37edo: Difference between revisions
Wikispaces>genewardsmith **Imported revision 318671030 - Original comment: ** |
Wikispaces>guest **Imported revision 318787382 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User: | : This revision was by author [[User:guest|guest]] and made on <tt>2012-04-09 13:09:04 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>318787382</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt></tt><br> | ||
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">37edo is a scale derived from dividing the octave into 37 equal steps of approximately 32.43 cents each. It is the 12th [[prime numbers|prime]] edo, following [[31edo]] and coming before [[41edo]]. | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">37edo is a scale derived from dividing the octave into 37 equal steps of approximately 32.43 cents each. It is the 12th [[xenharmonic/prime numbers|prime]] edo, following [[xenharmonic/31edo|31edo]] and coming before [[xenharmonic/41edo|41edo]]. | ||
Using its best (and sharp) fifth, 37edo tempers out 250/243, making it a variant of [[porcupine]] temperament. Using its alternative flat fifth, it tempers out 16875/16384, making it a [[negri]] tuning. It also tempers out 2187/2000, resulting in a temperament where three minor whole tones make up a fifth ([[gorgo]]/[[laconic]]). | Using its best (and sharp) fifth, 37edo tempers out 250/243, making it a variant of [[xenharmonic/porcupine|porcupine]] temperament. Using its alternative flat fifth, it tempers out 16875/16384, making it a [[xenharmonic/negri|negri]] tuning. It also tempers out 2187/2000, resulting in a temperament where three minor whole tones make up a fifth ([[xenharmonic/gorgo|gorgo]]/[[xenharmonic/laconic|laconic]]). | ||
37 edo is also a very accurate equal tuning for Undecimation Temperament, which has a generator of about 519 cents; 2 generators lead to 29/16; 3 generators to 32/13; 6 generators to a 10 cent sharp 6/1; 8 generators to a very accurate 11/1 and 10 generators to 20/1. It has a 7L+2s nonatonic MOS, which in 37-edo scale degrees is 0, 1, 6, 11, 16, 17, 22, 27, 32, a scale structure reminiscent of mavila; as well as a 16 note MOS. | 37 edo is also a very accurate equal tuning for Undecimation Temperament, which has a generator of about 519 cents; 2 generators lead to 29/16; 3 generators to 32/13; 6 generators to a 10 cent sharp 6/1; 8 generators to a very accurate 11/1 and 10 generators to 20/1. It has a 7L+2s nonatonic MOS, which in 37-edo scale degrees is 0, 1, 6, 11, 16, 17, 22, 27, 32, a scale structure reminiscent of mavila; as well as a 16 note MOS. | ||
| Line 17: | Line 17: | ||
=Subgroups= | =Subgroups= | ||
37edo offers close approximations to [[OverToneSeries|harmonics]] 5, 7, 11, and 13 [and a usable approximation of 9 as well]. | 37edo offers close approximations to [[xenharmonic/OverToneSeries|harmonics]] 5, 7, 11, and 13 [and a usable approximation of 9 as well]. | ||
12\37 = 389.2 cents | 12\37 = 389.2 cents | ||
| Line 25: | Line 25: | ||
[6\37edo = 194.6 cents] | [6\37edo = 194.6 cents] | ||
This means 37 is quite accurate on the 2.5.7.11.13 subgroup, where it shares the same tuning as 111et. In fact, on the larger [[k*N subgroups|3*37 subgroup]] 2.27.5.7.11.13.51.57 subgroup not only shares the same tuning as 19-limit 111et, it tempers out the same commas. A simpler but less accurate approach is to use the 2*37-subgroup, 2.9.7.11.13.17.19, on which it has the same tuning and commas as 74et. | This means 37 is quite accurate on the 2.5.7.11.13 subgroup, where it shares the same tuning as 111et. In fact, on the larger [[xenharmonic/k*N subgroups|3*37 subgroup]] 2.27.5.7.11.13.51.57 subgroup not only shares the same tuning as 19-limit 111et, it tempers out the same commas. A simpler but less accurate approach is to use the 2*37-subgroup, 2.9.7.11.13.17.19, on which it has the same tuning and commas as 74et. | ||
