Craft a musical piece that integrates the provided melodic theme and the corresponding alphabetical pattern.
X:1
L:1/8
M:2/2
K:Bphr
['Bcde dcBc', 'BcBA G2']  
X:1
L:1/8
M:2/2
K:Bphr
 (d"^Sign" c) | Bcde dcBc | dBgB bBgB | Bcde dcBc | Aaag fedc | Bcde dcBc | dBgB bBgB | bagf gfed | 
 egfa gedc || BcBA G2 (BG) | DGBG DG B2 | BcBA G2 (BG) | FGAB cedc | BcBA G2 BG | DGBG DGBc | 
 dBcA BGAF | DEFG ABc"^Sign" A |]  