Compose melodious music utilizing the prescribed letter representation and integrating the given thematic element.
X:1
L:1/8
Q:1/8=100
M:6/8
K:F
['fed c>BA BGG G3/2 d/e/f/ g2 e', 'e2 d']  
X:1
L:1/8
Q:1/8=100
M:6/8
K:F
 fed c>BA | BGG G3/2 d/e/f/ | g2 e cfc | AFF F3 || g2 f e2 d | d f2 f3/2 g/f/g/ | e2 d cfc | 
 cAF F3 ||  