22edo: Difference between revisions
Wikispaces>xenwolf **Imported revision 547119988 - Original comment: ** |
Wikispaces>k9assassin **Imported revision 547549980 - 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:k9assassin|k9assassin]] and made on <tt>2015-04-16 09:26:33 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>547549980</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 can also be treated as adding harmonics 3 and 5 to 11-EDO's 2.7.9.11.15.17 subgroup, making it a (rather accurate) 2.3.5.7.11.17 subgroup temperament. Let us also mind it's approximation of the 31st harmonic is within half a cent, which is fairly accurate. | 22-et can also be treated as adding harmonics 3 and 5 to 11-EDO's 2.7.9.11.15.17 subgroup, making it a (rather accurate) 2.3.5.7.11.17 subgroup temperament. Let us also mind it's approximation of the 31st harmonic is within half a cent, which is fairly accurate. | ||
==Intervalic Naming System== | |||
The intervals of 22 EDO may be best 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== | ||
|| Degree || Cents ||= Approximate | || Degree || Name and Abbreviation || Cents ||= Approximate | ||
Ratios* || | Ratios* || | ||
|| 0 || 0 ||= 1/1 || | || 0 || Natural Unison, 1 || 0 ||= 1/1 || | ||
|| 1 || 54.55 | || 1 || s-minor second, sm2 || 54.55 | ||
16°<span style="background-color: #ffffff;">21'49"</span> ||= 33/32, 34/33 || | 16°<span style="background-color: #ffffff;">21'49"</span> ||= 33/32, 34/33 || | ||
|| 2 || 109.09 | || 2 || p-diminished second, pd2 || 109.09 | ||
<span style="background-color: #ffffff;">32°43'38"</span> ||= 18/17, 17/16, 16/15, 15/14 || | <span style="background-color: #ffffff;">32°43'38"</span> ||= 18/17, 17/16, 16/15, 15/14 || | ||
|| 3 || 163.64 | || 3 || p-minor second, pm2 || 163.64 | ||
49°5'27" ||= 11/10, 10/9 || | 49°5'27" ||= 11/10, 10/9 || | ||
|| 4 || 218.18 | || 4 || (s/p) Major second, M2 || 218.18 | ||
<span style="background-color: #ffffff;">65°27'16"</span> ||= 9/8, 8/7, 17/15 || | <span style="background-color: #ffffff;">65°27'16"</span> ||= 9/8, 8/7, 17/15 || | ||
|| 5 || 272.73 | || 5 || s-minor third, sm3 || 272.73 | ||
81°<span style="background-color: #ffffff;">49'5"</span> ||= 7/6, 20/17 || | 81°<span style="background-color: #ffffff;">49'5"</span> ||= 7/6, 20/17 || | ||
|| 6 || 327.27 | || 6 || p-minor third, pm3 || 327.27 | ||
<span style="background-color: #ffffff;">98°10'55"</span> ||= 6/5, 17/14, 11/9 || | <span style="background-color: #ffffff;">98°10'55"</span> ||= 6/5, 17/14, 11/9 || | ||
|| 7 || 381.82 | || 7 || p-Major third, pM3 || 381.82 | ||
114°<span style="background-color: #ffffff;">31'44"</span> ||= 5/4 || | 114°<span style="background-color: #ffffff;">31'44"</span> ||= 5/4 || | ||
|| 8 || 436.36 | || 8 || s-Major third, sM3 || 436.36 | ||
<span style="background-color: #ffffff;">130°54'33"</span> ||= 9/7, 14/11, 22/17 || | <span style="background-color: #ffffff;">130°54'33"</span> ||= 9/7, 14/11, 22/17 || | ||
|| 9 || 490.91 | || 9 || Natural Fourth, 4, N4 || 490.91 | ||
147°<span style="background-color: #ffffff;">16'22"</span> ||= 4/3 || | 147°<span style="background-color: #ffffff;">16'22"</span> ||= 4/3 || | ||
|| 10 || 545.45 | || 10 || p-Major Fourth, pM4 | ||
s-dim fifth || 545.45 | |||
<span style="background-color: #ffffff;">163°38'11"</span> ||= 11/8, 15/11 || | <span style="background-color: #ffffff;">163°38'11"</span> ||= 11/8, 15/11 || | ||
|| 11 || 600 | || 11 || Augmented Fourth, A4, | ||
Half-Octave, HO || 600 | |||
