Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
Q:1/4=75
M:4/4
K:F
['A2 A>G FA']  
X:1
L:1/8
Q:1/4=75
M:4/4
K:F
 c>B | A2 A2 A>G FA | c2 c2 _e>d c=e | f2 A2 A>G FA | B4 c2 c>B | A2 A2 A>G FA | c2 c2 e>d c_e | 
 d>c AF G3 F | F4- F2 cd | _e2 c2 f2 c>d | _e>d (3cAG A2 cd | _e2 (3dcA f2 A2 | B4 c2 c>B | 
 A2 A2 A>G FA | c3 d _e>d c_e | d>c AF{A} G3 F | F4- F2 |]  