Develop a musical piece incorporating the designated alphabet-based pattern and the supplied melodic theme.
X:1
L:1/16
M:2/4
K:F
['', '(cF).F.F cFAc', '.g2(ag) fddf']  
X:1
L:1/16
M:2/4
K:F
 (ufd) |: (cF).F.F cFAc | defg agfd | (cF).F.F cFAc | .d2(cA) (AG).G2 | (cF).F.F cFAc | defg agfd | 
 (cF).F.F cFAc | .d2(cA) (AG).G2 :| .g2(ag) fddf | dfcf dfcf | .g2(ag) fddf | fdcA (AG).G2 | 
 .g2(ag) fddf | dfcf dfcf | (ag).f.a gfde | (fd).c.A (AG)"^D.C.".G2 ||  