<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE module PUBLIC "-//CNX//DTD CNXML 0.4 plus MathML//EN" "http://cnx.rice.edu/cnxml/0.4/DTD/cnxml_mathml.dtd">
<module xmlns="http://cnx.rice.edu/cnxml/0.4" xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="m10856">
  <name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">Minor Keys and Scales</name>
  <metadata xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">
  <md:version xmlns:m="http://www.w3.org/1998/Math/MathML">2.1</md:version>
  <md:created xmlns:m="http://www.w3.org/1998/Math/MathML">2002/09/18</md:created>
  <md:revised xmlns:m="http://www.w3.org/1998/Math/MathML">2002-12-03</md:revised>
  <md:authorlist xmlns:m="http://www.w3.org/1998/Math/MathML">
    <md:author xmlns:m="http://www.w3.org/1998/Math/MathML" id="Catherine">
      <md:firstname xmlns:m="http://www.w3.org/1998/Math/MathML">Catherine</md:firstname>
      <md:othername xmlns:m="http://www.w3.org/1998/Math/MathML">A.</md:othername>
      <md:surname xmlns:m="http://www.w3.org/1998/Math/MathML">Schmidt-Jones</md:surname>
      <md:email xmlns:m="http://www.w3.org/1998/Math/MathML">casjones@soltec.net</md:email>
    </md:author>
  </md:authorlist>

  <md:maintainerlist xmlns:m="http://www.w3.org/1998/Math/MathML">
    <md:maintainer xmlns:m="http://www.w3.org/1998/Math/MathML" id="Catherine">
      <md:firstname xmlns:m="http://www.w3.org/1998/Math/MathML">Catherine</md:firstname>
      <md:othername xmlns:m="http://www.w3.org/1998/Math/MathML">A.</md:othername>
      <md:surname xmlns:m="http://www.w3.org/1998/Math/MathML">Schmidt-Jones</md:surname>
      <md:email xmlns:m="http://www.w3.org/1998/Math/MathML">casjones@soltec.net</md:email>
    </md:maintainer>
  </md:maintainerlist>
  
  

  <md:abstract xmlns:m="http://www.w3.org/1998/Math/MathML">(Blank Abstract)</md:abstract>
</metadata>


  <content xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">
    <section xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="s1">
    <name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">Music in a Minor Key</name>

    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="p1a">
    Music that is in a minor key is often described as sounding more solemn, sad, mysterious, or ominous than music that is in a major key. Listen to these examples, and see what you think.
(PUT audio examples here)
    </para>  

    </section> 
    <section xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="s2">
    <name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">Minor Scales</name>

    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="p2a">
Minor scales sound different from major scales because they are based on a different pattern of intervals. Just as it did in major scales, starting the pattern on a different note will give you a different <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">key signature</term>, a different set of sharps or flats. To create a minor scale, start on the <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" module="m10851" strength="9" target="p1a">tonic note</cnxn> and go up the scale using the interval pattern: <emphasis xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">whole step, half step, whole step, whole step, half step, whole step, whole step</emphasis>.
    </para>

    <figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="fig3a">
     <name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">Minor Scale Intervals</name>
     <media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" type="image/gif" src="3a.gif"/>
    </figure>

    <exercise xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="exer2a">
    <problem xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">
    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="prob2a">
Write an A minor and a G minor scale, beginning on the notes indicated.
    </para>

    <figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="fig3p">
     <media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" type="image/gif" src="3p.gif"/>
    </figure>
    </problem>

    <solution xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">
     <figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="fig3b">
      <media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" type="image/gif" src="3b.gif"/>
     </figure>
    </solution>
    </exercise>

    <exercise xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="exer2b">
    <problem xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">
    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="prob2b">
Write a Bb minor and a C# minor scale.
    </para>

    <figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="fig3q">
     <media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" type="image/gif" src="3q.gif"/>
    </figure>
    </problem>

