<html><head><meta http-equiv="content-type" content="text/html; charset=utf-8"></head><body style="overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><div>Note that a sawtooth ramping down has all the harmonics in phase with the fundamental.</div><div><br></div><div>And a sawtooth ramping up has its harmonics alternating in phase (+1, -1/2, +1/3, -1/4,...) from the fundamental.</div><div><br></div><div>So when you want to combine a sawtooth with, say, a square wave, one will make an awful lot more intuitive sense than the other. This is extremely important to people, like myself, who combine waveforms a lot. </div><div><br></div><div>Terminology complaint: I don't think the word "sawtooth" is defined to be exclusively ramp up. Nor should it be, given the above.</div><div><br></div><div> -- Don</div><div><div><div dir="auto" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><div dir="auto" style="overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><div style="color: rgb(0, 0, 0); font-family: Menlo; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px;">--<br>Donald Tillman, Palo Alto, California<br>https://till.com</div></div></div>
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<div><br><blockquote type="cite"><div>On Dec 8, 2024, at 1:15 PM, Chris McDowell via Synth-diy <synth-diy@synth-diy.org> wrote:</div><br class="Apple-interchange-newline"><div><div>Falling saw vs a rising ramp, is the difference audible? What is the definitive answer? I have believed for years that the difference is not audible, that maximum disconinuity followed by minimum discontinuity is what a saw or ramp is, and inverted but otherwise identical waveforms sound identical. I came across a wealth of traffic online today arguing against that. I'm super skeptical. Folks' arguments were passionate but not complete in a way that could convince me. What is the real deal here? <br><br>Cheers,<br>Chris McDowell<br></div></div></blockquote></div></div></body></html>