180° ||= 7/5, 10/7, 17/12, 24/17 || | 180° ||= 7/5, 10/7, 17/12, 24/17 || | ||
|| 12 || 654.55 | || 12 || p-minor Fifth, pm5 | ||
s-aug fourth || 654.55 | |||
<span style="background-color: #ffffff;">196°21'49"</span> ||= 16/11, 22/15 || | <span style="background-color: #ffffff;">196°21'49"</span> ||= 16/11, 22/15 || | ||
|| 13 || 709.09 | || 13 || Natural Fifth, 5, N5 || 709.09 | ||
212°<span style="background-color: #ffffff;">43'38"</span> ||= 3/2 || | 212°<span style="background-color: #ffffff;">43'38"</span> ||= 3/2 || | ||
|| 14 || 763.64 | || 14 || s-minor sixth, sm6 || 763.64 | ||
<span style="background-color: #ffffff;">229°5'27"</span> ||= 11/7, 14/9, 17/11 || | <span style="background-color: #ffffff;">229°5'27"</span> ||= 11/7, 14/9, 17/11 || | ||
|| 15 || 818.18 | || 15 || p-minor sixth, pm6 || 818.18 | ||
245°<span style="background-color: #ffffff;">16'22"</span> ||= 8/5 || | 245°<span style="background-color: #ffffff;">16'22"</span> ||= 8/5 || | ||
|| 16 || 872.73 | || 16 || p-Major sixth, pM6 || 872.73 | ||
<span style="background-color: #ffffff;">261°49'5"</span> ||= 5/3, 18/11, 28/17 || | <span style="background-color: #ffffff;">261°49'5"</span> ||= 5/3, 18/11, 28/17 || | ||
|| 17 || 927.27 | || 17 || s-Major sixth, sM6 || 927.27 | ||
278°<span style="background-color: #ffffff;">10'55"</span> ||= 12/7, 17/10 || | 278°<span style="background-color: #ffffff;">10'55"</span> ||= 12/7, 17/10 || | ||
|| 18 || 981.82 | || 18 || (s/p) minor seventh, m7 || 981.82 | ||
<span style="background-color: #ffffff;">294°31'44"</span> ||= 7/4, 16/9, 30/17 || | <span style="background-color: #ffffff;">294°31'44"</span> ||= 7/4, 16/9, 30/17 || | ||
|| 19 || 1036.36 | || 19 || p-Major seventh, pM7 || 1036.36 | ||
310°<span style="background-color: #ffffff;">54'33"</span> ||= 20/11, 9/5 || | 310°<span style="background-color: #ffffff;">54'33"</span> ||= 20/11, 9/5 || | ||
|| 20 || 1090.91 | || 20 || p-Augmented Seventh || 1090.91 | ||
<span style="background-color: #ffffff;">327°16'22"</span> ||= 15/8, 32/17, 17/9, 28/15 || | <span style="background-color: #ffffff;">327°16'22"</span> ||= 15/8, 32/17, 17/9, 28/15 || | ||
|| 21 || 1145.45 | || 21 || s-Major Seventh, sM7 || 1145.45 | ||
343°<span style="background-color: #ffffff;">38'11"</span> ||= 33/17, 64/33, 31/16 || | 343°<span style="background-color: #ffffff;">38'11"</span> ||= 33/17, 64/33, 31/16 || | ||
|| 22 || 1200 | || 22 || Octave, 8 || 1200 | ||
360° ||= 2/1 || | 360° ||= 2/1 || | ||
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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;">Other languages: <a class="wiki_link" href="http://xenharmonie.wikispaces.com/22edo">Deutsch</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;">Other languages: <a class="wiki_link" href="http://xenharmonie.wikispaces.com/22edo">Deutsch</a><br /> | ||
</span><br /> | </span><br /> | ||
<!-- ws:start:WikiTextTocRule: | <!-- ws:start:WikiTextTocRule:24:&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:24 --><!-- ws:start:WikiTextTocRule:25: --><div style="margin-left: 1em;"><a href="#Theory">Theory</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --><div style="margin-left: 2em;"><a href="#Theory-Intervalic Naming System">Intervalic Naming System</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --><div style="margin-left: 2em;"><a href="#Theory-Intervals by degree">Intervals by degree</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --><div style="margin-left: 2em;"><a href="#Theory-Intervals by error">Intervals by error</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --><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:29 --><!