Utilizing the provided musical theme and letter-based structure, compose a piece of music.
X:1
L:1/8
Q:1/8=120
M:3/4
K:D
['F^A B2 c2 d2 d2 c2 AF', 'A2 G2 F>E F^A B>d c>B A>F']  
X:1
L:1/8
Q:1/8=120
M:3/4
K:D
 F^A | B2 c2 d2 | d2 c2 AF | F2 d2 dc | B4 AB |{B} d2 d2{d} BA |{A} B2 B2 AG | F2 AF ED | 
 B,>C DE FG | E2 D D3- | D4 :| B,C | DE FG A2 | G2 F>E F^A | B>d c>B A>F | A4 (3ABd | e2 e2 de | 
{e} f2 f2 ed | B2 B2 dB | A2 A2 GF | ED D3- | D4 :|  