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  <name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Beyond Triads: Naming Other Chords</name>
  <metadata xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
  <md:version xmlns:bib="http://bibtexml.sf.net/">1.10</md:version>
  <md:created xmlns:bib="http://bibtexml.sf.net/">2004/05/18 11:32:15 GMT-5</md:created>
  <md:revised xmlns:bib="http://bibtexml.sf.net/">2007/10/04 10:53:49.457 GMT-5</md:revised>
  <md:authorlist xmlns:bib="http://bibtexml.sf.net/">
      <md:author xmlns:bib="http://bibtexml.sf.net/" id="Catherine">
      <md:firstname xmlns:bib="http://bibtexml.sf.net/">Catherine</md:firstname>
      <md:othername xmlns:bib="http://bibtexml.sf.net/">A.</md:othername>
      <md:surname xmlns:bib="http://bibtexml.sf.net/">Schmidt-Jones</md:surname>
      <md:email xmlns:bib="http://bibtexml.sf.net/">casjones@soltec.net</md:email>
    </md:author>
  </md:authorlist>

  <md:maintainerlist xmlns:bib="http://bibtexml.sf.net/">
    <md:maintainer xmlns:bib="http://bibtexml.sf.net/" id="Catherine">
      <md:firstname xmlns:bib="http://bibtexml.sf.net/">Catherine</md:firstname>
      <md:othername xmlns:bib="http://bibtexml.sf.net/">A.</md:othername>
      <md:surname xmlns:bib="http://bibtexml.sf.net/">Schmidt-Jones</md:surname>
      <md:email xmlns:bib="http://bibtexml.sf.net/">casjones@soltec.net</md:email>
    </md:maintainer>
  </md:maintainerlist>
  
  <md:keywordlist xmlns:bib="http://bibtexml.sf.net/">
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">altered chords</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">bass notes</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">chords</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">chord symbols</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">diminished seventh</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">extended chords</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">half-diminished seventh</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">major seventh</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">minor seventh</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">seventh chords</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">suspended chords</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">suspensions</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">triads</md:keyword>
  </md:keywordlist>

  <md:abstract xmlns:bib="http://bibtexml.sf.net/">The name of a chord is determined by the relationship to the tonic of every note in the chord.</md:abstract>
</metadata>

  <content xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">

  <section xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="s0">
    <name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Introduction</name>
 
    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p0a">
Once you know how to name triads (please see <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10877">Triads</cnxn> and <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10890">Naming Triads</cnxn>), you need only a few more rules to be able to name all of the most common chords.
    </para>
    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p0b">This skill is necessary for those studying music theory. It's also very useful at a "practical" level for composers, arrangers, and performers (especially people playing chords, like pianists and guitarists), who need to be able to talk to each other about the chords that they are reading, writing, and playing. 
    </para>
    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p0c">Chord manuals, fingering charts, chord diagrams, and notes written out on a staff are all very useful, especially if the composer wants a very particular sound on a chord. But all you really need to know are the name of the chord, your <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10851">major scales</cnxn> and <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10856">minor scales</cnxn>, and a few rules, and you can figure out the notes in any chord for yourself. 
    </para>
    <list xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="l0a" type="enumerated"><name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">What do you need to know to be able to name most chords?</name>
<item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
You must know your major, minor, augmented and diminished triads. Either have them all memorized, or be able to figure them out following the rules for triads. (See <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10877">Triads</cnxn> and <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10890">Naming Triads</cnxn>.)
</item>
<item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
You must be able to find intervals from the <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10877">root</cnxn> of the chord. One way to do this is by using the rules for intervals. (See <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10867">Interval</cnxn>.) <emphasis xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Or</emphasis> if you know your scales and don't want to learn about intervals, you can use the method in #3 instead. 
</item>
<item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
If you know all your scales (always a good thing to know, for so many reasons), you can find all the intervals from the root using scales. For example, the "4" in Csus4 is the 4th note in a C (major or minor) scale, and the "minor 7th" in Dm7 is the 7th note in a D (natural) minor scale. If you would prefer this method, but need to brush up on your scales, please see <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10851">Major Keys and Scales</cnxn> and <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10856">Minor Keys and Scales</cnxn>.
</item>
<item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
You need to know the rules for the common <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" target="s1">seventh chords</cnxn>, for <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" target="s2">extending</cnxn> and <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" target="s6">altering</cnxn> chords, for <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" target="s2">adding notes</cnxn>, and for <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" target="s3">naming bass notes</cnxn>. The basic rules for these are all found below.
</item>
</list><para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="element-313"><note xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Please note that the modern system of chord symbols, discussed below, is very different from the <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">figured bass</term> shorthand popular in the seventeenth century (which is not discussed here). For example, the "6" in figured bass notation implies the first <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10877">inversion</cnxn> chord, not an added 6. (As of this writing, there was a very straightforward summary of figured bass at <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="http://www.ars-nova.com/cpmanual/realizeharmony.htm">Ars Nova Software</link>.)</note></para>


