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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:xenjacob|xenjacob]] and made on <tt>2016-06-04 10:25:10 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>584793533</tt>.<br> | ||
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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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[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Mohajeri/Heroic%20elegy.mp3|Heroic elegy]] by Shahiin Mohajeri | [[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Mohajeri/Heroic%20elegy.mp3|Heroic elegy]] by Shahiin Mohajeri | ||
[[http://xenharmonic.wikispaces.com/space/showimage/01%20-%20Autumn%201.mp3|Autumn for conic bellophone and mixed quintet]] by Tony Salinas | [[http://xenharmonic.wikispaces.com/space/showimage/01%20-%20Autumn%201.mp3|Autumn for conic bellophone and mixed quintet]] by Tony Salinas | ||
[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Carrillo/Cromometrofon%eda%20%231.mp3|Cromometrofonía #1]] by [[Julián Carrillo]]</pre></div> | [[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Carrillo/Cromometrofon%eda%20%231.mp3|Cromometrofonía #1]] by [[Julián Carrillo]] | ||
=Video= | |||
[[media type="youtube" key="3O3H01c2SjE" width="560" height="315"]]</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>96edo</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>96edo</title></head><body><!-- ws:start:WikiTextTocRule:15:&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:15 --><!-- ws:start:WikiTextTocRule:16: --><a href="#Properties">Properties</a><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --> | <a href="#History">History</a><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --> | <a href="#Links">Links</a><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --><!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextTocRule:20: --><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --> | <a href="#Music">Music</a><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --> | <a href="#Video">Video</a><!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:23 --><span style="display: block; text-align: right;">Other languages: <a class="wiki_link" href="http://xenharmonie.wikispaces.com/96edo">Deutsch</a><br /> | ||
</span><br /> | </span><br /> | ||
<hr /> | <hr /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:1:&lt;h1&gt; --><h1 id="toc0"><a name="Properties"></a><!-- ws:end:WikiTextHeadingRule:1 -->Properties</h1> | ||
The 96 equal division divides the octave into 96 equal parts of exactly 12.5 cents each. As a <a class="wiki_link" href="/5-limit">5-limit</a> system, it can be characterized by the fact that it tempers out both the Pythagorean comma, 531441/524288, Würschmidt's comma, 393216/390625, the unicorn comma, 1594323/1562500, and the kwazy comma, |-53 10 16&gt;. It therefore has the same familiar 700 cent fifth as <a class="wiki_link" href="/12edo">12edo</a>, and has a best major third of 387.5 cents, a bit over a cent sharp. There is therefore nothing to complain of with its representation of the 5-limit and it can be recommended as an approach to the <a class="wiki_link" href="/W%C3%BCrschmidt%20family">Würschmidt family</a> of temperaments. It also tempers out the unicorn comma, and serves a way of tuning temperaments in the <a class="wiki_link" href="/unicorn%20family">unicorn family</a>.<br /> | The 96 equal division divides the octave into 96 equal parts of exactly 12.5 cents each. As a <a class="wiki_link" href="/5-limit">5-limit</a> system, it can be characterized by the fact that it tempers out both the Pythagorean comma, 531441/524288, Würschmidt's comma, 393216/390625, the unicorn comma, 1594323/1562500, and the kwazy comma, |-53 10 16&gt;. It therefore has the same familiar 700 cent fifth as <a class="wiki_link" href="/12edo">12edo</a>, and has a best major third of 387.5 cents, a bit over a cent sharp. There is therefore nothing to complain of with its representation of the 5-limit and it can be recommended as an approach to the <a class="wiki_link" href="/W%C3%BCrschmidt%20family">Würschmidt family</a> of temperaments. It also tempers out the unicorn comma, and serves a way of tuning temperaments in the <a class="wiki_link" href="/unicorn%20family">unicorn family</a>.<br /> | ||
