72edo: Difference between revisions
Wikispaces>TallKite **Imported revision 607132219 - Original comment: ** |
Wikispaces>spt3125 **Imported revision 615832209 - Original comment: added link (deorphaning); reformatted commas** |
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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:spt3125|spt3125]] and made on <tt>2017-07-22 19:46:52 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>615832209</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt>added link (deorphaning); reformatted commas</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> | ||
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72 is an excellent tuning for [[xenharmonic/Gamelismic clan|miracle temperament]], especially the 11-limit version, and the related rank three temperament [[xenharmonic/Marvel family#Prodigy|prodigy]], and is a good tuning for other temperaments and scales, including wizard, harry, catakleismic, compton, unidec and tritikleismic. | 72 is an excellent tuning for [[xenharmonic/Gamelismic clan|miracle temperament]], especially the 11-limit version, and the related rank three temperament [[xenharmonic/Marvel family#Prodigy|prodigy]], and is a good tuning for other temperaments and scales, including wizard, harry, catakleismic, compton, unidec and tritikleismic. | ||
=Commas | =Commas= | ||
Commas tempered out by 72edo include... | |||
||~ 3-limit || | |||
|| Pythagorean comma = 531441/524288 = |-19 12> || | |||
||~ 5-limit || | |||
|| kleisma = 15625/15552 = |-6 -5 6> | |||
ampersand = 34171875/33554432 = |-25 7 6> | |||
graviton = 129140163/128000000 = |-13 17 -6> | |||
ennealimma = 7629394531250/7625597484987 = |1 -27 18> | |||
|| | |||
||~ 7-limit ||~ 11-limit ||~ 13-limit || | |||
|| ............................... | |||
225/224 | |||
1029/1024 | |||
2401/2400 | |||
4375/4374 | |||
16875/16807 | |||
19683/19600 | |||
420175/419904 | |||
250047/250000 | |||
|| ....................... | |||
243/242 | |||
385/384 | |||
441/440 | |||
540/539 | |||
1375/1372 | |||
3025/3024 | |||
4000/3993 | |||
6250/6237 | |||
9801/9800 | |||
|| ....................... | |||
169/168 | |||
325/324 | |||
351/350 | |||
364/363 | |||
625/624 | |||
676/675 | |||
729/728 | |||
1001/1000 | |||
1575/1573 | |||
1716/1715 | |||
2080/2079 | |||
6656/6655 | |||
|| | |||
=Temperaments= | |||
It provides the optimal patent val for miracle and wizard in the 7-limit, miracle, catakleismic, bikleismic, compton, ennealimnic, ennealiminal, enneaportent, marvolo and catalytic in the 11-limit, and catakleismic, bikleismic, compton, comptone, enneaportent, ennealim, catalytic, marvolo, manna, hendec, lizard, neominor, hours, and semimiracle in the 13-limit. | It provides the optimal patent val for miracle and wizard in the 7-limit, miracle, catakleismic, bikleismic, compton, ennealimnic, ennealiminal, enneaportent, marvolo and catalytic in the 11-limit, and catakleismic, bikleismic, compton, comptone, enneaportent, ennealim, catalytic, marvolo, manna, hendec, lizard, neominor, hours, and semimiracle in the 13-limit. | ||
See also [[List of edo-distinct 72et rank two temperaments]]. | |||
=Harmonic Scale= | =Harmonic Scale= | ||
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* [[@http://www.myspace.com/dawier|Danny Wier, composer and musician who specializes in 72-edo]]</pre></div> | * [[@http://www.myspace.com/dawier|Danny Wier, composer and musician who specializes in 72-edo]]</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>72edo</title></head><body><!-- ws:start:WikiTextTocRule: | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>72edo</title></head><body><!-- ws:start:WikiTextTocRule:18:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --><a href="#Commas">Commas</a><!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextTocRule:20: --> | <a href="#Temperaments">Temperaments</a><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --> | <a href="#Harmonic Scale">Harmonic Scale</a><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --> | <a href="#Intervals">Intervals</a><!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --> | <a href="#Linear temperaments">Linear temperaments</a><!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --> | <a href="#Z function">Z function</a><!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --> | <a href="#Music">Music</a><!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --> | <a href="#Scales">Scales</a><!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --> | <a href="#External links">External links</a><!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:28 --><hr /> | ||