=The Two Fifths= | =The Two Fifths= | ||
The just [[perfect fifth]] of frequency ratio 3:2 is not well-approximated, and falls between two intervals in 37edo: | The just [[xenharmonic/perfect fifth|perfect fifth]] of frequency ratio 3:2 is not well-approximated, and falls between two intervals in 37edo: | ||
The flat fifth is 21\37 = 681.1 cents | The flat fifth is 21\37 = 681.1 cents | ||
| Line 41: | Line 41: | ||
"major third" = 14\37 = 454.1 cents | "major third" = 14\37 = 454.1 cents | ||
If the minor third of 259.5 cents is mapped to 7/6, this superpythagorean scale can be thought of as a variant of [[The Biosphere|Biome]] temperament. | If the minor third of 259.5 cents is mapped to 7/6, this superpythagorean scale can be thought of as a variant of [[xenharmonic/The Biosphere|Biome]] temperament. | ||
Interestingly, the "major thirds" of both systems are not 12\37 = 389.2¢, the closest approximation to 5/4 available in 37edo. | Interestingly, the "major thirds" of both systems are not 12\37 = 389.2¢, the closest approximation to 5/4 available in 37edo. | ||
| Line 96: | Line 96: | ||
=Scales= | =Scales= | ||
[[MOS Scales of 37edo]] | [[xenharmonic/MOS Scales of 37edo|MOS Scales of 37edo]] | ||
[[roulette6]] | [[xenharmonic/roulette6|roulette6]] | ||
[[roulette7]] | [[xenharmonic/roulette7|roulette7]] | ||
[[roulette13]] | [[xenharmonic/roulette13|roulette13]] | ||
[[roulette19]] | [[xenharmonic/roulette19|roulette19]] | ||
[[Chromatic pairs#Shoe|Shoe]] | [[xenharmonic/Chromatic pairs#Shoe|Shoe]] | ||
[[37ED4]] | [[xenharmonic/37ED4|37ED4]] | ||
[[square root of 13 over 10|The Square Root of 13/10]] | [[xenharmonic/square root of 13 over 10|The Square Root of 13/10]] | ||
=Linear temperaments= | =Linear temperaments= | ||
| Line 113: | Line 113: | ||
||~ Generator ||~ "Sharp 3/2" temperaments ||~ "Flat 3/2" temperaments (37b val) || | ||~ Generator ||~ "Sharp 3/2" temperaments ||~ "Flat 3/2" temperaments (37b val) || | ||
|| 1\37 || || || | || 1\37 || || || | ||
|| 2\37 || [[Sycamore family|Sycamore]] || || | || 2\37 || [[xenharmonic/Sycamore family|Sycamore]] || || | ||
|| 3\37 || [[Passion]] || || | || 3\37 || [[xenharmonic/Passion|Passion]] || || | ||
|| 4\37 || [[Twothirdtonic]] || [[Negri]] || | || 4\37 || [[xenharmonic/Twothirdtonic|Twothirdtonic]] || [[xenharmonic/Negri|Negri]] || | ||
|| 5\37 || [[Porcupine]]/[[The Biosphere#Oceanfront-Oceanfront%20Children-Porcupinefish|porcupinefish]] || || | || 5\37 || [[xenharmonic/Porcupine|Porcupine]]/[[xenharmonic/The Biosphere#Oceanfront-Oceanfront%20Children-Porcupinefish|porcupinefish]] || || | ||
|| 6\37 |||| [[Chromatic pairs#Roulette|Roulette]] || | || 6\37 |||| [[xenharmonic/Chromatic pairs#Roulette|Roulette]] || | ||
|| 7\37 || [[Semaja]] || [[Gorgo]]/[[Laconic]] || | || 7\37 || [[xenharmonic/Semaja|Semaja]] || [[xenharmonic/Gorgo|Gorgo]]/[[xenharmonic/Laconic|Laconic]] || | ||
|| 8\37 || || || | || 8\37 || || || | ||
|| 9\37 || || || | || 9\37 || || || | ||
|| 10\37 || || || | || 10\37 || || || | ||
|| 11\37 || [[Beatles]] || || | || 11\37 || [[xenharmonic/Beatles|Beatles]] || || | ||
|| 12\37 || [[Würschmidt]] (out-of-tune) || || | || 12\37 || [[xenharmonic/Würschmidt|Würschmidt]] (out-of-tune) || || | ||
|| 13\37 || || || | || 13\37 || || || | ||
|| 14\37 || [[Ammonite]] || || | || 14\37 || [[xenharmonic/Ammonite|Ammonite]] || || | ||
|| 15\37 || ** | || 15\37 || [[The Biosphere#Oceanfront-Oceanfront%20Children-Ultrapyth|Ultrapyth]], **not** [[xenharmonic/superpyth|superpyth]] || || | ||
|| 16\37 || || **Not** [[mavila]] (this is "undecimation") || | || 16\37 || || **Not** [[xenharmonic/mavila|mavila]] (this is "undecimation") || | ||
|| 17\37 || [[Emka]] || || | || 17\37 || [[xenharmonic/Emka|Emka]] || || | ||
|| 18\37 || || || | || 18\37 || || || | ||
==Music in 37edo== | ==Music in 37edo== | ||
