Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
M:4/4
K:Dmix
['', 'B A<D F>D A>D F>A G<C E>C', '(3ABc d>f a>d f>d']  
X:1
L:1/8
M:4/4
K:Dmix
 B |: A<D F>D A>D F>A | G<C E>C G,>C E>C | A,>D D>E D>E F>A | (3def (3efg f<d d>B :| 
 (3ABc d>f a>d f>d | c2 e>c g>c e>c |1 (3ABc d>f a>d f>d | (3def (3efg f<d d>B :|2 
 (3def (3efg (3fga (3gab | (3agf (3efg f<d d>B ||  