96edo: Difference between revisions
Wikispaces>hstraub **Imported revision 454017288 - Original comment: ** |
Wikispaces>hstraub **Imported revision 454018608 - 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:hstraub|hstraub]] and made on <tt>2013-09-25 | : This revision was by author [[User:hstraub|hstraub]] and made on <tt>2013-09-25 08:05:39 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>454018608</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">[[toc|flat]] | <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">[[toc|flat]] | ||
<span style="display: block; text-align: right;">Other languages: [[xenharmonie/96edo|Deutsch]] | |||
</span> | |||
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=Properties= | =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]]. | 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]]. | ||
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==Other composers== | ==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, 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']] . | 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://www.96edo.com/|Mohajeri, Shaahin]] | ||
[[http://mac-texier.ircam.fr/textes/c00001420/|Marie, Jean-Etienne ]] | [[http://mac-texier.ircam.fr/textes/c00001420/|Marie, Jean-Etienne ]] | ||
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<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:12:&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:12 --><!-- ws:start:WikiTextTocRule:13: --><a href="#Properties">Properties</a><!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextTocRule:14: --> | <a href="#History">History</a><!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --> | <a href="#Links">Links</a><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --> | <a href="#Music">Music</a><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --> | <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:12:&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:12 --><!-- ws:start:WikiTextTocRule:13: --><a href="#Properties">Properties</a><!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextTocRule:14: --> | <a href="#History">History</a><!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --> | <a href="#Links">Links</a><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --> | <a href="#Music">Music</a><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --> | ||
<!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Properties"></a><!-- ws:end:WikiTextHeadingRule:0 -->Properties</h1> | <!-- ws:end:WikiTextTocRule:19 --><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:0:&lt;h1&gt; --><h1 id="toc0"><a name="Properties"></a><!-- ws:end:WikiTextHeadingRule:0 -->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 /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Links-Other composers"></a><!-- ws:end:WikiTextHeadingRule:8 -->Other composers</h2> | <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Links-Other composers"></a><!-- ws:end:WikiTextHeadingRule:8 -->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, Werner Grimmel, 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 /> | ||
<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://mac-texier.ircam.fr/textes/c00001420/" rel="nofollow">Marie, Jean-Etienne </a><br /> | ||