Hi Ram,
What do you mean by categorize?
do you mean, for instance, we are setting up a music library and we want to establish the most efficient card catalogue?
or something more like: how are all these beloved pieces of music arranged into constellations in the mind?
or something else?
I'll try to answer one of these, which may or may not be the one you had in mind. :-)
I was once in a library where all the books were arranged alphabetically by the author's last name. Extremely efficient for shelving and disastrous for browsing (well, except for completely random browsing). For an artist with a particular musical skill who is looking for something to play, categorizing in the way you did (which is really also about instruments, as well as competencies in various styles) would be extremely useful.
On the other hand for me personally, as a listener music is so closely bound up with emotions and moods that my categories would be very different, much less rational perhaps. Jazz in a run-down nightclub in Paris (the kind they used to have in the 20th) is to me more like rembetiko than the bright brassy jazz of a summer afternoon in the park, for instance. I'll stop short of suggesting that we organize by color-coding...though that's probably not far from how I actually think.
This reminds me of something Benjamin says, that the revenge which cities take on people is that a person's memory of any encounter or conversation is never purely of the encounter itself, but always also of the scene around it.