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:Emin
['BGE EFA BAB', 'edB def']  
X:1
L:1/8
M:6/8
K:Emin
 d/c/ | BGE EFA | BAB d2 B | AFD DFA | DFA dfd | BGE EFA | BAB def | edB AdF | FEE E2 :: (3c/d/e/ | 
 efe edB | def g2 e | ded dcB | def gbg | e/f/ge edB | def gfg | edB AdF | FEE E2 :|  