But seriously folks.....
what counts as modern; what counts as jazz; why am I on this forum instead of a bike?
It may not be modern or jazz, but I really like Barbara Thompson's 
Heavenly Bodies, especially side 1, inspired by the Swiss surrealist Dominique Appia's paintings.
Short samples available
 here, but unfortunately(?) no sign of the full versions on YouTube. Some of the 
listen buttons seem to link to totally different artists, but clicking on the title track seems to cycle through most of the other tracks. I don't understand music generally, but I love 
Le Grand Voyage, and can annoy the hell out of Mrs Poacher by attempting to replicate the competing time signatures with simultaneous humming and whistling. 
 
How about Gentle Giant - is it all prog rock, or does some of it qualify as jazz? Frank Zappa? Stomu Yamashta's 
Freedom is Frightening or 
Come to the Edge LP's?