Compose a piece of music that follows both the given musical theme and the letter-based structure provided.
X:1
L:1/8
M:2/2
K:D
['BA F2']  
X:1
L:1/8
M:2/2
K:D
"D" A2 B2 c2 d2 | efff edBA |"D" A2 B2 c2 a2 | fe d2"A" e4 |"D" A2 B2 c2 d2 | efff edBA | 
"D" a4 f4 |"G" ed B2"A" A4 ::"Bm" BA F2 BA F2 | A2 B2 BA F2 |"Bm" BA F2 BA F2 |"A" EDEF A4 | 
"Bm" BA F2 BA F2 | A2 B2 BA F2 |"G" Bd d2"D" BAFD |"A" EDEF"D" D4 :|  