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  <name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Indian Classical Music: Tuning and Ragas</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/">1.5</md:version>
  <md:created xmlns:bib="http://bibtexml.sf.net/">2004/11/22 12:51:41 US/Central</md:created>
  <md:revised xmlns:bib="http://bibtexml.sf.net/">2008/07/01 10:02:26.568 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>
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    <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>
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  <md:keywordlist xmlns:bib="http://bibtexml.sf.net/">
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">Hindustani</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">India</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">Indian Classical music</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">Indian music</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">just intonation</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">raga</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">shruti</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">swara</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">taanpura</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">tambura</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">tanpura</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">that</md:keyword>
  </md:keywordlist>

  <md:abstract xmlns:bib="http://bibtexml.sf.net/">For the Western listener, a basic introduction to the tuning and scales used in the classical music of India.</md:abstract>
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  <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">The music of India sounds quite exotic to most <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11421">Western</cnxn> audiences. Two major reasons for this are the differences between the two traditions in <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11639">tuning</cnxn> and <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11636">scales</cnxn>. The following is a very basic introduction to these differences, meant for someone who has a basic understanding of Western music theory but no knowledge of the Indian music tradition. For an introduction that concentrates on music appreciation and avoids music theory, please see <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m12502">Listening to Indian Classical Music</cnxn>. (For more about Western scales and tuning, 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>, <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10856">Minor Keys and Scales</cnxn>, and <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11639">Tuning Systems</cnxn>.) I believe the terms used here are from the Northern Indian (Hindustani) tradition. The Southern Indian (Karnatic) tradition, uses some different terms, but the fundamental ideas are the same.
    <note xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="Acknowledgment">Please note that, like many Western musicians, I know very little about the music of India, but would like to learn more. The information in this module was provided to me by Dr. S. S. Limaye, a professor of electronics at Ramdeobaba Engineering College and amateur musician. Any insights provided here are thanks to Dr. Limaye. Any errors due to misunderstanding are my own.</note>
    </para>   

  </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/">Ragas</name>

    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p2a">One reason that Indian music sounds so different to the Westerner is that the major/minor tonal system is not used.  <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11654">Harmony</cnxn>, and specifically the major/minor <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11421" target="s7">tonal</cnxn> system, has been the basic organizing principle in Western music - classical, folk, and popular - for centuries.  In this system, a piece of music is in a certain <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10851">key</cnxn>, which means it uses the notes of a particular <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10851">major</cnxn> or <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10856">minor</cnxn> scale.  The harmonies developed using those notes are an integral, basic part of the development and <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10842">form</cnxn> of the music.  Most of the complexity of Western music lies in its harmonies and <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11634">counterpoint</cnxn>. 
    </para>
    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p2b">
The music of India does not emphasize harmony and does not feature counterpoint. In fact, most Indian classical music features a single melody instrument (or voice) accompanied by <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11654" target="l0a">drone</cnxn> and <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11897" target="s14">percussion</cnxn>. There is no counterpoint and no <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11654" target="l0b">chord progression</cnxn> at all. Instead, the interest and complexity of this music lies in its <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11647">melodies</cnxn> and its <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11646">rhythms</cnxn>. (Just as Indian music can seem confusing to someone accustomed to listening for harmonic progressions, Western melodies, based on only two types of scales, and Western rhythms, based on only a few popular <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m12405">meters</cnxn>, may sound overly similar and repetitive to someone accustomed to Indian music.)
    </para>
    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p2c">Western music divides an <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10862" target="">octave</cnxn> into the twelve notes of the <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10866" target="p0bb">chromatic scale</cnxn>. But most pieces of music mainly use only seven of these notes, the seven notes of the <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10851">major</cnxn> or <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10856">minor</cnxn> key that the piece is in. Indian music also has an octave divided into twelve notes. These twelve notes are called <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">swaras</term>; they are not tuned like the notes of the chromatic scale (please see <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" target="s1">below</cnxn>). Also similarly to Western music, only seven notes are available for any given piece of music.
    </para>
    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p2d">But there are important differences, too. Western scales come in only two different "flavors": major and minor. The two are quite different from each other, but any major key sounds pretty much like any other major key, and any minor key sounds basically like every other minor key. This is because the relationships between the various notes of the scale are the same in every major key, and a different set of relationships governs the notes of every minor key. (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="m11643">Beginning Harmonic Analysis</cnxn> for more on this.)
    </para>
    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p2f">The seven-note <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">that</term>s of Indian music, on the other hand, come in many different "flavors". The <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10867">interval</cnxn> pattern varies from one <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">that</foreign> to the next, and so the relationships between the notes are also different. There are ten popular <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">that</foreign>s in North Indian music, and many more in South Indian. <note xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Although the first note of an Indian scale is often given as C, Indian <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">that</foreign>s and ragas are not fixed in <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10943">pitch</cnxn>; any raga may actually begin on any pitch. The important information about each <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">that</foreign> and <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">raga</foreign> "scale" is the pattern of <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10867">intervals</cnxn>, the (relative) relationship between the notes, not absolute <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11060">frequencies</cnxn>.</note>
    </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/">Some Example Thats</name><media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="image/png" src="IThats.png"/><caption xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
Here are the scale notes for some <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">that</foreign>s. For ease of comparison, it is assumed that each raga is beginning on a (Western) C. Notice that the pattern of half step, whole step, and minor third intervals is unique to each <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">that</foreign>. Do you notice anything else? (Answer is below, in the section on <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" target="s1">tuning</cnxn>.)
        </caption></figure>

