 g3 aee', 'Ggg fed Bgd']  
X:1
L:1/8
M:6/8
K:Edor
|: edB AAA | Bdd e3 | aee edB | ddd e3 | dee edB | ddd G2 B | Ggg fed | Bgd e3 :: A2 e Aee | 
 egf e3 | aee edB | ddd e3 | dee edB | ddd G2 B | Ggg fed | Bgd e3 :: AAA B3 | ddd e3 | g3 aee | 
 ged e3 | gfg fdd | edB G2 B | Ggg fed | Bgd e3 :: aeg fdd | egf e3 | d2 e dBd | Ggd e3 |1 
 aeg fdd | ede dBB | Ggg fed | Bgd e3 :|2 ddd ede | dBd GBB | Ggg fed | Bgd e3 ||  