Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/4
M:4/4
K:Eb
['E G']  
X:1
L:1/4
M:4/4
K:Eb
 B, | E G B B | B2 G F/E/ | F F F B, | G2 z E | G B e e | e2 c B/A/ | B B d c | B2 z F | B c _d d | 
 _d2 c B | A G F E | G2 F B, | E G B B | e3/2 e/ e E | F G A G | C2 D2 | E2 z E | G E B G | e3 e | 
 e3 E | F G A G | c2 D2 | E2 z |]  