Compose melodious music utilizing the prescribed letter representation and integrating the given thematic element.
X:1
L:1/8
Q:1/8=128
M:4/4
K:D
['d>F DF', 'f2 d<a']  
X:1
L:1/8
Q:1/8=128
M:4/4
K:D
|: g | f>d e>c d>F DF | E>=C C<G G2 G>g | f>d e>c d>F DF | A>F DF A2 A>=c | B>G A>F d>F DF | 
 G/E/D/D/ =C<E G<c G<E | F<D G<E A<F B<G | d/c/B/A/ d>F D2 D :| g | f2 d<a f<d a>f | 
 g>e =c>e g2 g>a | f2 d<a f>g a<f | a<f d<a f<d a>d | f2 d<a f>g a<f | g>e =c<g e<c g<e | 
 a>f g>e f>d e>c | d/c/B/A/ d>F D2 D>g | f2 d<a f<d a>f | g>e =c>e g2 g>a | f2 d<a f>g a<f | 
 a<f d<f a>b a<f | g<b g<e f<a f<d | e<g e<d c>d e<g | a>f g>e f>d e>c | d/c/B/A/ d>F D2 D ||  