    <solution xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">
      <figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="fig3c">
       <media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" type="image/gif" src="3c.gif"/>
      </figure>
    </solution>
    </exercise>

    <exercise xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="exer2c">
    	<problem xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">
    		<para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="prob2c">
Write an F minor and a B minor scale in bass clef.
    		</para>
		<figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="fig3r">
			<media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" type="image/gif" src="3r.gif"/>
		</figure>
    	</problem>

    	<solution xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">
		<figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="fig3d">
			<media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" type="image/gif" src="3d.gif"/>
		</figure>
    	</solution>
    </exercise>

    </section>
    <section xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="s3">
    <name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">Relative Minor and Major Keys</name>

    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="p3a">
Because they follow a different interval pattern, C minor does not have the same key signature as C major. In fact, it has the same key signature as Eb major. Because they have the same key signature, C minor is called the <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">relative minor</term> of Eb major, and Eb major is the <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">relative major</term> of C minor. C is three half steps lower than Eb, and in fact <emphasis xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">a relative minor is always three half steps lower than its relative major</emphasis>.
     </para>

	<figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="fig3s">
		<media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" type="image/gif" src="3s.gif"/>
		<caption xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">The C major and C minor scales start on the same note, but have different key signatures. C minor and E flat major start on different notes, but have the same key signature. C minor is the <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">relative minor</term> of E flat major.</caption>
	</figure>

    <exercise xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="exer3a">
    <problem xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">
     <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="prob3a">
What are the relative majors of the minor keys in problems 1, 2, and 3 above?
      </para>
    </problem>
    <solution xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">
      <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="solu3a">
Problem 1:
A minor/C major, 
G minor/Bb Major. 
Problem 2: 
Bb minor/Db major, 
C# minor/E major. 
Problem 3: 
F minor/Ab major, 
B minor/D major. 
       </para>
    </solution>
    </exercise>

    </section>
    <section xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="s4">
    <name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">More Minor Scales</name>

    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="p4a">
All of the scales above are <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">natural minor scales</term>. They contain only the notes in the minor key signature. There are two other kinds of minor scales, both of which include notes that are not in the key signature. The <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">harmonic minor scale</term> raises the seventh note of the scale by one half step, whether you are going up or down the scale. Harmonies in minor keys do often use this raised seventh tone in order to make the music feel more strongly centered on the tonic. In the <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">melodic minor scale</term>, the sixth and seventh notes of the scale are each raised by one half step when going up the scale, but return to the natural minor when going down the scale. Melodies in minor keys do use this pattern of accidentals particularly often, so instrumentalists may find it useful to practice fingering melodic minor scales.
    </para>
	<figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="fig3e">
		<media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" type="image/gif" src="3e.gif"/>
	</figure>

    <exercise xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="exer4a">
    <problem xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">
    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="prob4a">
Rewrite each scale as indicated.
    </para>
	<figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" orient="vertical" id="figfghi">
		<subfigure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="figf">
			<media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" type="image/gif" src="3f.gif"/>
		</subfigure>
		<subfigure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="figg">
			<media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" type="image/gif" src="3g.gif"/>
		</subfigure>
		<subfigure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="figh">
			<media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" type="image/gif" src="3h.gif"/>
		</subfigure>
		<subfigure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="figi">
			<media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" type="image/gif" src="3i.gif"/>
		</subfigure>
	</figure>
    </problem>

    <solution xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML">
	<figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" orient="vertical" id="figjklm">
		<subfigure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="fig3j">
			<media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" type="image/gif" src="3j.gif"/>
		</subfigure>
		<subfigure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="fig3k">
			<media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" type="image/gif" src="3k.gif"/>
		</subfigure>
		<subfigure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="fig3l">
			<media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" type="image/gif" src="3l.gif"/>
		</subfigure>
		<subfigure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" id="fig3m">
			<media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" type="image/gif" src="3m.gif"/>
		</subfigure>
	</figure>
    </solution>

    </exercise>

    </section>
  </content>
  
</module>
