Develop a musical composition by integrating the alphabetically represented musical pattern and the supplied melodic theme.
X:1
L:1/8
M:6/8
K:F
['A A']  
X:1
L:1/8
M:6/8
K:F
 A | A A A G2 A | B c d B z c | A A A G E A | A3/2 G/ ^F E2 B | c B A (dc) d | e c A (AG) c | 
 c B A G E D | E A ^G A2 z |]  