  </section>

  <section xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="s5">
    <name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Chord Symbols</name>
   <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p5a">Some instrumentalists, such as guitarists and pianists, are sometimes expected to be able to play a named chord, or an <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11654" target="l0c">accompaniment</cnxn> based on that chord, without seeing the notes written out in <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10880">common notation</cnxn>. In such cases, a <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">chord symbol</term> above the <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10880">staff</cnxn> tells the performer what chord should be used as accompaniment to the music until the next symbol appears. </para><figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="element-843"><name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Chord Symbols</name>
<media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="application/postscript" src="ChordSymbol-0.eps">
<media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="image/png" src="ChordSymbol.png"/>
</media>
<caption xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">A chord symbol above the staff is sometimes the only indication of which notes should be used in the <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11654" target="l0c">accompaniment</cnxn>. Chord symbols also may be used even when an accompaniment is written out, so that performers can read either the chord symbol or the notated music, as they prefer.</caption></figure><para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="element-359">There is widespread agreement on how to name chords, but there are several different systems for writing chord symbols. Unfortunately, this can be a little confusing, particularly when different systems use the same symbol to refer to different chords. If you're not certain what chord is wanted, you can get useful clues both from the notes in the music and from the other chord symbols used. (For example, if the "minus" chord symbol is used, check to see if you can spot any chords that are clearly labelled as either minor or diminished.)</para><figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="element-703"><name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Examples of Chord Symbol Variety</name>
<media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="application/postscript" src="ChordSymbols-0.eps">
<media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="image/png" src="Chordsymbols.png"/>
</media>
<caption xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">There is unfortunately a wide variation in the use of chord symbols. In particular, notice that some symbols, such as the "minus" sign and the triangle, can refer to different chords, depending on the assumptions of the person who wrote the symbol.</caption></figure>
  </section>

  <section xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="s1">
    <name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Seventh Chords</name>

    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p1a">If you take a basic <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10877">triad</cnxn> and add a note that is a <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10867" target="pexam1a">seventh</cnxn> above the <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10877">root</cnxn>, you have a <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">seventh chord</term>. There are several different types of seventh chords, distinguished by both the type of triad and the type of seventh used. Here are the most common.
    </para>

    <list xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="l1a"><name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Seventh Chords</name>
       <item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
Seventh (or "dominant seventh") chord = major triad + minor seventh
       </item>
       <item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
Major Seventh chord = major triad + major seventh
       </item>
       <item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
Minor Seventh chord = minor triad + minor seventh
       </item>
       <item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
Diminished Seventh chord = diminished triad + diminished seventh (half step lower than a minor seventh)
       </item>
       <item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
Half-diminished Seventh chord = diminished triad + minor seventh
       </item></list>

    <list xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="l1b"><name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">An easy way to remember where each seventh is:</name>
      <item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
The <emphasis xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">major seventh</emphasis> is one half step below the <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10862">octave</cnxn>.
      </item>
      <item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
The <emphasis xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">minor seventh</emphasis> is one half step below the major seventh.
      </item>
      <item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
The <emphasis xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">diminished seventh</emphasis> is one half step below the minor seventh.
      </item>
    </list>

    <figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="fig1a"><name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Common Seventh Chords</name>
        <media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="application/postscript" src="SeventhChords-0.eps">
        <media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="image/png" src="SeventhChords.png"/>
        </media></figure>

    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p1b">Listen to the differences between the <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="chodom7.mp3">C seventh</link>, <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="choM7.mp3">C major seventh</link>, <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="chomin7.mp3">C minor seventh</link>, <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="chodim7.mp3">C diminished seventh</link>, and <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="chohalfdim.mp3">C half-diminished seventh</link>.
    </para>

<exercise xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="element-367"><problem xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
		<para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="pprob1">Write the following seventh chords. If you need staff paper, you can print this <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="staffpaper1.pdf">PDF file</link>
		</para><list xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="element-774" type="enumerated"><item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">G minor seventh</item>
	<item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">E (dominant) seventh</item>
	<item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">B flat major seventh</item>
        <item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">D diminished seventh</item>
        <item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">F (dominant) seventh</item>
        <item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">F sharp minor seventh</item>
        <item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">G major seventh</item>
        <item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">B half-diminished seventh</item></list>
	</problem>

