<div class="gmail_quote">On Tue, Mar 9, 2010 at 1:54 PM, Juan Reyes <span dir="ltr"><<a href="mailto:juanig@ccrma.stanford.edu">juanig@ccrma.stanford.edu</a>></span> wrote:</div><div class="gmail_quote">>>Niels:<br>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex;"><div class="im">
> The other thing that would be interesting is to explore the<br>
> intersection between fractal self-similarities and rhythm/melody. Is<br>
> music, and that which sounds musical "fractal" in nature, much like<br>
> when we see something and instantly identify "tree" or "mountain" or<br>
> "coastline" because of their fractal nature? Do we appreciate when<br>
> music is more fractal, versus being a kind of latticework, infinite<br>
> pattern, or just a random potpourri of sounds strung together for no<br>
> purpose?<br>
<br>
</div>This is a nice thought!</blockquote><div><br></div><div>Along these lines I just came across a very interesting article from "Notices of the American Match Society" which has an intersting issue on the Art of Mathematics: </div>
<div><br></div><div>Music: Broken Symmetry, Geometry, and Complexity </div><div>by Gary W. Don, Karyn K. Muir, Gordon B. Volk, James S. Walker</div><div>Notices of the American Match Society, Jan 2010, Vol 57, Num.1 , pp. 30-49.</div>
<div><span class="Apple-style-span" style="font-family: Arial; font-size: 13px; "><div class="url" style="color: rgb(0, 136, 0); max-width: 500px; white-space: nowrap; overflow-x: hidden; overflow-y: hidden; text-overflow: ellipsis; ">
<a href="http://www.univie.ac.at/nuhag-php/dateien/rtx100100030p.pdf">http://www.univie.ac.at/nuhag-php/dateien/rtx100100030p.pdf</a></div><div><span class="Apple-style-span" style="font-family: arial; font-size: small; "><a href="http://www.ams.org/notices/201001/rtx100100030p.pdf">http://www.ams.org/notices/201001/rtx100100030p.pdf</a></span></div>
</span></div><div><a href="http://www.uwec.edu/walkerjs/MBSGC/">http://www.uwec.edu/walkerjs/MBSGC/</a></div><div><a href="http://www.gogeometry.com/software/fractal_music_spectogram_granular_system_video.html">http://www.gogeometry.com/software/fractal_music_spectogram_granular_system_video.html</a></div>
<div><a href="http://www.gogeometry.com/software/math_music_spectrogram_beethoven_sonata.html">http://www.gogeometry.com/software/math_music_spectrogram_beethoven_sonata.html</a></div><div><a href="http://www.gogeometry.com/software/math_music_spectrogram_louis_armstrong.html">http://www.gogeometry.com/software/math_music_spectrogram_louis_armstrong.html</a></div>
<div><br></div><div>-- Niels</div><div><a href="http://nielsmayer.com">http://nielsmayer.com</a></div></div>