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:Amix
['ed c2', 'AB cd']  
X:1
L:1/8
M:4/4
K:Amix
 ed | c2 A2 AB cA | dB BA B2 ed | c2 A2 AB cA | BG GF G2 ed | c2 A2 AB cA | dB BA B2 ed | 
 c2 e2 dB GB |1 A4 A2 :|2 A6 z2 || AB cd e3 f | g2 gd e2 e2 | AB cd e2 e2 | de dB G4 | AB cd e3 f | 
 g2 gd e3 e | d2 e2 dB GB | A6 z2 :|  