{"id":20801,"date":"2013-12-22T11:41:22","date_gmt":"2013-12-22T16:41:22","guid":{"rendered":"https:\/\/anglicansamizdat.net\/wordpress\/?p=20801"},"modified":"2013-12-22T11:51:51","modified_gmt":"2013-12-22T16:51:51","slug":"j-s-bachs-musical-offering-on-a-mobius-strip","status":"publish","type":"post","link":"https:\/\/www.anglicansamizdat.net\/wordpress\/j-s-bachs-musical-offering-on-a-mobius-strip\/","title":{"rendered":"J. S. Bach&#8217;s Musical Offering on a M\u00f6bius Strip"},"content":{"rendered":"<p>A <a href=\"http:\/\/en.wikipedia.org\/wiki\/Crab_canon\" target=\"_blank\"><b>crab canon<\/b><\/a>\u2014also known by the Latin form of the name, <i>canon cancrizans<\/i>\u2014is an arrangement of two musical lines that are complementary and backward, similar to a palindrome. Originally it is a musical term for a kind of <a title=\"Canon (music)\" href=\"http:\/\/en.wikipedia.org\/wiki\/Canon_%28music%29\" target=\"_blank\">canon<\/a> in which one line is reversed in time from the other (e.g. FABACEAE &lt;=&gt; EAECABAF). A famous example is found in J. S. Bach&#8217;s <i><a title=\"The Musical Offering\" href=\"http:\/\/en.wikipedia.org\/wiki\/The_Musical_Offering\" target=\"_blank\">The Musical Offering<\/a><\/i>, which also contains a canon (&#8220;Quaerendo invenietis&#8221;) combining <a title=\"Retrograde (music)\" href=\"http:\/\/en.wikipedia.org\/wiki\/Retrograde_%28music%29\" target=\"_blank\">retrogression<\/a> with <a title=\"Inversion (music)\" href=\"http:\/\/en.wikipedia.org\/wiki\/Inversion_%28music%29\" target=\"_blank\">inversion<\/a>, i.e., the music is turned upside down by one player &#8211; also known as a <a title=\"Table Canon\" href=\"http:\/\/en.wikipedia.org\/wiki\/Table_Canon\" target=\"_blank\">table canon<\/a>.<\/p>\n<p><iframe loading=\"lazy\" title=\"J.S. Bach - Crab Canon on a M\u00f6bius Strip\" width=\"584\" height=\"438\" src=\"https:\/\/www.youtube.com\/embed\/xUHQ2ybTejU?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<p>What is remarkable about this is that Bach makes something so intricately complex sound so sublime.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A crab canon\u2014also known by the Latin form of the name, canon cancrizans\u2014is an arrangement of two musical lines that are complementary and backward, similar to a palindrome. Originally it is a musical term for a kind of canon in &hellip; <a href=\"https:\/\/www.anglicansamizdat.net\/wordpress\/j-s-bachs-musical-offering-on-a-mobius-strip\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":3,"footnotes":""},"categories":[226],"tags":[1742,917,1741],"class_list":["post-20801","post","type-post","status-publish","format-standard","hentry","category-music","tag-crab-canon","tag-j-s-bach","tag-the-musical-offering"],"_links":{"self":[{"href":"https:\/\/www.anglicansamizdat.net\/wordpress\/wp-json\/wp\/v2\/posts\/20801","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.anglicansamizdat.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.anglicansamizdat.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.anglicansamizdat.net\/wordpress\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.anglicansamizdat.net\/wordpress\/wp-json\/wp\/v2\/comments?post=20801"}],"version-history":[{"count":0,"href":"https:\/\/www.anglicansamizdat.net\/wordpress\/wp-json\/wp\/v2\/posts\/20801\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.anglicansamizdat.net\/wordpress\/wp-json\/wp\/v2\/media?parent=20801"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.anglicansamizdat.net\/wordpress\/wp-json\/wp\/v2\/categories?post=20801"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.anglicansamizdat.net\/wordpress\/wp-json\/wp\/v2\/tags?post=20801"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}