22edo: Difference between revisions
Wikispaces>clamengh **Imported revision 586235971 - Original comment: ** |
Wikispaces>TallKite **Imported revision 588879826 - 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:TallKite|TallKite]] and made on <tt>2016-08-07 00:36:52 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>588879826</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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22-et is very close to an extended "quarter-comma superpyth", a tuning analogous to quarter-comma meantone except that it tempers out the septimal comma 64:63 instead of the syntonic comma 81:80. Because of this it has nearly pure septimal major thirds (9:7). | 22-et is very close to an extended "quarter-comma superpyth", a tuning analogous to quarter-comma meantone except that it tempers out the septimal comma 64:63 instead of the syntonic comma 81:80. Because of this it has nearly pure septimal major thirds (9:7). | ||
==Intervalic Naming | ==Intervalic Naming Systems== | ||
The intervals of 22 EDO may be | The intervals of 22 EDO may be thought of as a system arising from both Superpyth and Porcupine temperament therefore, it makes sense to categorize each on as major and minor of each temperament. s indicates superpyth, p indicates Porcupine, because p now represents procupine and not perfect, P in perfect intervals is no longer used in this system. Instead the number is used without P and is read as either just the number or "Natural". Example: P5 becomes 5 or N5 = Perfect fifth becomes Natural fifth. | ||
==Intervals by degree== | ==Intervals by degree (Superpyth/Porcupine)== | ||
|| Degree || Name and Abbreviation || Cents ||= Approximate | || Degree || Name and Abbreviation || Cents ||= Approximate | ||
Ratios* || | Ratios* || | ||
| Line 77: | Line 77: | ||
360° ||= 2/1 || | 360° ||= 2/1 || | ||
22edo intervals can also be notated by using ups and downs: | |||
==Intervals by degree (ups and downs)== | |||
|| Degree || Name || Abbreviation || Cents || | |||
|| 0 || perfect unison || P1 || 0 || | |||
|| 1 || minor second || m2 || 55 || | |||
|| 2 || upminor 2nd || ^m2 || 109 || | |||
|| 3 || downmajor 2nd || vM2 || 164 || | |||
|| 4 || major second || M2 || 218 || | |||
|| 5 || minor third || m3 || 273 || | |||
|| 6 || upminor third || ^m3 || 327 || | |||
|| 7 || downmajor third || vM3 || 382 || | |||
|| 8 || major third || M3 || 436 || | |||
|| 9 || perfect fourth || P4 || 491 || | |||
|| 10 || up-fourth or dim fifth || ^4 or d5 || 545 || | |||
|| 11 || downaug fourth or updim fifth || vA4 or ^d5 || 600 || | |||
|| 12 || aug fourth or down-fifth || A4 or v5 || 655 || | |||
|| 13 || perfect fifth || P5 || 709 || | |||
|| 14 || minor sixth || m6 || 764 || | |||
|| 15 || upminor sixth || ^m6 || 818 || | |||
|| 16 || downmajor sixth || vM6 || 873 || | |||
|| 17 || major sixth || M6 || 927 || | |||
|| 18 || minor seventh || m7 || 982 || | |||
|| 19 || upminor seventh || ^m7 || 1036 || | |||
|| 20 || downmajor seventh || vM7 || 1091 || | |||
|| 21 || major seventh || M7 || 1145 || | |||
|| 22 || octave || P8 || 1200 || | |||
Another way to notate it is to use the porcupine generator to generate the notation as well. The 2nd and 7th are perfect, and the 4th and 5th are imperfect like the 3rd and 6th. | |||
==Intervals by degree (Porcupine)== | |||
|| Degree || Name || Abbreviation || Cents || | |||
|| 0 || perfect unison || P1 || 0 || | |||
|| 1 || aug unison || A1 || 55 || | |||
|| 2 || dim second || d2 || 109 || | |||
|| 3 || perfect second || P2 || 164 || | |||
|| 4 || aug second || A2 || 218 || | |||
|| 5 || dim third || d3 || 273 || | |||
|| 6 || minor third || m3 || 327 || | |||
|| 7 || major third || M3 || 382 || | |||
|| 8 || aug third or dim fourth || A3 or d4 || 436 || | |||
|| 9 || minor fourth || m4 || 491 || | |||
|| 10 || major fourth || M4 || 545 || | |||
|| 11 || aug fourth or dim fifth || A4 or d5 || 600 || | |||
|| 12 || minor fifth || m5 || 655 || | |||
|| 13 || major fifth || M5 || 709 || | |||
|| 14 || aug fifth or dim sixth || A5 or d6 || 764 || | |||
|| 15 || minor sixth || m6 || 818 || | |||
|| 16 || major sixth || M6 || 873 || | |||
|| 17 || aug sixth || A6 || 927 || | |||
|| 18 || dim seventh || d7 || 982 || | |||
|| 19 || perfect seventh || P7 || 1036 || | |||
|| 20 || aug seventh || A7 || 1091 || | |||
|| 21 || dim octave || d8 || 1145 || | |||
|| 22 || octave || P8 || 1200 || | |||
Yet another way is to notate it pentatonically. This is the only way to use a chain-of-fifths notation without special accidentals. The pentatonic degrees are unison, subthird, fourthoid, fifthoid, subseventh and octoid. | |||
==Intervals by degree (pentatonic)== | |||
|| Degree || Name || Abbreviation || Cents || | |||
|| 0 || perfect unison || P1 || 0 || | |||
|| 1 || aug unison || A1 || 55 || | |||
|| 2 || double-aug unison or double-dim sub3rd || AA1 or dds3 || 109 || | |||
|| 3 || dim sub3rd || ds3 || 164 || | |||
|| 4 || minor sub3rd || ms3 || 218 || | |||
|| 5 || major sub3rd || Ms3 || 273 || | |||
|| 6 || aug sub3rd || As3 || 327 || | |||
|| 7 || double-aug sub3rd or double-dim 4thoid || AAs3 or dd4d || 382 || | |||
|| 8 || dim 4thoid || d4d || 436 || | |||
|| 9 || perfect 4thoid || P4d || 491 || | |||
|| 10 || aug 4thoid || A4d || 545 || | |||
|| 11 || double-aug 4thoid or double-dim 5thoid || AA4d or dd5d || 600 || | |||
|| 12 || dim 5thoid || d5d || 655 || | |||
|| 13 || perfect 5thoid || P5d || 709 || | |||
|| 14 || aug 5thoid || A5d || 764 || | |||
|| 15 || double-aug 5thoid or double-dim sub7th || AA5d or dds7 || 818 || | |||
|| 16 || dim sub7th || ds7 || 873 || | |||
|| 17 || minor sub7th || ms7 || 927 || | |||
|| 18 || major sub7th || Ms7 || 982 || | |||
|| 19 || aug sub7th || As7 || 1036 || | |||
|| 20 || double-aug sub7th or double-dim octoid || AAs7 or dd8d || 1091 || | |||
|| 21 || dim octoid || d8d || 1145 || | |||
|| 22 || octave || P8 || 1200 || | |||
== == | |||
==Selected just intervals by error== | ==Selected just intervals by error== | ||
The following table shows how [[Just-24|some prominent just intervals]] are represented in 22edo (ordered by absolute error). | The following table shows how [[Just-24|some prominent just intervals]] are represented in 22edo (ordered by absolute error). | ||
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<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>22edo</title></head><body><span style="display: block; text-align: right;"><a class="wiki_link" href="http://xenharmonie.wikispaces.com/22edo">Deutsch</a> - <a class="wiki_link" href="/22%E5%B9%B3%E5%9D%87%E5%BE%8B">日本語</a><br /> | <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>22edo</title></head><body><span style="display: block; text-align: right;"><a class="wiki_link" href="http://xenharmonie.wikispaces.com/22edo">Deutsch</a> - <a class="wiki_link" href="/22%E5%B9%B3%E5%9D%87%E5%BE%8B">日本語</a><br /> | ||
</span><br /> | </span><br /> | ||
<!-- ws:start:WikiTextTocRule: | <!-- ws:start:WikiTextTocRule:38:&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:38 --><!-- ws:start:WikiTextTocRule:39: --><div style="margin-left: 1em;"><a href="#Theory">Theory</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:39 --><!-- ws:start:WikiTextTocRule:40: --><div style="margin-left: 2em;"><a href="#Theory-Intervalic Naming Systems">Intervalic Naming Systems</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:40 --><!-- ws:start:WikiTextTocRule:41: --><div style="margin-left: 2em;"><a href="#Theory-Intervals by degree (Superpyth/Porcupine)">Intervals by degree (Superpyth/Porcupine)</a></div> | ||
