{"id":247,"date":"2010-09-26T13:02:00","date_gmt":"2010-09-26T12:02:00","guid":{"rendered":"http:\/\/www.celesteh.com\/blog\/2010\/09\/26\/martin-carle-thomas-noll-fourier\/"},"modified":"2015-06-19T00:23:31","modified_gmt":"2015-06-18T23:23:31","slug":"martin-carle-thomas-noll-fourier","status":"publish","type":"post","link":"https:\/\/www.celesteh.com\/blog\/2010\/09\/26\/martin-carle-thomas-noll-fourier\/","title":{"rendered":"Martin Carl\u00e9 \/ Thomas Noll: Fourier-Scratching"},"content":{"rendered":"<p>More live blogging<br \/>\nThe legacy of Helmholtz.<br \/>\nthey&#8217;re using slow fourier transforms instead of fft.  sft!<br \/>\nthey&#8217;re running something very sci-fi-ish, playing FM synthesis.  (FM is really growing on me lately.)  FM is simple and easy, w only two oscillators, you get a lot of possible sounds.  They modulate the two modulators to forma sphere or something.  You can select the spheres.  They project the complex plane on the the sphere.<br \/>\nyou can change one Fourier thing and it changes the whole sphere.  (I think I missed an important step here of how the FM is mapped to the sphere and how changing the coefficients back to the FM.)<br \/>\n(Ok, I&#8217;m a bit lost.)<br \/>\n(I am still lost.)<br \/>\nFourier scratching: &#8220;you have a rhythm that you like, and you let it travel.&#8221;<br \/>\nOk the spheres are in fourier-domain \/ time-domain paris.  Something about the cycle of 5ths.  Now he&#8217;s changing the phase of the first coefficient.  Now there are different timbres, but the rhythm is not changing.<br \/>\n(I am still lost.  I should have had a second cup of coffee after lunch.)<br \/>\n(Actually, I frequently feel lost when people present on maths and the like associated with music.  Science \/ tech composers are often smarter than I am.)<br \/>\nyou can hear the coefficients, he says.  There&#8217;s a lot of beeping and some discussion in german between the presenters.  The example is starting to sound like you could dance to it, but a timbre is creeping up behind.  All this needs is some bass drums.<br \/>\nIf you try it out, he says, you&#8217;ll dig it.<br \/>\nFinite Fourier analysis with a time domain of 6 beats.  Each coefficient is represented by a little ball and the signal is looping on the same beat.  The loops move on a complex plane.  The magnitude represents something with fm?<br \/>\nthe extra dimension from Fourier is used to control any parameter.  It is a sonfication.  This approach could be used to control anything.  You could put a mixing board on the sphere.<br \/>\nJMC changed the definition to what t means to exponentiate.<br \/>\nRon Kuivila is offering useful feedback.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>More live blogging The legacy of Helmholtz. they&#8217;re using slow fourier transforms instead of fft. sft! they&#8217;re running something very sci-fi-ish, playing FM synthesis. (FM is really growing on me lately.) FM is simple and easy, w only two oscillators, you get a lot of possible sounds. They modulate the two modulators to forma sphere &hellip; <a href=\"https:\/\/www.celesteh.com\/blog\/2010\/09\/26\/martin-carle-thomas-noll-fourier\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Martin Carl\u00e9 \/ Thomas Noll: Fourier-Scratching<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"activitypub_content_warning":"","activitypub_content_visibility":"","activitypub_max_image_attachments":4,"activitypub_interaction_policy_quote":"anyone","activitypub_status":"","footnotes":""},"categories":[1],"tags":[76,54,64,90],"class_list":["post-247","post","type-post","status-publish","format-standard","hentry","category-uncategorised","tag-celesteh","tag-live-blog","tag-supercollider","tag-symposium"],"_links":{"self":[{"href":"https:\/\/www.celesteh.com\/blog\/wp-json\/wp\/v2\/posts\/247","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.celesteh.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.celesteh.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.celesteh.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.celesteh.com\/blog\/wp-json\/wp\/v2\/comments?post=247"}],"version-history":[{"count":1,"href":"https:\/\/www.celesteh.com\/blog\/wp-json\/wp\/v2\/posts\/247\/revisions"}],"predecessor-version":[{"id":2447,"href":"https:\/\/www.celesteh.com\/blog\/wp-json\/wp\/v2\/posts\/247\/revisions\/2447"}],"wp:attachment":[{"href":"https:\/\/www.celesteh.com\/blog\/wp-json\/wp\/v2\/media?parent=247"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.celesteh.com\/blog\/wp-json\/wp\/v2\/categories?post=247"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.celesteh.com\/blog\/wp-json\/wp\/v2\/tags?post=247"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}