	<solution xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
		<figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="figsolv1"><media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="application/postscript" src="SeventhProb-0.eps">
<media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="image/png" src="SeventhProb.png"/>
		</media></figure>
	</solution>
</exercise><exercise xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="exer4d">
       <problem xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
         <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="prob4d">Write a Ddim7, Fdim7, G#dim7, and Bdim7. Look closely at the chords you have written and see if you can notice something surprising about them. (Hint: try rewriting the chords <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11641">enharmonically</cnxn> so that all the notes are either natural or (single) flat.
         </para>
       </problem>
       <solution xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
          <figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="fig4d"><media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="application/postscript" src="dim7chords-0.eps">
             <media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="image/png" src="dim7chords.png"/>
             </media>
          </figure>
       </solution>

    </exercise>

  </section>

  <section xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="s2">
     <name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Added Notes, Suspensions, and Extensions</name>

    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p2a">The seventh is not the only note you can add to a basic triad to get a new chord. You can continue to <emphasis xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">extend</emphasis> the chord by adding to the <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10877">stack of thirds</cnxn>, or you can <emphasis xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">add</emphasis> any note you want. The most common additions and extensions add notes that are in the scale named by the chord.
    </para>

    <figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="fig2a"><name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Extending and Adding Notes to Chords</name>
<media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="application/postscript" src="Addednotes-0.eps">
<media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="image/png" src="AddedNotes.png"/>
</media>
      <caption xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">To find out what to call a note added to a chord, count the notes of the scale named by the chord.</caption>
    </figure>

    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p2b">
The first, third, and fifth (1, 3, and 5) notes of the scale are part of the basic triad. So are any other notes in other octaves that have the same name as 1, 3, or 5. In a C major chord, for example, that would be any C naturals, E naturals, and G naturals. If you want to add a note with a different name, just list its number (its <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">scale degree</term>) after the name of the chord. 
    </para>

     <figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="fig2b"><name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Adding to and Extending Chords</name>
      <media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="application/postscript" src="Caddednote-0.eps">
      <media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="image/png" src="Caddnotes.png"/>
      </media>
      <caption xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Labelling a number as "sus" (suspended) implies that it replaces the chord tone immediately below it. Labelling it "add" implies that only that note is added. In many other situations, the performer is left to decide how to play the chord most effectively. Chord tones may or may not be left out. In an extended chord, all or some of the notes in the "stack of thirds" below the named note may also be added.</caption>
    </figure>
 
    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p2bb">Many of the higher added notes are considered <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">extensions</term> of the "stack of thirds" begun in the triad. In other words, a C13 can include (it's sometimes the performer's decision which notes will actually be played) the seventh, ninth, and eleventh as well as the thirteenth. Such a chord can be dominant, major, or minor; the performer must take care to play the correct third and seventh. If a chord symbol says to "add13", on the other hand, this usually means that only the thirteenth is added.
    </para>

    <figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="fig2bb"><name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">A Variety of Ninth Chords</name>
<media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="application/postscript" src="Cninths-0.eps">
<media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="image/png" src="Cninths.png"/>
</media>
    <caption xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Take care to use the correct third and seventh - dominant, major, or minor - with extended chords. If the higher note is labelled "add", don't include the chord extensions that aren't named.</caption></figure>

    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p2c"><note xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">All added notes and extensions, including sevenths, introduce <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11953">dissonance</cnxn> into the chord. In some modern music, many of these dissonances are heard as pleasant or interesting or jazzy and don't need to be resolved. However, in other styles of music, dissonances need to be <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11953" target="p0h">resolved</cnxn>, and some chords may be altered to make the dissonance sound less harsh (for example, by leaving out the 3 in a chord with a 4).
</note>
You may have noticed that, once you pass the octave (8), you are repeating the scale. In other words, C2 and C9 both add a D, and C4 and C11 both add an F. It may seem that C4 and C11 should therefore be the same chords, but in practice these chords usually do sound different; for example, performers given a C4 chord will put the added note near the bass note and often use it as a temporary replacement for the third (the "3") of the chord. On the other hand, they will put the added note of a C11 at the top of the chord, far away from the bass note and piled up on top of all the other notes of the chord (including the third), which may include the 7 and 9 as well as the 11. The result is that the C11 - an <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">extension</term> - has a more diffuse, jazzy, or impressionistic sound. The C4, on the other hand, has a more intense, needs-to-be-resolved, classic <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">suspension</term> sound. In fact, 2, 4, and 9 chords are often labelled <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">suspended</term> (sus), and follow the same rules for <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11953" target="p0h">resolution</cnxn> in popular music as they do in classical.
    </para>

     <figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="fig2c"><name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/"/>
      <media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="application/postscript" src="C4C11-0.eps">
      <media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="image/png" src="C4C11.png"/>
      </media>
      <caption xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Low-number added notes and high-number added notes are treated differently. So even though they both add an F, a <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="C4C.mid">C4 suspension</link> will sound quite different from a <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="C11.mid">C11</link> extended chord.</caption>
    </figure>

