{"id":16180,"date":"2017-01-30T00:00:00","date_gmt":"2017-01-30T08:00:00","guid":{"rendered":"http:\/\/www.hearandplay.com\/main\/?p=16180"},"modified":"2017-11-19T02:09:59","modified_gmt":"2017-11-19T10:09:59","slug":"an-introductory-lesson-on-the-figured-bass-notation","status":"publish","type":"post","link":"https:\/\/hearplaymain.wpenginepowered.com\/an-introductory-lesson-on-the-figured-bass-notation\/","title":{"rendered":"An Introductory Lesson On The Figured Bass Notation"},"content":{"rendered":"<p>In today&#8217;s lesson, we&#8217;ll be learning about the figured bass notation.<\/p>\n<p>The concept of the figured bass notation is not new because it dates back to a couple of centuries ago and so many classically trained musicians are aware of this concept.<\/p>\n<p>In addition to the importance of the figured bass notation, one of the reasons why we&#8217;re focusing on it in this lesson is to make it popular among musicians &#8211; especially those who play by the ear.<\/p>\n<h2>The Preliminaries<\/h2>\n<p>According to <strong>Jermaine Griggs<\/strong>, <em>&#8220;a chord is a collection of three or more related notes (agreeable or not) that are heard together.&#8221;<\/em><\/p>\n<p>Pursuant to traditional guidelines, the notes of a given chord (aka &#8211; &#8220;chord tones&#8221;) must be related by an underlying scale and a class of harmony.<\/p>\n<p>Using the C natural major scale:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,C,D,E,F,G,A,B,C&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;and harmony in third intervals (aka &#8211; &#8220;tertian harmony&#8221;) we can form a chord.<\/p>\n<p><em>&#8216;Check It Out&#8230;&#8221;<\/em><\/p>\n<p>Starting from any tone in the C natural major scale:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,C,D,E,F,G,A,B,C&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;let&#8217;s say C (which is the first tone):<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,C,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;a chord can be formed by stacking notes together in third intervals. A third interval above C:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,C,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;is E:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,E,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;and another third interval above E:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,E,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;is G:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,G,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\nAltogether, we have C, E, and G:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,C,E,G,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;and that&#8217;s the C major triad.<\/p>\n<p>The addition of other notes to the C major triad in third intervals, produces bigger chords known as seventh chords and extended chords.<\/p>\n<p>A third above the C major triad:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,C,E,G,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;is B:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,B,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\nAltogether, that&#8217;s the C major seventh chord:<\/p>\n<p>In the same vein, a third above the C major seventh chord:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,C,E,G,B,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;is D:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,,D&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\nAltogether, that&#8217;s the C major ninth chord:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,C,E,G,B,D&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;which is an extended chord.<\/p>\n<p>The minimum number of notes in a chord is three, and the interval between successive chord tones is basically third intervals. Chords that consist of three notes, with third intervals between successive chord tones are known as triads.<\/p>\n<p>The most popular triad is arguably the C major triad:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,C,E,G,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\nDue to the scale relationship between the tones of a chord (aka &#8211; &#8220;chord tones&#8221;), chord tones are associated with the ordinal numbers like first, third, and fifth.<\/p>\n<p>In the C major triad:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,C,E,G,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\nC:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,C,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;is the first.<\/p>\n<p>E:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,E,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;is the third.<\/p>\n<p>G:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,G,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;is the fifth.<\/p>\n<p>These ordinal numbers are derived from the underlying scale which is the C natural major scale:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,C,D,E,F,G,A,B,C&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230; where C, E, G are the first, third, and fifth tones.<\/p>\n<h2>The Concept Of The Figured Bass Notation<\/h2>\n<p>The figured bass notation is a system of chord notation where figures are added to bass lines to indicate the intended chord that a musician should harmonize a bass note with.<\/p>\n<p>For example, given D:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,D,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;as a bass note in the key of C natural major:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,C,D,E,F,G,A,B,C&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;does not always imply a D minor triad:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,D,F,A,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\nThe G major triad:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,D,G,B,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;can also be implied, and this is because the G major triad:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=G,B,D,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;has D (which is the given bass note):<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,D,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;as its fifth tone.<\/p>\n<p>So the use of the figured bass notation is to precisely state the intended harmony of a given bass note.<\/p>\n<h2>How The Figures Are Derived<\/h2>\n<p>The figures used in the figured bass concept are derived from the intervals between successive chord tones in the intended harmony.<\/p>\n<p><em>&#8220;Let&#8217;s Use The D Bass Note As A Case Study&#8230;&#8221;<\/em><\/p>\n<p>The D note:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=D,,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;can be used as the bass note for the D minor triad:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,D,F,A,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;and the G major triad:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,D,G,B,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n<em>&#8220;Let&#8217;s Derive The Figured Bass Notation For The D Minor Triad&#8230;&#8221;<\/em><\/p>\n<p>In the D minor triad:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,D,F,A,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;the interval from D to A:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,D,A,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;is a fifth (written as 5), while the interval from D to F:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,D,F,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;is a third (written as 3.)