<br /> | <br /> | ||
In the <a class="wiki_link" href="/7-limit">7-limit</a>, 96 has two possible mappings for 7/4, a sharp one of 975 cents from the patent val, and a flat one of 962.5 cents from 96d. Using the sharp mapping, 96 tempers out 225/224 and supports 7-limit würschmidt temperament, and using the flat mapping it tempers out 126/125 and supports worschmidt temperament. We can also dispense with 7 altogether, and use it as a no-sevens system, where it tempers out 243/242 in the 11-limit and 676/675 in the 13-limit. If we include 7, then the sharp mapping tempers out 99/98 and 176/175 in the 11-limit, and 169/168 in the 13-limit, and this provides the optimal patent val for <a class="wiki_link" href="/Marvel%20temperaments#Submajor-Interpental">interpental temperament</a>. With the flat 7 it tempers out 385/384 in the 11-limit and 196/195 and 364/363 in the 13-limit, and serves for the various temperaments of the unicorn family.<br /> | In the <a class="wiki_link" href="/7-limit">7-limit</a>, 96 has two possible mappings for 7/4, a sharp one of 975 cents from the patent val, and a flat one of 962.5 cents from 96d. Using the sharp mapping, 96 tempers out 225/224 and supports 7-limit würschmidt temperament, and using the flat mapping it tempers out 126/125 and supports worschmidt temperament. We can also dispense with 7 altogether, and use it as a no-sevens system, where it tempers out 243/242 in the 11-limit and 676/675 in the 13-limit. If we include 7, then the sharp mapping tempers out 99/98 and 176/175 in the 11-limit, and 169/168 in the 13-limit, and this provides the optimal patent val for <a class="wiki_link" href="/Marvel%20temperaments#Submajor-Interpental">interpental temperament</a>. With the flat 7 it tempers out 385/384 in the 11-limit and 196/195 and 364/363 in the 13-limit, and serves for the various temperaments of the unicorn family.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:3:&lt;h1&gt; --><h1 id="toc1"><a name="History"></a><!-- ws:end:WikiTextHeadingRule:3 -->History</h1> | ||
96 equal divisions of the octave was first used by the Mexican composer and theorist <a class="wiki_link" href="/Juli%C3%A1n%20Carrillo">Julián Carrillo</a>. It has subsequently been used by a number of other composers.<br /> | 96 equal divisions of the octave was first used by the Mexican composer and theorist <a class="wiki_link" href="/Juli%C3%A1n%20Carrillo">Julián Carrillo</a>. It has subsequently been used by a number of other composers.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:5:&lt;h1&gt; --><h1 id="toc2"><a name="Links"></a><!-- ws:end:WikiTextHeadingRule:5 -->Links</h1> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:7:&lt;h2&gt; --><h2 id="toc3"><a name="Links-Carrillo"></a><!-- ws:end:WikiTextHeadingRule:7 -->Carrillo</h2> | ||
See <a class="wiki_link" href="/Juli%C3%A1n%20Carrillo">Julián Carrillo</a> .<br /> | See <a class="wiki_link" href="/Juli%C3%A1n%20Carrillo">Julián Carrillo</a> .<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:9:&lt;h2&gt; --><h2 id="toc4"><a name="Links-Other composers"></a><!-- ws:end:WikiTextHeadingRule:9 -->Other composers</h2> | ||
Works for the <a class="wiki_link_ext" href="http://www.sauter-pianos.de/english/pianos/microtone.html" rel="nofollow">Sauter's 1/16tone microtone piano</a> by the composers <a class="wiki_link_ext" href="http://presence.or.at/einklang/Archiv/archiv_Komponisten_E.htm#flammer" rel="nofollow">Ernest Helmuth Flammer</a>, Marc Kilchenmann, Bernfried E. G. Pröve, <a class="wiki_link_ext" href="http://www.musinfo.ch/index.php?content=maske_werke&amp;pers_id=150&amp;name=Imholz&amp;vorname=Martin&amp;setLanguage=en" rel="nofollow">Martin Imholz</a>, Franck Cristoph Yeznikian, <a class="wiki_link_ext" href="http://www.schauhoer-verlag.de/cms/file_download/13/Vita_WMG_lang.pdf" rel="nofollow">Werner Grimmel</a>, and <a class="wiki_link_ext" href="http://www.moderecords.com/catalog/120_121bancquart.html" rel="nofollow">Alain Bancquart</a>, are recompilated on this CD: <a class="wiki_link_ext" href="http://www.dominikblum.ch/carillo_d.shtml" rel="nofollow">'The Carrillo tone piano'</a> .