{"id":826,"date":"2013-02-08T15:40:31","date_gmt":"2013-02-08T23:40:31","guid":{"rendered":"http:\/\/www.garygarrett.me\/?p=826"},"modified":"2021-09-01T14:55:07","modified_gmt":"2021-09-01T21:55:07","slug":"the-untempered-chromatic-scale-part-2","status":"publish","type":"post","link":"https:\/\/www.garygarrett.me\/?p=826","title":{"rendered":"The Untempered Chromatic Scale (Part 2)"},"content":{"rendered":"<p>A closer look at the <a title=\"The Untempered Chromatic Scale (Part 1)\" href=\"http:\/\/www.garygarrett.me\/?p=810\">untempered 12-note scale<\/a>\u00a0reveals some interesting patterns.<\/p>\n<p>Here&#8217;s the scale on the lattice again. This time, I&#8217;ve colored the notes as follows:<\/p>\n<p>Red = notes from the central, <a title=\"The Untempered Chromatic Scale (Part 1)\" href=\"http:\/\/www.garygarrett.me\/?p=810\">Pythagorean<\/a> row, or spine, of the <a title=\"The Lattice\" href=\"http:\/\/www.garygarrett.me\/?p=342\">lattice<\/a>. They are generated by multiplying and dividing by 3.<\/p>\n<p>Green = notes from the next row up. These notes are a major third up from the ones on the central spine &#8212; you generate them by multiplying by 5.<\/p>\n<p>Blue = notes from the row below the central one. You make these by dividing by 5, which means they are a major third below.<\/p>\n<p><a href=\"http:\/\/www.garygarrett.me\/wp-content\/uploads\/2013\/02\/rgb-lattice.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-828 aligncenter\" src=\"http:\/\/www.garygarrett.me\/wp-content\/uploads\/2013\/02\/rgb-lattice.jpg\" alt=\"rgb lattice\" width=\"640\" height=\"480\" srcset=\"https:\/\/www.garygarrett.me\/wp-content\/uploads\/2013\/02\/rgb-lattice.jpg 640w, https:\/\/www.garygarrett.me\/wp-content\/uploads\/2013\/02\/rgb-lattice-300x225.jpg 300w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/a>Now here&#8217;s the scale again, colored the same way.<\/p>\n<p><a href=\"http:\/\/www.garygarrett.me\/wp-content\/uploads\/2013\/02\/colored-chromatic.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignright size-large wp-image-827\" src=\"http:\/\/www.garygarrett.me\/wp-content\/uploads\/2013\/02\/colored-chromatic-1024x139.jpg\" alt=\"colored chromatic\" width=\"1024\" height=\"139\" srcset=\"https:\/\/www.garygarrett.me\/wp-content\/uploads\/2013\/02\/colored-chromatic-1024x139.jpg 1024w, https:\/\/www.garygarrett.me\/wp-content\/uploads\/2013\/02\/colored-chromatic-300x40.jpg 300w, https:\/\/www.garygarrett.me\/wp-content\/uploads\/2013\/02\/colored-chromatic.jpg 1247w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/p>\n<p>Notes in red are tuned about the same as their <a href=\"http:\/\/en.wikipedia.org\/wiki\/Equal_temperament\">equal tempered<\/a> counterparts.<\/p>\n<p>Notes in green (the majors) are all flatter than ET.<\/p>\n<p>Notes in blue (the minors) are all sharper than ET.<\/p>\n<p>OK, so what? I can think of several immediate ways to use this information.<\/p>\n<p>If you are a singer\/guitar player, remember that you can only bend notes <em>up<\/em>. You can make your guitar playing sweeter if you:<\/p>\n<ul>\n<li>Avoid bending roots and fifths, play them right on the money<\/li>\n<li>Bend minor thirds slightly, and<\/li>\n<li>For sure don&#8217;t bend major notes. It actually helps to mute or avoid major thirds in your guitar playing, and leave those to the vocal. There are several ways to play a G chord, for example. Try singing a simple song in G (maybe <em>Silent Night<\/em> or <em>Ring of Fire<\/em>), using the classic G chord:<\/li>\n<\/ul>\n<p><a href=\"http:\/\/www.garygarrett.me\/wp-content\/uploads\/2013\/02\/G_major_chord_for_guitar_open.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-832 aligncenter\" src=\"http:\/\/www.garygarrett.me\/wp-content\/uploads\/2013\/02\/G_major_chord_for_guitar_open.png\" alt=\"G_major_chord_for_guitar_(open)\" width=\"150\" height=\"150\" \/><\/a><\/p>\n<p>There are two equal-tempered major thirds in this chord.<\/p>\n<p>Now try it fingering this way:<\/p>\n<p><a href=\"http:\/\/www.garygarrett.me\/wp-content\/uploads\/2013\/02\/G_major_chord_for_guitar_open_position_no_doubled_third.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-834 aligncenter\" src=\"http:\/\/www.garygarrett.me\/wp-content\/uploads\/2013\/02\/G_major_chord_for_guitar_open_position_no_doubled_third.png\" alt=\"G_major_chord_for_guitar_open_position_(no_doubled_third)\" width=\"150\" height=\"150\" \/><\/a>For even more clarity, mute the 5th string with your left hand, and there will be no major thirds in the chord at all. It is all G and D notes, roots and fifths. Can you feel the difference in your singing? There is a division of labor: the guitar plays the notes that are in tune in ET, and the voice sings the rest, including that major third. I think you will find it much easier to sing, like your voice falls into a pocket instead of fighting the intonation of the guitar.<\/p>\n<p>Gotta go, I have a show tonight, but I&#8217;ll have a lot more to say about this sort of thing. I do welcome comments and questions, there&#8217;s a <a title=\"Contact\" href=\"http:\/\/www.garygarrett.me\/?page_id=2111\">contact page<\/a> and you are invited to email me if you&#8217;d like to discuss this stuff.<\/p>\n<p>Next:\u00a0<a href=\"http:\/\/www.garygarrett.me\/?p=840\">An Easy Experiment To Try<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A closer look at the untempered 12-note scale\u00a0reveals some interesting patterns. Here&#8217;s the scale on the lattice again. This time, I&#8217;ve colored the notes as follows: Red = notes from the central, Pythagorean row, or spine, of the lattice. They are generated by multiplying and dividing by 3. Green = notes from the next row&#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":[112,126],"tags":[298],"class_list":["post-826","post","type-post","status-publish","format-standard","hentry","category-thelattice","category-the-notes","tag-book"],"_links":{"self":[{"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=\/wp\/v2\/posts\/826","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=826"}],"version-history":[{"count":10,"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=\/wp\/v2\/posts\/826\/revisions"}],"predecessor-version":[{"id":2133,"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=\/wp\/v2\/posts\/826\/revisions\/2133"}],"wp:attachment":[{"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=826"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=826"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.garygarrett.me\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=826"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}