What music is not derivative?

I'm more than sure that beatles is somewhat derivative of Bill Heiley, Elvis Presley,...
Frank Zappa can be considered as a complex derivative of higher than first order from different bands often humiliating them with his genious musical way giving an extra-ordinary colour to the jazz and rock.
Gentle Giant is not the first-order but still can be considered as a derivative to Genesis and so is Van Der Graaf Generator. The first-order derivative of Genesis we can consider Marillion.
If you consider King Crimson than Robert Fripp is not only a leader of that band but a talented mathematician and there is a whole line of "Larks..." created further on as a true multiple order derivatives of the original "Larks Tongues In Aspic" composition. I'm still checking this hypothesis and more believe that it's true.
An abstract music can be presented as a very large-order derivative of hell-knows what:
David Byrne working with Robert Fripp or Bryan Eno started to take a high-order derivatives I assume from his previous Talking Heads works giving some unrealistic abstractions.

I'm sure that Pink Floyd is derived somehow, but it was a band of my youth rather than I'm too much into it right now.

Monsieur Jacques Loussier brought the hypothesis that jazz was derived from J.S.Bach and figured why not playing original instead of derived in the classic jazz trio.

Very often the high orderds of derivatives we accept as an original and somwhere we could be right about that since if you compare already the sixth order derivative with original less-likely you would see the connection between.

OOOPS!
Jposs, I think you didn't shoot well on Kraftwerk...
Everything in synth business probably starts from Jean Michell Gare the former leader of synth band Space.

As I said before that if you take a derivative of the higher than third order(please recall the school math for Christ sake) you might not distinguish a derivative from the original function!

Let me begin from Classical music that in fact also has lots of directions and generations.
At the same time when the classical music existed there were Mazurkas Waltzes and Tangos popular for parties back than.
Than there were influence of a black rhythms and music that influenced to create blues, fox-trot and later-on swing.
Than the rock-n-roll took over blues, fox-trot and swing as a derivative of previousely stated.
Than The Beatles created pop that is derivative of everything stated above.

Derivative we can scientifically define as an operand that decreases a degree of a function but if the derivatives are taken on multiple-order the function could be still complicated and hard to understand from the first sight.