Other commenters here have done a good job picking out specific problems with the author's arguments. It's always frustrating when someone who is capable and knowledgeable about one subject decides to try their hand in a different field without having bothered to do any real research or study in it. And it's doubly so when they proceed to then dismiss, literally, the entire field as "superstitions," and "unscientific" even as everything they've written betrays that they haven't bothered to familiarize themselves with basically any of the work that's been done in music theory or psychoacoustics in the last 100 years.
I usually love it when articles about the intersection of music and computation show up on HN, but in this case it's really unfortunate. At least it's sparking some good discussion, I guess.