{"id":12462,"date":"2016-02-20T00:00:00","date_gmt":"2016-02-20T08:00:00","guid":{"rendered":"http:\/\/www.hearandplay.com\/main\/?p=12462"},"modified":"2024-10-14T05:59:50","modified_gmt":"2024-10-14T13:59:50","slug":"tritone-substitution-101","status":"publish","type":"post","link":"https:\/\/hearplaymain.wpenginepowered.com\/tritone-substitution-101\/","title":{"rendered":"Tritone Substitutions 101: Fifth vs Half Step Equivalence"},"content":{"rendered":"<p>In this post, I&#8217;ll be showing you the equivalence between fifths and half steps in chord progressions.<\/p>\n<p>We recently began a discussion on <a href=\"https:\/\/www.hearandplay.com\/main\/cyclical-progressions\">cyclical progressions<\/a> in a previous post where I showed you how we can create predictable chord progressions by root movements in fifths.<\/p>\n<h2>The 2-5-1 Progression: Cyclical Progression In Fifths<\/h2>\n<p>Using the musical clock:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.hearandplay.com\/main\/wp-content\/uploads\/2015\/03\/circleoffiths1.png\" alt=\"circleoffiths1\" class=\"aligncenter wp-image-9643\" height=\"320\" width=\"300\" \/><\/p>\n<p>Root movements follow the musical clock counter-clockwise (in fourths)&#8230;<\/p>\n<p>C to F:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=C,F,,&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\nF to Bb:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=F,Bb,,&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\nBb to Eb:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=Bb,Eb,&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\nEb to Ab:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,Eb,Ab,&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;and on and on.<\/p>\n<p>One classic example of cyclical progressions in fifths is the 2-5-1 chord progression. In the key of C major, the 2-5-1 chord progression is a root movement of D:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,D,&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;to G:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=G,,&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\nto C:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=C,,&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\nD to G is a downward movement of a fifth, and G to C is also a downward movement of a fifth.<\/p>\n<p>Suggested reading: <a href=\"https:\/\/www.hearandplay.com\/main\/nine-variations-of-the-2-5-1-progression\">Nine Variations of the 2-5-1 Chord Progression<\/a>.<\/p>\n<p>The strongest link of the 2-5-1 chord progression is the part that moves from chord 5 to chord 1 (aka &#8211; &#8220;5-1 chord progression&#8221;), which is typically a downward movement in a fifth.<\/p>\n<p>But in this post, I&#8217;ll be showing you an alternative way to move to the 1 chord.<\/p>\n<h2>Skeleton In The Chordboard<\/h2>\n<p>One of the most helpful things in chord recognition is the ability to master and remember the third and seventh (aka &#8211; &#8220;<a href=\"https:\/\/www.hearandplay.com\/main\/skeleton-in-the-chordboard\">the skeleton<\/a>&#8220;) of all chord qualities in all keys.<\/p>\n<p>Although this may take a considerable amount of time and effort, it is worth the time and effort.<\/p>\n<p>Suggested Reading: <a href=\"https:\/\/www.hearandplay.com\/main\/play-seventh-chords-with-two-notes\">How To Play Seventh Chords With Just Two Notes<\/a>.<\/p>\n<p>A chord&#8217;s skeleton consists of only the most important tones. These tones are considered important because the <em>quality<\/em> of the chord depends on them.<\/p>\n<p>In a 5-1 chord progression (which is the strongest link in the 2-5-1 chord progression) in the key of F major, chord 5 is the C dominant seventh:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,C,E,G,Bb,&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\nThe third and seventh tones of the C dominant seventh chord are E and Bb:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,E,Bb,&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;respectively.<\/p>\n<p>These tones make up the chord&#8217;s skeleton and to a large extent, are responsible for the quality of the chord being dominant. Heck, the skeleton of the C dominant seventh chord (and every other dominant seventh chord) is a diminished fifth (aka &#8211; &#8220;<a href=\"https:\/\/www.hearandplay.com\/main\/devil-music-tritones-vs-augmented-4ths-diminished-5ths\">tritone<\/a>&#8220;) interval.<\/p>\n<p>The diminished interval is one of harshest intervals in music and was once considered as <a href=\"https:\/\/www.hearandplay.com\/main\/devil-music-tritones-vs-augmented-4ths-diminished-5ths\">the devil in music<\/a> because of its high degree of instability.<\/p>\n<p><em>Unstable chords<\/em> in music tend to move towards stable ones. It is the instability of the dominant seventh chord (of the fifth degree) that pulls it towards chord 1.