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:Dmix
['=cAAF G2', 'f3 g']  
X:1
L:1/8
M:4/4
K:Dmix
 dB | =cAAF G2 AB | =cABG AddB | =cAAF G2 eg | fdec AddB | =cAAF G2 AB | =cABG AddB | 
 =cAAF G2 e/f/g | fdec Adde || f2 fg a2 ag | fefg afde | fefg abag | fdec Adde | f3 g a3 g | 
 f3 g afde | feaf gbag | fdec AddB ||  