{"id":1754,"date":"2013-10-27T13:26:17","date_gmt":"2013-10-27T20:26:17","guid":{"rendered":"http:\/\/www.garygarrett.me\/?p=1754"},"modified":"2017-08-30T15:44:42","modified_gmt":"2017-08-30T22:44:42","slug":"tonal-gravity-and-the-major-scale","status":"publish","type":"post","link":"https:\/\/www.garygarrett.me\/?p=1754","title":{"rendered":"Tonal Gravity and the Major Scale"},"content":{"rendered":"<p>In my <a title=\"Putting Some Numbers on Tonal Gravity\" href=\"http:\/\/www.garygarrett.me\/?p=1705\">last post<\/a>, I proposed a simple way to graph <a title=\"Tonal Gravity\" href=\"http:\/\/www.garygarrett.me\/?p=1076\">tonal gravity<\/a> against the octave.<\/p>\n<p><a title=\"Polarity\" href=\"http:\/\/www.garygarrett.me\/?p=1484\">Overtonal<\/a> notes, generated by multiplying, are restful, stable &#8212; they have positive <a title=\"Polarity\" href=\"http:\/\/www.garygarrett.me\/?p=1484\">polarity<\/a>, pulling toward the <a title=\"Home\" href=\"http:\/\/www.garygarrett.me\/?p=1262\">center<\/a>. <a title=\"The Compass Points\" href=\"http:\/\/www.garygarrett.me\/?p=1273\">Reciprocal<\/a> notes, generated by division, are restless, unstable &#8212; they push. I call this negative <a title=\"Polarity\" href=\"http:\/\/www.garygarrett.me\/?p=1484\">polarity<\/a>. Mixed-polarity notes have both, and I&#8217;ve chosen to simply add their overtonal and reciprocal components together to get the total polarity.<\/p>\n<p>Here again is the graph of the 13 most central notes of the lattice.<\/p>\n<p><a href=\"http:\/\/www.garygarrett.me\/wp-content\/uploads\/2013\/10\/Tonal-Gravity-13-01.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1738\" src=\"http:\/\/www.garygarrett.me\/wp-content\/uploads\/2013\/10\/Tonal-Gravity-13-01-1024x906.png\" alt=\"Tonal Gravity 13-01\" width=\"1024\" height=\"906\" srcset=\"https:\/\/www.garygarrett.me\/wp-content\/uploads\/2013\/10\/Tonal-Gravity-13-01-1024x906.png 1024w, https:\/\/www.garygarrett.me\/wp-content\/uploads\/2013\/10\/Tonal-Gravity-13-01-300x265.png 300w, https:\/\/www.garygarrett.me\/wp-content\/uploads\/2013\/10\/Tonal-Gravity-13-01.png 1200w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/p>\n<p>The stable notes are gravity wells, and the unstable ones are peaks. Melodies and harmonies dance in this gravity field. Higher points represent tension, lower ones resolution, and the lower they are, the more resolved and stable. The\u00a0<a title=\"The Tonic Major Chord\" href=\"http:\/\/www.garygarrett.me\/?p=374\">tonic major triad<\/a>, most stable of all, occupies the lowest spots &#8212; 1, 3 and 5.<\/p>\n<p>The polarity map of the <a title=\"The Major Scale\" href=\"http:\/\/www.garygarrett.me\/?p=451\">major scale<\/a>\u00a0looks like this:<\/p>\n<p><a href=\"http:\/\/www.garygarrett.me\/wp-content\/uploads\/2013\/10\/Tonal-Gravity-Major-Scale-01.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1756\" src=\"http:\/\/www.garygarrett.me\/wp-content\/uploads\/2013\/10\/Tonal-Gravity-Major-Scale-01.png\" alt=\"Tonal Gravity Major Scale-01\" width=\"1024\" height=\"907\" srcset=\"https:\/\/www.garygarrett.me\/wp-content\/uploads\/2013\/10\/Tonal-Gravity-Major-Scale-01.png 1024w, https:\/\/www.garygarrett.me\/wp-content\/uploads\/2013\/10\/Tonal-Gravity-Major-Scale-01-300x265.png 300w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a>The notes are all overtonal except the 4, which is <a title=\"Mirror Twins\" href=\"http:\/\/www.garygarrett.me\/?p=1459\">strongly reciprocal<\/a>, and the 6, which is mixed and slightly unstable.<\/p>\n<p>Here&#8217;s a split screen video showing the major scale, against a <a title=\"The Tonic\" href=\"http:\/\/www.garygarrett.me\/?p=187\">tonic<\/a> drone, on both the lattice and the octave. This is an example of how the lattice serves as a <a title=\"Rosetta Stone\" href=\"http:\/\/www.garygarrett.me\/?p=1048\">Rosetta Stone<\/a>, a translator between <a title=\"Melodic Space, Harmonic Space\" href=\"http:\/\/www.garygarrett.me\/?p=458\">harmonic and melodic space<\/a>.<\/p>\n<p>Can you hear the push\/pull quality of the notes? Each note has its own feeling against the steady 1.<\/p>\n<div class=\"entry-content-asset videofit\"><iframe loading=\"lazy\" title=\"TG Major Scale\" width=\"720\" height=\"405\" src=\"https:\/\/www.youtube.com\/embed\/9Ymbwg0PdNQ?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><\/div>\n<p>Next:\u00a0<a href=\"http:\/\/www.garygarrett.me\/?p=1763\">A Theory of Everything<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In my last post, I proposed a simple way to graph tonal gravity against the octave. Overtonal notes, generated by multiplying, are restful, stable &#8212; they have positive polarity, pulling toward the center. Reciprocal notes, generated by division, are restless, unstable &#8212; they push. I call this negative polarity. Mixed-polarity notes have both, and I&#8217;ve&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_kadence_starter_templates_imported_post":false,"_kad_post_transparent":"","_kad_post_title":"","_kad_post_layout":"","_kad_post_sidebar_id":"","_kad_post_content_style":"","_kad_post_vertical_padding":"","_kad_post_feature":"","_kad_post_feature_position":"","_kad_post_header":false,"_kad_post_footer":false,"footnotes":""},"categories":[189,120,112,187],"tags":[30,298,84,85,19,10,27,241,18],"class_list":["post-1754","post","type-post","status-publish","format-standard","hentry","category-consonance-2","category-justintonation","category-thelattice","category-tonal-gravity","tag-animation","tag-book","tag-consonance","tag-dissonance","tag-harmony","tag-just-intonation","tag-lattice","tag-polarity","tag-stop-motion"],"_links":{"self":[{"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=\/wp\/v2\/posts\/1754","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1754"}],"version-history":[{"count":3,"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=\/wp\/v2\/posts\/1754\/revisions"}],"predecessor-version":[{"id":2071,"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=\/wp\/v2\/posts\/1754\/revisions\/2071"}],"wp:attachment":[{"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1754"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1754"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1754"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}