I was thinking about which two musical notes, when played together, maximize the absolute value of the area under the curve of the resulting wave within its period while keeping the amplitude to a minimum (ideally the amplitude of the original two sound waves). I guess you could try to maximize(adsbygoogle = window.adsbygoogle || []).push({});

[tex] f(\omega,z)=\int_0^T{}|cos(t)+cos(\omega{}t+z)|dt [/tex]

with respect to ##\omega## and ##z##, while keeping the amplitude of ##cos(t)+cos(\omega{}t+z)## equal to ##1##. But I have no idea how to go about it.

Also, I am not looking for particular frequencies.. I guess what matters is the difference between the frequencies since I am only considering the area within their periods.

Thanks!

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# Maximization of wave interference

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