{"id":96736,"date":"2019-09-27T05:43:34","date_gmt":"2019-09-27T12:43:34","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2019\/09\/using-math-to-blend-musical-notes-seamlessly"},"modified":"2019-09-27T05:43:34","modified_gmt":"2019-09-27T12:43:34","slug":"using-math-to-blend-musical-notes-seamlessly","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2019\/09\/using-math-to-blend-musical-notes-seamlessly","title":{"rendered":"Using math to blend musical notes seamlessly"},"content":{"rendered":"<p><iframe style=\"display: block; margin: 0 auto; width: 100%; aspect-ratio: 4\/3; object-fit: contain;\" src=\"https:\/\/www.youtube.com\/embed\/gHBhMGbJHe8?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope;\n   picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<p>In music, \u201cportamento\u201d is a term that\u2019s been used for hundreds of years, referring to the effect of gliding a note at one pitch into a note of a lower or higher pitch. But only instruments that can continuously vary in pitch\u2014such as the human voice, string instruments, and trombones\u2014can pull off the effect.<\/p>\n<p>Now an MIT student has invented a novel algorithm that produces a portamento effect between any two audio signals in real-time. In experiments, the algorithm seamlessly merged various audio clips, such as a piano note gliding into a human voice, and one song blending into another. His paper describing the algorithm won the \u201cbest student paper\u201d award at the recent International Conference on Digital Audio Effects.<\/p>\n<p>The algorithm relies on \u201coptimal transport,\u201d a geometry-based framework that determines the most efficient ways to move objects\u2014or data points\u2014between multiple origin and destination configurations. Formulated in the 1700s, the framework has been applied to supply chains, fluid dynamics, image alignment, 3D modeling, <a href=\"https:\/\/techxplore.com\/tags\/computer+graphics\/\" rel=\"tag\" class=\"\">computer graphics<\/a>, and more.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In music, \u201cportamento\u201d is a term that\u2019s been used for hundreds of years, referring to the effect of gliding a note at one pitch into a note of a lower or higher pitch. But only instruments that can continuously vary in pitch\u2014such as the human voice, string instruments, and trombones\u2014can pull off the effect. Now [\u2026]<\/p>\n","protected":false},"author":534,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1523,41,2229,42],"tags":[],"class_list":["post-96736","post","type-post","status-publish","format-standard","hentry","category-computing","category-information-science","category-mathematics","category-media-arts"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/96736","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/534"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=96736"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/96736\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=96736"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=96736"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=96736"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}