<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE document PUBLIC "-//CNX//DTD CNXML 0.5//EN" "http://cnx.rice.edu/cnxml/0.5/DTD/cnxml_plain.dtd">
<document xmlns="http://cnx.rice.edu/cnxml" xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="m11953">
  <name>Consonance and Dissonance</name>
  <metadata>
  <md:version>1.9</md:version>
  <md:created>2004/05/17 15:03:46 GMT-5</md:created>
  <md:revised>2007/10/04 10:13:53.465 GMT-5</md:revised>
  <md:authorlist>
      <md:author id="Catherine">
      <md:firstname>Catherine</md:firstname>
      <md:othername>A.</md:othername>
      <md:surname>Schmidt-Jones</md:surname>
      <md:email>casjones@soltec.net</md:email>
    </md:author>
  </md:authorlist>

  <md:maintainerlist>
    <md:maintainer id="Catherine">
      <md:firstname>Catherine</md:firstname>
      <md:othername>A.</md:othername>
      <md:surname>Schmidt-Jones</md:surname>
      <md:email>casjones@soltec.net</md:email>
    </md:maintainer>
  </md:maintainerlist>
  
  <md:keywordlist>
    <md:keyword>chords</md:keyword>
    <md:keyword>consonance</md:keyword>
    <md:keyword>consonant</md:keyword>
    <md:keyword>dissonance</md:keyword>
    <md:keyword>dissonant</md:keyword>
    <md:keyword>interval</md:keyword>
    <md:keyword>music</md:keyword>
    <md:keyword>tuning</md:keyword>
  </md:keywordlist>

  <md:abstract>Consonance and dissonance are musical terms describing whether combinations of notes sound good together or not.</md:abstract>
</metadata>

  <content>

    <para id="p0a">
Notes that sound good together when played at the same time are called <term>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>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>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 document="m11421">Western</cnxn> music.
   <note>
For activities that introduce these concepts to young students, please see <cnxn document="m11999">Consonance and Dissonance Activities</cnxn>.
    </note>
    </para>   

    <para 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 document="m11639" target="p11e">Tuning Systems</cnxn> for more about this.)
    </para>

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

    <para 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>chord</term>. (See <cnxn document="m10877">Triads</cnxn>, <cnxn document="m10890">Naming Triads</cnxn>, and <cnxn 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 id="p0e">
The <cnxn document="m10867" target="p1b">simple intervals</cnxn> that are considered to be consonant are the <link src="minorthird.mid">minor third</link>, <link src="majorthird.mid">major third</link>, <link src="fourth.mid">perfect fourth</link>, <link src="fifth.mid">perfect fifth</link>, <link src="minorsixth.mid">minor sixth</link>, <link src="majorsixth.mid">major sixth</link>, and the <link src="octave.mid">octave</link>.
    </para>

    <figure id="fig0a"><name>Consonant Intervals</name>
        <media type="application/postscript" src="consonant-0.eps">
        <media type="image/png" src="consonant.png"/>
        </media>
    
    </figure>

    <para id="p0f">In modern <cnxn 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 target="p0h">resolved</cnxn>. When we hear them, we don't feel a need for them to go to other chords.
    </para>

    <para id="p0g">
The intervals that are considered to be dissonant are the <link src="minorsecond.mid">minor second</link>, the <link src="majorsecond.mid">major second</link>, the <link src="minorseventh.mid">minor seventh</link>, the <link src="majorseventh.mid">major seventh</link>, and particularly the <link src="tritone.mid">tritone</link>, which is the interval in between the perfect fourth and perfect fifth.
    </para>

    <figure id="fig0b"><name>Dissonant Intervals</name>
        <media type="application/postscript" src="dissonant-0.eps">
        <media type="image/png" src="Dissonant.png"/>
        </media>

    </figure>

    <para id="p0h">
These intervals are all considered to be somewhat unpleasant or tension-producing. In <cnxn 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>resolution</term>, or <term>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 id="fig0c"><name>Resolving Dissonances</name>
       <media type="application/postscript" src="resolve-0.eps">
       <media type="image/png" src="resolve.png"/>
       </media>
       <caption>
In most music a dissonance will resolve; it will be followed by a consonant chord that it naturally leads to, for example a <link src="GseventhC.mid">G seventh chord resolves to a C major chord</link>, and a <link src="DsusD.mid">D suspended fourth resolves to a D major chord</link>. A series of <link src="dissonant.mid">unresolved dissonances</link>, on the other hand, can produce a sense of unresolved tension.
       </caption>
    </figure>

    <para 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 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 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 document="m13246">Acoustics for Music Theory</cnxn>, <cnxn document="m11118">Harmonic Series</cnxn>, and <cnxn document="m11639">Tuning Systems</cnxn>.
    </para>

  </content>
  
</document>
