Impulse

I need a light switch for the left half of my brain - the side that analyzes the heck out of everything. I often find that thinking too much screws things up, yet haven't found a reliable technique for curbing my brain.
I'm working on doing some ear training using a program called Ear Test. It plays a note, I play it back, and it tells me if I'm right. The fundamental principle is that notes sound different, independent of pitch. A C, any C, sounds different from any D or any F#, etc. The problem is that the little engineer in my head tries to hyper-analyze the waveform coming into my ears. I find that when my left brain kicks in like this, I guess the wrong note most of the time. However, occasionally and magically, my brain goes silent - no thoughts, only sounds. When this happens, I'll go on a streak of 50 or so notes without mistake.
Same thing is true for other things: I play music smoothly when I'm not thinking. My photographs are much, much better in composition and emotion if I just look through the viewfinder and stop thinking. I already blogged about how photoshop & distracting the brain. Heck, back in Little League, I always got on base at the beginning of the season, when I wasn't thinking about hitting, but struck out consistently when I tried to figure out how to swing better.
So here's the open question for anyone who is reading this blog: How do you turn off your left brain? Or - what are good techniques you use for getting into that mindless, selfless, yet attentive zone where you create freely and smoothly?