[sdiy] saw vs ramp, audible?

[Mattias Rickardsson]

Donald Tillman <don at till.com> skrev:

> Note that a sawtooth ramping down has all the harmonics in phase with the
> fundamental.
>

Yes.

And a sawtooth ramping up has its harmonics alternating in phase (+1, -1/2,
> +1/3, -1/4,...) from the fundamental.
>

But are you counting from the midpoint now? Surely they must still be in
phase if you just flip the sawtooth backwards around its discontinuity?

Anyway, triangle/square/saw do have different overtone phase relationships,
and I agree it's very important. Both when constructing new waveforms and
when mixing oscillators together. The overtones cancel or reinforce in
different ways, some of them useful and some not helpful at all.

Are there any synths using modified waveforms with alternative overtone
phase setups, in order to match each other (or avoid matching each other)
for different results?

/mr
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