Why should music have to stick to the same kind of notation that it has been written in for centuries? Why not make music look as it feels? Why those ascending lines and linked dots? After all, John Cage and Brian Eno started it.
For works that have not yet been played or heard, the notations are called Graphic Scores and are designed to be sight-read and played by a musician. For transcription or re-interpretation of works that the illustrator (rVb) is hearing and converting to an image, these works are called Sound Maps.