24edo: Difference between revisions
Wikispaces>genewardsmith **Imported revision 140528891 - Original comment: ** |
Wikispaces>guest **Imported revision 150596455 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User: | : This revision was by author [[User:guest|guest]] and made on <tt>2010-06-26 01:56:32 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>150596455</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt></tt><br> | ||
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
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==As a temperament== | ==As a temperament== | ||
The [[Harmonic Limit|5-limit]] | The [[Harmonic Limit|5-limit]] approximations in 24-tone equal temperament are the same as those in 12-tone equal temperament, therefore 24-tone equal temperament offers nothing new as far as approximating the 5-limit is concerned. The 7th harmonic-based intervals (7:4, 7:5 and 7:6) are just as bad in 24-tET as in 12-tET, although they are approximated by different intervals. To achieve a satisfactory level of approximation while maintaining the 12 notes of 12-tET requires high-degree tunings like 72-tET, 84-tET or 156-tET. | ||
The 11th harmonic, and intervals derived from it, (11:10, 11:9, 11:8, 11:6, 12:11, 15:11, 16:11, 18:11, 20:11) are very well approximated in 24-tone equal temperament. The major fourth in 24-tET is 1.3 cents flatter than 11:8 and is almost indistinguishable from it. In addition, the interval approximating 11:9 is 7 steps which is exactly half a perfect fifth. Some good chords in 24-tET are (the numbers are degree numbers, e.g. 4 is a major second, 8 is a major third): | The 11th harmonic, and intervals derived from it, (11:10, 11:9, 11:8, 11:6, 12:11, 15:11, 16:11, 18:11, 20:11) are very well approximated in 24-tone equal temperament. The major fourth in 24-tET is 1.3 cents flatter than 11:8 and is almost indistinguishable from it. In addition, the interval approximating 11:9 is 7 steps which is exactly half a perfect fifth. Some good chords in 24-tET are (the numbers are degree numbers, e.g. 4 is a major second, 8 is a major third): | ||
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[[image:http://240edo.googlepages.com/2.jpg/2-custom;size:430,120.jpg align="center" caption="Sori,Koron" link="24edo"]] | [[image:http://240edo.googlepages.com/2.jpg/2-custom;size:430,120.jpg align="center" caption="Sori,Koron" link="24edo"]] | ||
=Scales / Modes= | |||
|||| ====24 tone modes:==== || | |||
|| {{**1 1 8 1 1 8 4**}} || Enharmonic Mixolydian || | |||
|| {{**1 8 1 1 8 4 1**}} || Enharmonic Lydian || | |||
|| {{**8 1 1 8 4 1 1**}} || Enharmonic Phrygian || | |||
|| {{**1 1 8 4 1 1 8**}} || Enharmonic Dorian || | |||
|| {{**1 8 4 1 1 8 1**}} || Enharmonic Hypolydian || | |||
|| {{**8 4 1 1 8 1 1**}} || Enharmonic Hypophrygian || | |||
|| {{**4 1 1 8 1 1 8**}} || Enharmonic Hypodorian || | |||
|| {{**2 3 5 2 3 5 4**}} || Soft Diatonic Mixolydian || | |||
|| {{**3 5 2 3 5 4 2**}} || Soft Diatonic Lydian || | |||
|| {{**5 2 3 5 4 2 3**}} || Soft Diatonic Phrygian || | |||
|| {{**2 3 5 4 2 3 5**}} || Soft Diatonic Dorian || | |||
|| {{**3 5 4 2 3 5 2**}} || Soft Diatonic Hypolydian || | |||
|| {{**5 4 2 3 5 2 3**}} || Soft Diatonic Hypophrygian || | |||
|| {{**4 2 3 5 2 3 5**}} || Soft Diatonic Hypodorian || | |||
|| {{**3 3 4 3 3 4 4**}} || Maqam Ouchairan-Hussaini, Bayatan, Neutral Diatonic Mixolydian || | |||
|| {{**3 4 3 3 4 4 3**}} || Dastgah-e Sehgah, Neutral Diatonic Lydian || | |||
|| {{**4 3 3 4 4 3 3**}} || Arabic Diatonic, Maqam Rast, Quasi-equal Heptatonic, Neutral Diatonic Phrygian || | |||
|| {{**3 3 4 4 3 3 4**}} || Maqam Hussaini, Ushaq, Neutral Diatonic Dorian || | |||
|| {{**3 4 4 3 3 4 3**}} || Maqam Sikah (Segah), Neutral Diatonic Hypolydian || | |||
|| {{**4 4 3 3 4 3 3**}} || Neutral Diatonic Hypophrygian || | |||
|| {{**4 3 3 4 3 3 4**}} || Miha'il Musaqa's mode: Egypt, Neutral Diatonic Hypodorian, Dastgah-e Sehgah, Maqam Nairuz || | |||
|| {{**1 5 4 1 5 4 4**}} || Diatonic + Enharmonic Diesis Mixolydian || | |||
|| {{**5 4 1 5 4 4 1**}} || Diatonic + Enharmonic Diesis Lydian || | |||
|| {{**4 1 5 4 4 1 5**}} || Diatonic + Enharmonic Diesis Phrygian || | |||
|| {{**1 5 4 4 1 5 4**}} || Diatonic + Enharmonic Diesis Dorian || | |||
|| {{**5 4 4 1 5 4 1**}} || Diatonic + Enharmonic Diesis Hypolydian || | |||
|| {{**4 4 1 5 4 1 5**}} || Diatonic + Enharmonic Diesis Hypophrygian || | |||
|| {{**4 1 5 4 1 5 4**}} || Diatonic + Enharmonic Diesis Hypodorian || | |||
|| {{**1 3 6 1 3 6 4**}} || Chromatic/Enharmonic Mixolydian || | |||
|| {{**3 6 1 3 6 4 1**}} || Chromatic/Enharmonic Lydian || | |||
|| {{**6 1 3 6 4 1 3**}} || Chromatic/Enharmonic Phrygian || | |||
|| {{**1 3 6 4 1 3 6**}} || Chromatic/Enharmonic Dorian || | |||
