Compose melodious music utilizing the prescribed letter representation and integrating the given thematic element.
X:1
L:1/8
M:6/8
K:F#min
['F2 ^E F2 A G2 B A', 'B^Bc dBd c3 :|2 cdc BAG F^EG']  
X:1
L:1/8
M:6/8
K:F#min
 F2 ^E F2 A | G2 B A c2 | BAG AGF |1 ^EFG E=DC :|2 ^EFG F3 |: c^Bc d3 | GA^A B3 |1 GA^A B^Bc | 
 dBd c3 :|2 cdc BAG | F^EG F3 ||  