& | <!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --><div style="margin-left: 2em;"><a href="#Theory-Intervals by degree (ups and downs)">Intervals by degree (ups and downs)</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: --><div style="margin-left: 2em;"><a href="#Theory-Intervals by degree (Porcupine)">Intervals by degree (Porcupine)</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:43 --><!-- ws:start:WikiTextTocRule:44: --><div style="margin-left: 2em;"><a href="#Theory-Intervals by degree (pentatonic)">Intervals by degree (pentatonic)</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:44 --><!-- ws:start:WikiTextTocRule:45: --><div style="margin-left: 2em;"><a href="#toc6"> </a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:45 --><!-- ws:start:WikiTextTocRule:46: --><div style="margin-left: 2em;"><a href="#Theory-Selected just intervals by error">Selected just intervals by error</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:46 --><!-- ws:start:WikiTextTocRule:47: --><div style="margin-left: 2em;"><a href="#Theory-Properties of 22 equal temperament">Properties of 22 equal temperament</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:47 --><!-- ws:start:WikiTextTocRule:48: --><div style="margin-left: 3em;"><a href="#Theory-Properties of 22 equal temperament-Rank Two Temperaments">Rank Two Temperaments</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:48 --><!-- ws:start:WikiTextTocRule:49: --><div style="margin-left: 3em;"><a href="#Theory-Properties of 22 equal temperament-Commas">Commas</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:49 --><!-- ws:start:WikiTextTocRule:50: --><div style="margin-left: 3em;"><a href="#Theory-Properties of 22 equal temperament-How to Notate 22edo in Sagittal">How to Notate 22edo in Sagittal</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:50 --><!-- ws:start:WikiTextTocRule:51: --><div style="margin-left: 1em;"><a href="#The Decatonic System">The Decatonic System</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:51 --><!-- ws:start:WikiTextTocRule:52: --><div style="margin-left: 2em;"><a href="#The Decatonic System-Decatonic Alphabet">Decatonic Alphabet</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --><div style="margin-left: 1em;"><a href="#toc14"> </a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --><div style="margin-left: 2em;"><a href="#The Decatonic System-External links">External links</a></div> | ||
<!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --><div style="margin-left: 2em;"><a href="#The Decatonic System-References">References</a></div> | |||
<!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --><div style="margin-left: 1em;"><a href="#Music">Music</a></div> | |||
<!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --></div> | |||
<!-- ws:end:WikiTextTocRule:57 --><hr /> | |||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc0"><a name="Theory"></a><!-- ws:end:WikiTextHeadingRule:2 -->Theory</h1> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc0"><a name="Theory"></a><!-- ws:end:WikiTextHeadingRule:2 -->Theory</h1> | ||
<br /> | <br /> | ||
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22-et is very close to an extended &quot;quarter-comma superpyth&quot;, a tuning analogous to quarter-comma meantone except that it tempers out the septimal comma 64:63 instead of the syntonic comma 81:80. Because of this it has nearly pure septimal major thirds (9:7).<br /> | 22-et is very close to an extended &quot;quarter-comma superpyth&quot;, a tuning analogous to quarter-comma meantone except that it tempers out the septimal comma 64:63 instead of the syntonic comma 81:80. Because of this it has nearly pure septimal major thirds (9:7).<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc1"><a name="Theory-Intervalic Naming | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc1"><a name="Theory-Intervalic Naming Systems"></a><!-- ws:end:WikiTextHeadingRule:4 -->Intervalic Naming Systems</h2> | ||
The intervals of 22 EDO may be | The intervals of 22 EDO may be thought of as a system arising from both Superpyth and Porcupine temperament therefore, it makes sense to categorize each on as major and minor of each temperament. s indicates superpyth, p indicates Porcupine, because p now represents procupine and not perfect, P in perfect intervals is no longer used in this system. Instead the number is used without P and is read as either just the number or &quot;Natural&quot;. Example: P5 becomes 5 or N5 = Perfect fifth becomes Natural fifth.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc2"><a name="Theory-Intervals by degree"></a><!-- ws:end:WikiTextHeadingRule:6 -->Intervals by degree</h2> | <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc2"><a name="Theory-Intervals by degree (Superpyth/Porcupine)"></a><!-- ws:end:WikiTextHeadingRule:6 -->Intervals by degree (Superpyth/Porcupine)</h2> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc3"><a name="Theory-Selected just intervals by error"></a><!-- ws:end:WikiTextHeadingRule: | 22edo intervals can also be notated by using ups and downs:<br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc3"><a name="Theory-Intervals by degree (ups and downs)"></a><!-- ws:end:WikiTextHeadingRule:8 -->Intervals by degree (ups and downs)</h2> | |||
<table class="wiki_table"> | |||
<tr> | |||
<td>Degree<br /> | |||
</td> | |||
<td>Name<br /> | |||
</td> | |||
<td>Abbreviation<br /> | |||
</td> | |||
<td>Cents<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>0<br /> | |||
</td> | |||
<td>perfect unison<br /> | |||
</td> | |||
<td>P1<br /> | |||
</td> | |||
<td>0<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>1<br /> | |||
</td> | |||
<td>minor second<br /> | |||
</td> | |||
<td>m2<br /> | |||
</td> | |||
<td>55<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>2<br /> | |||
</td> | |||
<td>upminor 2nd<br /> | |||
</td> | |||
<td>^m2<br /> | |||
</td> | |||
<td>109<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>3<br /> | |||
</td> | |||
<td>downmajor 2nd<br /> | |||
</td> | |||
<td>vM2<br /> | |||
</td> | |||
<td>164<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>4<br /> | |||
</td> | |||
<td>major second<br /> | |||
</td> | |||
<td>M2<br /> | |||
</td> | |||
<td>218<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>5<br /> | |||
</td> | |||
<td>minor third<br /> | |||
</td> | |||
<td>m3<br /> | |||
</td> | |||
<td>273<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>6<br /> | |||
</td> | |||
<td>upminor third<br /> | |||
</td> | |||
<td>^m3<br /> | |||
</td> | |||
<td>327<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>7<br /> | |||
</td> | |||
<td>downmajor third<br /> | |||
</td> | |||
<td>vM3<br /> | |||
</td> | |||
<td>382<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>8<br /> | |||
</td> | |||
<td>major third<br /> | |||
</td> | |||
<td>M3<br /> | |||
</td> | |||
<td>436<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>9<br /> | |||
</td> | |||
<td>perfect fourth<br /> | |||
</td> | |||
<td>P4<br /> | |||
</td> | |||
<td>491<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>10<br /> | |||
</td> | |||
<td>up-fourth or dim fifth<br /> | |||
</td> | |||
<td>^4 or d5<br /> | |||
</td> | |||
<td>545<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>11<br /> | |||
</td> | |||
<td>downaug fourth or updim fifth<br /> | |||
</td> | |||
<td>vA4 or ^d5<br /> | |||
</td> | |||
<td>600<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>12<br /> | |||
</td> | |||
<td>aug fourth or down-fifth<br /> | |||
</td> | |||
<td>A4 or v5<br /> | |||
</td> | |||
<td>655<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>13<br /> | |||
</td> | |||
<td>perfect fifth<br /> | |||
</td> | |||
<td>P5<br /> | |||
</td> | |||
<td>709<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>14<br /> | |||
</td> | |||
<td>minor sixth<br /> | |||
</td> | |||
<td>m6<br /> | |||
</td> | |||
<td>764<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>15<br /> | |||
