Compose melodious music utilizing the prescribed letter representation and integrating the given thematic element.
X:1
L:1/8
M:6/8
K:G
['g3 e2 d Bee dBA BGG', 'GBd g3 afd g3 a2 f g3', 'dBA BGG', 'a bag agf']  
X:1
L:1/8
M:6/8
K:G
 g3 e2 d | Bee dBA | BGG dGG | BAG ABd | g3 e2 d | Bee dBA | BGG dBA | AGF GBd :: g3 afd | 
 g3 a2 f | g3 eag | fdd dga | bag agf | g3 e2 d | Bee dBA | BGF GBd ::"^Version 2:" g3 eBd | 
 Bee dBA | BGG dBG | BAG A (3Bcd | g2 g (3efe d | BeB dBA | BGG dBA | AGF G (3Bcd :: g3 afd | 
 g3 a2 a | bag agf | gef g2 a | bag agf | g3 e2 d | Bee dBA | AGF GBd :|  