Craft a piece of music that integrates both the suggested theme and letter-based structure.
X:1
L:1/8
Q:1/4=100
M:2/4
K:G
['B2 AG FE D2 G2 AB (Bc)(AB)', 'A2 ^GA']  
X:1
L:1/8
Q:1/4=100
M:2/4
K:G
 B2 AG | FE D2 | G2 AB | (Bc)(AB) | c2 BA | (GF).E.D | D2 EF | (A2 G) z :: A2 ^GA | BA^GA | B2 GB | 
 A2 d2 | A2 ^GA | BAcB | AGFE | DF Ac | B2 AG | FE D2 | G2 AB | (Bc)(AB) | c2 BA | (GF).E.D | 
 D2 EF | (A2 G) z :|  