72-tone equal temperament (or 72-edo) divides the octave into 72 steps or <em>moria</em>. This produces a twelfth-tone tuning, with the whole tone measuring 200 cents, the same as in 12-tone equal temperament. 72-tone is also a superset of <a class="wiki_link" href="http://xenharmonic.wikispaces.com/24edo">24-tone equal temperament</a>, a common and standard tuning of <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Arabic%2C%20Turkish%2C%20Persian">Arabic</a> music, and has itself been used to tune Turkish music.<br /> | 72-tone equal temperament (or 72-edo) divides the octave into 72 steps or <em>moria</em>. This produces a twelfth-tone tuning, with the whole tone measuring 200 cents, the same as in 12-tone equal temperament. 72-tone is also a superset of <a class="wiki_link" href="http://xenharmonic.wikispaces.com/24edo">24-tone equal temperament</a>, a common and standard tuning of <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Arabic%2C%20Turkish%2C%20Persian">Arabic</a> music, and has itself been used to tune Turkish music.<br /> | ||
<br /> | <br /> | ||
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72 is an excellent tuning for <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Gamelismic%20clan">miracle temperament</a>, especially the 11-limit version, and the related rank three temperament <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Marvel%20family#Prodigy">prodigy</a>, and is a good tuning for other temperaments and scales, including wizard, harry, catakleismic, compton, unidec and tritikleismic.<br /> | 72 is an excellent tuning for <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Gamelismic%20clan">miracle temperament</a>, especially the 11-limit version, and the related rank three temperament <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Marvel%20family#Prodigy">prodigy</a>, and is a good tuning for other temperaments and scales, including wizard, harry, catakleismic, compton, unidec and tritikleismic.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Commas | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Commas"></a><!-- ws:end:WikiTextHeadingRule:0 -->Commas</h1> | ||
<br /> | <br /> | ||
Commas tempered out by 72edo include...<br /> | |||
<br /> | <br /> | ||
<table class="wiki_table"> | |||
<tr> | |||
<th>3-limit<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td>Pythagorean comma = 531441/524288 = |-19 12&gt;<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<br /> | <br /> | ||
<table class="wiki_table"> | |||
<tr> | |||
<th>5-limit<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td>kleisma = 15625/15552 = |-6 -5 6&gt;<br /> | |||
ampersand = 34171875/33554432 = |-25 7 6&gt;<br /> | |||
graviton = 129140163/128000000 = |-13 17 -6&gt;<br /> | |||
ennealimma = 7629394531250/7625597484987 = |1 -27 18&gt;<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<br /> | <br /> | ||
<table class="wiki_table"> | |||
<tr> | |||
<th>7-limit<br /> | |||
</th> | |||
<th>11-limit<br /> | |||
</th> | |||
<th>13-limit<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td>...............................<br /> | |||
225/224<br /> | |||
1029/1024<br /> | |||
2401/2400<br /> | |||
4375/4374<br /> | |||
16875/16807<br /> | |||
19683/19600<br /> | |||
420175/419904<br /> | |||
250047/250000<br /> | |||
</td> | |||
<td>.......................<br /> | |||
243/242<br /> | |||
385/384<br /> | |||
441/440<br /> | |||
540/539<br /> | |||
1375/1372<br /> | |||
3025/3024<br /> | |||
4000/3993<br /> | |||
6250/6237<br /> | |||
9801/9800<br /> | |||
</td> | |||
<td>.......................<br /> | |||
169/168<br /> | |||
325/324<br /> | |||
351/350<br /> | |||
364/363<br /> | |||
625/624<br /> | |||
676/675<br /> | |||
729/728<br /> | |||
1001/1000<br /> | |||
1575/1573<br /> | |||
1716/1715<br /> | |||
2080/2079<br /> | |||
6656/6655<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Temperaments"></a><!-- ws:end:WikiTextHeadingRule:2 -->Temperaments</h1> | |||
<br /> | <br /> | ||
It provides the optimal patent val for miracle and wizard in the 7-limit, miracle, catakleismic, bikleismic, compton, ennealimnic, ennealiminal, enneaportent, marvolo and catalytic in the 11-limit, and catakleismic, bikleismic, compton, comptone, enneaportent, ennealim, catalytic, marvolo, manna, hendec, lizard, neominor, hours, and semimiracle in the 13-limit.<br /> | It provides the optimal patent val for miracle and wizard in the 7-limit, miracle, catakleismic, bikleismic, compton, ennealimnic, ennealiminal, enneaportent, marvolo and catalytic in the 11-limit, and catakleismic, bikleismic, compton, comptone, enneaportent, ennealim, catalytic, marvolo, manna, hendec, lizard, neominor, hours, and semimiracle in the 13-limit.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | See also <a class="wiki_link" href="/List%20of%20edo-distinct%2072et%20rank%20two%20temperaments">List of edo-distinct 72et rank two temperaments</a>.<br /> | ||
<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Harmonic Scale"></a><!-- ws:end:WikiTextHeadingRule:4 -->Harmonic Scale</h1> | |||