</td> | |||
<td>upminor sixth<br /> | |||
</td> | |||
<td>^m6<br /> | |||
</td> | |||
<td>818<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>16<br /> | |||
</td> | |||
<td>downmajor sixth<br /> | |||
</td> | |||
<td>vM6<br /> | |||
</td> | |||
<td>873<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>17<br /> | |||
</td> | |||
<td>major sixth<br /> | |||
</td> | |||
<td>M6<br /> | |||
</td> | |||
<td>927<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>18<br /> | |||
</td> | |||
<td>minor seventh<br /> | |||
</td> | |||
<td>m7<br /> | |||
</td> | |||
<td>982<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>19<br /> | |||
</td> | |||
<td>upminor seventh<br /> | |||
</td> | |||
<td>^m7<br /> | |||
</td> | |||
<td>1036<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>20<br /> | |||
</td> | |||
<td>downmajor seventh<br /> | |||
</td> | |||
<td>vM7<br /> | |||
</td> | |||
<td>1091<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>21<br /> | |||
</td> | |||
<td>major seventh<br /> | |||
</td> | |||
<td>M7<br /> | |||
</td> | |||
<td>1145<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>22<br /> | |||
</td> | |||
<td>octave<br /> | |||
</td> | |||
<td>P8<br /> | |||
</td> | |||
<td>1200<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<br /> | |||
<br /> | |||
Another way to notate it is to use the porcupine generator to generate the notation as well. The 2nd and 7th are perfect, and the 4th and 5th are imperfect like the 3rd and 6th.<br /> | |||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc4"><a name="Theory-Intervals by degree (Porcupine)"></a><!-- ws:end:WikiTextHeadingRule:10 -->Intervals by degree (Porcupine)</h2> | |||
<table class="wiki_table"> | |||
<tr> | |||
<td>Degree<br /> | |||
</td> | |||
<td>Name<br /> | |||
</td> | |||
<td>Abbreviation<br /> | |||
</td> | |||
<td>Cents<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>0<br /> | |||
</td> | |||
<td>perfect unison<br /> | |||
</td> | |||
<td>P1<br /> | |||
</td> | |||
<td>0<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>1<br /> | |||
</td> | |||
<td>aug unison<br /> | |||
</td> | |||
<td>A1<br /> | |||
</td> | |||
<td>55<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>2<br /> | |||
</td> | |||
<td>dim second<br /> | |||
</td> | |||
<td>d2<br /> | |||
</td> | |||
<td>109<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>3<br /> | |||
</td> | |||
<td>perfect second<br /> | |||
</td> | |||
<td>P2<br /> | |||
</td> | |||
<td>164<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>4<br /> | |||
</td> | |||
<td>aug second<br /> | |||
</td> | |||
<td>A2<br /> | |||
</td> | |||
<td>218<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>5<br /> | |||
</td> | |||
<td>dim third<br /> | |||
</td> | |||
<td>d3<br /> | |||
</td> | |||
<td>273<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>6<br /> | |||
</td> | |||
<td>minor third<br /> | |||
</td> | |||
<td>m3<br /> | |||
</td> | |||
<td>327<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>7<br /> | |||
</td> | |||
<td>major third<br /> | |||
</td> | |||
<td>M3<br /> | |||
</td> | |||
<td>382<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>8<br /> | |||
</td> | |||
<td>aug third or dim fourth<br /> | |||
</td> | |||
<td>A3 or d4<br /> | |||
</td> | |||
<td>436<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>9<br /> | |||
</td> | |||
<td>minor fourth<br /> | |||
</td> | |||
<td>m4<br /> | |||
</td> | |||
<td>491<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>10<br /> | |||
</td> | |||
<td>major fourth<br /> | |||
</td> | |||
<td>M4<br /> | |||
</td> | |||
<td>545<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>11<br /> | |||
</td> | |||
<td>aug fourth or dim fifth<br /> | |||
</td> | |||
<td>A4 or d5<br /> | |||
</td> | |||
<td>600<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>12<br /> | |||
</td> | |||
<td>minor fifth<br /> | |||
</td> | |||
<td>m5<br /> | |||
</td> | |||
<td>655<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>13<br /> | |||
</td> | |||
<td>major fifth<br /> | |||
</td> | |||
<td>M5<br /> | |||
</td> | |||
<td>709<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>14<br /> | |||
</td> | |||
<td>aug fifth or dim sixth<br /> | |||
</td> | |||
<td>A5 or d6<br /> | |||
</td> | |||
<td>764<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>15<br /> | |||
</td> | |||
<td>minor sixth<br /> | |||
</td> | |||
<td>m6<br /> | |||
</td> | |||
<td>818<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>16<br /> | |||
</td> | |||
<td>major sixth<br /> | |||
</td> | |||
<td>M6<br /> | |||
</td> | |||
<td>873<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>17<br /> | |||
</td> | |||
<td>aug sixth<br /> | |||
</td> | |||
<td>A6<br /> | |||
</td> | |||
<td>927<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>18<br /> | |||
</td> | |||
<td>dim seventh<br /> | |||
</td> | |||
<td>d7<br /> | |||
</td> | |||
<td>982<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>19<br /> | |||
</td> | |||
<td>perfect seventh<br /> | |||
</td> | |||
<td>P7<br /> | |||
</td> | |||
<td>1036<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>20<br /> | |||
</td> | |||
<td>aug seventh<br /> | |||
</td> | |||
<td>A7<br /> | |||
</td> | |||
<td>1091<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>21<br /> | |||
</td> | |||
<td>dim octave<br /> | |||
</td> | |||
<td>d8<br /> | |||
</td> | |||
<td>1145<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>22<br /> | |||
</td> | |||
<td>octave<br /> | |||
</td> | |||
<td>P8<br /> | |||
</td> | |||
<td>1200<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
Yet another way is to notate it pentatonically. This is the only way to use a chain-of-fifths notation without special accidentals. The pentatonic degrees are unison, subthird, fourthoid, fifthoid, subseventh and octoid.<br /> | |||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc5"><a name="Theory-Intervals by degree (pentatonic)"></a><!-- ws:end:WikiTextHeadingRule:12 -->Intervals by degree (pentatonic)</h2> | |||
<table class="wiki_table"> | |||
<tr> | |||
<td>Degree<br /> | |||
</td> | |||
<td>Name<br /> | |||
</td> | |||
<td>Abbreviation<br /> | |||
</td> | |||
<td>Cents<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>0<br /> | |||
</td> | |||
<td>perfect unison<br /> | |||
</td> | |||
<td>P1<br /> | |||
</td> | |||
<td>0<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>1<br /> | |||
</td> | |||
<td>aug unison<br /> | |||
</td> | |||
<td>A1<br /> | |||
</td> | |||
<td>55<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>2<br /> | |||
</td> | |||
<td>double-aug unison or double-dim sub3rd<br /> | |||
</td> | |||
<td>AA1 or dds3<br /> | |||
</td> | |||
<td>109<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>3<br /> | |||
</td> | |||
<td>dim sub3rd<br /> | |||
</td> | |||
<td>ds3<br /> | |||
</td> | |||
<td>164<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>4<br /> | |||
</td> | |||
<td>minor sub3rd<br /> | |||
</td> | |||
<td>ms3<br /> | |||
</td> | |||
<td>218<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>5<br /> | |||
</td> | |||
<td>major sub3rd<br /> | |||
</td> | |||
<td>Ms3<br /> | |||
</td> | |||
<td>273<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>6<br /> | |||
</td> | |||
<td>aug sub3rd<br /> | |||
</td> | |||
<td>As3<br /> | |||
</td> | |||
<td>327<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>7<br /> | |||
</td> | |||
<td>double-aug sub3rd or double-dim 4thoid<br /> | |||
</td> | |||
<td>AAs3 or dd4d<br /> | |||
</td> | |||
<td>382<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>8<br /> | |||
</td> | |||
<td>dim 4thoid<br /> | |||
</td> | |||
<td>d4d<br /> | |||
</td> | |||
<td>436<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>9<br /> | |||