<br /> | Works for the <a class="wiki_link_ext" href="http://www.sauter-pianos.de/english/pianos/microtone.html" rel="nofollow">Sauter's 1/16tone microtone piano</a> by the composers <a class="wiki_link_ext" href="http://presence.or.at/einklang/Archiv/archiv_Komponisten_E.htm#flammer" rel="nofollow">Ernest Helmuth Flammer</a>, Marc Kilchenmann, Bernfried E. G. Pröve, <a class="wiki_link_ext" href="http://www.musinfo.ch/index.php?content=maske_werke&amp;pers_id=150&amp;name=Imholz&amp;vorname=Martin&amp;setLanguage=en" rel="nofollow">Martin Imholz</a>, Franck Cristoph Yeznikian, <a class="wiki_link_ext" href="http://www.schauhoer-verlag.de/cms/file_download/13/Vita_WMG_lang.pdf" rel="nofollow">Werner Grimmel</a>, and <a class="wiki_link_ext" href="http://www.moderecords.com/catalog/120_121bancquart.html" rel="nofollow">Alain Bancquart</a>, are recompilated on this CD: <a class="wiki_link_ext" href="http://www.dominikblum.ch/carillo_d.shtml" rel="nofollow">'The Carrillo tone piano'</a> .<br /> | ||
<a class="wiki_link_ext" href="http://www.96edo.com/" rel="nofollow">Mohajeri, Shaahin</a><br /> | <a class="wiki_link_ext" href="http://www.96edo.com/" rel="nofollow">Mohajeri, Shaahin</a><br /> | ||
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<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Georg_Friedrich_Haas" rel="nofollow">Haas, Georg Friedrich</a>, &quot;flow and friction&quot;<br /> | <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Georg_Friedrich_Haas" rel="nofollow">Haas, Georg Friedrich</a>, &quot;flow and friction&quot;<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:11:&lt;h1&gt; --><h1 id="toc5"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:11 -->Music</h1> | ||
<a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Mohajeri/4gahforbrass-880821.mp3" rel="nofollow">4gah for brass</a> by <a class="wiki_link" href="/Shahiin%20Mohajeri">Shahiin Mohajeri</a><br /> | <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Mohajeri/4gahforbrass-880821.mp3" rel="nofollow">4gah for brass</a> by <a class="wiki_link" href="/Shahiin%20Mohajeri">Shahiin Mohajeri</a><br /> | ||
<a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Mohajeri/Endless%20life.mp3" rel="nofollow">Endless life</a> by Shahiin Mohajeri<br /> | <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Mohajeri/Endless%20life.mp3" rel="nofollow">Endless life</a> by Shahiin Mohajeri<br /> | ||
<a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Mohajeri/Heroic%20elegy.mp3" rel="nofollow">Heroic elegy</a> by Shahiin Mohajeri<br /> | <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Mohajeri/Heroic%20elegy.mp3" rel="nofollow">Heroic elegy</a> by Shahiin Mohajeri<br /> | ||
<a class="wiki_link_ext" href="http://xenharmonic.wikispaces.com/space/showimage/01%20-%20Autumn%201.mp3" rel="nofollow">Autumn for conic bellophone and mixed quintet</a> by Tony Salinas<br /> | <a class="wiki_link_ext" href="http://xenharmonic.wikispaces.com/space/showimage/01%20-%20Autumn%201.mp3" rel="nofollow">Autumn for conic bellophone and mixed quintet</a> by Tony Salinas<br /> | ||
<a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Carrillo/Cromometrofon%eda%20%231.mp3" rel="nofollow">Cromometrofonía #1</a> by <a class="wiki_link" href="/Juli%C3%A1n%20Carrillo">Julián Carrillo</a></body></html></pre></div> | <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Carrillo/Cromometrofon%eda%20%231.mp3" rel="nofollow">Cromometrofonía #1</a> by <a class="wiki_link" href="/Juli%C3%A1n%20Carrillo">Julián Carrillo</a><br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:13:&lt;h1&gt; --><h1 id="toc6"><a name="Video"></a><!-- ws:end:WikiTextHeadingRule:13 -->Video</h1> | |||
<!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/youtube/3O3H01c2SjE?h=315&amp;w=560&quot; class=&quot;WikiMedia WikiMediaYoutube&quot; id=&quot;wikitext@@media@@type=&amp;quot;youtube&amp;quot; key=&amp;quot;3O3H01c2SjE&amp;quot; width=&amp;quot;560&amp;quot; height=&amp;quot;315&amp;quot;&quot; title=&quot;YouTube Video&quot;height=&quot;315&quot; width=&quot;560&quot;/&gt; --><iframe width="560" height="315" src="//www.youtube.com/embed/3O3H01c2SjE" frameborder="0" allowfullscreen></iframe><!-- ws:end:WikiTextMediaRule:0 --></body></html></pre></div> | |||
Revision as of 10:25, 4 June 2016
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author xenjacob and made on 2016-06-04 10:25:10 UTC.
