Tuneless implies music lacks harmony and is hard to listen to, not just simply unskilled. Despite her efforts, her tuneless rendition of the anthem made the crowd wince.
Pro Tip 2/3
Subjective Perception
What sounds tuneless to one person might not to another; it's often a personal opinion. My dad finds jazz tuneless, but I love its improvisational sound.
Pro Tip 3/3
Music Context
Tuneless usually describes musical elements, but it may refer to other sounds meant to be musical. The tuneless beeping of the old computer was a far cry from the harmonious music it was designed to play.