Develop a musical piece by utilizing the alphabet-based notation of the selected musical form and the provided melodic idea.
X:1
L:1/8
Q:1/8=180
M:4/4
K:Amin
['AcBG A2 (3Bcd eaa^f', 'cdeg g2 ag', "ab [ac']2 ba aged (3Bcd a^f gfed"]  
X:1
L:1/8
Q:1/8=180
M:4/4
K:Amin
 G | AcBG A2 (3Bcd | eaa^f gedB | G2 GE GEDE | GABG AGEG |"^5" AcBG A2 (3Bcd | eaa^f gedA | 
 (3Bcd a^f gfed | gedB A3 :: B |"^9" c2 cB cdeg | g2 ag ge d2 | dBGB d3 d | dBGB d2 dB | 
"^13" c2 cB cdeg | g2 ag gedA | (3Bcd a^f gfed |1 gedB A3 :|2 gedB A2 |: (3Bcd |"^17" eaag a2 ab | 
 [ac']2 ba age^f | gba^f gece | gba^f gedf |"^21" eaag a2 ab | [ac']2 ba aged | (3Bcd a^f gfed |1 
 gedB A2 :|2 gedB A4 |]  