Incorporate the given motif and use the alphabetical representation of the specified musical sequence to compose a distinctive musical piece.
X:1
L:1/8
M:4/4
K:G
['GBDG B2 BA GBed ^cdAG FADF ADFA', 'e2 f2 g2 fe ed^cd B2 AG']  
X:1
L:1/8
M:4/4
K:G
|: BA | GBDG B2 BA | GBed ^cdAG | FADF ADFA | GBed ^cd=cA | GBDG B2 BA | GBed ^cdAG | FADF ADFA | 
 G2 B2 G2 :: d2 | e2 f2 g2 fe | ed^cd B2 AG | FADF ADFA | GBed ^cdBG | e2 f2 g2 fe | ed^cd B2 AG | 
 FADF ADFA | G2 B2 G2 :|  