-- ws:start:WikiTextTocRule:30: --><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:30 --><!-- ws:start:WikiTextTocRule:31: --><div style="margin-left: 3em;"><a href="#Theory-Properties of 22 equal temperament-Commas">Commas</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: --><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:32 --><!-- ws:start:WikiTextTocRule:33: --><div style="margin-left: 2em;"><a href="#Theory-External links">External links</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --><div style="margin-left: 2em;"><a href="#Theory-References">References</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --><div style="margin-left: 1em;"><a href="#Music">Music</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --></div> | ||
<!-- ws:end:WikiTextTocRule:36 --><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 can also be treated as adding harmonics 3 and 5 to 11-EDO's 2.7.9.11.15.17 subgroup, making it a (rather accurate) 2.3.5.7.11.17 subgroup temperament. Let us also mind it's approximation of the 31st harmonic is within half a cent, which is fairly accurate.<br /> | 22-et can also be treated as adding harmonics 3 and 5 to 11-EDO's 2.7.9.11.15.17 subgroup, making it a (rather accurate) 2.3.5.7.11.17 subgroup temperament. Let us also mind it's approximation of the 31st harmonic is within half a cent, which is fairly accurate.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc1"><a name="Theory-Intervals by degree"></a><!-- ws:end:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc1"><a name="Theory-Intervalic Naming System"></a><!-- ws:end:WikiTextHeadingRule:4 -->Intervalic Naming System</h2> | ||
The intervals of 22 EDO may be best 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 /> | |||
<!-- 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> | |||
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<tr> | <tr> | ||
<td>Degree<br /> | <td>Degree<br /> | ||
</td> | |||
<td>Name and Abbreviation<br /> | |||
</td> | </td> | ||
<td>Cents<br /> | <td>Cents<br /> | ||
| Line 256: | Line 268: | ||
<tr> | <tr> | ||
<td>0<br /> | <td>0<br /> | ||
</td> | |||
<td>Natural Unison, 1<br /> | |||
</td> | </td> | ||
<td>0<br /> | <td>0<br /> | ||
| Line 264: | Line 278: | ||
<tr> | <tr> | ||
<td>1<br /> | <td>1<br /> | ||
</td> | |||
<td>s-minor second, sm2<br /> | |||
</td> | </td> | ||
<td>54.55<br /> | <td>54.55<br /> | ||
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<tr> | <tr> | ||
<td>2<br /> | <td>2<br /> | ||
</td> | |||
<td>p-diminished second, pd2<br /> | |||
</td> | </td> | ||
<td>109.09<br /> | <td>109.09<br /> | ||
| Line 282: | Line 300: | ||
<tr> | <tr> | ||
<td>3<br /> | <td>3<br /> | ||
</td> | |||
<td>p-minor second, pm2<br /> | |||
</td> | </td> | ||
<td>163.64<br /> | <td>163.64<br /> | ||
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<tr> | <tr> | ||
<td>4<br /> | <td>4<br /> | ||
</td> | |||
<td>(s/p) Major second, M2<br /> | |||
</td> | </td> | ||
<td>218.18<br /> | <td>218.18<br /> | ||
| Line 300: | Line 322: | ||
<tr> | <tr> | ||
<td>5<br /> | <td>5<br /> | ||
</td> | |||
<td>s-minor third, sm3<br /> | |||
</td> | </td> | ||
<td>272.73<br /> | <td>272.73<br /> | ||
| Line 309: | Line 333: | ||
<tr> | <tr> | ||
<td>6<br /> | <td>6<br /> | ||
</td> | |||
<td>p-minor third, pm3<br /> | |||
</td> | </td> | ||
