[sdiy] saw vs ramp, audible?

[Mattias Rickardsson]

On Thu, 19 Dec 2024 at 10:35, Richie Burnett <rburnett at richieburnett.co.uk>
wrote:

> MR wrote:
>
> > ....But the triangle becomes a nice
> > almost-half-circular waveform if you align them!
>
> It looks pretty much like a sinewave, but still has all the harmonics and
> the timbre of a triangle.  That's pretty cool.  Another example of
> substantially different looking waveforms with the same sound.  Also goes
> to
> show that what initially *looks* like a decent sinewave can actually have
> quite high distortion!
>

Oh no, they don't look much like a sinewave. It's more like a row of
semi-circles upwards/downwards from the zero line. We use to call this
waveshape "designers sinewave", since it's so often seen in illustrations
of sinewaves, but totally wrong and in best case a misunderstanding of how
sinewaves relate to circles. :-D

https://www.desmos.com/calculator/vtai9amxtl

What's interesting (and a bit annoying) is how it's not a perfect
semi-circle but very very close... why would math bother with getting so
close to a shape but not really mean it?

/mr
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