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
Q:3/8=120
M:6/8
K:D
['A f>gf fed', 'Ace fdB ^Ged']  
X:1
L:1/8
Q:3/8=120
M:6/8
K:D
 A | f>gf fed | dcB A2 A | f>gf fed | gee e2 A | f>gf fed | d>cB AFA | ABA ABc | 
 ed"^cr.rest added" z z2 :: B/c/ | dBA ^Gcd | ecA Ace | fdB ^Ged | ce z z2 e | a2 e a2 e | 
 aec Ace | fdB ^Ged | cA"^rests added" z z2 :|  