<\/p>\n<p>So, the figured bass notation that indicates that the D minor triad is the intended harmony when D is on the bass, is:<\/p>\n<blockquote><p>5<\/p>\n<p>3<\/p><\/blockquote>\n<p>A fifth and a third from the bass note realizes other chord tones in the intended harmony. A fifth from D (which is the bass note):<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,D,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;is A:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,A,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;and a third from D:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,D,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;is F:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,F,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\nAltogether, D, F, and A:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,D,F,A,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;produces the D minor triad (which is the intended harmony.)<\/p>\n<p><em>&#8220;Let&#8217;s Derive The Figured Bass Notation For The G Major Triad&#8230;&#8221;<\/em><\/p>\n<p>In the G major triad:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,D,G,B,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;the interval from D to B:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,D,B,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;is a sixth (written as 6), while the interval from D to G:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,D,G,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;is a fourth (written as 4.)<\/p>\n<p>So, the figured bass notation that indicates that the G major triad is the intended harmony when D is on the bass, is:<\/p>\n<blockquote><p>6<\/p>\n<p>4<\/p><\/blockquote>\n<p>A sixth and a fourth from the bass note realizes other chord tones in the intended harmony. A sixth from D (which is the bass note):<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,D,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;is B:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,B,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;and a fourth from D:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,D,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;is G:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,G,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\nAltogether, D, G, and B:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,D,G,B,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;produces the G major triad (which is the intended harmony.)<\/p>\n<h2>The Application Of The Figured Bass Notation<\/h2>\n<p>In the classification of chords according to width, there are basically three classes of chords:<\/p>\n<ul>\n<li>Triads<\/li>\n<li>Seventh chords<\/li>\n<li>Extended chords<\/li>\n<\/ul>\n<p>However, the concept of the figured bass notation can only be used in the notation of triads and seventh chords &#8211; which are within the compass of an octave.<\/p>\n<p>In a situation where a G dominant seventh chord is intended (in the key of C major), using F:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,F,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;as a bass note would entail the figuration below:<\/p>\n<blockquote><p>6<\/p>\n<p>4<\/p>\n<p>2<\/p><\/blockquote>\n<p>A sixth from F:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,F,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;is D:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,,D&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\nA fourth from F:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,F,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;is B:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,B,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\nA second from F:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,F,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;is G:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,G,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\nUsing the figuration below<\/p>\n<blockquote><p>6<\/p>\n<p>4<\/p>\n<p>2<\/p><\/blockquote>\n<p>&#8230;we were able to derive the intended harmony from the bass note given.<\/p>\n<h2>A Short Note On The Importance Of The Figured Bass Notation<\/h2>\n<p>The figured bass notation is useful for a variety of reasons and we&#8217;ll be considering that in yet another lesson. For now, it&#8217;s used to differentiate two diatonic chords that share the same bass note.<\/p>\n<p>Using the figured bass, you can tell when the bass note E:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,E,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;in the key of C major:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,C,D,E,F,G,A,B,C&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;implies an E minor triad:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,E,G,B,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;a C major triad:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,E,G,C&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;or an A minor triad:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,E,A,C&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n<strong>E &#8216;5-3&#8217;<\/strong> produces the E minor triad:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,E,G,B,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;because B (a fifth above E):<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,B,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;and G (a third above E):<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,G,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;are derived.<\/p>\n<p><strong>E &#8216;6-3&#8217;<\/strong> produces the C major triad:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,E,G,C&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;because C (a sixth above E):<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,,C&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;and G (a third above E):<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,G,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;are derived.<\/p>\n<p><strong>E &#8216;6-4&#8217;<\/strong> produces the A minor triad:<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,E,A,C&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;because C (a sixth above E):<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,,C&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;and A (a fourth above E):<br \/>\n<img decoding=\"async\" src=\"https:\/\/hearandplay.cc\/dynamic_image\/pianokeys.php?notes=,,A,&amp;color=&amp;size=2\" border=\"0\" \/><br \/>\n&#8230;are derived.<\/p>\n<h2>Final Words<\/h2>\n<p>I&#8217;m glad you&#8217;ve learned something about the figured bass notation in this introductory lesson.<\/p>\n<p>We&#8217;ll take our discussion to another level in subsequent lessons where we&#8217;ll outline and explore other areas the figured bass notation can be applied &#8211; especially in the area of chord formation.<\/p>\n<p>See you in the next lesson.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this lesson, we&#8217;re covering the basics of the figured bass notation, which is one of the most important chord notation techniques in classical music.<\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[416,9],"tags":[17,2042,2426],"class_list":["post-16180","post","type-post","status-publish","format-standard","hentry","category-experienced-players","category-piano","tag-basic-songs","tag-figured-bass","tag-figured-bass-notation","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>An Introductory Lesson On The Figured Bass Notation - Hear and Play Music Learning Center<\/title>\n<meta name=\"description\" content=\"In this lesson, we&#039;re covering the basics of the figured bass notation, which is one of the most important chord notation techniques in classical music.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, 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