- The original revision id was 584793533.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
[[toc|flat]] <span style="display: block; text-align: right;">Other languages: [[xenharmonie/96edo|Deutsch]] </span> ---- =Properties= The 96 equal division divides the octave into 96 equal parts of exactly 12.5 cents each. As a [[5-limit]] system, it can be characterized by the fact that it tempers out both the Pythagorean comma, 531441/524288, Würschmidt's comma, 393216/390625, the unicorn comma, 1594323/1562500, and the kwazy comma, |-53 10 16>. It therefore has the same familiar 700 cent fifth as [[12edo]], and has a best major third of 387.5 cents, a bit over a cent sharp. There is therefore nothing to complain of with its representation of the 5-limit and it can be recommended as an approach to the [[Würschmidt family]] of temperaments. It also tempers out the unicorn comma, and serves a way of tuning temperaments in the [[unicorn family]]. In the [[7-limit]], 96 has two possible mappings for 7/4, a sharp one of 975 cents from the patent val, and a flat one of 962.5 cents from 96d. Using the sharp mapping, 96 tempers out 225/224 and supports 7-limit würschmidt temperament, and using the flat mapping it tempers out 126/125 and supports worschmidt temperament. We can also dispense with 7 altogether, and use it as a no-sevens system, where it tempers out 243/242 in the 11-limit and 676/675 in the 13-limit. If we include 7, then the sharp mapping tempers out 99/98 and 176/175 in the 11-limit, and 169/168 in the 13-limit, and this provides the optimal patent val for [[Marvel temperaments#Submajor-Interpental|interpental temperament]]. With the flat 7 it tempers out 385/384 in the 11-limit and 196/195 and 364/363 in the 13-limit, and serves for the various temperaments of the unicorn family. =History= 96 equal divisions of the octave was first used by the Mexican composer and theorist [[Julián Carrillo]]. It has subsequently been used by a number of other composers. =Links= ==Carrillo== See [[Julián Carrillo]] . ==Other composers== Works for the [[http://www.sauter-pianos.de/english/pianos/microtone.html|Sauter's 1/16tone microtone piano]] by the composers [[http://presence.or.at/einklang/Archiv/archiv_Komponisten_E.htm#flammer|Ernest Helmuth Flammer]], Marc Kilchenmann, Bernfried E. G. Pröve, [[http://www.musinfo.ch/index.php?content=maske_werke&pers_id=150&name=Imholz&vorname=Martin&setLanguage=en|Martin Imholz]], Franck Cristoph Yeznikian, [[http://www.schauhoer-verlag.de/cms/file_download/13/Vita_WMG_lang.pdf|Werner Grimmel]], and [[http://www.moderecords.com/catalog/120_121bancquart.html|Alain Bancquart]], are recompilated on this CD: [[http://www.dominikblum.ch/carillo_d.shtml|'The Carrillo tone piano']] . [[http://www.96edo.com/|Mohajeri, Shaahin]] [[http://mac-texier.ircam.fr/textes/c00001420/|Marie, Jean-Etienne ]] [[http://en.wikipedia.org/wiki/Pascale_Criton|Criton, Pascale]] [[http://www.tonysalinas.com/|Martin Salinas, J.A.]] [[Autumn|'Autumn' conic bellophone & mixed quintet.mp3]] / [[Conic Bellophone in 96edo|Pictures of the 96edo conic bellophone]] [[http://en.wikipedia.org/wiki/Georg_Friedrich_Haas|Haas, Georg Friedrich]], "flow and friction" =Music= [[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Mohajeri/4gahforbrass-880821.mp3|4gah for brass]] by [[Shahiin Mohajeri]] [[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Mohajeri/Endless%20life.mp3|Endless life]] by Shahiin Mohajeri [[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Mohajeri/Heroic%20elegy.mp3|Heroic elegy]] by Shahiin Mohajeri [[http://xenharmonic.wikispaces.com/space/showimage/01%20-%20Autumn%201.mp3|Autumn for conic bellophone and mixed quintet]] by Tony Salinas [[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Carrillo/Cromometrofon%eda%20%231.mp3|Cromometrofonía #1]] by [[Julián Carrillo]] =Video= [[media type="youtube" key="3O3H01c2SjE" width="560" height="315"]]