</td> | |||
<td>perfect 4thoid<br /> | |||
</td> | |||
<td>P4d<br /> | |||
</td> | |||
<td>491<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>10<br /> | |||
</td> | |||
<td>aug 4thoid<br /> | |||
</td> | |||
<td>A4d<br /> | |||
</td> | |||
<td>545<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>11<br /> | |||
</td> | |||
<td>double-aug 4thoid or double-dim 5thoid<br /> | |||
</td> | |||
<td>AA4d or dd5d<br /> | |||
</td> | |||
<td>600<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>12<br /> | |||
</td> | |||
<td>dim 5thoid<br /> | |||
</td> | |||
<td>d5d<br /> | |||
</td> | |||
<td>655<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>13<br /> | |||
</td> | |||
<td>perfect 5thoid<br /> | |||
</td> | |||
<td>P5d<br /> | |||
</td> | |||
<td>709<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>14<br /> | |||
</td> | |||
<td>aug 5thoid<br /> | |||
</td> | |||
<td>A5d<br /> | |||
</td> | |||
<td>764<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>15<br /> | |||
</td> | |||
<td>double-aug 5thoid or double-dim sub7th<br /> | |||
</td> | |||
<td>AA5d or dds7<br /> | |||
</td> | |||
<td>818<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>16<br /> | |||
</td> | |||
<td>dim sub7th<br /> | |||
</td> | |||
<td>ds7<br /> | |||
</td> | |||
<td>873<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>17<br /> | |||
</td> | |||
<td>minor sub7th<br /> | |||
</td> | |||
<td>ms7<br /> | |||
</td> | |||
<td>927<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>18<br /> | |||
</td> | |||
<td>major sub7th<br /> | |||
</td> | |||
<td>Ms7<br /> | |||
</td> | |||
<td>982<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>19<br /> | |||
</td> | |||
<td>aug sub7th<br /> | |||
</td> | |||
<td>As7<br /> | |||
</td> | |||
<td>1036<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>20<br /> | |||
</td> | |||
<td>double-aug sub7th or double-dim octoid<br /> | |||
</td> | |||
<td>AAs7 or dd8d<br /> | |||
</td> | |||
<td>1091<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>21<br /> | |||
</td> | |||
<td>dim octoid<br /> | |||
</td> | |||
<td>d8d<br /> | |||
</td> | |||
<td>1145<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>22<br /> | |||
</td> | |||
<td>octave<br /> | |||
</td> | |||
<td>P8<br /> | |||
</td> | |||
<td>1200<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc6"><!-- ws:end:WikiTextHeadingRule:14 --> </h2> | |||
<!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc7"><a name="Theory-Selected just intervals by error"></a><!-- ws:end:WikiTextHeadingRule:16 -->Selected just intervals by error</h2> | |||
The following table shows how <a class="wiki_link" href="/Just-24">some prominent just intervals</a> are represented in 22edo (ordered by absolute error).<br /> | The following table shows how <a class="wiki_link" href="/Just-24">some prominent just intervals</a> are represented in 22edo (ordered by absolute error).<br /> | ||
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<!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/24838814?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;24838814&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><object id="example" type="image/svg+xml" data="http://xenharmonic.wikispaces.com/file/view/22ed2-001e.svg">alt : Your browser has no SVG support.</object><!-- ws:end:WikiTextMediaRule:0 --><br /> | <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/24838814?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;24838814&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><object id="example" type="image/svg+xml" data="http://xenharmonic.wikispaces.com/file/view/22ed2-001e.svg">alt : Your browser has no SVG support.</object><!-- ws:end:WikiTextMediaRule:0 --><br /> | ||
<br /> | <br /> | ||
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<br /> | <br /> | ||
See also: <a class="wiki_link" href="/22edo%20Solfege">22edo Solfege</a>, <a class="wiki_link" href="/22edo%20Tetrachords">22edo Tetrachords</a>, <a class="wiki_link" href="/22%20EDO%20Chords">22 EDO Chords</a>, <a class="wiki_link" href="/22edo%20Modes">22edo Modes</a><br /> | See also: <a class="wiki_link" href="/22edo%20Solfege">22edo Solfege</a>, <a class="wiki_link" href="/22edo%20Tetrachords">22edo Tetrachords</a>, <a class="wiki_link" href="/22%20EDO%20Chords">22 EDO Chords</a>, <a class="wiki_link" href="/22edo%20Modes">22edo Modes</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc8"><a name="Theory-Properties of 22 equal temperament"></a><!-- ws:end:WikiTextHeadingRule:18 -->Properties of 22 equal temperament</h2> | ||
<br /> | <br /> | ||
Possibly the most striking characteristic of 22-et to those not used to it is that it does <strong>not</strong> &quot;temper out&quot; the syntonic comma of 81/80, and therefore is not a system of <a class="wiki_link" href="/Regular%20Temperaments#meantone">meantone</a> temperament. This means that 22 distinguishes a number of Pythagorean and 5-limit intervals that 12-EDO does not distinguish, such as the two whole tones 9/8 and 10/9. Indeed, these distinctions are exaggerated in comparison to 5-limit JI and many more accurate temperaments such as <a class="wiki_link" href="/34edo">34edo</a>, <a class="wiki_link" href="/41edo">41edo</a> and <a class="wiki_link" href="/53edo">53edo</a>.<br /> | Possibly the most striking characteristic of 22-et to those not used to it is that it does <strong>not</strong> &quot;temper out&quot; the syntonic comma of 81/80, and therefore is not a system of <a class="wiki_link" href="/Regular%20Temperaments#meantone">meantone</a> temperament. This means that 22 distinguishes a number of Pythagorean and 5-limit intervals that 12-EDO does not distinguish, such as the two whole tones 9/8 and 10/9. Indeed, these distinctions are exaggerated in comparison to 5-limit JI and many more accurate temperaments such as <a class="wiki_link" href="/34edo">34edo</a>, <a class="wiki_link" href="/41edo">41edo</a> and <a class="wiki_link" href="/53edo">53edo</a>.<br /> | ||
| Line 758: | Line 1,589: | ||
As 22 is divisible by 11, a 22edo instrument can play any music in <a class="wiki_link" href="/11edo">11edo</a>, in the same way that 12edo can play 6edo (the whole tone scale). 11-equal is interesting for sounding melodically very similar to 12-equal (whole steps, half steps and minor thirds in the familiar 1:2:3 ratio), but harmonically very different, in particular because it lacks perfect fifths/fourths and 5-limit major thirds/minor sixths. Similarly, 22edo is melodically similar to 24edo as both contain quarter-tones and minor, neutral, and major seconds; but 22edo offers much better all-around harmonies than 24. In <a class="wiki_link" href="/Sagittal">Sagittal</a>, 11 can be notated as every other note of 22.<br /> | As 22 is divisible by 11, a 22edo instrument can play any music in <a class="wiki_link" href="/11edo">11edo</a>, in the same way that 12edo can play 6edo (the whole tone scale). 11-equal is interesting for sounding melodically very similar to 12-equal (whole steps, half steps and minor thirds in the familiar 1:2:3 ratio), but harmonically very different, in particular because it lacks perfect fifths/fourths and 5-limit major thirds/minor sixths. Similarly, 22edo is melodically similar to 24edo as both contain quarter-tones and minor, neutral, and major seconds; but 22edo offers much better all-around harmonies than 24. In <a class="wiki_link" href="/Sagittal">Sagittal</a>, 11 can be notated as every other note of 22.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:20:&lt;h3&gt; --><h3 id="toc9"><a name="Theory-Properties of 22 equal temperament-Rank Two Temperaments"></a><!-- ws:end:WikiTextHeadingRule:20 -->Rank Two Temperaments</h3> | ||
