{"id":1351,"date":"2010-08-09T21:36:30","date_gmt":"2010-08-09T19:36:30","guid":{"rendered":"http:\/\/macumbista.net\/?p=1351"},"modified":"2010-08-14T14:37:59","modified_gmt":"2010-08-14T12:37:59","slug":"testing-for-chaos","status":"publish","type":"post","link":"https:\/\/macumbista.net\/?p=1351","title":{"rendered":"Testing for Chaos"},"content":{"rendered":"<p><a href=\"http:\/\/macumbista.net\/wp-content\/uploads\/2010\/08\/feedback.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-1352\" title=\"chaos feedback\" src=\"http:\/\/macumbista.net\/wp-content\/uploads\/2010\/08\/feedback-400x277.png\" alt=\"\" width=\"400\" height=\"277\" srcset=\"https:\/\/macumbista.net\/wp-content\/uploads\/2010\/08\/feedback-400x277.png 400w, https:\/\/macumbista.net\/wp-content\/uploads\/2010\/08\/feedback.png 744w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/a><\/p>\n<p>The following are tests of the chaotic synthesis system I&#8217;m working on, and in no way should be considered &#8220;finished pieces&#8221;:<\/p>\n<p><em>*<a href=\"http:\/\/electro-music.com\/forum\/phpbb-files\/chaos01_828.mp3\">chaos01.mp3<\/a><\/em><\/p>\n<p><em>*<a href=\"http:\/\/electro-music.com\/forum\/phpbb-files\/chaos02_165.mp3\">chaos02.mp3<\/a><\/em><\/p>\n<p>Modules used in these recordings:<\/p>\n<p><a href=\"http:\/\/www.birthofasynth.com\/Thomas_Henry\/Pages\/XR-VCO.html\">Thomas Henry XR-2206 VCO<\/a> (Bugbrand PCB layout)(VCO range)<br \/>\nThomas Henry XR-2206 VCO  (Bugbrand PCB layout)(LFO range)<br \/>\n<a href=\"http:\/\/home.comcast.net\/~ijfritz\/ch_cir1.htm\">Ian Fritz EZ Chaos<\/a> (Uncle  Krunkus stripboard layout)<\/p>\n<p>In the first example, <em>chaos01.mp3<\/em>,  the triangle waveform of the LFO drives the EZ Chaos. The Z (marked NL  on schematic) output of the EZ Chaos drives the 1V\/Oct input of the VCO.  Both Drive and Rate pots are set about at the middle, and the Damping  is totally turned down. As you can hear, it maintains a very steady  modulation. The changes in modulation pattern only come from my manually  adjusting the LFO.<\/p>\n<p>In the second example, <em>chaos02.mp3<\/em>,  the poti settings and routing remain the same from <em>chaos01.mp3<\/em>. However, I have routed  the Y output to the Linear FM of the LFO, and the X output to the  Exponential FM of the LFO. The modulations become much more chaotic in  this setup. Through the clip, I adjust the depth of the LinFM, ExpFM and  the general rate of the LFO. Better, don&#8217;t you think?<\/p>\n<p>For me, the modulation patterns in <em>chaos01.mp3<\/em> sound to me like a  non-linear transfer function, but don&#8217;t sound chaotic at all in the  sense that the transfer function remains almost identical for every  cycle of the LFO at any frequency tested.<\/p>\n<p>My understanding of chaotic synthesis usually involves feedback between at least  two&#8211;but in my experiments up to 8&#8211;cross-modulated VCOs with a  non-linear function in the feedback loop. The results tend towards  certain attractors, but every cycle is distinct from the previous one,  even if after 3 or 7 or 15 cycles you might return to a common  origin.<\/p>\n<p>Assuming that my EZ Chaos circuit functions as it should, the benefit I  see out of it would be the ability to make chaotic patterns from a  single LFO through the feedback. Normally I would have to use 2 or more  LFOs to get the same kind of chaotic oscillations.<\/p>\n<p>However, by itself I don&#8217;t hear chaos coming from this circuit, only  non-linearity. It&#8217;s the feedback in <em>chaos02.mp3<\/em> that makes it chaotic for me. Looking  at a double well attractor on the scope is one thing, but hearing it is the proof&#8230;<\/p>\n<p>Updated info on the chaos circuit as well as some tuning tips can be found on the Elby Designs page for their <a href=\"http:\/\/www.elby-designs.com\/panther\/ed108-chaquo\/ed108.htm\">ED108-ChaQuO<\/a> module.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The following are tests of the chaotic synthesis system I&#8217;m working on, and in no way should be considered &#8220;finished pieces&#8221;: *chaos01.mp3 *chaos02.mp3 Modules used in these recordings: Thomas Henry XR-2206 VCO (Bugbrand PCB layout)(VCO range) Thomas Henry XR-2206 VCO (Bugbrand PCB layout)(LFO range) Ian Fritz EZ Chaos (Uncle Krunkus stripboard layout) In the first [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[24,49,15],"class_list":["post-1351","post","type-post","status-publish","format-standard","hentry","category-announcement","tag-audio","tag-chaos","tag-synthesizer"],"_links":{"self":[{"href":"https:\/\/macumbista.net\/index.php?rest_route=\/wp\/v2\/posts\/1351","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/macumbista.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/macumbista.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/macumbista.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/macumbista.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1351"}],"version-history":[{"count":10,"href":"https:\/\/macumbista.net\/index.php?rest_route=\/wp\/v2\/posts\/1351\/revisions"}],"predecessor-version":[{"id":1355,"href":"https:\/\/macumbista.net\/index.php?rest_route=\/wp\/v2\/posts\/1351\/revisions\/1355"}],"wp:attachment":[{"href":"https:\/\/macumbista.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1351"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/macumbista.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1351"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/macumbista.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1351"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}