I've heard so many artists, lecturers and teachers say they're "not thinking" when they improvise. I understand but I don't believe it to be entirely true. I also want to offer a different concept for playing "outside" the harmony – for me, it's a melodic consideration, not a strictly harmonic or theoretical one.

Thanks to @AdamLevyGuitarTips for spurring the line of thought about thinking vs. playing:    • GUITAR IMPROVISATION: What are You TH...  

Thanks to "Baldwin Funster" on MusicPlayer Forums for getting the gears turning about "playing outside."

  / ryshpanmusic  
http://www.ryshpanmusic.com
http://ryshpanmusic.bandcamp.com

0:00 Hammond C3 shed
1:00 intro
1:56 what we think about when we improvise
3:27 learning music like learning a language
6:58 not listening to yourself
7:55 playing outside harmonic vs melodic perspectives
9:45 integrating harmonic ideas beyond theory
15:10 EXAMPLE: It Could Happen To You
19:10 EXAMPLE: It Could Happen To You take 2
20:49 tools for playing outside
22:30 indexing the ideas of your solo