{"id":2488,"date":"2024-05-17T10:46:00","date_gmt":"2024-05-17T08:46:00","guid":{"rendered":"https:\/\/reach.ircam.fr\/?p=2488"},"modified":"2024-12-09T10:59:58","modified_gmt":"2024-12-09T09:59:58","slug":"what-are-good-rhythms-generating-rhythms-based-on-the-properties-set-out-in-the-geometry-of-musical-rhythm","status":"publish","type":"post","link":"https:\/\/reach.ircam.fr\/index.php\/2024\/05\/17\/what-are-good-rhythms-generating-rhythms-based-on-the-properties-set-out-in-the-geometry-of-musical-rhythm\/","title":{"rendered":"What Are \u00ab\u00a0Good\u00a0\u00bb Rhythms? Generating Rhythms Based on the Properties Set Out in The Geometry of Musical Rhythm"},"content":{"rendered":"\n<p>By Paul Lascabettes, Isabelle Bloch.<\/p>\n\n\n\n<p>Mathematics and Computation in Music, Jun 2024, Coimbra, Portugal. pp.45-57.<\/p>\n\n\n\n<p><a href=\"https:\/\/hal.science\/hal-04579586v1\/file\/MCM_2024.pdf\">Read full publication.<\/a><\/p>\n\n\n\n<p><strong>Abstract<\/strong>: We propose in this article to generate good rhythms from geometric properties. This approach is based on the work by Toussaint, who investigated the properties that make a \u201cgood\u201d rhythm good in his book The Geometry of Musical Rhythm. To do this, he analyzed the shapes of polygons corresponding to certain rhythms to derive geometric properties of a good rhythm. In this article, we propose to quantify these properties using original mathematical formulas. This scores each rhythm against several properties to measure how good a rhythm is, resulting in the generation of rhythms with k onsets and n pulses. When k = 5 and n = 16, we reveal that the son rhythm obtains the best score, as predicted by Toussaint at the end of his book. Applying the method for other values of k and n, we demonstrate that some of the rhythms with the highest scores are musically important rhythms, such as the tresillo rhythm with k = 3 and n = 8, the fume-fume rhythm with k = 5 and n = 12, the samba rhythm with k = 7 and n = 16 or the Steve Reich\u2019s signature rhythm with k = 8 and n = 12.<\/p>\n\n\n\n<p><a href=\"https:\/\/hal.science\/hal-04579586v1\/file\/MCM_2024.pdf\">Read full publication.<\/a><\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>By Paul Lascabettes, Isabelle Bloch. Mathematics and Computation in Music, Jun 2024, Coimbra, Portugal. pp.45-57. Read full publication. Abstract: We propose in this article to generate good rhythms from geometric properties. This approach is based on the work by Toussaint, who investigated the properties that make a \u201cgood\u201d rhythm good in his book The Geometry [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":2489,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[46],"tags":[],"class_list":["post-2488","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-publications-research"],"aioseo_notices":[],"blog_post_layout_featured_media_urls":{"thumbnail":["https:\/\/reach.ircam.fr\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-105859-150x150.png",150,150,true],"full":["https:\/\/reach.ircam.fr\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-105859.png",983,839,false]},"categories_names":{"46":{"name":"Publications","link":"https:\/\/reach.ircam.fr\/index.php\/category\/research\/publications-research\/"}},"tags_names":[],"comments_number":"0","wpmagazine_modules_lite_featured_media_urls":{"thumbnail":["https:\/\/reach.ircam.fr\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-105859-150x150.png",150,150,true],"cvmm-medium":["https:\/\/reach.ircam.fr\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-105859-300x300.png",300,300,true],"cvmm-medium-plus":["https:\/\/reach.ircam.fr\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-105859-305x207.png",305,207,true],"cvmm-portrait":["https:\/\/reach.ircam.fr\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-105859-400x600.png",400,600,true],"cvmm-medium-square":["https:\/\/reach.ircam.fr\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-105859-600x600.png",600,600,true],"cvmm-large":["https:\/\/reach.ircam.fr\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-105859.png",983,839,false],"cvmm-small":["https:\/\/reach.ircam.fr\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-105859-130x95.png",130,95,true],"full":["https:\/\/reach.ircam.fr\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-105859.png",983,839,false]},"_links":{"self":[{"href":"https:\/\/reach.ircam.fr\/index.php\/wp-json\/wp\/v2\/posts\/2488","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/reach.ircam.fr\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/reach.ircam.fr\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/reach.ircam.fr\/index.php\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/reach.ircam.fr\/index.php\/wp-json\/wp\/v2\/comments?post=2488"}],"version-history":[{"count":1,"href":"https:\/\/reach.ircam.fr\/index.php\/wp-json\/wp\/v2\/posts\/2488\/revisions"}],"predecessor-version":[{"id":2490,"href":"https:\/\/reach.ircam.fr\/index.php\/wp-json\/wp\/v2\/posts\/2488\/revisions\/2490"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/reach.ircam.fr\/index.php\/wp-json\/wp\/v2\/media\/2489"}],"wp:attachment":[{"href":"https:\/\/reach.ircam.fr\/index.php\/wp-json\/wp\/v2\/media?parent=2488"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/reach.ircam.fr\/index.php\/wp-json\/wp\/v2\/categories?post=2488"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/reach.ircam.fr\/index.php\/wp-json\/wp\/v2\/tags?post=2488"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}