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  <name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Consonance and Dissonance</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/">1.9</md:version>
  <md:created xmlns:bib="http://bibtexml.sf.net/">2004/05/17 15:03:46 GMT-5</md:created>
  <md:revised xmlns:bib="http://bibtexml.sf.net/">2007/10/04 10:13:53.465 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/">chords</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">consonance</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">consonant</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">dissonance</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">dissonant</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">interval</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">music</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">tuning</md:keyword>
  </md:keywordlist>

  <md:abstract xmlns:bib="http://bibtexml.sf.net/">Consonance and dissonance are musical terms describing whether combinations of notes sound good together or not.</md:abstract>
</metadata>

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    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p0a">
Notes that sound good together when played at the same time are called <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">consonant</term>. Chords built only of consonances sound pleasant and "stable"; you can listen to one for a long time without feeling that the music needs to change to a different chord. Notes that are <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">dissonant</term> can sound harsh or unpleasant when played at the same time. Or they may simply feel "unstable"; if you hear a chord with a dissonance in it, you may feel that the music is pulling you towards the chord that <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">resolves</term> the dissonance. Obviously, what seems pleasant or unpleasant is partly a matter of opinion. This discussion only covers consonance and dissonance in <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11421">Western</cnxn> music.
   <note xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
For activities that introduce these concepts to young students, please see <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11999">Consonance and Dissonance Activities</cnxn>.
    </note>
    </para>   

    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p0b">
Of course, if there are problems with tuning, the notes will not sound good together, but this is not what consonance and dissonance are about. (Please note, though, that the choice of tuning system can greatly affect which intervals sound consonant and which sound dissonant! Please see <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11639" target="p11e">Tuning Systems</cnxn> for more about this.)
    </para>

    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p0c">Consonance and dissonance refer to <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10867">intervals</cnxn> and <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11654" target="l0b">chords</cnxn>. The <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">interval</term> between two notes is the number of <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10866">half steps</cnxn> between them, and all intervals have a name that musicians commonly use, like <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10867" target="list22a">major third</cnxn> (which is 4 half steps), <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10867" target="p21b">perfect fifth</cnxn> (7 half steps), or <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10862">octave</cnxn>. (See <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10867">Interval</cnxn> to learn how to determine and name the interval between any two notes.)
    </para>

    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p0d">An interval is measured between two notes. When there are more than two notes sounding at the same time, that's a <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">chord</term>. (See <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10877">Triads</cnxn>, <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10890">Naming Triads</cnxn>, and <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11995">Beyond Triads</cnxn> for some basics on chords.) Of course, you can still talk about the interval between any two of the notes in a chord.
    </para>

    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p0e">
The <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10867" target="p1b">simple intervals</cnxn> that are considered to be consonant are the <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="minorthird.mid">minor third</link>, <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="majorthird.mid">major third</link>, <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="fourth.mid">perfect fourth</link>, <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="fifth.mid">perfect fifth</link>, <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="minorsixth.mid">minor sixth</link>, <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="majorsixth.mid">major sixth</link>, and the <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="octave.mid">octave</link>.
    </para>

    <figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="fig0a"><name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Consonant Intervals</name>
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    </figure>

    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p0f">In modern <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11421">Western Music</cnxn>, all of these intervals are considered to be pleasing to the ear. Chords that contain only these intervals are considered to be "stable", restful chords that don't need to be <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" target="p0h">resolved</cnxn>. When we hear them, we don't feel a need for them to go to other chords.
    </para>

    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p0g">
The intervals that are considered to be dissonant are the <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="minorsecond.mid">minor second</link>, the <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="majorsecond.mid">major second</link>, the <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="minorseventh.mid">minor seventh</link>, the <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="majorseventh.mid">major seventh</link>, and particularly the <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="tritone.mid">tritone</link>, which is the interval in between the perfect fourth and perfect fifth.
    </para>

    <figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="fig0b"><name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Dissonant Intervals</name>
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    </figure>

    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p0h">
These intervals are all considered to be somewhat unpleasant or tension-producing. In <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11421" target="p7d">tonal music</cnxn>, chords containing dissonances are considered "unstable"; when we hear them, we expect them to move on to a more stable chord. Moving from a dissonance to the consonance that is expected to follow it is called <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">resolution</term>, or <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">resolving</term> the dissonance. The pattern of tension and release created by resolved dissonances is part of what makes a piece of music exciting and interesting. Music that contains no dissonances can tend to seem simplistic or boring. On the other hand, music that contains a lot of dissonances that are never resolved (for example, much of twentieth-century "classical" or "art" music) can be difficult for some people to listen to, because of the unreleased tension.
    </para>

    <figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="fig0c"><name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Resolving Dissonances</name>
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       <caption xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
In most music a dissonance will resolve; it will be followed by a consonant chord that it naturally leads to, for example a <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="GseventhC.mid">G seventh chord resolves to a C major chord</link>, and a <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="DsusD.mid">D suspended fourth resolves to a D major chord</link>. A series of <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="dissonant.mid">unresolved dissonances</link>, on the other hand, can produce a sense of unresolved tension.
       </caption>
    </figure>

    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p0i">
Why are some note combinations consonant and some dissonant? Preferences for certain sounds is partly cultural; that's one of the reasons why the traditional musics of various cultures can sound so different from each other. Even within the tradition of <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11421">Western music</cnxn>, opinions about what is unpleasantly dissonant have changed a great deal over the centuries. But consonance and dissonance do also have a strong physical basis in nature. 
    </para>

    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p0j">In simplest terms, the sound waves of consonant notes "fit" together much better than the sound waves of dissonant notes. For example, if two notes are an octave apart, there will be exactly two waves of one note for every one wave of the other note. If there are two and a tenth waves or eleven twelfths of a wave of one note for every wave of another note, they don't fit together as well. For much more about the physical basis of consonance and dissonance, see <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m13246">Acoustics for Music Theory</cnxn>, <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11118">Harmonic Series</cnxn>, and <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11639">Tuning Systems</cnxn>.
    </para>

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