[[http://www.akjmusic.com/audio/toccata_bianca_37edo.mp3|Toccata Bianca 37edo]] by [[http://www.akjmusic.com|Aaron Krister Johnson]] | [[http://www.akjmusic.com/audio/toccata_bianca_37edo.mp3|Toccata Bianca 37edo]] by [[http://www.akjmusic.com/|Aaron Krister Johnson]] | ||
[[@http://andrewheathwaite.bandcamp.com/track/shorn-brown|Shorn Brown]] [[http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2002%20Shorn%20Brown.mp3|play]] and [[@http://andrewheathwaite.bandcamp.com/track/jellybear|Jellybear]] [[http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2003%20Jellybear.mp3|play]] by [[Andrew Heathwaite]] | [[@http://andrewheathwaite.bandcamp.com/track/shorn-brown|Shorn Brown]] [[http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2002%20Shorn%20Brown.mp3|play]] and [[@http://andrewheathwaite.bandcamp.com/track/jellybear|Jellybear]] [[http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2003%20Jellybear.mp3|play]] by [[xenharmonic/Andrew Heathwaite|Andrew Heathwaite]] | ||
==Links== | ==Links== | ||
[[http://tonalsoft.com/enc/number/37-edo/37edo.aspx|37edo at Tonalsoft]]</pre></div> | [[http://tonalsoft.com/enc/number/37-edo/37edo.aspx|37edo at Tonalsoft]]</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>37edo</title></head><body>37edo is a scale derived from dividing the octave into 37 equal steps of approximately 32.43 cents each. It is the 12th <a class="wiki_link" href="/prime%20numbers">prime</a> edo, following <a class="wiki_link" href="/31edo">31edo</a> and coming before <a class="wiki_link" href="/41edo">41edo</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>37edo</title></head><body>37edo is a scale derived from dividing the octave into 37 equal steps of approximately 32.43 cents each. It is the 12th <a class="wiki_link" href="http://xenharmonic.wikispaces.com/prime%20numbers">prime</a> edo, following <a class="wiki_link" href="http://xenharmonic.wikispaces.com/31edo">31edo</a> and coming before <a class="wiki_link" href="http://xenharmonic.wikispaces.com/41edo">41edo</a>.<br /> | ||
<br /> | <br /> | ||
Using its best (and sharp) fifth, 37edo tempers out 250/243, making it a variant of <a class="wiki_link" href="/porcupine">porcupine</a> temperament. Using its alternative flat fifth, it tempers out 16875/16384, making it a <a class="wiki_link" href="/negri">negri</a> tuning. It also tempers out 2187/2000, resulting in a temperament where three minor whole tones make up a fifth (<a class="wiki_link" href="/gorgo">gorgo</a>/<a class="wiki_link" href="/laconic">laconic</a>).<br /> | Using its best (and sharp) fifth, 37edo tempers out 250/243, making it a variant of <a class="wiki_link" href="http://xenharmonic.wikispaces.com/porcupine">porcupine</a> temperament. Using its alternative flat fifth, it tempers out 16875/16384, making it a <a class="wiki_link" href="http://xenharmonic.wikispaces.com/negri">negri</a> tuning. It also tempers out 2187/2000, resulting in a temperament where three minor whole tones make up a fifth (<a class="wiki_link" href="http://xenharmonic.wikispaces.com/gorgo">gorgo</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/laconic">laconic</a>).<br /> | ||
<br /> | <br /> | ||
37 edo is also a very accurate equal tuning for Undecimation Temperament, which has a generator of about 519 cents; 2 generators lead to 29/16; 3 generators to 32/13; 6 generators to a 10 cent sharp 6/1; 8 generators to a very accurate 11/1 and 10 generators to 20/1. It has a 7L+2s nonatonic MOS, which in 37-edo scale degrees is 0, 1, 6, 11, 16, 17, 22, 27, 32, a scale structure reminiscent of mavila; as well as a 16 note MOS.<br /> | 37 edo is also a very accurate equal tuning for Undecimation Temperament, which has a generator of about 519 cents; 2 generators lead to 29/16; 3 generators to 32/13; 6 generators to a 10 cent sharp 6/1; 8 generators to a very accurate 11/1 and 10 generators to 20/1. It has a 7L+2s nonatonic MOS, which in 37-edo scale degrees is 0, 1, 6, 11, 16, 17, 22, 27, 32, a scale structure reminiscent of mavila; as well as a 16 note MOS.<br /> | ||