|| {{**3 6 4 1 3 6 1**}} || Chromatic/Enharmonic Hypolydian || | |||
|| {{**6 4 1 3 6 1 3**}} || Chromatic/Enharmonic Hypophrygian || | |||
|| {{**4 1 3 6 1 3 6**}} || Chromatic/Enharmonic Hypodorian || | |||
|| {{**3 4 3 3 4 3 4**}} || Neutral Mixolydian || | |||
|| {{**4 3 3 4 3 4 3**}} || Neutral Lydian || | |||
|| {{**3 3 4 3 4 3 4**}} || Neutral Phrygian || | |||
|| {{**3 4 3 4 3 4 3**}} || Neutral Dorian, Misaelides 2nd Byzantine mode, Maqam Sikah Baladi || | |||
|| {{**4 3 4 3 4 3 3**}} || Neutral Hypolydian || | |||
|| {{**3 4 3 4 3 3 4**}} || Neutral Hypophrygian || | |||
|| {{**4 3 4 3 3 4 3**}} || Neutral Hypodorian || | |||
|| {{**3 5 2 4 3 5 2**}} || Athanasopoulos' Byzantine Liturgical Chromatic, Dastgah-e Chahargah || | |||
|| {{**4 2 4 4 3 3 4**}} || Dastgah-e Nava, Maqam Ushaq Masri || | |||
|| {{**2 7 1 4 2 7 1**}} || Second plagal Byzantine Liturgical mode || | |||
|| {{**5 5 4 5 5**}} || Quasi-equal Pentatonic || | |||
|| {{**3 3 4 4 2 4 4**}} || Maqam 'Ushshaq Turki, Urfa, Isfahan, Dastgah-e Shur || | |||
|| {{**3 3 4 4 2 1 3 4**}} || Maqam Bayati || | |||
|| {{**3 3 4 4 4 2 4**}} || Maqam Nahfat || | |||
|| {{**3 3 2 6 2 4 4**}} || Maqam Saba || | |||
|| {{**3 3 2 6 2 4 2 2**}} || Maqam Saba || | |||
|| {{**3 3 2 6 2 6 2**}} || Maqam Sabr Jadid || | |||
|| {{**3 3 2 2 4 3 3 4**}} || Maqam Mansuri || | |||
|| {{**4 3 3 4 2 6 2**}} || Maqam Suznak (Soznak) || | |||
|| {{**4 3 3 4 4 2 1 3**}} || Maqam Rast, Dilkashidah, Dilnishin || | |||
|| {{**4 3 3 4 4 4 2**}} || Maqam Mahur || | |||
|| {{**4 3 1 2 1 3 4 2 1 3**}} || Maqam Yakah || | |||
|| {{**4 3 1 2 4 4 2 4**}} || Maqam Suzidil 'ara || | |||
|| {{**3 3 4 2 6 2 4**}} || Maqam Qarjighar, Bayati Shuri || | |||
|| {{**3 4 2 2 2 2 2 4 3**}} || Maqam Huzam || | |||
|| {{**3 4 2 6 2 4 3**}} || Maqam Hizam (Huzam, El Houzam), Rahat al Arouah || | |||
|| {{**3 4 2 6 2 4 2 1**}} || Maqam Rahat al-Arwah || | |||
|| {{**3 4 3 3 4 4 2 1**}} || Maqam Iraq || | |||
|| {{**2 6 2 4 2 1 3 4**}} || Maqam Hijaz || | |||
|| {{**3 4 4 2 1 3 4 3**}} || Maqam Musta'ar || | |||
|| {{**3 4 4 4 2 4 2 1**}} || Maqam Farahnak || | |||
|| {{**3 4 3 3 2 6 2 1**}} || Maqam Bastanikar, Tarz Nuin || | |||
|| {{**4 2 6 2 4 2 1 3**}} || Maqam Farah Faza, Maqam Nakriz || | |||
|| {{**4 2 1 3 2 2 2 2 3 1 2**}} || Maqam Hayyan || | |||
|| {{**4 2 1 3 2 2 4 2 1 3**}} || Maqam Basandida || | |||
|| {{**4 4 2 1 3 2 2 4 2**}} || Maqam Shawq Afza || | |||
|| {{**2 1 3 2 2 4 2 4 2 2**}} || Maqam Shawq Tarab || | |||
|| {{**3 1 2 4 4 2 4 4**}} || Maqam Jabburi || | |||
|| {{**2 4 4 4 3 3 4**}} || Maqam Nawa || | |||
|| {{**2 5 3 4 2 5 3**}} || Maqam Higaz-kar || | |||
|| {{**3 4 4 2 4 4 3**}} || Maqam Su'ar, Naghmeh Abuata, Naghmeh Afshari || | |||
|| {{**4 4 2 4 4 3 3**}} || Maqam Jahargah (Jiharkah), Naghmeh Bayat-e Tork, Naghmeh Dashti || | |||
|| {{**3 5 2 4 2 4 4**}} || Dastgah-e Homayun || | |||
|| {{**4 2 4 4 3 5 2**}} || Naghmeh Esfahan || | |||
|| {{**3 6 1 5 2 6 1**}} || Maqam 'Awg 'ara (Aug-ara) || | |||
|| {{**4 1 5 4 2 6 2**}} || Maqam Buselik || | |||
|| {{**4 2 6 2 2 5 3**}} || Maqam Neuter || | |||
|| {{**2 8 3 6 5**}} || Anchihoye: Ethiopia || | |||
|| {{**4 3 3 4 4 2 4**}} || Dance scale of Yi people: China || | |||
|| {{**4 4 2 3 1 4 6**}} || Daniel-mode of Spanish-Arab Jews || | |||
|| {{**1 2 2 2 2 2 2 1 2 2 2 2 2**}} || de Vries 13-tone || | |||
|| {{**4 1 4 1 4 1 4 1 4**}} || de Vries 9-tone || | |||
|| {{**9 2 2 9 2**}} || de Vries 5-tone || | |||
|| {{**3 7 4 3 7**}} || Spondeion || | |||
|| {{**1 1 8 4 2 8**}} || Spondeiakos || | |||
|| {{**1 2 3 4 4 1 2 3 4**}} || Progressive Enneatonic || | |||
|| {{**2 3 2 3 2 2 3 2 3 2**}} || Young Decatonic || | |||
|| {{**2 2 1 2 2 2 1 2 2 1 2 2 2 1**}} || Young Half-Octave Diatonic || | |||
|| {{**3 1 3 3 3 1 3 3 1 3**}} || Breed Decatonic || | |||
|| {{**2 3 2 2 3 2 3 2 2 3**}} || Oljare Decatonic || | |||
|| {{**2 2 2 2 2 1 2 2 2 2 2 2 1**}} || Agmon Diatonic DS5 || | |||
=Instruments[[#instruments]]= | =Instruments[[#instruments]]= | ||
The ever-arising question in microtonal music, how to play it on instruments designed for 12edo, has a relatively simple answer in the case of 24edo: use two standard instruments tuned a quartertone apart. This [[Microtonal Keyboards#twelvenoteoctavescales|"12 note octave scales"]] approach is used in a wide part of the existing literature - see below. | The ever-arising question in microtonal music, how to play it on instruments designed for 12edo, has a relatively simple answer in the case of 24edo: use two standard instruments tuned a quartertone apart. This [[Microtonal Keyboards#twelvenoteoctavescales|"12 note octave scales"]] approach is used in a wide part of the existing literature - see below. | ||
[[image:http://www.swordguitars.com/Sword_quartertone_stratsm.jpg width="406" height="195"]]24-tone "1/4-tone" Guitar by Ron Sword / Sword guitars | |||
