Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
M:4/4
K:C
['z2 FF']  
X:1
L:1/8
M:4/4
K:C
 GG | c3 GFEDC | B,D F2 z2 FF | d3 cBAGF | EG c2 z2 cc | c2 A2 z2 FF | F2 E2 z2 dd | d2 B2 z2 GG | 
 G2 ^F2 z2 EG | e3 dcBA/dc/ | B4 z2 |]  