Original HTML content:
<html><head><title>96edo</title></head><body><!-- ws:start:WikiTextTocRule:15:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --><a href="#Properties">Properties</a><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --> | <a href="#History">History</a><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --> | <a href="#Links">Links</a><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --><!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextTocRule:20: --><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --> | <a href="#Music">Music</a><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --> | <a href="#Video">Video</a><!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --> <!-- ws:end:WikiTextTocRule:23 --><span style="display: block; text-align: right;">Other languages: <a class="wiki_link" href="http://xenharmonie.wikispaces.com/96edo">Deutsch</a><br /> </span><br /> <hr /> <!-- ws:start:WikiTextHeadingRule:1:<h1> --><h1 id="toc0"><a name="Properties"></a><!-- ws:end:WikiTextHeadingRule:1 -->Properties</h1> The 96 equal division divides the octave into 96 equal parts of exactly 12.5 cents each. As a <a class="wiki_link" href="/5-limit">5-limit</a> system, it can be characterized by the fact that it tempers out both the Pythagorean comma, 531441/524288, Würschmidt's comma, 393216/390625, the unicorn comma, 1594323/1562500, and the kwazy comma, |-53 10 16>. It therefore has the same familiar 700 cent fifth as <a class="wiki_link" href="/12edo">12edo</a>, and has a best major third of 387.5 cents, a bit over a cent sharp. There is therefore nothing to complain of with its representation of the 5-limit and it can be recommended as an approach to the <a class="wiki_link" href="/W%C3%BCrschmidt%20family">Würschmidt family</a> of temperaments. It also tempers out the unicorn comma, and serves a way of tuning temperaments in the <a class="wiki_link" href="/unicorn%20family">unicorn family</a>.<br /> <br /> In the <a class="wiki_link" href="/7-limit">7-limit</a>, 96 has two possible mappings for 7/4, a sharp one of 975 cents from the patent val, and a flat one of 962.5 cents from 96d. Using the sharp mapping, 96 tempers out 225/224 and supports 7-limit würschmidt temperament, and using the flat mapping it tempers out 126/125 and supports worschmidt temperament. We can also dispense with 7 altogether, and use it as a no-sevens system, where it tempers out 243/242 in the 11-limit and 676/675 in the 13-limit. If we include 7, then the sharp mapping tempers out 99/98 and 176/175 in the 11-limit, and 169/168 in the 13-limit, and this provides the optimal patent val for <a class="wiki_link" href="/Marvel%20temperaments#Submajor-Interpental">interpental temperament</a>. With the flat 7 it tempers out 385/384 in the 11-limit and 196/195 and 364/363 in the 13-limit, and serves for the various temperaments of the unicorn family.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:3:<h1> --><h1 id="toc1"><a name="History"></a><!-- ws:end:WikiTextHeadingRule:3 -->History</h1> 96 equal divisions of the octave was first used by the Mexican composer and theorist <a class="wiki_link" href="/Juli%C3%A1n%20Carrillo">Julián Carrillo</a>. It has subsequently been used by a number of other composers.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:5:<h1> --><h1 id="toc2"><a name="Links"></a><!-- ws:end:WikiTextHeadingRule:5 -->Links</h1> <!-- ws:start:WikiTextHeadingRule:7:<h2> --><h2 id="toc3"><a name="Links-Carrillo"></a><!