Here is a page with a lot of good examples of more accessible modern classical music:
http://lukemuehlhauser.com/how-to-fall-in-love-with-modern-c...
Thanks. Also available on Google Music: https://play.google.com/music/listen?u=0#/album/B7rnljvunduk...
For example this one, to the 12-note piece mentioned towards the start: https://www.youtube.com/watch?v=3sylplEFxXo and the talk: https://www.youtube.com/watch?v=X8K9gkuHpMo