24edo: Difference between revisions
Wikispaces>JosephRuhf **Imported revision 597443662 - 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:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-29 10: | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-29 10:35:06 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>597443722</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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html"> | <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;white-space: pre-wrap ! important" class="old-revision-html">[[toc]] | ||
[[toc]] | |||
<span style="display: block; text-align: right;">[[xenharmonie/24edo|Deutsch]] - [[24平均律|日本語]] | <span style="display: block; text-align: right;">[[xenharmonie/24edo|Deutsch]] - [[24平均律|日本語]] | ||
</span> | </span> | ||
| Line 81: | Line 78: | ||
24 EDO tempers out the following commas. (Note: This assumes val < [[tel/24 38 56 67 83 89|24 38 56 67 83 89]] |.) | 24 EDO tempers out the following commas. (Note: This assumes val < [[tel/24 38 56 67 83 89|24 38 56 67 83 89]] |.) | ||
||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 || | ||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 || | ||
||= 531441/524288 || | -19 12 > ||> 23.46 ||= Pythagorean Comma ||= || || | ||= [[tel:531441/524288|531441/524288]] || | -19 12 > ||> 23.46 ||= Pythagorean Comma ||= || || | ||
||= 648/625 || | 3 4 -4 > ||> 62.57 ||= Major Diesis ||= Diminished Comma || || | ||= 648/625 || | 3 4 -4 > ||> 62.57 ||= Major Diesis ||= Diminished Comma || || | ||
||= 128/125 || | 7 0 -3 > ||> 41.06 ||= Diesis ||= Augmented Comma || || | ||= 128/125 || | 7 0 -3 > ||> 41.06 ||= Diesis ||= Augmented Comma || || | ||
||= 81/80 || | -4 4 -1 > ||> 21.51 ||= Syntonic Comma ||= Didymos Comma || Meantone Comma || | ||= 81/80 || | -4 4 -1 > ||> 21.51 ||= Syntonic Comma ||= Didymos Comma || Meantone Comma || | ||
||= 2048/2025 || | 11 -4 -2 > ||> 19.55 ||= Diaschisma ||= || || | ||= 2048/2025 || | 11 -4 -2 > ||> 19.55 ||= Diaschisma ||= || || | ||
||= 5201701/5149091 || | 26 -12 -3 > ||> 17.60 ||= Misty Comma ||= || || | ||= [[tel:5201701/5149091|5201701/5149091]] || | 26 -12 -3 > ||> 17.60 ||= Misty Comma ||= || || | ||
||= 32805/32768 || | -15 8 1 > ||> 1.95 ||= Schisma ||= || || | ||= 32805/32768 || | -15 8 1 > ||> 1.95 ||= Schisma ||= || || | ||
||= 1465155/1465142 || | 161 -84 -12 > ||> 0.02 ||= Atom ||= || || | ||= [[tel:1465155/1465142|1465155/1465142]] || | 161 -84 -12 > ||> 0.02 ||= Atom ||= || || | ||
||= 49/48 || | -4 -1 0 2 > ||> 35.70 ||= Slendro Diesis ||= || || | ||= 49/48 || | -4 -1 0 2 > ||> 35.70 ||= Slendro Diesis ||= || || | ||
||= 245/243 || | 0 -5 1 2 > ||> 14.19 ||= Sensamagic ||= || || | ||= 245/243 || | 0 -5 1 2 > ||> 14.19 ||= Sensamagic ||= || || | ||
| Line 425: | Line 422: | ||
[[http://sonic-arts.org/darreg/contents.htm|The place of QUARTERTONES in Today's Xenharmonics]] by [[Ivor Darreg]] [[http://sonic-arts.org/darreg/dar8.htm|Permalink]]</pre></div> | [[http://sonic-arts.org/darreg/contents.htm|The place of QUARTERTONES in Today's Xenharmonics]] by [[Ivor Darreg]] [[http://sonic-arts.org/darreg/dar8.htm|Permalink]]</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> | <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:60:&lt;img id=&quot;wikitext@@toc@@normal&quot; class=&quot;WikiMedia WikiMediaToc&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/normal?w=225&amp;h=100&quot;/&gt; --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --><div style="margin-left: 1em;"><a href="#Basics">Basics</a></div> | ||
<!-- ws:start:WikiTextTocRule:60:&lt;img id=&quot;wikitext@@toc@@normal&quot; class=&quot;WikiMedia WikiMediaToc&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/normal?w=225&amp;h=100&quot;/&gt; --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --><div style="margin-left: 1em;"><a href="#Basics">Basics</a></div> | |||
<!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --><div style="margin-left: 1em;"><a href="#x24edo as a temperament">24edo as a temperament</a></div> | <!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --><div style="margin-left: 1em;"><a href="#x24edo as a temperament">24edo as a temperament</a></div> | ||
<!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --><div style="margin-left: 3em;"><a href="#x24edo as a temperament--Commas">Commas</a></div> | <!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --><div style="margin-left: 3em;"><a href="#x24edo as a temperament--Commas">Commas</a></div> | ||
