O sing unto the LORD a new song: sing unto the LORD, all the earth - Ps 96:1
Every new song to God is ushered in by new revelation and manifestation of God's goodness and glory. Each time you see God in a different dimension, a new song is scripted in your heart for your mouth to sing. When Moses and the children of Israel saw the acts of God in dividing the Red Sea, their spirits were inspired to sing a new song to God. You don't need a music teacher but a touch from above to sing a new song to God
Also, you don't need a new instructor of music but inspiration from on high to sing a new song to God. A new song to God is inspired on the revelation of the amazing goodness of God. You might not have seen what God has done for you but you can sing it into existence - it's a new song to God's glory to usher in what's lacking in your life.
Instead of putting on a sorrowful spirit, rather put on the garment of praise to express your gratitude for the new beginning you desire. May your heart be triggered to burst into new songs to God in Jesus name.