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Chordify is great! Their backend is written in Haskell, and part of it is open source as well: http://hackage.haskell.org/package/HarmTrace



they did a couple papers describing algos:

http://ismir2012.ismir.net/event/papers/295_ISMIR_2012.pdf

http://ismir2012.ismir.net/event/papers/LBD2.pdf

(There's usually a few "doesn't work" comments, but imagine how much extra processing is required to get the fundamental when you run guitars thru delay/ reverb, overdrive/distortion, chorus/tremolo/vibrato etc effects)




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