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> While a perfect fifth is a difference of 7 semitones, this produces a difference of only 6.804 semitones. It would seem that its designers didn't have a perfect fifth in mind.

Remember that 7 semitones is not a perfect fifth. (Note this depends on your definition of perfect fifth, some people allow for being close, since equal temperament is so common.)

While a perfect fifth is a 3:2 ratio of frequency, seven semitones isn’t exactly 1.5, it’s more like 1.498.

800/540 is ~ 1.48, so I definitely agree the designers weren’t going for a fifth, very likely they wanted some beat interference to give it a nice metallic warble.



You are correct sir.

I was speaking (a bit erroneously) in the context of an equal tempered scale. (I think.)

Indeed, the natural overtone series is the proper context for a true perfect fifth.




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