<td>327.27<br /> | <td>327.27<br /> | ||
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<tr> | <tr> | ||
<td>7<br /> | <td>7<br /> | ||
</td> | |||
<td>p-Major third, pM3<br /> | |||
</td> | </td> | ||
<td>381.82<br /> | <td>381.82<br /> | ||
| Line 327: | Line 355: | ||
<tr> | <tr> | ||
<td>8<br /> | <td>8<br /> | ||
</td> | |||
<td>s-Major third, sM3<br /> | |||
</td> | </td> | ||
<td>436.36<br /> | <td>436.36<br /> | ||
| Line 336: | Line 366: | ||
<tr> | <tr> | ||
<td>9<br /> | <td>9<br /> | ||
</td> | |||
<td>Natural Fourth, 4, N4<br /> | |||
</td> | </td> | ||
<td>490.91<br /> | <td>490.91<br /> | ||
| Line 345: | Line 377: | ||
<tr> | <tr> | ||
<td>10<br /> | <td>10<br /> | ||
</td> | |||
<td>p-Major Fourth, pM4<br /> | |||
s-dim fifth<br /> | |||
</td> | </td> | ||
<td>545.45<br /> | <td>545.45<br /> | ||
| Line 354: | Line 389: | ||
<tr> | <tr> | ||
<td>11<br /> | <td>11<br /> | ||
</td> | |||
<td>Augmented Fourth, A4, <br /> | |||
Half-Octave, HO<br /> | |||
</td> | </td> | ||
<td>600<br /> | <td>600<br /> | ||
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<tr> | <tr> | ||
<td>12<br /> | <td>12<br /> | ||
</td> | |||
<td>p-minor Fifth, pm5<br /> | |||
s-aug fourth<br /> | |||
</td> | </td> | ||
<td>654.55<br /> | <td>654.55<br /> | ||
| Line 372: | Line 413: | ||
<tr> | <tr> | ||
<td>13<br /> | <td>13<br /> | ||
</td> | |||
<td>Natural Fifth, 5, N5<br /> | |||
</td> | </td> | ||
<td>709.09<br /> | <td>709.09<br /> | ||
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<tr> | <tr> | ||
<td>14<br /> | <td>14<br /> | ||
</td> | |||
<td>s-minor sixth, sm6<br /> | |||
</td> | </td> | ||
<td>763.64<br /> | <td>763.64<br /> | ||
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<tr> | <tr> | ||
<td>15<br /> | <td>15<br /> | ||
</td> | |||
<td>p-minor sixth, pm6<br /> | |||
</td> | </td> | ||
<td>818.18<br /> | <td>818.18<br /> | ||
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<tr> | <tr> | ||
<td>16<br /> | <td>16<br /> | ||
</td> | |||
<td>p-Major sixth, pM6<br /> | |||
</td> | </td> | ||
<td>872.73<br /> | <td>872.73<br /> | ||
| Line 408: | Line 457: | ||
<tr> | <tr> | ||
<td>17<br /> | <td>17<br /> | ||
</td> | |||
<td>s-Major sixth, sM6<br /> | |||
</td> | </td> | ||
<td>927.27<br /> | <td>927.27<br /> | ||
| Line 417: | Line 468: | ||
<tr> | <tr> | ||
<td>18<br /> | <td>18<br /> | ||
</td> | |||
<td>(s/p) minor seventh, m7<br /> | |||
</td> | </td> | ||
<td>981.82<br /> | <td>981.82<br /> | ||
| Line 426: | Line 479: | ||
<tr> | <tr> | ||
<td>19<br /> | <td>19<br /> | ||
</td> | |||
<td>p-Major seventh, pM7<br /> | |||
</td> | </td> | ||
<td>1036.36<br /> | <td>1036.36<br /> | ||
| Line 435: | Line 490: | ||
<tr> | <tr> | ||
<td>20<br /> | <td>20<br /> | ||
</td> | |||
<td>p-Augmented Seventh<br /> | |||
</td> | </td> | ||
<td>1090.91<br /> | <td>1090.91<br /> | ||
| Line 444: | Line 501: | ||
<tr> | <tr> | ||
<td>21<br /> | <td>21<br /> | ||
</td> | |||
<td>s-Major Seventh, sM7<br /> | |||
</td> | </td> | ||
<td>1145.45<br /> | <td>1145.45<br /> | ||
| Line 453: | Line 512: | ||
<tr> | <tr> | ||
<td>22<br /> | <td>22<br /> | ||
</td> | |||
<td>Octave, 8<br /> | |||
</td> | </td> | ||
<td>1200<br /> | <td>1200<br /> | ||
| Line 463: | Line 524: | ||
<br /> | <br /> | ||
