Develop a musical piece incorporating the designated alphabet-based pattern and the supplied melodic theme.
X:1
L:1/8
M:4/4
K:F
['A F<Fc>F d>FA>f F<FA>F G3 f F<FA>F', 'G) a f>cd>f c>AF>A G>FA>C (D2 D>)a']  
X:1
L:1/8
M:4/4
K:F
 A | F<Fc>F d>FA>f | F<FA>F G3 f | F<FA>F f>ag>a | c>Af>A (G2 G) :| a | f>cd>f c>AF>A | 
 G>FA>C (D2 D>)a | f>cd>f c<AF>A | B>Gc>C (F2 F>)f | a>fg>a f>cd>f | c>Af>A G3 B | 
 D>FC>F B,>DA,>C | D<GG>E (F2 F) ||  