The sound of a perfect square wave

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A perfect square wave theoretically contains infinite odd harmonics, making it impossible to produce in reality. If it could be generated, it might sound similar to a clarinet rather than harsh or buzzy. Human hearing is limited to about 20 kHz, meaning differences between a perfect square wave and one with higher harmonics removed would be inaudible. Additionally, air may restrict the ramp rates of generated square waves. Some discussions suggest that ultrasound, when transmitted directly to the skull, produces unique sounds that differ from conventional musical notes.
Mohd Abdullah
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Hey guys,

It is stated that a 100% perfect square shaped wave have infinite odd harmonics and it is impossible to produced theoretically. But, assuming if a perfect square wave is produced, what would it sound like? I remember someone said it in Youtube it would actually sound like a clarinet instead sounding harsh and buzzy.
 
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It's a common alarm tone, and you can hear one yourself on the Wikipedia article on square waves.
 
Human ears can't hear anything above about 20 kHz*, so you couldn't hear the difference between a "perfect" square wave and one with harmonics above 20 kHz removed.

*That's for healthy young ears. The limit could be much lower for older ears.
 
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In addition to the limitation of human hearing, wouldn't the air also limit the ramp rates on something close to a generated square wave?
 
One fun thing you can try if you have access to Mathematica is to find the Fourier series for a square wave and then use the 'Play' function. You can add successive harmonics and try each one and then experience it for yourself.
 
DrGreg said:
Human ears can't hear anything above about 20 kHz*, so you couldn't hear the difference between a "perfect" square wave and one with harmonics above 20 kHz removed.

*That's for healthy young ears. The limit could be much lower for older ears.

Thanks for the response. But recently I hear people saying that ultrasound can be heard if it is fed directly to the skull, I think it doesn't sound like any of the musical notes for example, the highest note of the piano. I think it sounds weird and unique. Thoughts?
 
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