Compose melodious music utilizing the prescribed letter representation and integrating the given thematic element.
X:1
L:1/8
Q:1/8=180
M:4/4
K:F
['c fgag f2 c2 defd cAGF fgag', 'c3 d c2 AB c2 fd B2']  
X:1
L:1/8
Q:1/8=180
M:4/4
K:F
 c | fgag f2 c2 | defd cAGF | fgag afed | cdc=B c3 :| d |"^tr" c2 AB c2 fd | 
"^tr" B2 GA"^tr" B2 gB |{B} A2 GF dBAG | FGFA F3 |]  