| Line 150: | Line 150: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Subgroups"></a><!-- ws:end:WikiTextHeadingRule:0 -->Subgroups</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Subgroups"></a><!-- ws:end:WikiTextHeadingRule:0 -->Subgroups</h1> | ||
37edo offers close approximations to <a class="wiki_link" href="/OverToneSeries">harmonics</a> 5, 7, 11, and 13 [and a usable approximation of 9 as well].<br /> | 37edo offers close approximations to <a class="wiki_link" href="http://xenharmonic.wikispaces.com/OverToneSeries">harmonics</a> 5, 7, 11, and 13 [and a usable approximation of 9 as well].<br /> | ||
<br /> | <br /> | ||
12\37 = 389.2 cents<br /> | 12\37 = 389.2 cents<br /> | ||
| Line 158: | Line 158: | ||
[6\37edo = 194.6 cents]<br /> | [6\37edo = 194.6 cents]<br /> | ||
<br /> | <br /> | ||
This means 37 is quite accurate on the 2.5.7.11.13 subgroup, where it shares the same tuning as 111et. In fact, on the larger <a class="wiki_link" href="/k%2AN%20subgroups">3*37 subgroup</a> 2.27.5.7.11.13.51.57 subgroup not only shares the same tuning as 19-limit 111et, it tempers out the same commas. A simpler but less accurate approach is to use the 2*37-subgroup, 2.9.7.11.13.17.19, on which it has the same tuning and commas as 74et.<br /> | This means 37 is quite accurate on the 2.5.7.11.13 subgroup, where it shares the same tuning as 111et. In fact, on the larger <a class="wiki_link" href="http://xenharmonic.wikispaces.com/k%2AN%20subgroups">3*37 subgroup</a> 2.27.5.7.11.13.51.57 subgroup not only shares the same tuning as 19-limit 111et, it tempers out the same commas. A simpler but less accurate approach is to use the 2*37-subgroup, 2.9.7.11.13.17.19, on which it has the same tuning and commas as 74et.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="The Two Fifths"></a><!-- ws:end:WikiTextHeadingRule:2 -->The Two Fifths</h1> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="The Two Fifths"></a><!-- ws:end:WikiTextHeadingRule:2 -->The Two Fifths</h1> | ||
The just <a class="wiki_link" href="/perfect%20fifth">perfect fifth</a> of frequency ratio 3:2 is not well-approximated, and falls between two intervals in 37edo:<br /> | The just <a class="wiki_link" href="http://xenharmonic.wikispaces.com/perfect%20fifth">perfect fifth</a> of frequency ratio 3:2 is not well-approximated, and falls between two intervals in 37edo:<br /> | ||
<br /> | <br /> | ||
The flat fifth is 21\37 = 681.1 cents<br /> | The flat fifth is 21\37 = 681.1 cents<br /> | ||
| Line 174: | Line 174: | ||
&quot;major third&quot; = 14\37 = 454.1 cents<br /> | &quot;major third&quot; = 14\37 = 454.1 cents<br /> | ||
<br /> | <br /> | ||
If the minor third of 259.5 cents is mapped to 7/6, this superpythagorean scale can be thought of as a variant of <a class="wiki_link" href="/The%20Biosphere">Biome</a> temperament.<br /> | If the minor third of 259.5 cents is mapped to 7/6, this superpythagorean scale can be thought of as a variant of <a class="wiki_link" href="http://xenharmonic.wikispaces.com/The%20Biosphere">Biome</a> temperament.<br /> | ||
<br /> | <br /> | ||
Interestingly, the &quot;major thirds&quot; of both systems are not 12\37 = 389.2¢, the closest approximation to 5/4 available in 37edo.<br /> | Interestingly, the &quot;major thirds&quot; of both systems are not 12\37 = 389.2¢, the closest approximation to 5/4 available in 37edo.<br /> | ||
| Line 804: | Line 804: | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Scales"></a><!-- ws:end:WikiTextHeadingRule:6 -->Scales</h1> | <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Scales"></a><!-- ws:end:WikiTextHeadingRule:6 -->Scales</h1> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/MOS%20Scales%20of%2037edo">MOS Scales of 37edo</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/MOS%20Scales%20of%2037edo">MOS Scales of 37edo</a><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/roulette6">roulette6</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette6">roulette6</a><br /> | ||
