[sdiy] saw vs ramp, audible?

[Donald Tillman]

On Dec 9, 2024, at 4:03 AM, Mattias Rickardsson <mr at analogue.org> wrote:
> 
> Donald Tillman <don at till.com <mailto: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?

(I had to think about this...)

Good point!  When you play it backwards the even harmonics reverse polarity but the odd harmonics don't.  So yeah, it's consistent that way.

  -- Don
--
Donald Tillman, Palo Alto, California
https://till.com


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