{"id":3826,"date":"2014-05-07T22:21:24","date_gmt":"2014-05-08T02:21:24","guid":{"rendered":"http:\/\/www.jimhaku.com\/blog\/?p=3826"},"modified":"2014-05-07T22:23:53","modified_gmt":"2014-05-08T02:23:53","slug":"numerical-notation-and-the-4ths-vs-5ths-paradox","status":"publish","type":"post","link":"https:\/\/www.jimhaku.com\/blog\/numerical-notation-and-the-4ths-vs-5ths-paradox\/","title":{"rendered":"Numerical Notation and the 4ths vs. 5ths Paradox"},"content":{"rendered":"<p>There&#8217;s a smart sounding title, wonder if I&#8217;ve got anything to back it up.<\/p>\n<p align=center><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.jimhaku.com\/blog\/wp-content\/uploads\/2014\/03\/24hr-clock.jpg\" alt=\"image courtesy internet clock store, whatever\" width=\"300\" height=\"300\" class=\"size-full wp-image-3727\" srcset=\"https:\/\/www.jimhaku.com\/blog\/wp-content\/uploads\/2014\/03\/24hr-clock.jpg 300w, https:\/\/www.jimhaku.com\/blog\/wp-content\/uploads\/2014\/03\/24hr-clock-150x150.jpg 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Here&#8217;s the clock again from <a href=\"https:\/\/www.jimhaku.com\/blog\/continuing-numerical-notion\/\" title=\"Continuing Numerical Notion\">last post<\/a>. The idea of naming the notes with numbers within an octave is dead simple. Scientifically speaking, two notes with a 2:1 ratio might as well be the same note.<\/p>\n<p><strong>YET, <\/strong><\/p>\n<p>It is not so. 0+5=the perfect 4th; 5+0(the octave above)=a perfect 5th. A simple counter-intuitive fact I have never heard explained or even alluded to in any music class or lesson. There are the Circle(s) of Fifths\/Fourths presented to be memorized, but never explained. (This post is no exception.) <i>But<\/i> the simpler image of the clock with numbers can help. The 5th is thought of as the center of the diatonic scale, but chromatically it is the tritone. From any numbered note, we can see its tritone directly opposite on the clockface. And the fourths and fifths are not merely about counting semitones but knowing which direction they are coming from and going. 5 places clockwise is the 4th and 7 is the 5th and vice versa. Then when you get into extended chords and intervals you can see the value of the 24hr clock. Memorizing these values is much simpler than letters with arbitrary accidentals. So there. <b>%<\/b><\/p>\n","protected":false},"excerpt":{"rendered":"<p>There&#8217;s a smart sounding title, wonder if I&#8217;ve got anything to back it up. Here&#8217;s the clock again from last post. The idea of naming the notes with numbers within an octave is dead simple. Scientifically speaking, two notes with a 2:1 ratio might as well be the same note. YET, It is not so. [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"activitypub_content_warning":"","activitypub_content_visibility":"","activitypub_max_image_attachments":4,"activitypub_interaction_policy_quote":"anyone","activitypub_status":"","footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[599],"tags":[635,636],"class_list":["post-3826","post","type-post","status-publish","format-standard","hentry","category-a0","tag-music-theory","tag-notation"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p1m3oy-ZI","_links":{"self":[{"href":"https:\/\/www.jimhaku.com\/blog\/wp-json\/wp\/v2\/posts\/3826","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.jimhaku.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.jimhaku.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.jimhaku.com\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.jimhaku.com\/blog\/wp-json\/wp\/v2\/comments?post=3826"}],"version-history":[{"count":7,"href":"https:\/\/www.jimhaku.com\/blog\/wp-json\/wp\/v2\/posts\/3826\/revisions"}],"predecessor-version":[{"id":3833,"href":"https:\/\/www.jimhaku.com\/blog\/wp-json\/wp\/v2\/posts\/3826\/revisions\/3833"}],"wp:attachment":[{"href":"https:\/\/www.jimhaku.com\/blog\/wp-json\/wp\/v2\/media?parent=3826"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.jimhaku.com\/blog\/wp-json\/wp\/v2\/categories?post=3826"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.jimhaku.com\/blog\/wp-json\/wp\/v2\/tags?post=3826"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}