-- ws:end:WikiTextHeadingRule:7 -->Carrillo</h2> See <a class="wiki_link" href="/Juli%C3%A1n%20Carrillo">Julián Carrillo</a> .<br /> <br /> <!-- ws:start:WikiTextHeadingRule:9:<h2> --><h2 id="toc4"><a name="Links-Other composers"></a><!-- ws:end:WikiTextHeadingRule:9 -->Other composers</h2> Works for the <a class="wiki_link_ext" href="http://www.sauter-pianos.de/english/pianos/microtone.html" rel="nofollow">Sauter's 1/16tone microtone piano</a> by the composers <a class="wiki_link_ext" href="http://presence.or.at/einklang/Archiv/archiv_Komponisten_E.htm#flammer" rel="nofollow">Ernest Helmuth Flammer</a>, Marc Kilchenmann, Bernfried E. G. Pröve, <a class="wiki_link_ext" href="http://www.musinfo.ch/index.php?content=maske_werke&pers_id=150&name=Imholz&vorname=Martin&setLanguage=en" rel="nofollow">Martin Imholz</a>, Franck Cristoph Yeznikian, <a class="wiki_link_ext" href="http://www.schauhoer-verlag.de/cms/file_download/13/Vita_WMG_lang.pdf" rel="nofollow">Werner Grimmel</a>, and <a class="wiki_link_ext" href="http://www.moderecords.com/catalog/120_121bancquart.html" rel="nofollow">Alain Bancquart</a>, are recompilated on this CD: <a class="wiki_link_ext" href="http://www.dominikblum.ch/carillo_d.shtml" rel="nofollow">'The Carrillo tone piano'</a> .<br /> <a class="wiki_link_ext" href="http://www.96edo.com/" rel="nofollow">Mohajeri, Shaahin</a><br /> <a class="wiki_link_ext" href="http://mac-texier.ircam.fr/textes/c00001420/" rel="nofollow">Marie, Jean-Etienne </a><br /> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Pascale_Criton" rel="nofollow">Criton, Pascale</a><br /> <a class="wiki_link_ext" href="http://www.tonysalinas.com/" rel="nofollow">Martin Salinas, J.A.</a> <a class="wiki_link" href="/Autumn">'Autumn' conic bellophone & mixed quintet.mp3</a> / <a class="wiki_link" href="/Conic%20Bellophone%20in%2096edo">Pictures of the 96edo conic bellophone</a><br /> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Georg_Friedrich_Haas" rel="nofollow">Haas, Georg Friedrich</a>, "flow and friction"<br /> <br /> <!-- ws:start:WikiTextHeadingRule:11:<h1> --><h1 id="toc5"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:11 -->Music</h1> <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Mohajeri/4gahforbrass-880821.mp3" rel="nofollow">4gah for brass</a> by <a class="wiki_link" href="/Shahiin%20Mohajeri">Shahiin Mohajeri</a><br /> <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Mohajeri/Endless%20life.mp3" rel="nofollow">Endless life</a> by Shahiin Mohajeri<br /> <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Mohajeri/Heroic%20elegy.mp3" rel="nofollow">Heroic elegy</a> by Shahiin Mohajeri<br /> <a class="wiki_link_ext" href="http://xenharmonic.wikispaces.com/space/showimage/01%20-%20Autumn%201.mp3" rel="nofollow">Autumn for conic bellophone and mixed quintet</a> by Tony Salinas<br /> <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Carrillo/Cromometrofon%eda%20%231.mp3" rel="nofollow">Cromometrofonía #1</a> by <a class="wiki_link" href="/Juli%C3%A1n%20Carrillo">Julián Carrillo</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:13:<h1> --><h1 id="toc6"><a name="Video"></a><!-- ws:end:WikiTextHeadingRule:13 -->Video</h1> <!-- ws:start:WikiTextMediaRule:0:<img src="http://www.wikispaces.com/site/embedthumbnail/youtube/3O3H01c2SjE?h=315&w=560" class="WikiMedia WikiMediaYoutube" id="wikitext@@media@@type=&quot;youtube&quot; key=&quot;3O3H01c2SjE&quot; width=&quot;560&quot; height=&quot;315&quot;" title="YouTube Video"height="315" width="560"/> --><iframe width="560" height="315" src="//www.youtube.com/embed/3O3H01c2SjE" frameborder="0" allowfullscreen></iframe><!-- ws:end:WikiTextMediaRule:0 --></body></html>