Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
M:3/4
K:F
['AB c2 f2 fe f2 g2 fe', 'fg a>g f>a g>f e2 c3 B']  
X:1
L:1/8
M:3/4
K:F
 AB | c2 f2 fe | f2 g2 fe |{g} fe c>=B c2 |{FGAB} cd e>d .c.d | e2 f2 g>e | f>e c>B A>B | G4 fe | 
 c2 d2{dcA} G>E | F2{GFEF} G2 A2 || B2{cBAB} c2 d2 | G4 fg | a>g f>a g>f | e2 c3 B | AB G3 F | 
 EG F4 | F4 ||  