Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
M:3/4
K:E
['BB e2 e2 =dc d3 B AA']  
X:1
L:1/8
M:3/4
K:E
 BB e2 e2 | =dc d3 B | AA A2 B2 | =GF G3 E | B4 ^A2 | B2 e4 | f4 e2 | d2 B4 |]  