Develop a musical composition by integrating the alphabetically represented musical pattern and the supplied melodic theme.
X:1
L:1/8
M:3/4
K:Amin
['E^G A2 EG AB c2 BA .B2', 'e2 ce ce ed Bd Bd dB']  
X:1
L:1/8
M:3/4
K:Amin
 E^G A2 EG | AB c2 BA | .B2 B2- BB | cd e2 cB | Ac B2 ^GB | .A2 A4 :: e2 ce ce | ed Bd Bd | 
 dB cd ed | cB (3A^GA B2 | e2 ce ce | ed Bd Bd | dB cd ed | Bc A4 :|  