I'm looking for a mathematical definition of this scale.  

http://docs.gimp.org/en/gimp-tool-levels.html says 0 is black and 255 is
white.  What's in between?  Is 7 double the brightness of 6?

What is the luminance / brightness of each of the levels?

Is it a logarithmic scale?  

"Life is either a daring adventure or it is nothing at all."
- Helen Keller
http://www.ChaosReigns.com                                 Guns save lives.
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