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:Dmix
['d2 cA GEED EFGB Ad d2 dcAB', 'cAGE ED']  
X:1
L:1/8
M:4/4
K:Dmix
|: D2 FA d2 cA | GEED EFGB | Ad d2 dcAB | cAGE EDCE | DEFA d2 cA | GEED EFGB | Ad d2 dcAB |1 
 cAGE EDCE :|2 cAGE ED D2 |: aged c2 ed | c3 d eg g2 | aged cded | cAGE EDDged (3efg aged | 
 d^cAB =cAGc | AcGE =FGAB |1 cAGE ED D2 :|2 cAGE EDCE ||33 cAGE ED D2 ||  