[sdiy] Fwd: saw vs ramp, audible?

[Mattias Rickardsson]

How linear is the human hearing, compared to the speakers or headphones
needed to do these listening tests?

If going from low volumes to higher, would audible differences caused by
nonlinearities typically first manifest themselves in the speakers or in
our ears?

I have the feeling that it's hard to ensure that the audio devices give
clean enough signals.

/mr

Den mån 9 dec. 2024 20:42cheater cheater via Synth-diy <
synth-diy at synth-diy.org> skrev:

> ...in a perfectly linear system.
>
> On Mon, Dec 9, 2024 at 8:36 PM Ian Fritz via Synth-diy
> <synth-diy at synth-diy.org> wrote:
> >
> >
> >
> >
> > -------- Forwarded Message --------
> > Subject: Re: [sdiy] saw vs ramp, audible?
> > Date: Mon, 9 Dec 2024 12:25:45 -0700
> > From: Ian Fritz <ijfritz at comcast.net>
> > To: Tom Wiltshire <tom at electricdruid.net>
> >
> >
> >
> > On 12/9/2024 9:47 AM, Tom Wiltshire wrote:
> > >
> > >
> > >> 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
> > > _____
> >
> > Choose your coordinate system so the SAW is symmetrical both
> > horizontally and vertically. Then it is zero at the origin and thus
> > there are only Sin functions in its Fourier series expansion, Cos
> > functions being non-zero at the origin.
> >
> > Now you should be able to see that inverting the SAW is the same as
> > simply reversing the sign of each Sin component's argument. As you
> > cannot hear the difference between Sin waves with opposite arguments,
> > the two SAWs will sound the same, unless there are nonlinear process
> > introduced in the audio pathway or in the ear.
> >
> > So Tom is, of course, absolutely correct.
> >
> > Ian
> >
> >
> >
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