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Although that makes sense, I actually just figured out what the other person meant.

A perfect 5th is a 3/2 ratioof the base frequency (3rd harmonic). If you square that fraction you'll get 9/4, which is a 9/major 2nd.

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Yes, ratio math works without the strangeness. Except it's unfortunate that the 3rd harmonic is the fifth letter and the 5th harmonic is the third letter. Coincidentally, from harmonics 7 through 14, the harmonic numbers match the letter-count numbers. That's partly because 7:8 is the beginning of the harmonics being roughly whole-step sized, and 14:15 is where they shift into half-step size.

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