Develop a musical composition by integrating the alphabetically represented musical pattern and the supplied melodic theme.
X:1
L:1/8
M:2/4
K:F
['cccd c2']  
X:1
L:1/8
M:2/4
K:F
 cccd | c2 AF | cccd | c2 A2 | cAcA | f2 z d | cABG | F2 z2 |]  