<html><head><meta http-equiv="content-type" content="text/html; charset=utf-8"></head><body dir="auto"><div dir="ltr"></div><div dir="ltr">String players tune double-stop intervals by the difference-frequencies produced by nonlinearities in the ear.</div><div dir="ltr"><br></div><div dir="ltr">Ian</div><div dir="ltr"><br></div><div dir="ltr"><br><blockquote type="cite">On Dec 9, 2024, at 6:47 PM, Donald Tillman <don@till.com> wrote:<br><br></blockquote></div><blockquote type="cite"><div dir="ltr"><meta http-equiv="content-type" content="text/html; charset=utf-8"><div>On Dec 9, 2024, at 12:18 PM, Mattias Rickardsson <mr@analogue.org> wrote:</div><div><blockquote type="cite"><br class="Apple-interchange-newline"><div><div dir="auto">How linear is the human hearing, compared to the speakers or headphones needed to do these listening tests?</div></div></blockquote><div><br></div><div>Good question! Not very linear.</div><div><br></div><div>"How nonlinear?"</div><div><br></div><div>Nonlinear enough that you can make music with the intermodulation distortion products.</div><div><br></div><div>"WTF?"</div><div><br></div><div>I heard an impressive demo at Stanford's CCRMA a while ago where Alex Chechile created a piece of music with notes were never actually played, but where created in the intermodulation distortion products inside the ear.</div><div><br></div><div>Alex Chechile, "Practical applications of difference tones in electronic music composition and synthesis"</div><div><a href="https://searchworks.stanford.edu/view/13680791">https://searchworks.stanford.edu/view/13680791</a><br></div><div><br></div><div> -- Don<br>--<br>Donald Tillman, Palo Alto, California<br>https://till.com</div><div><br></div></div><span>________________________________________________________</span><br><span>This is the Synth-diy mailing list</span><br><span>Submit email to: Synth-diy@synth-diy.org</span><br><span>View archive at: https://synth-diy.org/pipermail/synth-diy/</span><br><span>Check your settings at: https://synth-diy.org/mailman/listinfo/synth-diy</span><br><span>Selling or trading? Use marketplace@synth-diy.org</span><br></div></blockquote></body></html>