<\/p>\n<p>Summarily, the dominant seventh chord is a discord (a chord that sounds unpleasant) because its skeleton is <a href=\"https:\/\/www.hearandplay.com\/main\/forming-tritonic-chords-with-diminished-triads\">tritonic<\/a>.<\/p>\n<h2>Tritone Substitutions<\/h2>\n<p>In a 5-1 chord progression, it is possible to substitute chord 5 with another dominant seventh chord whose root is an augmented fourth lower.<\/p>\n<p>The enharmonic interval of the augmented fourth interval is the diminished fifth interval we mentioned earlier as the skeleton of the dominant seventh chord.<\/p>\n<p>Whether we say an &#8220;augmented fourth&#8221; or &#8220;diminished fifth&#8221; interval in music, both are related to the tritone. Check out this post on <a href=\"https:\/\/www.hearandplay.com\/main\/devil-music-tritones-vs-augmented-4ths-diminished-5ths\">augmented fourths and diminished fifths<\/a>.<\/p>\n<p><strong>Here&#8217;s a breakdown of the substitution in the key of C&#8230;<\/strong><\/p>\n<p>Instead of the regular 5-1 pull from the G dominant seventh chord:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=G,D,F,G,B,&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;to the C major seventh:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=C,C,E,G,B,&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;we&#8217;ll substitute the G dominant seventh chord with another dominant seventh chord whose root is an augmented fourth lower.<\/p>\n<p>An augmented fourth below G:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=G,,&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;is Db:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=Db,,&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\nTherefore, we&#8217;ll be substituting the G dominant seventh chord with the Db dominant seventh chord, whose root is an augmented fourth lower.<\/p>\n<p>Chord substitution is the use of a chord (related or foreign) to replace another chord. The goal of chord substitution is to create a more interesting and contrasting harmony.<\/p>\n<p>Simply because the augmented fourth is synonymous with the tritone, this substitution is called a <em>tritone substitution<\/em>.<\/p>\n<p>A tritone substitution is the substitution of a dominant seventh chord with another chord whose root is a tritone (augmented fourth) lower.<\/p>\n<p><strong>Attention:<\/strong> Intervals are the building block of chords. If you&#8217;re still wondering how we got Db as an augmented fourth interval below G, then you need to [thrive_2step id=&#8217;11353&#8242;]<span style=\"text-decoration: underline\"><span style=\"color: #0000ff;text-decoration: underline\">subscribe to our early bird list<\/span><\/span>[\/thrive_2step] to know when we&#8217;re releasing our latest comprehensive workbook on the study of intervals.<\/p>\n<h2><em>&#8220;Why Is It Possible To Make That Chord Substitution?&#8221;<\/em><\/h2>\n<p>The chord substitution we just did is possible because of the <a href=\"https:\/\/www.hearandplay.com\/main\/overcoming-illusion-enharmonic-intervals\">enharmonic relationship<\/a> between the skeleton of G dominant seventh and Db dominant seventh.<\/p>\n<p>Check it out.<\/p>\n<p>Here&#8217;s the G dominant seventh chord:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=G,G,B,D,F&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;and here&#8217;s the Db dominant seventh chord:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=Db,Db,F,Ab,Cb,&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;as well.<\/p>\n<p>Using the <a href=\"https:\/\/www.hearandplay.com\/main\/2-5-1-progression-b-voicing-technique-vs-skeleton-voicings\">A and B voicing concept<\/a>, we can play the G dominant seventh in B voicing:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=G,D,F,G,B,&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\n(In the B voicing of a chord, the notes are rearranged in such a way that the seventh comes before the third.)<\/p>\n<p>&#8230;and the A voicing of the Db dominant seventh chord:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=Db,Db,F,Ab,Cb,&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\nWhen both chords are played side by side with their root and fifth (G-D in the case of G dominant seventh and Db-Ab in the case of Db dominant seventh chord) removed, this leaves only their respective skeletons.<\/p>\n<p>The skeleton of the G dominant seventh chord in B voicing is F-B:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=G,F,B,&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;an <strong>augmented fourth<\/strong>.<\/p>\n<p>&#8230;while the skeleton of the Db dominant seventh chord is F-Cb:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=Db,,F,Cb,&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;a <strong>diminished fifth<\/strong>.