Develop a musical composition by integrating the alphabetically represented musical pattern and the supplied melodic theme.
X:1
L:1/8
M:2/2
K:Ador
['BGGB (3cBA', 'B cdef gagf edef g z e2-']  
X:1
L:1/8
M:2/2
K:Ador
 A3 c BGGB | (3cBA e2- eefd | eAcA BGGB | (3cBA BG A3 D | E2 Ac BGGB | (3cBA e2- eefd | eAcA BGGB | 
 (3cBA BG A3 B |: cdef gagf | edef g z e2- | edef gf e2- |1 efdf e3 B :|2 efdf e4 ||  