Hmm, that's actually pretty interesting... I didn't know that, so you can't EXACTLY say that it's common knowledge. Nice find! 
If file a is 1 and b is 2, then Black is where they say howdy-do
Sort:
yeah. as you say:
odd odd = black [a, c, e, g] [1, 3, 5, 7]
even even = black [b, d, f, h] [2, 4 ,6, 8]
odd even = white [a, c, e, g] [2, 4 ,6, 8]
even odd = white [b, d, f, h] [1, 3, 5, 7]
what if a chess board was a 95 by 95 square?
i just did it on the calculator. It says that 95 times 95 equals 9025. that's a lot of squares! Maybe we should figure out patterns with that amount of squares.... 
"WOAH!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!"
ummmmmm.............. Ok now i'm not so sure... Lol..
I was trying a Tactics Trainers here and the task was to name the color of a few different tiles blindfolded. It was taking me a solid 15 seconds or so to walk through the board to name just one and out of no where this idea hit me:
If you assign a number to every file (a=1, b=2, c=3...), then whenever the file and rank share the same parity (even/oddness) that tile is Black, otherwise it's White.
In otherwords any time a tiles file and rank are both even or both odd then the tile is black. Otherwise the tile is white.
Whaddya think? Is there an easier or more accurate jingle? Is this common knowledge lol?