| Line 741: | Line 720: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;">531441/524288<br /> | <td style="text-align: center;">[[tel:531441/524288|531441/524288]]<br /> | ||
</td> | </td> | ||
<td>| -19 12 &gt;<br /> | <td>| -19 12 &gt;<br /> | ||
| Line 811: | Line 790: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;">5201701/5149091<br /> | <td style="text-align: center;">[[tel:5201701/5149091|5201701/5149091]]<br /> | ||
</td> | </td> | ||
<td>| 26 -12 -3 &gt;<br /> | <td>| 26 -12 -3 &gt;<br /> | ||
| Line 839: | Line 818: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;">1465155/1465142<br /> | <td style="text-align: center;">[[tel:1465155/1465142|1465155/1465142]]<br /> | ||
</td> | </td> | ||
<td>| 161 -84 -12 &gt;<br /> | <td>| 161 -84 -12 &gt;<br /> | ||
| Line 1,266: | Line 1,245: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc5"><a name="Notation-Mainstream Quartertone Notation"></a><!-- ws:end:WikiTextHeadingRule:12 -->Mainstream Quartertone Notation</h2> | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc5"><a name="Notation-Mainstream Quartertone Notation"></a><!-- ws:end:WikiTextHeadingRule:12 -->Mainstream Quartertone Notation</h2> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:1544:&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:1544 --> or ^ = quarter-tone sharp or &quot;Jump&quot;<br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:1545:&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:1545 --> or #^ = three-quarter-tone sharp or &quot;Jump-Sharp&quot;<br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:1546:&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:1546 --> or v = quarter-tone flat or &quot;Drop&quot;<br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:1547:&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:1547 --> or bv = three-quarter-tone flat or &quot;Drop-Flat&quot;<br /> | ||
<br /> | <br /> | ||
Pros: Familiar, fairly easy to learn<br /> | Pros: Familiar, fairly easy to learn<br /> | ||
| Line 1,275: | Line 1,254: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc6"><a name="Notation-Alternate Quartertone Accidentals"></a><!-- ws:end:WikiTextHeadingRule:14 -->Alternate Quartertone Accidentals</h2> | <!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc6"><a name="Notation-Alternate Quartertone Accidentals"></a><!-- ws:end:WikiTextHeadingRule:14 -->Alternate Quartertone Accidentals</h2> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:1548:&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:1548 --> = quarter-tone sharp or Jump<br /> | ||
††† (the horizontal line should connect all three vertical lines) = three quarter-tones sharp or Jump-Sharp<br /> | ††† (the horizontal line should connect all three vertical lines) = three quarter-tones sharp or Jump-Sharp<br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:1549:&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:1549 --> = quarter-tone flat or Drop<br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:1550:&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:1550 --> = three quarter-tones flat or drop-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:1551:&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:1551 --> (or E<!-- ws:start:WikiTextRemoteImageRule:1552:&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:1552 -->) F G<!-- ws:start:WikiTextRemoteImageRule:1553:&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:1553 --> (or A<!-- ws:start:WikiTextRemoteImageRule:1554:&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:1554 -->) Bb.<br /> | ||
<br /> | <br /> | ||
Pros: Very easy to distinguish accidentals from one another<br /> | Pros: Very easy to distinguish accidentals from one another<br /> | ||