=Compositions= | =Compositions= | ||
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[[http://www.96edo.com/My_Music.html|Some microtonal music in 24-EDO]] by [[http://www.96edo.com/About_me.html|Shaahin Mohajeri]] | [[http://www.96edo.com/My_Music.html|Some microtonal music in 24-EDO]] by [[http://www.96edo.com/About_me.html|Shaahin Mohajeri]] | ||
[[http://en.wikipedia.org/wiki/List_of_quarter_tone_pieces|List of quartertone pieces on Wikipedia]] | [[http://en.wikipedia.org/wiki/List_of_quarter_tone_pieces|List of quartertone pieces on Wikipedia]] | ||
=Practical Theory / Books= | |||
[[image:http://ronsword.com/images/24_tet_Coversm.jpg width="179" height="236"]]**"Icosakaiteraphonic Scales for Guitar"** - A Book for Twenty-Four Equal Divisions of the Octave on guitar, or 'Quarter-tones'. Features a practical approach to understanding the tuning, and over 550 Scale Examples on Nine-String finger board charts, which allows for both symmetrical tuning visualization and standard guitar tuning- helpful for bassists and large range guitarists as well. Includes MOS, DE, and *all* the Scales / Modes from the list above. | |||
=External links= | =External links= | ||
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[[http://www.96edo.com/24_EDO.html|About 24-EDO]]</pre></div> | [[http://www.96edo.com/24_EDO.html|About 24-EDO]]</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>24edo</title></head><body><!-- ws:start:WikiTextTocRule: | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>24edo</title></head><body><!-- ws:start:WikiTextTocRule:20:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --><a href="#Theory">Theory</a><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --><!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --><!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --> | <a href="#Notation">Notation</a><!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --> | <a href="#Scales / Modes">Scales / Modes</a><!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --><!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --> | <a href="#Instruments">Instruments</a><!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --> | <a href="#Compositions">Compositions</a><!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --> | <a href="#Practical Theory / Books">Practical Theory / Books</a><!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --> | <a href="#External links">External links</a><!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:31 --><br /> | ||
<br /> | <br /> | ||
<hr /> | <hr /> | ||
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<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Theory-As a temperament"></a><!-- ws:end:WikiTextHeadingRule:4 -->As a temperament</h2> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Theory-As a temperament"></a><!-- ws:end:WikiTextHeadingRule:4 -->As a temperament</h2> | ||
<br /> | <br /> | ||
The <a class="wiki_link" href="/Harmonic%20Limit">5-limit</a> | The <a class="wiki_link" href="/Harmonic%20Limit">5-limit</a> approximations in 24-tone equal temperament are the same as those in 12-tone equal temperament, therefore 24-tone equal temperament offers nothing new as far as approximating the 5-limit is concerned. The 7th harmonic-based intervals (7:4, 7:5 and 7:6) are just as bad in 24-tET as in 12-tET, although they are approximated by different intervals. To achieve a satisfactory level of approximation while maintaining the 12 notes of 12-tET requires high-degree tunings like 72-tET, 84-tET or 156-tET.<br /> | ||
<br /> | <br /> | ||
The 11th harmonic, and intervals derived from it, (11:10, 11:9, 11:8, 11:6, 12:11, 15:11, 16:11, 18:11, 20:11) are very well approximated in 24-tone equal temperament. The major fourth in 24-tET is 1.3 cents flatter than 11:8 and is almost indistinguishable from it. In addition, the interval approximating 11:9 is 7 steps which is exactly half a perfect fifth. Some good chords in 24-tET are (the numbers are degree numbers, e.g. 4 is a major second, 8 is a major third):<br /> | The 11th harmonic, and intervals derived from it, (11:10, 11:9, 11:8, 11:6, 12:11, 15:11, 16:11, 18:11, 20:11) are very well approximated in 24-tone equal temperament. The major fourth in 24-tET is 1.3 cents flatter than 11:8 and is almost indistinguishable from it. In addition, the interval approximating 11:9 is 7 steps which is exactly half a perfect fifth. Some good chords in 24-tET are (the numbers are degree numbers, e.g. 4 is a major second, 8 is a major third):<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Notation"></a><!-- ws:end:WikiTextHeadingRule:6 -->Notation</h1> | <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Notation"></a><!