Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/4
Q:1/4=120
M:3/4
K:F
['c B A c']  
X:1
L:1/4
Q:1/4=120
M:3/4
K:F
|:"F" a g f |"^/A" c f e |"Bb" f b a |"C" g/f/ g/a/ g |"F" a g f |"Am" c/d/ e c | 
"Bb" f/e/ d/g/"C7" e |"F" f3 ::"F" c B A |"^/" c B A |"C/E" c g a |"C7" b2 g |"F" a/g/ f/a/ g/f/ | 
"C" g/f/ e/d/ e/c/ |"Gm" d g"C7" e |"F" f3 :|  