Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
M:2/4
K:D
['F>A dd cd e2', 'g>f ed cB A2']  
X:1
L:1/8
M:2/4
K:D
|: F>A dd | cd e2 | g>f ed | cB A2 | F>A dd | cd e2 | f2 a>c | d2 d2 :: g>f ed | cB A2 | Fd Fd | 
 cd e2 | g>f ed | cB A2 | f2 a>c | d2 d2 :|  