Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
M:2/4
K:Bmin
['B>c df', 'da e2 de AB G>A Bd']  
X:1
L:1/8
M:2/4
K:Bmin
|: B>c df | ge fd | B>c df | eA Bc | B>c df | ge fd | g/f/e fd | eA Bc :: da e2 | de AB | G>A Bd | 
 fd e2 da e2 | de AB | G>A Bd |1 fd e2 :|2 fd ed ||  