Compose a piece of music that follows both the given musical theme and the letter-based structure provided.
X:1
L:1/16
Q:1/4=120
M:2/4
K:D
['fg a2a^g a2ag a2a2 bagf g2gf g2gf', '[dF][dF][fd][fd] [dF][dF][fd][fd] defg']  
X:1
L:1/16
Q:1/4=120
M:2/4
K:D
"^Fast (quadrille)" fg | a2a^g a2ag | a2a2 bagf | g2gf g2gf | g2g2 agfe | f2fe f2fe | defg a2a2 | 
 f2f2 efe2 | Md4 Md2 :: (3(ABc) |"^(Rocking bow)" [dF][dF][fd][fd] [dF][dF][fd][fd] | defg agfe | 
 [cE][cE][ec][ec] [cE][cE][ec][ec] | cdef gfe2 | [dF][dF][fd][fd] [dF][dF][fd][fd] | defg a2a2 | 
 f2f2 efe2 | d4- d2 :|  