{"id":391804,"date":"2017-03-30T02:00:00","date_gmt":"2017-03-29T23:00:00","guid":{"rendered":"https:\/\/www.fyysika.ee\/?guid=023743fced8da818c3735a4218f664b9"},"modified":"2017-03-30T02:00:00","modified_gmt":"2017-03-29T23:00:00","slug":"hearing-the-transformation-of-conical-to-closed-pipe-resonances-2","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=391804","title":{"rendered":"Hearing the transformation of conical to closed-pipe resonances"},"content":{"rendered":"<p>The harmonics for an open cone with slant length ##IMG##<br \/>\n[http:\/\/ej.iop.org\/images\/0031-9120\/52\/3\/035012\/pedaa64f1ieqn001.gif] {$L$} are the same as the<br \/>\nharmonics for an open pipe with length ##IMG##<br \/>\n[http:\/\/ej.iop.org\/images\/0031-9120\/52\/3\/035012\/pedaa64f1ieqn002.gif] {$L$} . When the cone is<br \/>\ntransformed through phases of closed\u2013open conical frusta into a cylinder of length ##IMG##<br \/>\n[http:\/\/ej.iop.org\/images\/0031-9120\/52\/3\/035012\/pedaa64f1ieqn003.gif] {$L$} closed at one end, the<br \/>\nfundamental halves and only odd harmonics remain. A simple approach using boundary conditions is<br \/>\npresented in order to understand this remarkable fact. A new free interactive HMTL5 application is<br \/>\nprovided which enables the user to hear the resonances of a complete cone transform into the pitches<br \/>\nof a conical frustum closed at the small end, and eventually into the odd harmonics of a closed<br \/>\ncylindrical pipe.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The harmonics for an open cone with slant length ##IMG##<br \/>\n[http:\/\/ej.iop.org\/images\/0031-9120\/52\/3\/035012\/pedaa64f1ieqn001.gif] {$L$} are the same as the<br \/>\nharmonics for an open pipe with length ##IMG##<br \/>\n[http:\/\/ej.iop.org\/images\/0031-9120\/52\/3\/035012\/p&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[178],"tags":[],"class_list":{"0":"post-391804","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-rss-fuusikaharidus","7":"entry"},"_links":{"self":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/391804","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=391804"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/391804\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=391804"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=391804"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=391804"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}