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But, if I play pure sin(t440) + sin(t440x2^(4/12)) + sin(t440x2^(7/12)), it still sounds like a major chord?

I'm on mobile, so I can't whip up a jsfiddle, but I know from experience this doesn't sound terrible?

It's hard to type the equations out on my phone, but the resulting wave when adding a and a# has a very large period and sounds bad, where a + c# has a shorter period and sounds good. I'd be curious about the pure sine wave which matches the period of the summed waves.

I feel like there's more to this. Maybe I can make a visualization with matching sound over the weekend.




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