<a class="wiki_link" href="/List%20of%2022et%20rank%20two%20temperaments%20by%20badness">List of 22et rank two temperaments by badness</a><br /> | <a class="wiki_link" href="/List%20of%2022et%20rank%20two%20temperaments%20by%20badness">List of 22et rank two temperaments by badness</a><br /> | ||
<a class="wiki_link" href="/List%20of%2022et%20rank%20two%20temperaments%20by%20complexity">List of 22et rank two temperaments by complexity</a><br /> | <a class="wiki_link" href="/List%20of%2022et%20rank%20two%20temperaments%20by%20complexity">List of 22et rank two temperaments by complexity</a><br /> | ||
| Line 864: | Line 1,695: | ||
</table> | </table> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:22:&lt;h3&gt; --><h3 id="toc10"><a name="Theory-Properties of 22 equal temperament-Commas"></a><!-- ws:end:WikiTextHeadingRule:22 -->Commas</h3> | ||
22 EDO tempers out the following commas. (Note: This assumes the val &lt; 22 35 51 62 76 81 |.)<br /> | 22 EDO tempers out the following commas. (Note: This assumes the val &lt; 22 35 51 62 76 81 |.)<br /> | ||
| Line 1,292: | Line 2,123: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:24:&lt;h3&gt; --><h3 id="toc11"><a name="Theory-Properties of 22 equal temperament-How to Notate 22edo in Sagittal"></a><!-- ws:end:WikiTextHeadingRule:24 -->How to Notate 22edo in Sagittal</h3> | ||
<br /> | <br /> | ||
When 22edo is treated as generated by a cycle of its fifths, the naturals F C G D A E B represent a chain of those 13\22 fifths; consequently, the whole tone comes out to four degrees and the apotome (pythagorean sharp/flat) comes out to three degrees. Three pairs of sagittal symbols, dividing that apotome into three parts, are all that is necessary, and offer plenty of enharmonic equivalents:<br /> | When 22edo is treated as generated by a cycle of its fifths, the naturals F C G D A E B represent a chain of those 13\22 fifths; consequently, the whole tone comes out to four degrees and the apotome (pythagorean sharp/flat) comes out to three degrees. Three pairs of sagittal symbols, dividing that apotome into three parts, are all that is necessary, and offer plenty of enharmonic equivalents:<br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:1879:&lt;img src=&quot;/file/view/22edo.png/269078624/22edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/22edo.png/269078624/22edo.png" alt="22edo.png" title="22edo.png" /><!-- ws:end:WikiTextLocalImageRule:1879 --><br /> | ||
This notation is consistent with Sagittal's notation of 5-limit JI harmony: &quot;major&quot; 3rds and 6ths appear as (super)pythagorean intervals flattened by a syntonic comma.<br /> | This notation is consistent with Sagittal's notation of 5-limit JI harmony: &quot;major&quot; 3rds and 6ths appear as (super)pythagorean intervals flattened by a syntonic comma.<br /> | ||
<br /> | <br /> | ||
The division of the apotome into three syntonic commas also indicates 22's tempering out of the <a class="wiki_link" href="/250_243">porcupine comma</a> (which is equivalent to three syntonic commas minus a Pythagorean apotome).<br /> | The division of the apotome into three syntonic commas also indicates 22's tempering out of the <a class="wiki_link" href="/250_243">porcupine comma</a> (which is equivalent to three syntonic commas minus a Pythagorean apotome).<br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:26:&lt;h1&gt; --><h1 id="toc12"><a name="The Decatonic System"></a><!-- ws:end:WikiTextHeadingRule:26 -->The Decatonic System</h1> | ||
<span style="background-color: #ffffff; font-family: Arial,Verdana,sans-serif; font-size: 13.3333px;">The decatonic system is an approach of notation based on Paul Erlich's decatonic scales. Unlike typical notation, the decatonic system bases music into a 10 tone scale rather than 7. </span><br /> | <span style="background-color: #ffffff; font-family: Arial,Verdana,sans-serif; font-size: 13.3333px;">The decatonic system is an approach of notation based on Paul Erlich's decatonic scales. Unlike typical notation, the decatonic system bases music into a 10 tone scale rather than 7. </span><br /> | ||
<span style="background-color: #ffffff; display: block; font-family: Arial,Verdana,sans-serif; font-size: 13.3333px;">This approach requires an entire re-learning of chords, intervals, and notation but the advantage is that it allows 22 EDO to be notated using only one pair of accidentals, as well as</span><span style="background-color: #ffffff; display: block; font-family: Arial,Verdana,sans-serif; font-size: 13.3333px;">gives the opportunity to escape a heptatonic thinking pattern.</span><br /> | <span style="background-color: #ffffff; display: block; font-family: Arial,Verdana,sans-serif; font-size: 13.3333px;">This approach requires an entire re-learning of chords, intervals, and notation but the advantage is that it allows 22 EDO to be notated using only one pair of accidentals, as well as</span><span style="background-color: #ffffff; display: block; font-family: Arial,Verdana,sans-serif; font-size: 13.3333px;">gives the opportunity to escape a heptatonic thinking pattern.</span><br /> | ||
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<span style="background-color: #ffffff; display: block; font-family: Arial,Verdana,sans-serif; font-size: 13.3333px;"><br /> | <span style="background-color: #ffffff; display: block; font-family: Arial,Verdana,sans-serif; font-size: 13.3333px;"><br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:28:&lt;h2&gt; --><h2 id="toc13"><a name="The Decatonic System-Decatonic Alphabet"></a><!-- ws:end:WikiTextHeadingRule:28 --><!-- ws:start:WikiTextAnchorRule:58:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@TOC-Decatonic-Alphabet&quot; title=&quot;Anchor: TOC-Decatonic-Alphabet&quot;/&gt; --><a name="TOC-Decatonic-Alphabet"></a><!-- ws:end:WikiTextAnchorRule:58 -->Decatonic Alphabet</h2> | ||
</span><span style="background-color: #ffffff; display: block; font-family: Arial,Verdana,sans-serif; font-size: 13.3333px;">The system is based on two chains of fifths. One represented by latin letters, the other greek. The two chains can be looked at as two juxtaposed pentatonic scales.</span><br /> | </span><span style="background-color: #ffffff; display: block; font-family: Arial,Verdana,sans-serif; font-size: 13.3333px;">The system is based on two chains of fifths. One represented by latin letters, the other greek. The two chains can be looked at as two juxtaposed pentatonic scales.</span><br /> | ||
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<span style="background-color: #ffffff; display: block; font-family: Arial,Verdana,sans-serif; font-size: 13.3333px;">The alphabet is ascending order: C<span style="font-family: helvetica,arial,sans-serif; font-size: 12px;"> δ D ε E γ G α A β C </span></span><span style="background-color: #ffffff; display: block; font-family: Arial,Verdana,sans-serif; font-size: 13.3333px;"><br /> | <span style="background-color: #ffffff; display: block; font-family: Arial,Verdana,sans-serif; font-size: 13.3333px;">The alphabet is ascending order: C<span style="font-family: helvetica,arial,sans-serif; font-size: 12px;"> δ D ε E γ G α A β C </span></span><span style="background-color: #ffffff; display: block; font-family: Arial,Verdana,sans-serif; font-size: 13.3333px;"><br /> | ||
