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:F
['FE FA']  
X:1
L:1/8
M:2/4
K:F
 (3C/D/E/ |"F" FE FA |"C7" c/B/G G/F/A/G/ |"F" FE FA |"C7" c/B/G/E/"F" F(3C/D/E/ | FE FA | 
"C7" c/B/G G/F/A/G/ |"F" FE FA |"C7" c/B/G/E/"F" F2 |:"F" A>B cA |"Bb" Bc dd |"C7" G>A BG | 
"F" A/B/A/G/ FF | A>B cA |"Bb" Bc dd |"C7" G>A BE |"F" FF F z ::"F" F2 E2 | F2 A2 | 
"C7" c2 (3(BAG) |"F" F2 z2 | F2 E2 | F2 A2 |"C7" c2 (3(BAG) |"F" F2 z2 :|  