Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/4
M:2/2
K:A
['A2 e2 c3 f e']  
X:1
L:1/4
M:2/2
K:A
|:"A" A2 e2 | c3 f | e c B A |"E7" B G F E |"A" A2 e2 | c3 f | e a"B7" f b |"E" g3 z ::"E7" g2 b2 | 
 e3 f/g/ |"A" a e e/d/ c |"D" f3 e |"Bm" f d d/c/B/A/ |"E7" G B E e"^I" | d c B3/2 A/ |"A" A3 z :|  