-- ws:end:WikiTextHeadingRule:6 -->Notation</h1> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:616:&lt;img src=&quot;http://www.wfg.woodwind.org/n/s14_blue.gif&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://www.wfg.woodwind.org/n/s14_blue.gif" alt="external image s14_blue.gif" title="external image s14_blue.gif" /><!-- ws:end:WikiTextRemoteImageRule:616 --> = quarter-tone sharp<br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:617:&lt;img src=&quot;http://www.wfg.woodwind.org/n/s34_blue.gif&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://www.wfg.woodwind.org/n/s34_blue.gif" alt="external image s34_blue.gif" title="external image s34_blue.gif" /><!-- ws:end:WikiTextRemoteImageRule:617 --> = three-quarter-tone sharp<br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:618:&lt;img src=&quot;http://www.wfg.woodwind.org/n/f14_blue.gif&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://www.wfg.woodwind.org/n/f14_blue.gif" alt="external image f14_blue.gif" title="external image f14_blue.gif" /><!-- ws:end:WikiTextRemoteImageRule:618 --> = quarter-tone flat<br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:619:&lt;img src=&quot;http://www.wfg.woodwind.org/n/f34_blue.gif&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://www.wfg.woodwind.org/n/f34_blue.gif" alt="external image f34_blue.gif" title="external image f34_blue.gif" /><!-- ws:end:WikiTextRemoteImageRule:619 --> = three-quarter-tone flat<br /> | ||
<br /> | <br /> | ||
Alternately, in another notation system,<br /> | Alternately, in another notation system,<br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:620:&lt;img src=&quot;http://faculty.mansfield.edu/jmurphy/oldsite/quartertonesharp.gif&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://faculty.mansfield.edu/jmurphy/oldsite/quartertonesharp.gif" alt="external image quartertonesharp.gif" title="external image quartertonesharp.gif" /><!-- ws:end:WikiTextRemoteImageRule:620 --> can be used as a quarter-tone sharp,<br /> | ||
††† (the horizontal line should connect all three vertical lines) can be used as a three-quartertone sharp,<br /> | ††† (the horizontal line should connect all three vertical lines) can be used as a three-quartertone sharp,<br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:621:&lt;img src=&quot;http://www.dolmetsch.com/onequarterflat.gif&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://www.dolmetsch.com/onequarterflat.gif" alt="external image onequarterflat.gif" title="external image onequarterflat.gif" /><!-- ws:end:WikiTextRemoteImageRule:621 --> = quartertone flat,<br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:622:&lt;img src=&quot;http://upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Arabic_music_notation_half_flat.svg/9px-Arabic_music_notation_half_flat.svg.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Arabic_music_notation_half_flat.svg/9px-Arabic_music_notation_half_flat.svg.png" alt="external image 9px-Arabic_music_notation_half_flat.svg.png" title="external image 9px-Arabic_music_notation_half_flat.svg.png" /><!-- ws:end:WikiTextRemoteImageRule:622 --> can be used as a three-quarter-tone flat.<br /> | ||
For example, the scale 0-5-10-15-20 is written as C-D<!-- ws:start:WikiTextRemoteImageRule: | For example, the scale 0-5-10-15-20 is written as C-D<!-- ws:start:WikiTextRemoteImageRule:623:&lt;img src=&quot;http://faculty.mansfield.edu/jmurphy/oldsite/quartertonesharp.gif&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://faculty.mansfield.edu/jmurphy/oldsite/quartertonesharp.gif" alt="external image quartertonesharp.gif" title="external image quartertonesharp.gif" /><!-- ws:end:WikiTextRemoteImageRule:623 --> (or E<!-- ws:start:WikiTextRemoteImageRule:624:&lt;img src=&quot;http://upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Arabic_music_notation_half_flat.svg/9px-Arabic_music_notation_half_flat.svg.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Arabic_music_notation_half_flat.svg/9px-Arabic_music_notation_half_flat.svg.png" alt="external image 9px-Arabic_music_notation_half_flat.svg.png" title="external image 9px-Arabic_music_notation_half_flat.svg.png" /><!-- ws:end:WikiTextRemoteImageRule:624 -->) F G<!-- ws:start:WikiTextRemoteImageRule:625:&lt;img src=&quot;http://faculty.mansfield.edu/jmurphy/oldsite/quartertonesharp.gif&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://faculty.mansfield.edu/jmurphy/oldsite/quartertonesharp.gif" alt="external image quartertonesharp.gif" title="external image quartertonesharp.gif" /><!-- ws:end:WikiTextRemoteImageRule:625 --> (or A<!-- ws:start:WikiTextRemoteImageRule:626:&lt;img src=&quot;http://upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Arabic_music_notation_half_flat.svg/9px-Arabic_music_notation_half_flat.svg.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Arabic_music_notation_half_flat.svg/9px-Arabic_music_notation_half_flat.svg.png" alt="external image 9px-Arabic_music_notation_half_flat.svg.png" title="external image 9px-Arabic_music_notation_half_flat.svg.png" /><!-- ws:end:WikiTextRemoteImageRule:626 -->) Bb.<br /> | ||