</span><span style="background-color: #ffffff; display: block; font-family: Arial,Verdana,sans-serif; font-size: 13.3333px;"><span style="font-family: helvetica,arial,sans-serif; font-size: 12px;">In this alphabet, a chain of fifths is preserved because equivalent greek letters also represent fifths if they are the same as their latin counter parts. For example G D is a fifth as well as </span><span style="color: #141823; font-family: helvetica,arial,sans-serif; font-size: 14px;">γ δ. </span></span><br /> | </span><span style="background-color: #ffffff; display: block; font-family: Arial,Verdana,sans-serif; font-size: 13.3333px;"><span style="font-family: helvetica,arial,sans-serif; font-size: 12px;">In this alphabet, a chain of fifths is preserved because equivalent greek letters also represent fifths if they are the same as their latin counter parts. For example G D is a fifth as well as </span><span style="color: #141823; font-family: helvetica,arial,sans-serif; font-size: 14px;">γ δ. </span></span><br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc14"><!-- ws:end:WikiTextHeadingRule:30 --> </h1> | ||
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<span style="background-color: #ffffff; display: block; font-family: Arial,Verdana,sans-serif; font-size: 13.3333px;"><br /> | <span style="background-color: #ffffff; display: block; font-family: Arial,Verdana,sans-serif; font-size: 13.3333px;"><br /> | ||
</span><br /> | </span><br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:32:&lt;h2&gt; --><h2 id="toc15"><a name="The Decatonic System-External links"></a><!-- ws:end:WikiTextHeadingRule:32 -->External links</h2> | ||
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<a class="wiki_link_ext" href="http://lumma.org/tuning/erlich/erlich-decatonic.pdf" rel="nofollow">Erlich, Paul, ''Tuning, Tonality, and Twenty-Two Tone Temperament''</a><br /> | <a class="wiki_link_ext" href="http://lumma.org/tuning/erlich/erlich-decatonic.pdf" rel="nofollow">Erlich, Paul, ''Tuning, Tonality, and Twenty-Two Tone Temperament''</a><br /> | ||
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<a class="wiki_link_ext" href="http://porcupinemusic.weebly.com/" rel="nofollow">&quot;Porcupine Music&quot; - Website Focused on the Development of 22 EDO music </a><br /> | <a class="wiki_link_ext" href="http://porcupinemusic.weebly.com/" rel="nofollow">&quot;Porcupine Music&quot; - Website Focused on the Development of 22 EDO music </a><br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:34:&lt;h2&gt; --><h2 id="toc16"><a name="The Decatonic System-References"></a><!-- ws:end:WikiTextHeadingRule:34 -->References</h2> | ||
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Barbour, James Murray, ''Tuning and temperament, a historical survey'', East Lansing, Michigan State College Press, 1953 [c1951]<br /> | Barbour, James Murray, ''Tuning and temperament, a historical survey'', East Lansing, Michigan State College Press, 1953 [c1951]<br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:36:&lt;h1&gt; --><h1 id="toc17"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:36 -->Music</h1> | ||
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<ul><li><a class="wiki_link_ext" href="https://soundcloud.com/overtoneshock/dose-of-familiarityode-to-microtonality-22-edo-studio-version" rel="nofollow" target="_blank">Stephen Weigel · Dose Of Familiarity/Ode to Microtonality</a></li><li><a class="wiki_link_ext" href="http://soonlabel.com/xenharmonic/archives/1145" rel="nofollow" target="_blank">Canon 2 in 1 upon a ground (22edo)</a> by Claudi Meneghin</li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://music.columbia.edu/%7Echris/sounds/TIBIA.mp3" rel="nofollow">Tibia</a></span></span> by <a class="wiki_link" href="/Paul%20Erlich">Paul Erlich</a><ul><li>Sagittal score of Tibia, <a href="http://xenharmonic.wikispaces.com/file/view/TIBIA.pdf/313029038/TIBIA.pdf" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/TIBIA.pdf/313029038/TIBIA.pdf');">in F||\</a> or <a href="http://xenharmonic.wikispaces.com/file/view/tibia%20in%20g.pdf/313029040/tibia%20in%20g.pdf" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/tibia%20in%20g.pdf/313029040/tibia%20in%20g.pdf');">in G</a></li></ul></li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://www.myspace.com/paulerlich/music/songs/glassic-in-22-tone-equal-temperament-45202095" rel="nofollow">Glassic</a></span></span> by Paul Erlich and <a class="wiki_link" href="/Ara%20Sarkissian">Ara Sarkissian</a></li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://lumma.org/tuning/erlich/decatonic-swing.mp3" rel="nofollow">Decatonic Swing</a></span></span> by Paul Erlich and Ara Sarkissian (jazz)</li><li><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/12-22hexachordal%20Dirge.mp3" rel="nofollow">12-22hexachordal Dirge</a> by <a class="wiki_link" href="/Joel%20Grant%20Taylor">Joel Grant Taylor</a></li><li><a class="wiki_link_ext" href="https://soundcloud.com/jdfreivald/chord-sequence-in-paul-erlichs" rel="nofollow" target="_blank">Chord sequence in Paul Erlich's 22 EDO decatonic major</a> by <a class="wiki_link" href="/Jake%20Freivald">Jake Freivald</a></li><li><a class="wiki_link_ext" href="https://soundcloud.com/jdfreivald/porcupine-comma-pump" rel="nofollow">Porcupine Comma Pump</a> by <a class="wiki_link" href="/Jake%20Freivald">Jake Freivald</a></li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/City%20Of%20The%20Asleep%20-%20Dragged%20By%20a%20Storm%20Across%20the%20Desert%20Years.mp3" rel="nofollow">Dragged by a Storm Across the Desert Years</a></span></span> by * <a class="wiki_link" href="/IgliashonJones">Igliashon Jones</a> (synth with electric guitar)</li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/City%20Of%20The%20Asleep%20-%2022-Numerology.mp3" rel="nofollow">Numerology</a></span></span> by Iglashion Jones (progressive metal)</li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/City%20Of%20The%20Asleep%20-%2022-Revenge%20of%20the%20Inorganic%20Compounds.mp3" rel="nofollow">Revenge of the inorganic compounds</a></span></span> by Iglashion Jones (progressive metal)</li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=267" rel="nofollow">My Crazy Aunt Sophie</a> <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/22-ET/22edo-piano-my-crazy-aunt-sophie.mp3" rel="nofollow">play</a></span></span> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a>. Blatantly xenharmonic piano.</li><li><a class="wiki_link_ext" href="http://soundclick.com/share?songid=8839058" rel="nofollow">where words are said to mean</a> <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Heathwaite/andrewheathwaite+wherewordsaresaidtomean.mp3" rel="nofollow">play</a></span></span> by <a class="wiki_link" href="/Andrew%20Heathwaite">Andrew Heathwaite</a>, a setting of a text by Herbert Brün to a 22-tone row, thrice repeated. This &amp; the following pieces by Andrew are for 22-tone guitar &amp; voice.</li><li><a class="wiki_link_ext" href="http://soundclick.com/share?songid=9101704" rel="nofollow">I've come with a bucket of roses</a> <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Heathwaite/andrewheathwaite+ivecomewithabucketofroses.mp3" rel="nofollow">play</a></span></span> by Andrew Heathwaite (orwell-9: 3 2 3 2 3 2 3 2 2).</li><li><a class="wiki_link_ext" href="http://soundclick.com/share?songid=9101705" rel="nofollow">one drop of rain</a> <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Heathwaite/andrewheathwaite+onedropofrain.mp3" rel="nofollow">play</a></span></span> by Andrew Heathwaite (orwell-9).</li><li><a class="wiki_link_ext" href="http://soundclick.com/share?songid=8839060" rel="nofollow">being a</a> <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Heathwaite/andrewheathwaite+beinga.mp3" rel="nofollow">play</a></span></span> by Andrew Heathwaite (porcupine-8: 3 1 3 3 3 3 3).</li><li><a class="wiki_link_ext" href="http://soundclick.com/share?songid=8839071" rel="nofollow">my own house</a> <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Heathwaite/andrewheathwaite+myownhouse.mp3" rel="nofollow">play</a></span></span> by Andrew Heathwaite (a pelog-flavored subset of orwell-9: 3 2 7 3 7).</li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/17%20-%2017.