Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/16
M:2/4
K:Bb
['BFdB fdbf dBAc BAGF GEDE CEcd', 'B2 vFE DB,FD BFdB fbfd BAGF GBAc']  
X:1
L:1/16
M:2/4
K:Bb
 uF2 | BFdB fdbf | dBAc BAGF | GEDE CEcd | ecdB BAGF | BFdB fdbf | dBAc BAGF | GEDE CEcd | 
 ecAc B2 :: vFE | DB,FD BFdB | fbfd BAGF | GBAc Bdfa | bgf=e .f2(3(fga) | bfdB gecA | BGec BAGF | 
 GEDE CEcd | ecAc B2 :|  