Craft a musical piece that integrates the provided melodic theme and the corresponding alphabetical pattern.
X:1
L:1/8
M:2/4
K:F
['c>f a2', 'cfAc FAcf']  
X:1
L:1/8
M:2/4
K:F
|: f2 Tc>d | Tc>dTc>d | c>f a2 | c>f a2 | b2 Tg>a | Tg>aTg>a |{a} g>fe>f | g>e c2 :: a>f f2 | 
 cfAc | FAcf | e>g Tg2 | a>f Tf2 | cfAc | FAcf | g>e Tf2 :|  