<a class="wiki_link" href="/roulette7">roulette7</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette7">roulette7</a><br /> | ||
<a class="wiki_link" href="/roulette13">roulette13</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette13">roulette13</a><br /> | ||
<a class="wiki_link" href="/roulette19">roulette19</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette19">roulette19</a><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Chromatic%20pairs#Shoe">Shoe</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chromatic%20pairs#Shoe">Shoe</a><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/37ED4">37ED4</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/37ED4">37ED4</a><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/square%20root%20of%2013%20over%2010">The Square Root of 13/10</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/square%20root%20of%2013%20over%2010">The Square Root of 13/10</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Linear temperaments"></a><!-- ws:end:WikiTextHeadingRule:8 -->Linear temperaments</h1> | <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Linear temperaments"></a><!-- ws:end:WikiTextHeadingRule:8 -->Linear temperaments</h1> | ||
| Line 841: | Line 841: | ||
<td>2\37<br /> | <td>2\37<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Sycamore%20family">Sycamore</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Sycamore%20family">Sycamore</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 849: | Line 849: | ||
<td>3\37<br /> | <td>3\37<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Passion">Passion</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Passion">Passion</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 857: | Line 857: | ||
<td>4\37<br /> | <td>4\37<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Twothirdtonic">Twothirdtonic</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Twothirdtonic">Twothirdtonic</a><br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Negri">Negri</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Negri">Negri</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 865: | Line 865: | ||
<td>5\37<br /> | <td>5\37<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Porcupine">Porcupine</a>/<a class="wiki_link" href="/The%20Biosphere#Oceanfront-Oceanfront%20Children-Porcupinefish">porcupinefish</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Porcupine">Porcupine</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/The%20Biosphere#Oceanfront-Oceanfront%20Children-Porcupinefish">porcupinefish</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 873: | Line 873: | ||
<td>6\37<br /> | <td>6\37<br /> | ||
</td> | </td> | ||
<td colspan="2"><a class="wiki_link" href="/Chromatic%20pairs#Roulette">Roulette</a><br /> | <td colspan="2"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chromatic%20pairs#Roulette">Roulette</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 879: | Line 879: | ||
<td>7\37<br /> | <td>7\37<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Semaja">Semaja</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Semaja">Semaja</a><br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Gorgo">Gorgo</a>/<a class="wiki_link" href="/Laconic">Laconic</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Gorgo">Gorgo</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Laconic">Laconic</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 911: | Line 911: | ||
<td>11\37<br /> | <td>11\37<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Beatles">Beatles</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Beatles">Beatles</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 919: | Line 919: | ||
