Jazz Theory

For jazz composition - given your current theory knowledge - any of those would be worth reading. Chord Scale Theory (Levine's angle too) is widely misunderstood, but mainly because people think it is a process for improvisation, and it really isn't. Galper is much better on the process of improvisation (You can get his views - FWIW - on chord scale theory here: https://www.youtube.com/watch?v=NehOx1JsuT4 ) But for composition - given your current state of knowledge on conventional theory - you should get plenty of inspiration from any of those books. (For Levine, just bear in mind it is "A" jazz theory book, not "The"...) Also check out Dariusz Terefenko - expensive, but comprehensive - could take the place of your first three! William Russo is also good on jazz arranging - despite the title, that really is more about arranging than composing (and big band orchestration) but is an enormous book with loads of useful practical info. In the main, of course, composition is not done from theory. It's done from experience playing music in that genre. All pro jazz musicians (composers or improvisers) know probably 100s of standards by heart, and have probably played all styles and periods of jazz in the past. E,g., you will certainly have at least one Real Book in your collection. Right? You have played countless jazz tunes in the past. Right? You have played with plenty of other jazz musicians. Right? The point is that jazz is really a performers' music, not a composers' music. It's not even really a style of composition - it's an attitude to performance, to improvisation from given material - whether that material is yours or someone else's, and whatever genre that music might have originally been written for.