| Line 1,285: | Line 1,264: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc7"><a name="Notation-And in Persian music"></a><!-- ws:end:WikiTextHeadingRule:16 --><span style="line-height: 1.5;">And in Persian music</span></h2> | <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc7"><a name="Notation-And in Persian music"></a><!-- ws:end:WikiTextHeadingRule:16 --><span style="line-height: 1.5;">And in Persian music</span></h2> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:1555:&lt;img src=&quot;http://upload.wikimedia.org/wikipedia/commons/thumb/3/31/Koron_sign.svg/200px-Koron_sign.svg.png&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 25px; width: 12px;&quot; /&gt; --><img src="http://upload.wikimedia.org/wikipedia/commons/thumb/3/31/Koron_sign.svg/200px-Koron_sign.svg.png" alt="external image 200px-Koron_sign.svg.png" title="external image 200px-Koron_sign.svg.png" style="height: 25px; width: 12px;" /><!-- ws:end:WikiTextRemoteImageRule:1555 -->Koron (<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Koron_%28music%29" rel="nofollow">en</a> | <a class="wiki_link_ext" href="http://fa.wikipedia.org/wiki/%DA%A9%D8%B1%D9%86" rel="nofollow">fa</a>) = quarter-tone flat or Jump<br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:1556:&lt;img src=&quot;http://upload.wikimedia.org/wikipedia/commons/thumb/b/bb/Sori_sign.svg/200px-Sori_sign.svg.png&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 25px; width: 15px;&quot; /&gt; --><img src="http://upload.wikimedia.org/wikipedia/commons/thumb/b/bb/Sori_sign.svg/200px-Sori_sign.svg.png" alt="external image 200px-Sori_sign.svg.png" title="external image 200px-Sori_sign.svg.png" style="height: 25px; width: 15px;" /><!-- ws:end:WikiTextRemoteImageRule:1556 -->Sori (<a class="wiki_link_ext" href="http://fa.wikipedia.org/wiki/%D8%B3%D8%B1%DB%8C_%28%D9%85%D9%88%D8%B3%DB%8C%D9%82%DB%8C%29" rel="nofollow">fa</a>) = quarter-tone sharp or Drop<br /> | ||
<br /> | <br /> | ||
Pros: Easy to read<br /> | Pros: Easy to read<br /> | ||
| Line 1,297: | Line 1,276: | ||
with Sagittal signs for sharp and flat.<br /> | with Sagittal signs for sharp and flat.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:1542:&lt;img src=&quot;/file/view/sagittal%2024.PNG/500168246/sagittal%2024.PNG&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/sagittal%2024.PNG/500168246/sagittal%2024.PNG" alt="sagittal 24.PNG" title="sagittal 24.PNG" /><!-- ws:end:WikiTextLocalImageRule:1542 --><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc9"><a name="Interval Alterations"></a><!-- ws:end:WikiTextHeadingRule:20 -->Interval Alterations</h1> | <!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc9"><a name="Interval Alterations"></a><!-- ws:end:WikiTextHeadingRule:20 -->Interval Alterations</h1> | ||
| Line 1,320: | Line 1,299: | ||
William Lynch considers these as some possible good tetrads:<br /> | William Lynch considers these as some possible good tetrads:<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:1543:&lt;img src=&quot;/file/view/Three%20chords.PNG/489521008/Three%20chords.PNG&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/Three%20chords.PNG/489521008/Three%20chords.PNG" alt="Three chords.PNG" title="Three chords.PNG" /><!-- ws:end:WikiTextLocalImageRule:1543 --><br /> | ||
<br /> | <br /> | ||
| Line 2,169: | Line 2,148: | ||
<!-- ws:start:WikiTextHeadingRule:48:&lt;h1&gt; --><h1 id="toc23"><a name="Instruments"></a><!-- ws:end:WikiTextHeadingRule:48 -->Instruments<!-- ws:start:WikiTextAnchorRule:91:&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:91 --></h1> | <!-- ws:start:WikiTextHeadingRule:48:&lt;h1&gt; --><h1 id="toc23"><a name="Instruments"></a><!-- ws:end:WikiTextHeadingRule:48 -->Instruments<!-- ws:start:WikiTextAnchorRule:91:&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:91 --></h1> | ||
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: | <!-- ws:start:WikiTextRemoteImageRule:1557:&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:1557 -->24-tone &quot;1/4-tone&quot; Guitar by Ron Sword / Sword guitars<br /> | ||
<br /> | <br /> | ||
Hidekazu Wakabayashi tuned a piano and harp to where the normal sharps and flats are tuned 50 cents higher in which he called <a class="wiki_link" href="/Iceface%20Tuning">Iceface tuning</a>.<br /> | Hidekazu Wakabayashi tuned a piano and harp to where the normal sharps and flats are tuned 50 cents higher in which he called <a class="wiki_link" href="/Iceface%20Tuning">Iceface tuning</a>.<br /> | ||
| Line 2,192: | Line 2,171: | ||
<!-- ws:start:WikiTextHeadingRule:56:&lt;h1&gt; --><h1 id="toc27"><a name="Practical Theory / Books"></a><!-- ws:end:WikiTextHeadingRule:56 -->Practical Theory / Books</h1> | <!-- ws:start:WikiTextHeadingRule:56:&lt;h1&gt; --><h1 id="toc27"><a name="Practical Theory / Books"></a><!-- ws:end:WikiTextHeadingRule:56 -->Practical Theory / Books</h1> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:1558:&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:1558 --><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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