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:G
['G2 BG cABG', 'G3 B cABG', 'fgaf g2 dg egdB |1 cBAc BG']  
X:1
L:1/8
M:2/2
K:G
 G2 BG cABG | ADDE FGAF | G2 BG cABG |1 Addc AGGF :|2 Addc AG G2 |: g2 dg egde | g2 bg agef | 
 g2 dg egdB |1 cBAc BG G2 :|2 cBAc BGGF ||"^\"Variations:\"" G3 B cABG | ADED (3EFG AF | 
 G3 B cABG |1 Addc AGFA :|2 Addc AG (3Bcd |: g2 dg egde | g2 bg fgaf | g2 dg egdB |1 
 cBAc BG (3Bcd :|2 cBAc BGAF ||  