Seems like a reasonable definition to me. In general, composition, whether aural or visual, has historically often been defined as organization.
On the subject of 12-tone (and other derivative systems - or actually even atonal music more broadly), while it isn’t the easiest to defend, what I would say to Joe is that composers other than Schoenberg are often easier, sometimes a lot easier to listen to. Berg, for example. On a less related note, regarding Schoenberg, I recommend his “late-romantic” works. They are amazing. I would rank Pelleas und Melisande as a favourite of mine.
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