Construct a musical piece that contains the provided motif and abides by the prescribed alphabetical scheme.
X:1
L:1/8
Q:1/8=128
M:4/4
K:A
['A<A e>A f<A e>=g =G<G']  
X:1
L:1/8
Q:1/8=128
M:4/4
K:A
|: e | A<A e>A f<A e>=g | =G<G d>B =g>e dB | A<A e>A f<A e>=g | =G<G B>d e>A Ae | 
 A<A e>A f<A e>=g | =G<G d>B =g>e dB | A<A e>A f<A e>=g | =G<G B>d e>A Ag | a2 e>g a>e c>A | 
 =g2 d>g B>g B<=G | a2 e>g a>e c>A | B<=G B<d e<A Ag | a2 e>g a>e c>A | =g2 d>g B>g B<=G | 
 A>B =c>d e>d B>=g | =G>A B>d e<A A :|  