Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
M:9/8
K:F
['(A2 .F) (c2 .A)', 'cdc (f2 .c)']  
X:1
L:1/8
M:9/8
K:F
 (A2 .F) (c2 .A) fga | (A2 .F) (c2 .A) BAG | (A2 .F) (c2 .A) fga | (b2 .a) (g2 .f) edc :: 
 cdc (f2 .c) fga | cdc (f2 .c) BAG | cdc (f2 .c) fga | (b2 .a) (g2 .f) edc :|  