Edge Parity on a 5x5 occurs when you pair the last edges and one edge doesn't match.  This is because the two "wings" need to be swapped.  

Perform this algorithm with the flipped edge piece in the front top position.

 Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 3Rw' U2 Rw U2 Rw' U2 Rw'

5x5 Edge Parity


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I always had to spend over 3 minutes finding a video for the parity alg so this helps a bunch!

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