Utilizing the provided musical theme and letter-based structure, compose a piece of music.
X:1
L:1/8
Q:1/8=120
M:2/2
K:D
['D2 F2 DF A2 FA', 'd2 A2 d>efd d>efd AF dB AFED']  
X:1
L:1/8
Q:1/8=120
M:2/2
K:D
 D2 | F2 DF A2 FA | d2 Ad f2 df | a2 ba g2 f2 | e2 ee e2 D2 | F2 DF A2 FA | Bcde dcBA | 
 Bcdg f2 e2 | d2 d>d d2 :: A2 | d>efd d>efd | AF dB AFED | GAdc BAGF | E2 EE"^qu" E2 D2 | 
"^qu" F2 DF A2 F>A | B2 ge dcBA | Bbag f2 e2 | d2 d>d d2 :|  