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:Emin
['B2 BA FA D2', 'Be ed/e/ fe d2']  
X:1
L:1/8
M:2/4
K:Emin
|: B2 BA | FA D2 | EB BA | Be ed | B2 BA | FA D2 | FD AF | E2 E>A :: Be ed/e/ | fe d2 | Be ed/e/ | 
 fe d2 | Be ed/e/ | fe d2 | AF dF | E2 E>A :|  