%2022%20octave.mp3" rel="nofollow">Comets Over Flatland 17</a></span></span> by <a class="wiki_link" href="/Randy%20Winchester">Randy Winchester</a></li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://www.archive.org/download/NightOnPorcupineMountain/Genewardsmithmussorgsky-NightOnPorcupineMountain.mp3" rel="nofollow">Night on Porcupine Mountain</a></span></span> Mussorgsky-Smith</li><li><span class="ywp-page-play-pause ywp-page-video ywp-link-hover"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=lO5xSjIHyMg" rel="nofollow">Paul Erlich 22-Equal Guitar Improvisation Shredfest Insanity</a></span></span> - youtube</li><li><span class="ywp-page-play-pause ywp-page-video ywp-link-hover"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=WMtp9Wk0tO0" rel="nofollow">Improvisation in 22-equal temperament</a></span></span>, Mike Battaglia - youtube</li><li>Boxwood Forest, Dream Tone, The Eternal Sleep, Sunday Pipes, Twisted Clowns - <a class="wiki_link_ext" href="http://www.angelfire.com/mo/oljare/midicomp.html" rel="nofollow">MIDI files</a> by Mats Öljare<ul><li><a href="http://xenharmonic.wikispaces.com/file/view/sunday3.pdf/269076436/sunday3.pdf" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/sunday3.pdf/269076436/sunday3.pdf');">Sagittal score of Sunday Pipes</a></li></ul></li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/22-ET/20120207-phobos-light-hedgehog14.mp3" rel="nofollow">Phobos Light</a></span> by Chris Vaisvil in Hedgehog[14] <a class="wiki_link" href="/hedgehog14">tuned</a> to 22edo.</li><li><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/22-ET/20120716_theorbo_22edo.mp3" rel="nofollow">The Capture and Release of the Fairy</a></em> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a> =&gt; <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=2494" rel="nofollow">blog post presentation</a></li><li><em><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=oNJr1YOOqF8" rel="nofollow">Yak Butter</a></em> by The Stern Brocot Band, 1L6s MOS, compressed period/generator</li><li><a class="wiki_link_ext" href="http://www.archive.org/download/Sevish_-_Golden_Hour/Sevish_-_03_-_Dirty_Drummer_vbr.mp3" rel="nofollow">Dirty Drummer</a>, Sevish</li><li><a class="wiki_link_ext" href="http://www.archive.org/download/Sevish_-_Golden_Hour/Sevish_-_12_-_Ganymede_vbr.mp3" rel="nofollow">Ganymede</a>, Sevish (doesn't sound that xen, but it's in 22-edo)</li><li><a class="wiki_link_ext" href="http://www.archive.org/download/HumanAstronomy/03Sevish-Ambrosia.mp3" rel="nofollow">Ambrosia</a>, Sevish</li><li><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/22-ET/20120726-from-the-sky-islands-they-came.mp3" rel="nofollow">From the Sky Islands They Came</a></em> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a> =&gt; <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=2523" rel="nofollow">blog post presentation</a></li><li><a class="wiki_link_ext" href="http://micro.soonlabel.com/22-ET/20120616-12-22h.scl-smoke-filled-bar.mp3" rel="nofollow">Smoke Filled Bar</a> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a> =&gt; <a class="wiki_link_ext" href="http://chrisvaisvil.com/smoke-filled-bar/" rel="nofollow" target="_blank">blog presentation</a></li><li><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Sultan/__Recurring_Mimosa_by_Redrick_Sultan.mp3" rel="nofollow">Recurring Mimosa</a> by <a class="wiki_link_ext" href="https://soundcloud.com/redrick-sultan/recurring-mimosa" rel="nofollow">Redrick Sultan</a></li><li>The Saharan Pump by Chris Vaisvil <a class="wiki_link_ext" href="http://chrisvaisvil.com/the-saharan-pump-22-edo-rock/" rel="nofollow">blog post</a></li><li><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=qHHv3mwJTlg" rel="nofollow" target="_blank">Short piece and demonstration</a> (video) by <a class="wiki_link_ext" href="http://brendanbyrnes.com/" rel="nofollow" target="_blank">Brendan Byrnes</a> (electric guitar)</li><li><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Byrnes/Brendan%20Byrnes%20-%2022%20EDO%20Guitar%20Etude.mp3" rel="nofollow">22 EDO Guitar Etude</a> by <a class="wiki_link_ext" href="http://brendanbyrnes.bandcamp.com/" rel="nofollow">Brendan Byrnes</a></li><li><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Byrnes/Brendan%20Byrnes%20-%20Llurion.mp3" rel="nofollow">Llurion</a> by <a class="wiki_link_ext" href="http://brendanbyrnes.bandcamp.com/track/llurion" rel="nofollow">Brendan Byrnes</a></li><li><a class="wiki_link_ext" href="https://youtu.be/0VLJXecjYK4" rel="nofollow" target="_blank">Imzadi</a> by <a class="wiki_link_ext" href="http://omega9.github.io/" rel="nofollow" target="_blank">Omega9</a></li><li><a class="wiki_link_ext" href="http://micro.soonlabel.com/22-ET/20150910_22edo.mp3" rel="nofollow">22 edo electric guitar duet</a> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a></li><li><a class="wiki_link_ext" href="https://soundcloud.com/gareth-hearne/mass-in-22edo-sanctus" rel="nofollow">Mass in 22edo - Sanctus</a> by <a class="wiki_link" href="/Gareth%20Hearne">Gareth Hearne</a></li><li><a class="wiki_link_ext" href="https://soundcloud.com/gareth-hearne/mass-in-22edo-agnus-dei" rel="nofollow">Mass in 22edo - Agnus Dei</a> by Gareth Hearne</li></ul><br /> | <ul><li><a class="wiki_link_ext" href="https://soundcloud.com/overtoneshock/dose-of-familiarityode-to-microtonality-22-edo-studio-version" rel="nofollow" target="_blank">Stephen Weigel · Dose Of Familiarity/Ode to Microtonality</a></li><li><a class="wiki_link_ext" href="http://soonlabel.com/xenharmonic/archives/1145" rel="nofollow" target="_blank">Canon 2 in 1 upon a ground (22edo)</a> by Claudi Meneghin</li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://music.columbia.edu/%7Echris/sounds/TIBIA.mp3" rel="nofollow">Tibia</a></span></span> by <a class="wiki_link" href="/Paul%20Erlich">Paul Erlich</a><ul><li>Sagittal score of Tibia, <a href="http://xenharmonic.wikispaces.com/file/view/TIBIA.pdf/313029038/TIBIA.pdf" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/TIBIA.pdf/313029038/TIBIA.pdf');">in F||\</a> or <a href="http://xenharmonic.wikispaces.com/file/view/tibia%20in%20g.pdf/313029040/tibia%20in%20g.pdf" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/tibia%20in%20g.pdf/313029040/tibia%20in%20g.pdf');">in G</a></li></ul></li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://www.myspace.com/paulerlich/music/songs/glassic-in-22-tone-equal-temperament-45202095" rel="nofollow">Glassic</a></span></span> by Paul Erlich and <a class="wiki_link" href="/Ara%20Sarkissian">Ara Sarkissian</a></li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://lumma.org/tuning/erlich/decatonic-swing.mp3" rel="nofollow">Decatonic Swing</a></span></span> by Paul Erlich and Ara Sarkissian (jazz)</li><li><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/12-22hexachordal%20Dirge.mp3" rel="nofollow">12-22hexachordal Dirge</a> by <a class="wiki_link" href="/Joel%20Grant%20Taylor">Joel Grant Taylor</a></li><li><a class="wiki_link_ext" href="https://soundcloud.com/jdfreivald/chord-sequence-in-paul-erlichs" rel="nofollow" target="_blank">Chord sequence in Paul Erlich's 22 EDO decatonic major</a> by <a class="wiki_link" href="/Jake%20Freivald">Jake Freivald</a></li><li><a class="wiki_link_ext" href="https://soundcloud.com/jdfreivald/porcupine-comma-pump" rel="nofollow">Porcupine Comma Pump</a> by <a class="wiki_link" href="/Jake%20Freivald">Jake Freivald</a></li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/City%20Of%20The%20Asleep%20-%20Dragged%20By%20a%20Storm%20Across%20the%20Desert%20Years.mp3" rel="nofollow">Dragged by a Storm Across the Desert Years</a></span></span> by * <a class="wiki_link" href="/IgliashonJones">Igliashon Jones</a> (synth with electric guitar)</li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/City%20Of%20The%20Asleep%20-%2022-Numerology.mp3" rel="nofollow">Numerology</a></span></span> by Iglashion Jones (progressive metal)</li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/City%20Of%20The%20Asleep%20-%2022-Revenge%20of%20the%20Inorganic%20Compounds.mp3" rel="nofollow">Revenge of the inorganic compounds</a></span></span> by Iglashion Jones (progressive metal)</li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=267" rel="nofollow">My Crazy Aunt Sophie</a> <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/22-ET/22edo-piano-my-crazy-aunt-sophie.mp3" rel="nofollow">play</a></span></span> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a>. Blatantly xenharmonic piano.