to send up a loud, ringing cry: most often a shout or song of joy, but at heart simply to call out at full voice
At its core this word names a loud, piercing cry that carries on the air. The picture is not quiet humming or careful singing but a voice raised to its fullest, ringing out so it can be heard at a distance.
Almost everywhere in the Bible that cry is one of joy. People shout for gladness, break into song, and let creation itself join in: hills, trees, and seas are pictured raising the same glad noise. This is the celebration of people who have been rescued, forgiven, or simply caught up in praise, and it usually points toward God as the reason for the joy.
The same loud cry can occasionally carry other feelings. In one place it is a desperate cry wrung out in the night by people in anguish, and in the book of Proverbs it is the loud public call of Wisdom pictured as a woman calling out in the streets for anyone to hear. The thread tying every use together is the volume and reach of the voice, not the emotion behind it; the joy is what the word is normally used for, not what the word itself means.