Develop a musical composition by integrating the alphabetically represented musical pattern and the supplied melodic theme.
X:1
L:1/8
M:4/4
K:Amin
['E^GBE- EGBd', 'cdBc a^gae- edcA defa ^gfec Acae- edcA']  
X:1
L:1/8
M:4/4
K:Amin
|: E^GBE- EGBd | cBAB cA^GB | E^GBE- EGBd | cBAc B2 B2 | E^GBE- EGBd | cBAc BA^GE | DEF^G- GFEF |1 
 EDB,C A,2 A,2 :|2 ^GABc A2 A2 |: a^gae- edcA | dfed cdBc | a^gae- edcA | defa ^gfec | Acae- edcA | 
 dfed cdBc | DEF^G- GFEF | ^GABc A2 A2 :|  