Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/16
M:5/16
K:Amin
['e z e2d', 'AB c2c', 'a z']  
X:1
L:1/16
M:5/16
K:Amin
|: A z e2e | e z e2d | e z e2d | dc d2 z | A z d2d |1 d z d2c | e z e2d | c z c2B :|2 d z g3 | 
 gf e2d | c z c2B |: AB c2c | cB B2G | AB c2c | cB B2 z | AB c2c | dc B2G | dc B2G | A z A3 :: 
[K:Aphr] c2 BAG | AB cde | dc BAG |1,3 A z c3 :|2,4 A z A3 ::[K:Amin] a z g2^f | e z e2d |1,3 
 ^gg a2d | a z d'3 :|2,4 ^gg g2d | a z a3 :|  