And in persian music:<br /> | And in persian music:<br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:628:&lt;div style=&quot;text-align: center&quot;&gt;&lt;a href=&quot;/24edo&quot;&gt;&lt;img src=&quot;http://240edo.googlepages.com/2.jpg/2-custom;size:430,120.jpg&quot; alt=&quot;Sori,Koron&quot; title=&quot;Sori,Koron&quot; /&gt;&lt;/a&gt;&lt;/div&gt; --><table class="captionBox" style="margin-left:auto; margin-right:auto;"><tr><td class="captionedImage"><a href="/24edo"><img src="http://240edo.googlepages.com/2.jpg/2-custom;size:430,120.jpg" alt="Sori,Koron" title="Sori,Koron" /></a></td></tr><tr><td class="imageCaption">Sori,Koron</td></tr></table><!-- ws:end:WikiTextRemoteImageRule:628 --><br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Scales / Modes"></a><!-- ws:end:WikiTextHeadingRule:8 -->Scales / Modes</h1> | |||
<br /> | |||
<table class="wiki_table"> | |||
<tr> | |||
<td colspan="2"><!-- ws:start:WikiTextHeadingRule:10:&lt;h4&gt; --><h4 id="toc5"><a name="Scales / Modes---24 tone modes:"></a><!-- ws:end:WikiTextHeadingRule:10 -->24 tone modes:</h4> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>1 1 8 1 1 8 4</strong></tt><br /> | |||
</td> | |||
<td>Enharmonic Mixolydian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>1 8 1 1 8 4 1</strong></tt><br /> | |||
</td> | |||
<td>Enharmonic Lydian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>8 1 1 8 4 1 1</strong></tt><br /> | |||
</td> | |||
<td>Enharmonic Phrygian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>1 1 8 4 1 1 8</strong></tt><br /> | |||
</td> | |||
<td>Enharmonic Dorian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>1 8 4 1 1 8 1</strong></tt><br /> | |||
</td> | |||
<td>Enharmonic Hypolydian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>8 4 1 1 8 1 1</strong></tt><br /> | |||
</td> | |||
<td>Enharmonic Hypophrygian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 1 1 8 1 1 8</strong></tt><br /> | |||
</td> | |||
<td>Enharmonic Hypodorian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>2 3 5 2 3 5 4</strong></tt><br /> | |||
</td> | |||
<td>Soft Diatonic Mixolydian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 5 2 3 5 4 2</strong></tt><br /> | |||
</td> | |||
<td>Soft Diatonic Lydian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>5 2 3 5 4 2 3</strong></tt><br /> | |||
</td> | |||
<td>Soft Diatonic Phrygian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>2 3 5 4 2 3 5</strong></tt><br /> | |||
</td> | |||
<td>Soft Diatonic Dorian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 5 4 2 3 5 2</strong></tt><br /> | |||
</td> | |||
<td>Soft Diatonic Hypolydian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>5 4 2 3 5 2 3</strong></tt><br /> | |||
</td> | |||
<td>Soft Diatonic Hypophrygian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 2 3 5 2 3 5</strong></tt><br /> | |||
</td> | |||
<td>Soft Diatonic Hypodorian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 3 4 3 3 4 4</strong></tt><br /> | |||
</td> | |||
<td>Maqam Ouchairan-Hussaini, Bayatan, Neutral Diatonic Mixolydian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 4 3 3 4 4 3</strong></tt><br /> | |||
</td> | |||
<td>Dastgah-e Sehgah, Neutral Diatonic Lydian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 3 3 4 4 3 3</strong></tt><br /> | |||
</td> | |||
<td>Arabic Diatonic, Maqam Rast, Quasi-equal Heptatonic, Neutral Diatonic Phrygian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 3 4 4 3 3 4</strong></tt><br /> | |||
</td> | |||
<td>Maqam Hussaini, Ushaq, Neutral Diatonic Dorian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 4 4 3 3 4 3</strong></tt><br /> | |||
</td> | |||
<td>Maqam Sikah (Segah), Neutral Diatonic Hypolydian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 4 3 3 4 3 3</strong></tt><br /> | |||
</td> | |||
<td>Neutral Diatonic Hypophrygian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 3 3 4 3 3 4</strong></tt><br /> | |||
</td> | |||
<td>Miha'il Musaqa's mode: Egypt, Neutral Diatonic Hypodorian, Dastgah-e Sehgah, Maqam Nairuz<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>1 5 4 1 5 4 4</strong></tt><br /> | |||
</td> | |||
<td>Diatonic + Enharmonic Diesis Mixolydian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>5 4 1 5 4 4 1</strong></tt><br /> | |||
</td> | |||
<td>Diatonic + Enharmonic Diesis Lydian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 1 5 4 4 1 5</strong></tt><br /> | |||
