Zoom in on one cycle.pic.twitter.com/qBlCFr5jZz
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Okay, so @jix got it first without spoiling it too much, and @datenwolf said it out loud.
The answer is that it sounds exactly the same as a square wave, because it is a square wave, with every frequency component phase shifted by 90 degrees.
So take the Hilbert transform, or multiply every component of the (positive/real) FFT by i.
That looks like a Tan wave. No idea what it would sound like though.
At what frequency?
Doesn't really matter, periodic waveforms sound similar no matter the pitch. Pick something like 440Hz if you must.
It looks like it would be buzzy and full of high frequency, but I think that's just a visual trick and it sounds the same as a sine wave
I don't think anything but a sine wave can sound like a sine wave, given that it's a pure tone!
If you turn it by 90 degree maybe you can fit a square peg into a uh somewhat round and spikey hole
You just knew this one didn't you.
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