    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p2e">Making for even more variety, a piece of Indian classical music may not even use all seven of the notes in the <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">that</foreign>. The music will be in a particular <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">raga</term>, which may use five, six, or all seven of the notes in the <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">that</foreign>. And a <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">that</foreign> can generate more than just three <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">raga</foreign>s (one <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11636" target="s1">pentatonic</cnxn>, one <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11636" target="s6">hexatonic</cnxn>, and one full <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">raga</foreign>).  <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Kalavati raga</foreign> (C, E flat, G, A, and B flat) and <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Shivranjani raga</foreign> (C, D, E flat, G, and A), for example, are two different pentatonic <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">raga</foreign>s derived from <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Kafi that</foreign>. Thus there are hundreds of <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">raga</foreign>s available, and a competent Indian musician is expected to be able to improvise in many of them.
    </para>
    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p2g">Furthermore, the <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">raga</foreign> is not just a collection of the notes that are allowed to be played in a piece of music. There are also rules for how the notes may be used; for example, the notes used in an ascending scale may be different from the notes in a descending scale. And the <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">raga</foreign> may even affect the tuning of the piece.
    </para>

  </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/">Tuning</name>

    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p1a">
The tuning of modern <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11421">Western Music</cnxn> is based on <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11639" target="s22">equal temperament</cnxn>; the <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10862" target="">octave</cnxn> is divided into twelve equally spaced <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10943">pitches</cnxn>. But this is not the only possible tuning system. Many other music traditions around the world use different tuning systems, and Western music in the past also used systems other than equal temperament. Medieval European music, for example, used <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11639" target="p12a">just intonation</cnxn>, which is based on a <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11639" target="s11">pure</cnxn> <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10867" target="p21a">perfect fifth</cnxn>. (Please see <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11639">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="p1b">
The preferred tuning system of a culture seems to depend in part on other aspects of that culture's music; its <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11645">texture</cnxn>, <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11636">scales</cnxn>, <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11647">melodies</cnxn>, <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11654">harmonies</cnxn>, and even its most common musical instruments. For example, <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11639" target="p12a">just intonation</cnxn> worked very well for medieval chant, which avoided thirds, emphasized fifths, and featured voices and instruments capable of small, quick adjustments in tuning. But <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11639" target="s22">equal temperament</cnxn> works much better for the keyboard instruments, <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10877">triadic</cnxn> harmonies, and quick <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11643" target="s4">modulations</cnxn> so common in modern Western music.
    </para>
    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p1c">
In India, the most common accompaniment instrument (as ubiquitous as pianos in Western music) is the <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">tanpura</term>. (There are several alternative spellings for this name in English, including <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">taanpura</term> and <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">tambura</term>.) This instrument is a <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11896" target="s21">chordophone</cnxn> in the lute family. It has four very long strings. The strings are softly plucked, one after the other. It takes about five seconds to go through the four-string cycle, and the cycle is repeated continuously throughout the music. The long strings continue to vibrate for several seconds after being plucked, and the <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11118">harmonics</cnxn> of the <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m12413" target="s2">strings</cnxn> interact with each other in complex ways throughout the cycle. The effect for the listener is not of individually-plucked strings. It is more of a shimmering and buzzing drone that is constant in <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10943">pitch</cnxn> but varying in <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11059">timbre</cnxn>. 
    </para>
    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p1d">And the constant pitches of that drone are usually a <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11639" target="s11">pure</cnxn> <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10867" target="p21a">perfect fifth</cnxn>. You may have noticed in the <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" target="fig2a">figure above</cnxn> that C and G are not flatted or sharped in any of <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">that</foreign>s. Assuming tuning in C (actual tuning varies), two of the strings of the <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">tanpura</foreign> are tuned to <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10862" target="p2b">middle C</cnxn>, and one to the C an <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10862">octave</cnxn> higher. The remaining string is usually tuned to a G (the perfect fifth). (If a pentatonic or hexatonic raga does not use the G, this string is tuned instead to an F. The pure perfect interval is still used however, and you may want to note that a perfect fourth is the <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10867" target="s3">inversion</cnxn> of a perfect fifth.) So a <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11639" target="p12a">just intonation</cnxn> system based on the pure fifth between C and G (or the pure fourth between C and F) works well with this type of drone. 
