Compose melodious music utilizing the prescribed letter representation and integrating the given thematic element.
X:1
L:1/16
M:2/4
K:G
['BA GFEF GABd egfa gage dcBA G2Bd', 'EcBA GFEF GABd egfa gage dcBA', 'G2G2G2 dc Bdef g2fg agfg edge dcBA', 'EcBA GFEF GABd egfa gage dcBA B>AG/F/E/F/']  
X:1
L:1/16
M:2/4
K:G
 BA | GFEF GABd | egfa gage | dcBA G2Bd | cBAG EcBA || GFEF GABd | egfa gage | dcBA B>AG/F/E/F/ | 
 G2G2G2 :: dc | Bdef g2fg | agfg edge | dcBA G2Bd | cBAG EcBA || GFEF GABd | egfa gage | 
 dcBA B>AG/F/E/F/ | G2G2G2 :|  