/sci/ - Science & Math

>>15254678
>>15254768
For zero frequency (DC) the inductor is just a wire. Higher frequencies can't pass as easily. RL is called a low pass filter. Waveforms other than sine won't be the same. See pic related. But unless it's just math, your input was bandlimited to begin with, and I would say that two bandlimited square waves resemble eachother more than they resemble a square wave with infinite bandwidth.

Hey /sci/, I've recently stumbled across the majesty that is Fourier Analysis and now have an interest in all things wavy. I want to experiment this summer with sound and program a sound/music synthesizer from scratch. I have three questions for you:

1) By any chance, is there any way to know 'how much' of a certain overtone there is in the output of, say, a piano other than measuring empirically? A neat formula would be more desirable than just hard-coding an array for each instrument. (Though, I will if that's the only method.)

2) Can humans detect a phase shift? For example, in a sawtooth wave, if I were to shift one of the fundamentals by 180 degrees so it were no longer a sawtooth, would we notice a difference in the sound?

3) Has anyone here taken on anything like this? Any tips? Suggestions?

pic somewhat related