  </section>

  <section xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="s3">
    <name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Bass Notes</name>

    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p3a">
The <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11654" target="l0c">bass line</cnxn> of a piece of music is very important, and the composer/arranger often will want to specify what note should be the lowest-sounding in the chord. At the end of the chord name will be a slash followed by a note name, for example C/E. The note following the slash should be the bass note.
    </para>

    <figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="fig3a"><name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Naming the Bass Note</name>
       <media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="application/postscript" src="Caddedbass-0.eps">
       <media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="image/png" src="Caddedbass.png"/>
       </media>
       <caption xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">The note following the slash is the bass note of the chord. It can be a note that is already in the chord - making the chord a first or second <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10877" target="p2a">inversion</cnxn> - or it can be an added note, following the same basic rules as other added notes (including using it to replace other notes in the chord).
       </caption>
    </figure>

    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p3b">The note named as the bass note can be a note normally found in the chord - for example, C/E or C/G - or it can be an added note - for example C/B or C/A. If the bass note is not named, it is best to use the <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10851" target="p1a">tonic</cnxn> as the primary bass note.
    </para>

    <exercise xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="exer4a">
       <problem xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
          <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="prob4a">Name the chords. (Hint: Look for suspensions, added notes, extensions, and basses that are not the root. Try to identify the main triad or root first.)
          </para>
          <figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="fig4aa"><media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="application/postscript" src="NameChordProb-0.eps">
             <media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="image/png" src="NameChordProb.png"/>
             </media>
          </figure>
       </problem>
       <solution xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
          <figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="fig4ab"><media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="application/postscript" src="NameChordSolv-0.eps">
             <media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="image/png" src="NameChordSolv.png"/>
             </media>
          </figure>
       </solution>
    </exercise>

    <exercise xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="exer4c">
       <problem xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
         <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="prob4c">For guitarists, pianists, and other chord players: Get some practical practice. Name some chords you don't have memorized (maybe F6, Am/G, Fsus4, BM7, etc.). Chords with fingerings that you don't know but with a sound that you would recognize work best for this exercise. Decide what notes must be in those chords, find a practical fingering for them, play the notes and see what they sound like.
         </para>
       </problem>
       <solution xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
          <list xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="solv4c"><name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">You can check your work by</name> 
            <item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">listening to the chords to see if they sound correct
            </item>
            <item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">playing your chords for your teacher or other trained musician
            </item>
            <item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">checking your answers using a chord manual or chord diagrams</item>
          </list>
       </solution>
    </exercise>

  </section>

  <section xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="s6">
    <name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Altering Notes and Chords</name>

    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p6a">If a note in the chord is not in the major or minor scale of the <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10877">root</cnxn> of the chord, it is an <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">altered note</term> and makes the chord an <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">altered chord</term>. The alteration - for example "flat five" or "sharp nine" - is listed in the chord symbol. Any number of alterations can be listed, making some chord symbols quite long. <emphasis xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Alterations are not the same as <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10943" target="p0e">accidentals</cnxn>.</emphasis> Remember, a chord symbol always names notes in the scale of the chord <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10877">root</cnxn>, ignoring the <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10881">key signature</cnxn> of the piece that the chord is in, so the alterations are from the scale of the chord, not from the key of the piece.
    </para>

    <figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="fig6a"><name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Altered Chords</name>
<media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="application/postscript" src="Altered-0.eps">
      <media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="image/png" src="Altered.png"/>
</media>
    <caption xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">There is some variation in the chord symbols for altered chords. Plus/minus or sharp/flat symbols may appear before or after the note number. When sharps and flats are used, remember that the alteration is always from the scale of the chord root, not from the key signature.</caption></figure>

 

    <exercise xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="exer4b">
       <problem xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
         <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="prob4b">On a treble clef staff, write the chords named. You can print this <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="staffpaper1.pdf">PDF file</link> if you need staff paper for this exercise.</para><list xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="element-975" type="enumerated"><item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">D (dominant) seventh with a flat nine</item>
	<item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">A minor seventh with a flat five</item>
        <item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">G minor with a sharp seven</item>
        <item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">B flat (dominant) seventh with a sharp nine</item>
        <item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">F nine sharp eleven</item></list>
         
       </problem>
       <solution xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
          <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="element-406">Notice that a <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" target="l1a">half-diminished seventh</cnxn> can be (and sometimes is) written as it is here, as a minor seventh with flat five.</para><figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="fig4bb"><media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="application/postscript" src="Alteredprob-0.eps">
<media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="image/png" src="Alteredprob.png"/>
          </media></figure>

          
       </solution>
    </exercise>


  </section>

  </content>
  
</document>
