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by dahart 103 days ago
Yes, thanks! And that article points at the “problem” setup in the article: the syntonic or diatonic comma, or the discrepancy between four stacked perfect fifths and two octaves plus a major third.

I like how the Pythagorean comma simplifies to 3^12 / 2^19 - pure powers of three vs pure powers of two. That makes it so obvious (to me anyway) why we can’t have perfect fifths.