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
['F2 AF G2 AB A2 GG F2']  
X:1
L:1/8
M:2/4
K:F
 C | FCFG A2 G2 | F2 FA | AGGG F2 AF | G2 AB | A2 GG F2 AF | G2 AB A2 GG | F2 z4 z |]  