But the really weird thing is that, any ratio that is close to a simple fraction like (say) 3:2, but not quite, is in fact a much less simple fraction, maybe 67:23 or something.
Yet we don't need the simple ratios be entirely exact, they can be off a little and you get used to it and it's fine. That's why equal temperament even works.
So our brains like simple ratios but also like ratios that are almost kinda like simple ratios but not quite. How does that work? Isn't any ratio close to a "simple ratio" when you leave some wiggle room like this?
Yet we don't need the simple ratios be entirely exact, they can be off a little and you get used to it and it's fine. That's why equal temperament even works.
So our brains like simple ratios but also like ratios that are almost kinda like simple ratios but not quite. How does that work? Isn't any ratio close to a "simple ratio" when you leave some wiggle room like this?