</td> | |||
<td>Diatonic + Enharmonic Diesis Phrygian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>1 5 4 4 1 5 4</strong></tt><br /> | |||
</td> | |||
<td>Diatonic + Enharmonic Diesis Dorian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>5 4 4 1 5 4 1</strong></tt><br /> | |||
</td> | |||
<td>Diatonic + Enharmonic Diesis Hypolydian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 4 1 5 4 1 5</strong></tt><br /> | |||
</td> | |||
<td>Diatonic + Enharmonic Diesis Hypophrygian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 1 5 4 1 5 4</strong></tt><br /> | |||
</td> | |||
<td>Diatonic + Enharmonic Diesis Hypodorian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>1 3 6 1 3 6 4</strong></tt><br /> | |||
</td> | |||
<td>Chromatic/Enharmonic Mixolydian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 6 1 3 6 4 1</strong></tt><br /> | |||
</td> | |||
<td>Chromatic/Enharmonic Lydian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>6 1 3 6 4 1 3</strong></tt><br /> | |||
</td> | |||
<td>Chromatic/Enharmonic Phrygian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>1 3 6 4 1 3 6</strong></tt><br /> | |||
</td> | |||
<td>Chromatic/Enharmonic Dorian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 6 4 1 3 6 1</strong></tt><br /> | |||
</td> | |||
<td>Chromatic/Enharmonic Hypolydian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>6 4 1 3 6 1 3</strong></tt><br /> | |||
</td> | |||
<td>Chromatic/Enharmonic Hypophrygian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 1 3 6 1 3 6</strong></tt><br /> | |||
</td> | |||
<td>Chromatic/Enharmonic Hypodorian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 4 3 3 4 3 4</strong></tt><br /> | |||
</td> | |||
<td>Neutral Mixolydian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 3 3 4 3 4 3</strong></tt><br /> | |||
</td> | |||
<td>Neutral Lydian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 3 4 3 4 3 4</strong></tt><br /> | |||
</td> | |||
<td>Neutral Phrygian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 4 3 4 3 4 3</strong></tt><br /> | |||
</td> | |||
<td>Neutral Dorian, Misaelides 2nd Byzantine mode, Maqam Sikah Baladi<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 3 4 3 4 3 3</strong></tt><br /> | |||
</td> | |||
<td>Neutral Hypolydian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 4 3 4 3 3 4</strong></tt><br /> | |||
</td> | |||
<td>Neutral Hypophrygian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 3 4 3 3 4 3</strong></tt><br /> | |||
</td> | |||
<td>Neutral Hypodorian<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 5 2 4 3 5 2</strong></tt><br /> | |||
</td> | |||
<td>Athanasopoulos' Byzantine Liturgical Chromatic, Dastgah-e Chahargah<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 2 4 4 3 3 4</strong></tt><br /> | |||
</td> | |||
<td>Dastgah-e Nava, Maqam Ushaq Masri<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>2 7 1 4 2 7 1</strong></tt><br /> | |||
</td> | |||
<td>Second plagal Byzantine Liturgical mode<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>5 5 4 5 5</strong></tt><br /> | |||
</td> | |||
<td>Quasi-equal Pentatonic<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 3 4 4 2 4 4</strong></tt><br /> | |||
</td> | |||
<td>Maqam 'Ushshaq Turki, Urfa, Isfahan, Dastgah-e Shur<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 3 4 4 2 1 3 4</strong></tt><br /> | |||
</td> | |||
<td>Maqam Bayati<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 3 4 4 4 2 4</strong></tt><br /> | |||
</td> | |||
<td>Maqam Nahfat<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 3 2 6 2 4 4</strong></tt><br /> | |||
</td> | |||
<td>Maqam Saba<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 3 2 6 2 4 2 2</strong></tt><br /> | |||
</td> | |||
<td>Maqam Saba<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 3 2 6 2 6 2</strong></tt><br /> | |||
</td> | |||
<td>Maqam Sabr Jadid<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 3 2 2 4 3 3 4</strong></tt><br /> | |||
</td> | |||
<td>Maqam Mansuri<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 3 3 4 2 6 2</strong></tt><br /> | |||
</td> | |||
<td>Maqam Suznak (Soznak)<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 3 3 4 4 2 1 3</strong></tt><br /> | |||
</td> | |||
<td>Maqam Rast, Dilkashidah, Dilnishin<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 3 3 4 4 4 2</strong></tt><br /> | |||
</td> | |||
<td>Maqam Mahur<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 3 1 2 1 3 4 2 1 3</strong></tt><br /> | |||
</td> | |||
<td>Maqam Yakah<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 3 1 2 4 4 2 4</strong></tt><br /> | |||
</td> | |||
<td>Maqam Suzidil 'ara<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 3 4 2 6 2 4</strong></tt><br /> | |||
