Compose a music piece that includes the specified motif while adhering to the outlined alphabetical sequence.
X:1
L:1/8
Q:1/4=120
M:4/4
K:Emin
['B GEEF GAB^c dedA F2 DF GEEF', 'efeB efeB', 'dc defd ecdc AFdA F2 DF GEBE']  
X:1
L:1/8
Q:1/4=120
M:4/4
K:Emin
"^Cheerfully" B | GEEF GAB^c | dedA F2 DF | GEEF GABe | GEF^D E2 E :| B | efeB efeB | dedA F2 Dd | 
 efeB efeB | efgf{e} e2 dc || defd ecdc | AFdA F2 DF | GEBE GABe | GEF^D E2 E |]  