    </para>
    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p1e">
Pure intervals, because of their simple <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11118">harmonic</cnxn>  relationships, are very pleasing to the ear, and are used in many music traditions. But it is impossible to divide a pure octave into twelve equally spaced pitches while also keeping the pure fifth. So this brings up the question: where exactly are the remaining pitches? The answer, in Indian music, is: it depends on the <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">raga</foreign>.
    </para>
    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p1f">Indian music does divide the octave into twelve <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" target="p2c">swaras</cnxn>, corresponding to the Western chromatic scale. Also, just as only seven of the chromatic notes are available in a major or minor scale, only seven notes are available in each <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" target="p2f">that</cnxn>. But because just intonation is used, these notes are tuned differently from Western scales. For example, in Western music, the <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10867">interval</cnxn> between C and D is the same (one <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10866">whole tone</cnxn>) as the interval between D and E. In Indian tuning, the interval between C and D is larger than the interval between D and E. Using the simpler ratios of the <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11118">harmonic series</cnxn>, the <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11060" target="fig1b">frequency</cnxn> <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11808">ratio</cnxn> of the larger interval is about 9/8 (1.125); the ratio of the smaller interval is 10/9 (1.111). (For comparison, an equal temperament whole tone is about 1.122.) Western music theory calls the larger interval a <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11639" target="s12">major whole tone</cnxn> and the smaller one a <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11639" target="s12">minor whole tone</cnxn>. Indian music theory uses the concept of a <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">shruti</term>, which is an interval smaller than the intervals normally found between notes, similar to the concept of <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11639" target="p3d">cents</cnxn> in Western music. The major whole tone interval between C and D would be 4 <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">shruti</foreign>s; the minor whole tone between D and E would be 3 <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">shruti</foreign>s.</para>
    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p1g">In some <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">raga</foreign>s, some notes may be flattened or sharpened by one <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">shruti</foreign>, in order to better suit the mood and effect of that <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">raga</foreign>. So, for tuning purposes, the octave is divided into 22 <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">shruti</foreign>s. This is only for tuning, however; for any given <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" target="p2f">that</cnxn> or <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" target="2e">raga</cnxn>, only twelve specifically-tuned notes are available. The 22 <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">shruti</foreign>s each have a specific designation, and the <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10867">intervals</cnxn> between them are not equal; the frequency ratios between adjacent <foreign xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">shruti</foreign>s ranges from about 1.01 to about 1.04.
    </para>
    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p1h">In spite of the fact that these tunings are based on the physics of the <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11118">harmonic series</cnxn>, Indian music can sound oddly out of tune to someone accustomed to <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11639" target="s22">equal temperament</cnxn>, and even trained Western musicians may have trouble developing an <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m12401">ear</cnxn> for Indian tunings. As of this writing, one site devoted to helping Western listeners properly hear Indian tunings was <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="http://www.perfectthird.com">The Perfect Third</link>.
    </para>

  </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/">Note Names</name>

    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p3a">As mentioned above, Indian music, like Western music, recognizes seven notes that can be sharped or flatted to get twelve notes within each octave. A flatted note is called <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">komal</term>. A sharped note is called <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">teevra</term>. 
    </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/">Indian Note Names</name>
       <media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="image/png" src="indiannotes.png"/>
    <caption xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Since Indian scales are not fixed to particular <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11060">frequencies</cnxn>, remember that it is more accurate to consider these scale names as being compared to a "moveable do" system (in which "do" may be any note) than a "fixed do" (in which do is always the C as played on a Western piano).</caption></figure>

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