</td> | |||
<td>Maqam Qarjighar, Bayati Shuri<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 4 2 2 2 2 2 4 3</strong></tt><br /> | |||
</td> | |||
<td>Maqam Huzam<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 4 2 6 2 4 3</strong></tt><br /> | |||
</td> | |||
<td>Maqam Hizam (Huzam, El Houzam), Rahat al Arouah<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 4 2 6 2 4 2 1</strong></tt><br /> | |||
</td> | |||
<td>Maqam Rahat al-Arwah<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 4 3 3 4 4 2 1</strong></tt><br /> | |||
</td> | |||
<td>Maqam Iraq<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>2 6 2 4 2 1 3 4</strong></tt><br /> | |||
</td> | |||
<td>Maqam Hijaz<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 4 4 2 1 3 4 3</strong></tt><br /> | |||
</td> | |||
<td>Maqam Musta'ar<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 4 4 4 2 4 2 1</strong></tt><br /> | |||
</td> | |||
<td>Maqam Farahnak<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 4 3 3 2 6 2 1</strong></tt><br /> | |||
</td> | |||
<td>Maqam Bastanikar, Tarz Nuin<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 2 6 2 4 2 1 3</strong></tt><br /> | |||
</td> | |||
<td>Maqam Farah Faza, Maqam Nakriz<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 2 1 3 2 2 2 2 3 1 2</strong></tt><br /> | |||
</td> | |||
<td>Maqam Hayyan<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 2 1 3 2 2 4 2 1 3</strong></tt><br /> | |||
</td> | |||
<td>Maqam Basandida<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 4 2 1 3 2 2 4 2</strong></tt><br /> | |||
</td> | |||
<td>Maqam Shawq Afza<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>2 1 3 2 2 4 2 4 2 2</strong></tt><br /> | |||
</td> | |||
<td>Maqam Shawq Tarab<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 1 2 4 4 2 4 4</strong></tt><br /> | |||
</td> | |||
<td>Maqam Jabburi<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>2 4 4 4 3 3 4</strong></tt><br /> | |||
</td> | |||
<td>Maqam Nawa<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>2 5 3 4 2 5 3</strong></tt><br /> | |||
</td> | |||
<td>Maqam Higaz-kar<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 4 4 2 4 4 3</strong></tt><br /> | |||
</td> | |||
<td>Maqam Su'ar, Naghmeh Abuata, Naghmeh Afshari<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 4 2 4 4 3 3</strong></tt><br /> | |||
</td> | |||
<td>Maqam Jahargah (Jiharkah), Naghmeh Bayat-e Tork, Naghmeh Dashti<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 5 2 4 2 4 4</strong></tt><br /> | |||
</td> | |||
<td>Dastgah-e Homayun<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 2 4 4 3 5 2</strong></tt><br /> | |||
</td> | |||
<td>Naghmeh Esfahan<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 6 1 5 2 6 1</strong></tt><br /> | |||
</td> | |||
<td>Maqam 'Awg 'ara (Aug-ara)<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 1 5 4 2 6 2</strong></tt><br /> | |||
</td> | |||
<td>Maqam Buselik<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 2 6 2 2 5 3</strong></tt><br /> | |||
</td> | |||
<td>Maqam Neuter<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>2 8 3 6 5</strong></tt><br /> | |||
</td> | |||
<td>Anchihoye: Ethiopia<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 3 3 4 4 2 4</strong></tt><br /> | |||
</td> | |||
<td>Dance scale of Yi people: China<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 4 2 3 1 4 6</strong></tt><br /> | |||
</td> | |||
<td>Daniel-mode of Spanish-Arab Jews<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>1 2 2 2 2 2 2 1 2 2 2 2 2</strong></tt><br /> | |||
</td> | |||
<td>de Vries 13-tone<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>4 1 4 1 4 1 4 1 4</strong></tt><br /> | |||
</td> | |||
<td>de Vries 9-tone<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>9 2 2 9 2</strong></tt><br /> | |||
</td> | |||
<td>de Vries 5-tone<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 7 4 3 7</strong></tt><br /> | |||
</td> | |||
<td>Spondeion<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>1 1 8 4 2 8</strong></tt><br /> | |||
</td> | |||
<td>Spondeiakos<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>1 2 3 4 4 1 2 3 4</strong></tt><br /> | |||
</td> | |||
<td>Progressive Enneatonic<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>2 3 2 3 2 2 3 2 3 2</strong></tt><br /> | |||
</td> | |||
<td>Young Decatonic<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>2 2 1 2 2 2 1 2 2 1 2 2 2 1</strong></tt><br /> | |||
</td> | |||
<td>Young Half-Octave Diatonic<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>3 1 3 3 3 1 3 3 1 3</strong></tt><br /> | |||
</td> | |||
<td>Breed Decatonic<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>2 3 2 2 3 2 3 2 2 3</strong></tt><br /> | |||
</td> | |||