Mode 8 of the harmonic series -- <a class="wiki_link" href="http://xenharmonic.wikispaces.com/overtone%20scales">overtones 8 through 16</a>, octave repeating -- is well-represented in 72edo. Note that all the different step sizes are distinguished, except for 13:12 and 14:13 (conflated to 8\72edo, 133.3 cents) and 15:14 and 16:15 (conflated to 7\72edo, 116.7 cents, the generator for miracle temperament).<br /> | Mode 8 of the harmonic series -- <a class="wiki_link" href="http://xenharmonic.wikispaces.com/overtone%20scales">overtones 8 through 16</a>, octave repeating -- is well-represented in 72edo. Note that all the different step sizes are distinguished, except for 13:12 and 14:13 (conflated to 8\72edo, 133.3 cents) and 15:14 and 16:15 (conflated to 7\72edo, 116.7 cents, the generator for miracle temperament).<br /> | ||
<br /> | <br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Intervals"></a><!-- ws:end:WikiTextHeadingRule:6 -->Intervals</h1> | ||
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Chords can be named using ups and downs as C upminor, D downmajor seven, etc. See <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation#Chord%20names%20in%20other%20EDOs">Ups and Downs Notation - Chord names in other EDOs</a>.<br /> | Chords can be named using ups and downs as C upminor, D downmajor seven, etc. See <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation#Chord%20names%20in%20other%20EDOs">Ups and Downs Notation - Chord names in other EDOs</a>.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Linear temperaments"></a><!-- ws:end:WikiTextHeadingRule:8 -->Linear temperaments</h1> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Z function"></a><!-- ws:end:WikiTextHeadingRule:10 -->Z function</h1> | ||
72edo is the ninth <a class="wiki_link" href="http://xenharmonic.wikispaces.com/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta%20EDO%20lists">zeta integral edo</a>, as well as being a peak and gap edo, and the maximum value of the <a class="wiki_link" href="http://xenharmonic.wikispaces.com/The%20Riemann%20Zeta%20Function%20and%20Tuning#The%20Z%20function">Z function</a> in the region near 72 occurs at 71.9506, giving an octave of 1200.824 cents, the stretched octaves of the zeta tuning. Below is a plot of Z in the region around 72.<br /> | 72edo is the ninth <a class="wiki_link" href="http://xenharmonic.wikispaces.com/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta%20EDO%20lists">zeta integral edo</a>, as well as being a peak and gap edo, and the maximum value of the <a class="wiki_link" href="http://xenharmonic.wikispaces.com/The%20Riemann%20Zeta%20Function%20and%20Tuning#The%20Z%20function">Z function</a> in the region near 72 occurs at 71.9506, giving an octave of 1200.824 cents, the stretched octaves of the zeta tuning. Below is a plot of Z in the region around 72.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:1758:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/plot72.png/219772696/plot72.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/plot72.png/219772696/plot72.png" alt="plot72.png" title="plot72.png" /><!-- ws:end:WikiTextLocalImageRule:1758 --><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:12 -->Music</h1> | ||
<a class="wiki_link_ext" href="http://www.archive.org/details/Kotekant" rel="nofollow">Kotekant</a> <em><a class="wiki_link_ext" href="http://www.archive.org/download/Kotekant/kotekant.mp3" rel="nofollow">play</a></em> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Gene%20Ward%20Smith">Gene Ward Smith</a><br /> | <a class="wiki_link_ext" href="http://www.archive.org/details/Kotekant" rel="nofollow">Kotekant</a> <em><a class="wiki_link_ext" href="http://www.archive.org/download/Kotekant/kotekant.mp3" rel="nofollow">play</a></em> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Gene%20Ward%20Smith">Gene Ward Smith</a><br /> | ||
<em><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Meneghin/Claudi-Meneghin-Twinkle-canon-72-edo.mp3" rel="nofollow">Twinkle canon – 72 edo</a></em> by <a class="wiki_link_ext" href="http://soonlabel.com/xenharmonic/archives/573" rel="nofollow">Claudi Meneghin</a><br /> | <em><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Meneghin/Claudi-Meneghin-Twinkle-canon-72-edo.mp3" rel="nofollow">Twinkle canon – 72 edo</a></em> by <a class="wiki_link_ext" href="http://soonlabel.com/xenharmonic/archives/573" rel="nofollow">Claudi Meneghin</a><br /> | ||
| Line 1,932: | Line 2,047: | ||