<td>12\37<br /> | <td>12\37<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/W%C3%BCrschmidt">Würschmidt</a> (out-of-tune)<br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/W%C3%BCrschmidt">Würschmidt</a> (out-of-tune)<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 935: | Line 935: | ||
<td>14\37<br /> | <td>14\37<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Ammonite">Ammonite</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ammonite">Ammonite</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 943: | Line 943: | ||
<td>15\37<br /> | <td>15\37<br /> | ||
</td> | </td> | ||
<td><strong> | <td><a class="wiki_link" href="/The%20Biosphere#Oceanfront-Oceanfront%20Children-Ultrapyth">Ultrapyth</a>, <strong>not</strong> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/superpyth">superpyth</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 953: | Line 953: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td><strong>Not</strong> <a class="wiki_link" href="/mavila">mavila</a> (this is &quot;undecimation&quot;)<br /> | <td><strong>Not</strong> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mavila">mavila</a> (this is &quot;undecimation&quot;)<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 959: | Line 959: | ||
<td>17\37<br /> | <td>17\37<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Emka">Emka</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Emka">Emka</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 977: | Line 977: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Linear temperaments-Music in 37edo"></a><!-- ws:end:WikiTextHeadingRule:10 -->Music in 37edo</h2> | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Linear temperaments-Music in 37edo"></a><!-- ws:end:WikiTextHeadingRule:10 -->Music in 37edo</h2> | ||
<a class="wiki_link_ext" href="http://www.akjmusic.com/audio/toccata_bianca_37edo.mp3" rel="nofollow">Toccata Bianca 37edo</a> by <a class="wiki_link_ext" href="http://www.akjmusic.com" rel="nofollow">Aaron Krister Johnson</a><br /> | <a class="wiki_link_ext" href="http://www.akjmusic.com/audio/toccata_bianca_37edo.mp3" rel="nofollow">Toccata Bianca 37edo</a> by <a class="wiki_link_ext" href="http://www.akjmusic.com/" rel="nofollow">Aaron Krister Johnson</a><br /> | ||
<a class="wiki_link_ext" href="http://andrewheathwaite.bandcamp.com/track/shorn-brown" rel="nofollow" target="_blank">Shorn Brown</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2002%20Shorn%20Brown.mp3" rel="nofollow">play</a> and <a class="wiki_link_ext" href="http://andrewheathwaite.bandcamp.com/track/jellybear" rel="nofollow" target="_blank">Jellybear</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2003%20Jellybear.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Andrew%20Heathwaite">Andrew Heathwaite</a><br /> | <a class="wiki_link_ext" href="http://andrewheathwaite.bandcamp.com/track/shorn-brown" rel="nofollow" target="_blank">Shorn Brown</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2002%20Shorn%20Brown.mp3" rel="nofollow">play</a> and <a class="wiki_link_ext" href="http://andrewheathwaite.bandcamp.com/track/jellybear" rel="nofollow" target="_blank">Jellybear</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2003%20Jellybear.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Andrew%20Heathwaite">Andrew Heathwaite</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Linear temperaments-Links"></a><!-- ws:end:WikiTextHeadingRule:12 -->Links</h2> | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Linear temperaments-Links"></a><!-- ws:end:WikiTextHeadingRule:12 -->Links</h2> | ||
<a class="wiki_link_ext" href="http://tonalsoft.com/enc/number/37-edo/37edo.aspx" rel="nofollow">37edo at Tonalsoft</a></body></html></pre></div> | <a class="wiki_link_ext" href="http://tonalsoft.com/enc/number/37-edo/37edo.aspx" rel="nofollow">37edo at Tonalsoft</a></body></html></pre></div> | ||