<td>Oljare Decatonic<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><tt><strong>2 2 2 2 2 1 2 2 2 2 2 2 1</strong></tt><br /> | |||
</td> | |||
<td>Agmon Diatonic DS5<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Instruments"></a><!-- ws:end:WikiTextHeadingRule:12 -->Instruments<!-- ws:start:WikiTextAnchorRule:32:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@instruments&quot; title=&quot;Anchor: instruments&quot;/&gt; --><a name="instruments"></a><!-- ws:end:WikiTextAnchorRule:32 --></h1> | ||
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The ever-arising question in microtonal music, how to play it on instruments designed for 12edo, has a relatively simple answer in the case of 24edo: use two standard instruments tuned a quartertone apart. This <a class="wiki_link" href="/Microtonal%20Keyboards#twelvenoteoctavescales">&quot;12 note octave scales&quot;</a> approach is used in a wide part of the existing literature - see below.<br /> | The ever-arising question in microtonal music, how to play it on instruments designed for 12edo, has a relatively simple answer in the case of 24edo: use two standard instruments tuned a quartertone apart. This <a class="wiki_link" href="/Microtonal%20Keyboards#twelvenoteoctavescales">&quot;12 note octave scales&quot;</a> approach is used in a wide part of the existing literature - see below.<br /> | ||
<!-- ws:start:WikiTextRemoteImageRule:629:&lt;img src=&quot;http://www.swordguitars.com/Sword_quartertone_stratsm.jpg&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 195px; width: 406px;&quot; /&gt; --><img src="http://www.swordguitars.com/Sword_quartertone_stratsm.jpg" alt="external image Sword_quartertone_stratsm.jpg" title="external image Sword_quartertone_stratsm.jpg" style="height: 195px; width: 406px;" /><!-- ws:end:WikiTextRemoteImageRule:629 -->24-tone &quot;1/4-tone&quot; Guitar by Ron Sword / Sword guitars<br /> | |||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:14 -->Compositions</h1> | ||
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&quot;Prométhée enchaîné&quot; by <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Fromental_Hal%C3%A9vy" rel="nofollow">Fromental Halévy</a> (considered the first mainstream western orchestral composition to use quarter tones.)<br /> | &quot;Prométhée enchaîné&quot; by <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Fromental_Hal%C3%A9vy" rel="nofollow">Fromental Halévy</a> (considered the first mainstream western orchestral composition to use quarter tones.)<br /> | ||
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<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/List_of_quarter_tone_pieces" rel="nofollow">List of quartertone pieces on Wikipedia</a><br /> | <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/List_of_quarter_tone_pieces" rel="nofollow">List of quartertone pieces on Wikipedia</a><br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc8"><a name="Practical Theory / Books"></a><!-- ws:end:WikiTextHeadingRule:16 -->Practical Theory / Books</h1> | ||
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<!-- ws:start:WikiTextRemoteImageRule:630:&lt;img src=&quot;http://ronsword.com/images/24_tet_Coversm.jpg&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 236px; width: 179px;&quot; /&gt; --><img src="http://ronsword.com/images/24_tet_Coversm.jpg" alt="external image 24_tet_Coversm.jpg" title="external image 24_tet_Coversm.jpg" style="height: 236px; width: 179px;" /><!-- ws:end:WikiTextRemoteImageRule:630 --><strong>&quot;Icosakaiteraphonic Scales for Guitar&quot;</strong> - A Book for Twenty-Four Equal Divisions of the Octave on guitar, or 'Quarter-tones'. Features a practical approach to understanding the tuning, and over 550 Scale Examples on Nine-String finger board charts, which allows for both symmetrical tuning visualization and standard guitar tuning- helpful for bassists and large range guitarists as well. Includes MOS, DE, and *all* the Scales / Modes from the list above.<br /> | |||
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<!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="External links"></a><!-- ws:end:WikiTextHeadingRule:18 -->External links</h1> | |||
<a class="wiki_link_ext" href="http://tonalsoft.com/enc/q/quarter-tone.aspx" rel="nofollow">quarter-tone / 24-edo - Encyclopedia of Microtonal Music Theory</a><br /> | <a class="wiki_link_ext" href="http://tonalsoft.com/enc/q/quarter-tone.aspx" rel="nofollow">quarter-tone / 24-edo - Encyclopedia of Microtonal Music Theory</a><br /> | ||
<a class="wiki_link_ext" href="http://www.96edo.com/24_EDO.html" rel="nofollow">About 24-EDO</a></body></html></pre></div> | <a class="wiki_link_ext" href="http://www.96edo.com/24_EDO.html" rel="nofollow">About 24-EDO</a></body></html></pre></div> |