<em><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Rodgers/drum12a-c-t9.mp3" rel="nofollow">June Gloom #9</a></em> by Prent Rodgers<br /> | <em><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Rodgers/drum12a-c-t9.mp3" rel="nofollow">June Gloom #9</a></em> by Prent Rodgers<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Scales"></a><!-- ws:end:WikiTextHeadingRule:14 -->Scales</h1> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/smithgw72a">smithgw72a</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/smithgw72b">smithgw72b</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/smithgw72c">smithgw72c</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/smithgw72d">smithgw72d</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/smithgw72e">smithgw72e</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/smithgw72f">smithgw72f</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/smithgw72g">smithgw72g</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/smithgw72h">smithgw72h</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/smithgw72i">smithgw72i</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/smithgw72j">smithgw72j</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/smithgw72a">smithgw72a</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/smithgw72b">smithgw72b</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/smithgw72c">smithgw72c</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/smithgw72d">smithgw72d</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/smithgw72e">smithgw72e</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/smithgw72f">smithgw72f</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/smithgw72g">smithgw72g</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/smithgw72h">smithgw72h</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/smithgw72i">smithgw72i</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/smithgw72j">smithgw72j</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/blackjack">blackjack</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/miracle_8">miracle_8</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/miracle_10">miracle_10</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/miracle_12">miracle_12</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/miracle_12a">miracle_12a</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/miracle_24hi">miracle_24hi</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/miracle_24lo">miracle_24lo</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/blackjack">blackjack</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/miracle_8">miracle_8</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/miracle_10">miracle_10</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/miracle_12">miracle_12</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/miracle_12a">miracle_12a</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/miracle_24hi">miracle_24hi</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/miracle_24lo">miracle_24lo</a><br /> | ||
| Line 1,939: | Line 2,054: | ||
<a class="wiki_link" href="/JuneGloom">JuneGloom</a><br /> | <a class="wiki_link" href="/JuneGloom">JuneGloom</a><br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc8"><a name="External links"></a><!-- ws:end:WikiTextHeadingRule:16 -->External links</h1> | ||
<ul><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/72_tone_equal_temperament" rel="nofollow">Wikipedia article on 72edo</a></li><li><a class="wiki_link_ext" href="http://orthodoxwiki.org/Byzantine_Chant" rel="nofollow">OrthodoxWiki Article on Byzantine chant, which uses 72edo</a></li><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Joe_Maneri" rel="nofollow">Wikipedia article on Joe Maneri (1927-2009)</a></li><li><a class="wiki_link_ext" href="http://www.ekmelic-music.org/en/" rel="nofollow">Ekmelic Music Society/Gesellschaft für Ekmelische Musik</a>, a group of composers and researchers dedicated to 72edo music</li><li><a class="wiki_link_ext" href="http://72note.com/site/original.html" rel="nofollow">Rick Tagawa's 72edo site</a>, including theory and composers' list</li><li><a class="wiki_link_ext" href="http://www.myspace.com/dawier" rel="nofollow" target="_blank">Danny Wier, composer and musician who specializes in 72-edo</a></li></ul></body></html></pre></div> | <ul><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/72_tone_equal_temperament" rel="nofollow">Wikipedia article on 72edo</a></li><li><a class="wiki_link_ext" href="http://orthodoxwiki.org/Byzantine_Chant" rel="nofollow">OrthodoxWiki Article on Byzantine chant, which uses 72edo</a></li><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Joe_Maneri" rel="nofollow">Wikipedia article on Joe Maneri (1927-2009)</a></li><li><a class="wiki_link_ext" href="http://www.ekmelic-music.org/en/" rel="nofollow">Ekmelic Music Society/Gesellschaft für Ekmelische Musik</a>, a group of composers and researchers dedicated to 72edo music</li><li><a class="wiki_link_ext" href="http://72note.com/site/original.html" rel="nofollow">Rick Tagawa's 72edo site</a>, including theory and composers' list</li><li><a class="wiki_link_ext" href="http://www.myspace.com/dawier" rel="nofollow" target="_blank">Danny Wier, composer and musician who specializes in 72-edo</a></li></ul></body></html></pre></div> | ||