[sdiy] saw vs ramp, audible?

[Tom Wiltshire]

> On 8 Dec 2024, at 22:43, Donald Tillman <don at till.com> wrote:
> 
> Note that a sawtooth ramping down has all the harmonics in phase with the fundamental.
> 
> And a sawtooth ramping up has its harmonics alternating in phase (+1, -1/2, +1/3, -1/4,...) from the fundamental.

That's an odd way to look at it, since it produces a waveform which is half-a-cycle out of phase. In my view, it's the half-cycle-out-of-phase that leads to the harmonics being alternately flipped, not the changed slope.

If you want to flip the slope without changing the phase, you'd simply invert all the harmonics. E.g. the amounts are *all* negative, not every other one.

Tom