Develop a musical composition using both the specified melodic theme and the alphabetical pattern naming.
X:1
L:1/8
M:2/2
K:G
['G2 dG BGdG G2 dc BAGB', 'aged ^cdef', 'aged ^cdef']  
X:1
L:1/8
M:2/2
K:G
 G2 dG BGdG | G2 dc BAGB | A2 eA cAeA | A2 ed cAFA | G2 dG BGdG | G2 dc BAGB | ABcd efge |1 
 aged cAFA :|2 aged ^cdef |: g3 f g2 ef | gedc BA G2 | eaag agea | aged ^cdef | g3 f g2 ef | 
 gedc BAGB | ABcd efge |1 aged ^cdef :|2 aged cAFA |:"^variations:" G2 BG dGBA | G2 dG BAGB | 
 A2 cA eAcA | A2 ed cAFA | G2 BG dGBA | G2 dc BAGB | ABcd efge |1 aged cAFA :|2 aged ^cdef |: 
 g2 af g2 ef | gedc BAGB | Aaag ageg | aged ^cdef | gbaf g2 ef | gedc BAGB | ABcd efge |1 
 aged ^cdef :|2 aged cAFA ||  