</li><li><a class="wiki_link_ext" href="http://soundclick.com/share?songid=8839058" rel="nofollow">where words are said to mean</a> <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Heathwaite/andrewheathwaite+wherewordsaresaidtomean.mp3" rel="nofollow">play</a></span></span> by <a class="wiki_link" href="/Andrew%20Heathwaite">Andrew Heathwaite</a>, a setting of a text by Herbert Brün to a 22-tone row, thrice repeated. This &amp; the following pieces by Andrew are for 22-tone guitar &amp; voice.</li><li><a class="wiki_link_ext" href="http://soundclick.com/share?songid=9101704" rel="nofollow">I've come with a bucket of roses</a> <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Heathwaite/andrewheathwaite+ivecomewithabucketofroses.mp3" rel="nofollow">play</a></span></span> by Andrew Heathwaite (orwell-9: 3 2 3 2 3 2 3 2 2).</li><li><a class="wiki_link_ext" href="http://soundclick.com/share?songid=9101705" rel="nofollow">one drop of rain</a> <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Heathwaite/andrewheathwaite+onedropofrain.mp3" rel="nofollow">play</a></span></span> by Andrew Heathwaite (orwell-9).</li><li><a class="wiki_link_ext" href="http://soundclick.com/share?songid=8839060" rel="nofollow">being a</a> <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Heathwaite/andrewheathwaite+beinga.mp3" rel="nofollow">play</a></span></span> by Andrew Heathwaite (porcupine-8: 3 1 3 3 3 3 3).</li><li><a class="wiki_link_ext" href="http://soundclick.com/share?songid=8839071" rel="nofollow">my own house</a> <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Heathwaite/andrewheathwaite+myownhouse.mp3" rel="nofollow">play</a></span></span> by Andrew Heathwaite (a pelog-flavored subset of orwell-9: 3 2 7 3 7).</li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/17%20-%2017.%2022%20octave.mp3" rel="nofollow">Comets Over Flatland 17</a></span></span> by <a class="wiki_link" href="/Randy%20Winchester">Randy Winchester</a></li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://www.archive.org/download/NightOnPorcupineMountain/Genewardsmithmussorgsky-NightOnPorcupineMountain.mp3" rel="nofollow">Night on Porcupine Mountain</a></span></span> Mussorgsky-Smith</li><li><span class="ywp-page-play-pause ywp-page-video ywp-link-hover"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=lO5xSjIHyMg" rel="nofollow">Paul Erlich 22-Equal Guitar Improvisation Shredfest Insanity</a></span></span> - youtube</li><li><span class="ywp-page-play-pause ywp-page-video ywp-link-hover"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=WMtp9Wk0tO0" rel="nofollow">Improvisation in 22-equal temperament</a></span></span>, Mike Battaglia - youtube</li><li>Boxwood Forest, Dream Tone, The Eternal Sleep, Sunday Pipes, Twisted Clowns - <a class="wiki_link_ext" href="http://www.angelfire.com/mo/oljare/midicomp.html" rel="nofollow">MIDI files</a> by Mats Öljare<ul><li><a href="http://xenharmonic.wikispaces.com/file/view/sunday3.pdf/269076436/sunday3.pdf" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/sunday3.pdf/269076436/sunday3.pdf');">Sagittal score of Sunday Pipes</a></li></ul></li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/22-ET/20120207-phobos-light-hedgehog14.mp3" rel="nofollow">Phobos Light</a></span> by Chris Vaisvil in Hedgehog[14] <a class="wiki_link" href="/hedgehog14">tuned</a> to 22edo.</li><li><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/22-ET/20120716_theorbo_22edo.mp3" rel="nofollow">The Capture and Release of the Fairy</a></em> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a> =&gt; <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=2494" rel="nofollow">blog post presentation</a></li><li><em><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=oNJr1YOOqF8" rel="nofollow">Yak Butter</a></em> by The Stern Brocot Band, 1L6s MOS, compressed period/generator</li><li><a class="wiki_link_ext" href="http://www.archive.org/download/Sevish_-_Golden_Hour/Sevish_-_03_-_Dirty_Drummer_vbr.mp3" rel="nofollow">Dirty Drummer</a>, Sevish</li><li><a class="wiki_link_ext" href="http://www.archive.org/download/Sevish_-_Golden_Hour/Sevish_-_12_-_Ganymede_vbr.mp3" rel="nofollow">Ganymede</a>, Sevish (doesn't sound that xen, but it's in 22-edo)</li><li><a class="wiki_link_ext" href="http://www.archive.org/download/HumanAstronomy/03Sevish-Ambrosia.mp3" rel="nofollow">Ambrosia</a>, Sevish</li><li><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/22-ET/20120726-from-the-sky-islands-they-came.mp3" rel="nofollow">From the Sky Islands They Came</a></em> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a> =&gt; <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=2523" rel="nofollow">blog post presentation</a></li><li><a class="wiki_link_ext" href="http://micro.soonlabel.com/22-ET/20120616-12-22h.scl-smoke-filled-bar.mp3" rel="nofollow">Smoke Filled Bar</a> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a> =&gt; <a class="wiki_link_ext" href="http://chrisvaisvil.com/smoke-filled-bar/" rel="nofollow" target="_blank">blog presentation</a></li><li><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Sultan/__Recurring_Mimosa_by_Redrick_Sultan.mp3" rel="nofollow">Recurring Mimosa</a> by <a class="wiki_link_ext" href="https://soundcloud.com/redrick-sultan/recurring-mimosa" rel="nofollow">Redrick Sultan</a></li><li>The Saharan Pump by Chris Vaisvil <a class="wiki_link_ext" href="http://chrisvaisvil.com/the-saharan-pump-22-edo-rock/" rel="nofollow">blog post</a></li><li><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=qHHv3mwJTlg" rel="nofollow" target="_blank">Short piece and demonstration</a> (video) by <a class="wiki_link_ext" href="http://brendanbyrnes.com/" rel="nofollow" target="_blank">Brendan Byrnes</a> (electric guitar)</li><li><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Byrnes/Brendan%20Byrnes%20-%2022%20EDO%20Guitar%20Etude.mp3" rel="nofollow">22 EDO Guitar Etude</a> by <a class="wiki_link_ext" href="http://brendanbyrnes.bandcamp.com/" rel="nofollow">Brendan Byrnes</a></li><li><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Byrnes/Brendan%20Byrnes%20-%20Llurion.mp3" rel="nofollow">Llurion</a> by <a class="wiki_link_ext" href="http://brendanbyrnes.bandcamp.com/track/llurion" rel="nofollow">Brendan Byrnes</a></li><li><a class="wiki_link_ext" href="https://youtu.be/0VLJXecjYK4" rel="nofollow" target="_blank">Imzadi</a> by <a class="wiki_link_ext" href="http://omega9.github.io/" rel="nofollow" target="_blank">Omega9</a></li><li><a class="wiki_link_ext" href="http://micro.soonlabel.com/22-ET/20150910_22edo.mp3" rel="nofollow">22 edo electric guitar duet</a> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a></li><li><a class="wiki_link_ext" href="https://soundcloud.com/gareth-hearne/mass-in-22edo-sanctus" rel="nofollow">Mass in 22edo - Sanctus</a> by <a class="wiki_link" href="/Gareth%20Hearne">Gareth Hearne</a></li><li><a class="wiki_link_ext" href="https://soundcloud.com/gareth-hearne/mass-in-22edo-agnus-dei" rel="nofollow">Mass in 22edo - Agnus Dei</a> by Gareth Hearne</li></ul><br /> | ||
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