I don't think your wrong. but I think you should be more open minded. your music sounds pretty good. You didn't come up with none of that improvising?
It doesn't have to written on paper to be called writing. Most of my music is just recorded.
No all of it is improvising. Which music were you looking at, the one on my profile or on the soundcloud?
And yeah thats how I keep track of my music, just record it.
So I know this thread is pretty much dead but I found out that just warming up by improvising just by myself really helps to improv with others. I think it probably has something to do with "calibrating" my ear to the relations of the notes to eachother.