<\/p>\n<p><strong>Treat as important&#8230; Inversion of Intervals:<\/strong><\/p>\n<p>All augmented fourth intervals, when inverted, become diminished fifth intervals.<\/p>\n<p>Inversion of F-B which is an augmented fourth would produce B-F:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,B,F&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;a diminished fifth interval.<\/p>\n<p>In the same vein, the inversion of F-Cb (a diminished fifth interval), would produce Cb-F:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,Cb,F&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;an augmented fourth interval.<\/p>\n<p>This is the relationship between the <a href=\"https:\/\/www.hearandplay.com\/main\/devil-music-tritones-vs-augmented-4ths-diminished-5ths\">tritone vs the augmented fourth and diminished fifth intervals<\/a>.<\/p>\n<p>For all intents and purposes, the F augmented fourth (F-B) and the F diminished fifth (F-Cb) are a tritone &#8211; <strong>three adjacent whole steps apart<\/strong>, irrespective of their harmonic role as the skeleton of the G dominant seventh chord and the Db dominant seventh chord.<\/p>\n<p>F-B and F-Cb are <a href=\"https:\/\/www.hearandplay.com\/main\/overcoming-illusion-enharmonic-intervals\">enharmonic intervals<\/a>.<\/p>\n<p>Owing to the enharmonic relationship between the skeleton of G dominant seventh chord (F-B) and that of the Db dominant seventh chord (F-Cb), this substitution can hold.<\/p>\n<h2>Final Words<\/h2>\n<p>There are several reasons why we can substitute the dominant seventh chord with another dominant seventh chord and here are two of them:<\/p>\n<h3>Fifth and Half Step Equivalence<\/h3>\n<p>Cyclical progressions feature a downward movement of the root of chords in fifths.<\/p>\n<p>If we put the concept of tritone substitution to work, we may not have to move in fifths, we&#8217;ll just achieve the same result by moving in half steps. Check this out&#8230;<\/p>\n<p>Instead of playing <em>&#8220;D minor seventh &#8211; G dominant seventh &#8211; C major seventh,&#8221;<\/em> where the root moves in descents of fifths, we&#8217;ll have a smoother root movement in half steps from the D minor seventh:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=D,D,F,A,C&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;to Db dominant seventh:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=Db,Db,F,Ab,Cb,&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;then to the C major seventh chord:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=C,C,E,G,B,&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\nUsing the concept of tritone substitution, we can make cyclical progressions move in half steps (D-Db-C) instead of in fifths (D-G-C) and still have the same result.<\/p>\n<h3>Altered Extensions<\/h3>\n<p>Use of the concept of tritone substitution adds the b9 and b5 tones (aka &#8211; &#8220;altered extensions&#8221;) to the basic dominant seventh chord.<\/p>\n<p>Further reading: <a href=\"https:\/\/www.hearandplay.com\/main\/ten-altered-chord-voicings\">Altered Chord Voicings<\/a>.<\/p>\n<p>Substituting the G dominant seventh chord:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=G,D,F,G,B,&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;with the Db dominant seventh chord:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=Db,Db,F,Ab,Cb,&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;in addition to the skeleton of the Db dominant seventh chord:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,F,Cb,&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;other tones &#8211; the root and fifth &#8211; are the b5:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,Db,&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;and the b9:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,Ab,&amp;color=0066FF&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;tones of the G altered chord. We&#8217;ll go into more details in another post.<\/p>\n<p>Until then.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this lesson, we&#8217;ll be exploring tritone substitutions and the importance of fifth and half step equivalence.<\/p>\n","protected":false},"author":9,"featured_media":22933,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[25,416,9],"tags":[700,120],"class_list":["post-12462","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-chords-progressions","category-experienced-players","category-piano","tag-tritone-substitutions","tag-tritones","post-wrapper","thrv_wrapper"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Tritone Substitutions 101: Fifth vs Half Step Equivalence - Hear and Play Music Learning Center<\/title>\n<meta name=\"description\" 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