Utilizing the provided musical theme and letter-based structure, compose a piece of music.
X:1
L:1/8
Q:1/2=80
M:2/2
K:F
['F>GFA cdfg g>fdg f F2 A cdfg', 'f>gaf gdfc']  
X:1
L:1/8
Q:1/2=80
M:2/2
K:F
 F>GFA cdfg | afga"^tr" g>fdg | f F2 A cdfg | afga ff/f/ f2 :: f>gaf gdfc | dfcA dGGg | 
 f>gaf gdfc | dbag ff/f/ f2 | fgaf gdfc | dfcA dGGc | AFAc f>gag | fdcA FF/F/ F2 :|  