{"id":469,"date":"2012-12-02T12:49:15","date_gmt":"2012-12-02T20:49:15","guid":{"rendered":"http:\/\/www.garygarrett.me\/?p=469"},"modified":"2017-08-18T09:29:43","modified_gmt":"2017-08-18T16:29:43","slug":"the-black-keys-the-flat-sixth","status":"publish","type":"post","link":"https:\/\/www.garygarrett.me\/?p=469","title":{"rendered":"Reciprocal Thirds"},"content":{"rendered":"<p>There are four basic moves available on the <a title=\"The Lattice\" href=\"http:\/\/www.garygarrett.me\/?p=342\">lattice of fifths and thirds<\/a>. They are:<\/p>\n<p><a title=\"Octave Reduction\" href=\"http:\/\/www.garygarrett.me\/?p=276\">Up a fifth<\/a> (x3)<\/p>\n<p><a title=\"A Reciprocal Note: The Fourth\" href=\"http:\/\/www.garygarrett.me\/?p=397\">Down a fifth<\/a> (\u00f73)<\/p>\n<p><a title=\"The Major Third\" href=\"http:\/\/www.garygarrett.me\/?p=292\">Up a major third<\/a> (x5)<\/p>\n<p>Down a major third (\u00f75)<\/p>\n<p>Each of these moves has its own harmonic flavor, and they can be combined to create new flavors.<\/p>\n<p>The major scale only uses the first three building blocks. What about the fourth one?<\/p>\n<p>The land of reciprocal thirds is where most of the black keys reside. It&#8217;s the world of minor tonality. Here is the sound of a pure reciprocal third:<\/p>\n<div class=\"entry-content-asset videofit\"><iframe loading=\"lazy\" title=\"Flat Sixth\" width=\"720\" height=\"540\" src=\"https:\/\/www.youtube.com\/embed\/qWyp-5VpDAc?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>The new note is a mirror of the 3, an upside-down 3. Its ratio is 1\/5, which can be octave-shifted to 8\/5. That ratio puts it a little over halfway up the scale, between the 5 and the 6. It&#8217;s called the minor sixth or flatted sixth; I use the symbol b6.<\/p>\n<p>There is a beautiful shift of feeling when you move from overtonal energy\u00a0to reciprocal and back again. To me it feels like breathing in and out. Maybe that&#8217;s because I play harmonica. When you blow on a few holes of a Marine Band, you get the 1 chord. When you draw, you get the 4. Breathing in and out takes you back and forth between reciprocal and overtonal territory.<\/p>\n<div class=\"entry-content-asset videofit\"><iframe loading=\"lazy\" title=\"Seesaw 4 5\" width=\"720\" height=\"540\" src=\"https:\/\/www.youtube.com\/embed\/JYqSf2H7lrA?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>The same action can happen on the 5-axis, with a more exotic flavor:<\/p>\n<div class=\"entry-content-asset videofit\"><iframe loading=\"lazy\" title=\"Seesaw b6 3\" width=\"720\" height=\"540\" src=\"https:\/\/www.youtube.com\/embed\/t3o8ZFlXBJc?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>Hear the shift? Overtonal, reciprocal, back again. Every note on the lattice except the 1 has its <a title=\"Mirror Twins\" href=\"http:\/\/www.garygarrett.me\/?p=1459\">mirror twin<\/a>.<\/p>\n<div>Next:\u00a0<a href=\"http:\/\/www.garygarrett.me\/?p=481\">The Minor Third<\/a><\/div>\n<div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>There are four basic moves available on the lattice of fifths and thirds. They are: Up a fifth (x3) Down a fifth (\u00f73) Up a major third (x5) Down a major third (\u00f75) Each of these moves has its own harmonic flavor, and they can be combined to create new flavors. The major scale only&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","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":[112],"tags":[298,90,88,37],"class_list":["post-469","post","type-post","status-publish","format-standard","hentry","category-thelattice","tag-book","tag-overtonal","tag-reciprocal","tag-third"],"_links":{"self":[{"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=\/wp\/v2\/posts\/469","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=469"}],"version-history":[{"count":10,"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=\/wp\/v2\/posts\/469\/revisions"}],"predecessor-version":[{"id":2019,"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=\/wp\/v2\/posts\/469\/revisions\/2019"}],"wp:attachment":[{"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=469"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=469"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=469"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}