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:Ddor
['A>^cde f2 f2', 'F>A G<A F>A']  
X:1
L:1/8
M:4/4
K:Ddor
 A>^cde f2 f2 | f>ee^c A4 | A>_BAG F>EDF | A2 G<B A4 | A>^cde f2 f2 | f>ee^g a4 | a>geg f>edf | 
 e2 ^c2 d4 :: f>efg f>e d2 | d>efd e2 A2 | F>A G<A F>A G<A | F>A G<B A4 | A^cde f2 f2 | f>ee^g a4 | 
 a>geg f>edf | e2 ^c2 d4 :|  