Craft a piece of music that integrates both the suggested theme and letter-based structure.
X:1
L:1/8
M:6/8
K:G
['DEF G2 A BAG', 'd2 e', 'ece d^cd =cAc BGB AFD B2 B']  
X:1
L:1/8
M:6/8
K:G
|: E | DEF G2 A | BAG ABc | dge ded | ded cAF | DEF G2 A | BAG AA/B/c | d^cd =cAF | AGF G2 :: 
 F/G/ | AF/G/A d2 e | faf gfe | d2 f e^cA | GE/F/G AFD | AFA d2 e | f2 f ge/f/g | a2 a ge^c |1 
 ed^c d2 :|2 ed^c dc=c |: B^AB GBd | g2 g ece | d^cd =cAc | BGB AFD | B2 B GB/c/d | gfa g2 a | 
 gdB cAF |1 AGF G2 A :|2 AGF G2 ||  