{"id":1501,"date":"2013-08-14T10:42:30","date_gmt":"2013-08-14T17:42:30","guid":{"rendered":"http:\/\/www.garygarrett.me\/?p=1501"},"modified":"2017-08-30T15:13:53","modified_gmt":"2017-08-30T22:13:53","slug":"a-mirror-quad","status":"publish","type":"post","link":"https:\/\/www.garygarrett.me\/?p=1501","title":{"rendered":"A Mirror Quad"},"content":{"rendered":"<p>In the <a title=\"More Mirror Twins\" href=\"http:\/\/www.garygarrett.me\/?p=1477\">last few posts<\/a>, I&#8217;ve been exploring <a title=\"Mirror Twins\" href=\"http:\/\/www.garygarrett.me\/?p=1459\">mirror twins<\/a> &#8212; notes at the same <a title=\"Harmonic Distance\" href=\"http:\/\/www.garygarrett.me\/?p=1435\">harmonic distance<\/a>\u00a0from the center, but of opposite <a title=\"Polarity\" href=\"http:\/\/www.garygarrett.me\/?p=1484\">polarity<\/a>.<\/p>\n<p>The notes explored so far are 3\/1, 5\/1, 7\/1, 9\/1, and their <a href=\"http:\/\/www.mathsisfun.com\/reciprocal.html\">reciprocals<\/a>, 1\/3, 1\/5, 1\/7 and 1\/9. The 9\/1 and 1\/9 are made up of two legs on the lattice, x3 and x3.<\/p>\n<p>The next <a title=\"Polarity\" href=\"http:\/\/www.garygarrett.me\/?p=1484\">overtonal<\/a> note out from the center is the <a title=\"The Major Seventh\" href=\"http:\/\/www.garygarrett.me\/?p=390\">major seventh<\/a>, or 7. Its ratio is 15\/1, or x3, x5.<\/p>\n<p>The 7 has its mirror twin too, the <a title=\"The Minor Second\" href=\"http:\/\/www.garygarrett.me\/?p=521\">b2-<\/a>, at 112 cents. Its ratio is 1\/15.<\/p>\n<p>Here is how they sound:<\/p>\n<div class=\"entry-content-asset videofit\"><iframe loading=\"lazy\" title=\"Twin 7 b2\" width=\"720\" height=\"540\" src=\"https:\/\/www.youtube.com\/embed\/Njf5NcZX8Hs?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>For me, the pattern continues. The 7 is stable, but less so than the notes we&#8217;ve heard so far, and it&#8217;s getting dissonant as well, because it&#8217;s <a title=\"Consonance and Dissonance\" href=\"http:\/\/www.garygarrett.me\/?p=1380\">farther from the center<\/a>. The b2- is both dissonant and unstable.<\/p>\n<p>These notes each traverse two legs of the lattice, a 3 and a 5. The 7 is two legs &#8220;up,&#8221; or multiplying, and the b2- is two &#8220;down,&#8221; or dividing.<\/p>\n<p>What if one stick goes up and the other one down?<\/p>\n<p>These notes are the <a title=\"The Minor Third\" href=\"http:\/\/www.garygarrett.me\/?p=481\">minor third<\/a>, 3\/5, and the <a title=\"Mixed Messages\" href=\"http:\/\/www.garygarrett.me\/?p=413\">major sixth<\/a>, 5\/3. They are compounds of <a title=\"The Compass Points\" href=\"http:\/\/www.garygarrett.me\/?p=1273\">overtonal and reciprocal<\/a> energy.<\/p>\n<p>How will this affect stability and instability? I&#8217;ll guess that since 3 is a shorter distance than 5 is, and closer to the center means stronger gravity, the factor of 3 will dominate the blend.<\/p>\n<p>So 3\/5, the minor third, should lean toward the overtonal, and 5\/3, the major sixth, should lean toward the reciprocal.<\/p>\n<p>This hypothesis is supported by the long tradition that the minor third is a stable note, less so than the major third but OK to end a song with.<\/p>\n<div class=\"entry-content-asset videofit\"><iframe loading=\"lazy\" title=\"Twin b3 6\" width=\"720\" height=\"540\" src=\"https:\/\/www.youtube.com\/embed\/5yLiMyCWljs?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>That is indeed what I hear, although it&#8217;s less clear than it is with earlier intervals.<\/p>\n<p>All four of these intervals use the same prime factors, and cover the same harmonic distance. The difference between them is <a title=\"Polarity\" href=\"http:\/\/www.garygarrett.me\/?p=1484\">polarity<\/a>.<\/p>\n<p>Next:\u00a0<a href=\"http:\/\/www.garygarrett.me\/?p=1539\">One More Mirror Pair<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In the last few posts, I&#8217;ve been exploring mirror twins &#8212; notes at the same harmonic distance\u00a0from the center, but of opposite polarity. The notes explored so far are 3\/1, 5\/1, 7\/1, 9\/1, and their reciprocals, 1\/3, 1\/5, 1\/7 and 1\/9. The 9\/1 and 1\/9 are made up of two legs on the lattice, x3&#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,"_kad_post_classname":"","footnotes":""},"categories":[189,112,126,187],"tags":[30,298,84,85,19,39,27,254,132,244,241,18],"class_list":["post-1501","post","type-post","status-publish","format-standard","hentry","category-consonance-2","category-thelattice","category-the-notes","category-tonal-gravity","tag-animation","tag-book","tag-consonance","tag-dissonance","tag-harmony","tag-interval","tag-lattice","tag-major-sixth","tag-minor-third","tag-mirror-twins","tag-polarity","tag-stop-motion"],"_links":{"self":[{"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=\/wp\/v2\/posts\/1501","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=1501"}],"version-history":[{"count":7,"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=\/wp\/v2\/posts\/1501\/revisions"}],"predecessor-version":[{"id":2059,"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=\/wp\/v2\/posts\/1501\/revisions\/2059"}],"wp:attachment":[{"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1501"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1501"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1501"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}