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<!-- ws:start:WikiTextFileRule: | <!-- ws:start:WikiTextFileRule:968:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file/22ed2-001e.svg?h=52&amp;w=320&quot; class=&quot;WikiFile&quot; id=&quot;wikitext@@file@@22ed2-001e.svg&quot; title=&quot;File: 22ed2-001e.svg&quot; width=&quot;320&quot; height=&quot;52&quot; /&gt; --><div class="objectEmbed"><a href="/file/view/22ed2-001e.svg/482002024/22ed2-001e.svg" onclick="ws.common.trackFileLink('/file/view/22ed2-001e.svg/482002024/22ed2-001e.svg');"><img src="http://www.wikispaces.com/i/mime/32/empty.png" height="32" width="32" alt="22ed2-001e.svg" /></a><div><a href="/file/view/22ed2-001e.svg/482002024/22ed2-001e.svg" onclick="ws.common.trackFileLink('/file/view/22ed2-001e.svg/482002024/22ed2-001e.svg');" class="filename" title="22ed2-001e.svg">22ed2-001e.svg</a><br /><ul><li><a href="/file/detail/22ed2-001e.svg">Details</a></li><li><a href="/file/view/22ed2-001e.svg/482002024/22ed2-001e.svg">Download</a></li><li style="color: #666">25 KB</li></ul></div></div><!-- ws:end:WikiTextFileRule:968 --><br /> | ||
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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 /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc4"><a name="Theory-Properties of 22 equal temperament"></a><!-- ws:end:WikiTextHeadingRule:10 -->Properties of 22 equal temperament</h2> | ||
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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 /> | ||
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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. 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. In <a class="wiki_link" href="/Sagittal">Sagittal</a>, 11 can be notated as every other note of 22.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h3&gt; --><h3 id="toc5"><a name="Theory-Properties of 22 equal temperament-Rank Two Temperaments"></a><!-- ws:end:WikiTextHeadingRule:12 -->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 /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:14:&lt;h3&gt; --><h3 id="toc6"><a name="Theory-Properties of 22 equal temperament-Commas"></a><!-- ws:end:WikiTextHeadingRule:14 -->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 /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:16:&lt;h3&gt; --><h3 id="toc7"><a name="Theory-Properties of 22 equal temperament-How to Notate 22edo in Sagittal"></a><!-- ws:end:WikiTextHeadingRule:16 -->How to Notate 22edo in Sagittal</h3> | ||
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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 /> | ||
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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 /> | ||
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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:18:&lt;h2&gt; --><h2 id="toc8"><a name="Theory-External links"></a><!-- ws:end:WikiTextHeadingRule:18 -->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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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc9"><a name="Theory-References"></a><!-- ws:end:WikiTextHeadingRule:20 -->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:22:&lt;h1&gt; --><h1 id="toc10"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:22 -->Music</h1> | ||
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<ul><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><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></ul><br /> | <ul><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><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></ul><br /> | ||
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