Develop a musical composition by integrating the alphabetically represented musical pattern and the supplied melodic theme.
X:1
L:1/8
Q:1/8=160
M:4/4
K:Amin
['AG EGAB cBcA G2 dc BGGD EGAB', 'A2 eg abag edBd g^fge dBGB']  
X:1
L:1/8
Q:1/8=160
M:4/4
K:Amin
 AG | EGAB cBcA | G2 dc BGGD | EGAB cBce | dBgB A2 AG | EGAB cBcA | G2 dc BGGD | EGAB cBce | 
 dBgB A2 :| eg | abag edBd | g^fge dBGB | abag edBe | dBgB A2 eg | abag edBd | g^fge dBGB | 
 AGAB cBce | dBgB A2 :|  