Craft a piece of music that integrates both the suggested theme and letter-based structure.
X:1
L:1/8
Q:1/8=160
M:6/8
K:G
['BAG dcd GBd', 'd2 d bgg', 'g2 e', 'd dBd g2 a bab bag gee']  
X:1
L:1/8
Q:1/8=160
M:6/8
K:G
 GE | DzG BAG | dcd GBd | dge dBG | ABA AGE |"^5" DzG BAG | dcd GBd | dge dBA | AGF G2 E | 
"^9" D2 G BAG | d2 d GBd | g2 e dBG | ABA AGE |"^13" D2 G BAG | dcd GBd | g2 e dBA | BGG G2 d || 
"^17" d2 g agg | aga bge | d2 d bgg | aba age |"^21" d2 d bgg | aga bge | dge dBG | ABA G3 :| 
"^25" d2 e dBG | e2 d ege | deB dBG | ABG ABc |"^29" ded dBG | e2 d ege | dBB AGA | BGF G3 :| 
"^33" dBd GBd | dBd g2 e | dBA G2 a | bge g2 e |"^37" edB G2 d | dBd g2 a | bab bag | gee egg :|  