Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
Q:1/8=160
M:6/8
K:Emin
['EFE B2 G FdF', 'BAG e2']  
X:1
L:1/8
Q:1/8=160
M:6/8
K:Emin
 EFE B2 G | FdF A2 F | EFE B2 G | FdF AF^D | EFE B2 G | FdF A2 e | f2 e edB | d2 B AFE :| 
 BAG e2 A | BAG d2 B | BAG e2 B | e2 B AF^D | E>FE e2 A | B2 ^c d2 e | f2 e edB | d2 B AFE :|  