Compose a piece of music that follows both the given musical theme and the letter-based structure provided.
X:1
L:1/8
M:2/2
K:Ador
['AG EAAB cBcA d^cde f2 (3def gfe^c', 'A2 fg a2 af g2 ge (3fga', 'EAAB c2 Bc Adde f2 ef gfe^c', 'ef gfe^c']  
X:1
L:1/8
M:2/2
K:Ador
 AG | EAAB cBcA | d^cde f2 (3def | gfe^c dfe^c | d^cAF G2 AG | EAAB cBcA | d^cde f2 (3def | 
 gfe^c dfe^c | A2 AG A2 :: fg | a2 af g2 ge | (3fga fd e2 ed | ^cdef gfge | d^cAF G2 AG | 
 EAAB cBcA | d^cde f2 (3def | gfe^c dfe^c | A2 AG A2 ::"^variations" AG | EAAB c2 Bc | Adde f2 ef | 
 gfe^c dfe^c | d^cAF G2 FG | EAAB c2 Bc | Adde f2 ef | gfe^c ded^c | A2 (3GAB A2 :: fg | 
 a2 af g2 ge | fgfd e2 ef | gfe^c dfe^c | d^cAF G2 FG | EAAB c2 Bc | Adde f2 ef | gfe^c ded^c | 
 A2 (3GAB A2 :|  