26edo: Difference between revisions

Wikispaces>xenwolf
**Imported revision 521387146 - Original comment: **
Wikispaces>JosephRuhf
**Imported revision 545592608 - 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:xenwolf|xenwolf]] and made on <tt>2014-09-09 01:34:31 UTC</tt>.<br>
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-03-27 14:29:25 UTC</tt>.<br>
: The original revision id was <tt>521387146</tt>.<br>
: The original revision id was <tt>545592608</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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=&lt;span style="font-size: 1.4em;"&gt;Intervals&lt;/span&gt;=  
=&lt;span style="font-size: 1.4em;"&gt;Intervals&lt;/span&gt;=  
|| degree || [[cent]]s ||= Approximate
|| degree || [[cent]]s
DMS ||= Approximate
Ratios* || Solfege ||
Ratios* || Solfege ||
|| 0 || 0 ||= 1/1 || do ||
|| 0 || 0 ||= 1/1 || do ||
|| 1 || 46.154 ||= 33/32, 49/48, 36/35, 25/24 || di ||
|| 1 || 46.154
|| 2 || 92.308 ||= 21/20, 22/21, 26/25 || rih ||
13°&lt;span style="background-color: #ffffff;"&gt;50'46"&lt;/span&gt; ||= 33/32, 49/48, 36/35, 25/24 || di ||
|| 3 || 138.46 ||= 12/11, 13/12, 14/13, 16/15 || ru ||
|| 2 || 92.308
|| 4 || 184.62 ||= 9/8, 10/9, 11/10 || re ||
&lt;span style="background-color: #ffffff;"&gt;27º41'32"&lt;/span&gt; ||= 21/20, 22/21, 26/25 || rih ||
|| 5 || 230.77 ||= 8/7 || ri ||
|| 3 || 138.46
|| 6 || 276.92 ||= 7/6, 13/11, 33/28 || ma ||
41°&lt;span style="background-color: #ffffff;"&gt;32'18"&lt;/span&gt; ||= 12/11, 13/12, 14/13, 16/15 || ru ||
|| 7 || 323.08 ||= 6/5 || me ||
|| 4 || 184.62
|| 8 || 369.23 ||= 5/4, 11/9, 16/13 || muh/mi ||
&lt;span style="background-color: #ffffff;"&gt;55°23'5"&lt;/span&gt; ||= 9/8, 10/9, 11/10 || re ||
|| 9 || 415.38 ||= 9/7, 14/11, 33/26 || maa ||
|| 5 || 230.77
|| 10 || 461.54 ||= 21/16, 13/10 || fe ||
69°&lt;span style="background-color: #ffffff;"&gt;13'51"&lt;/span&gt; ||= 8/7 || ri ||
|| 11 || 507.69 ||= [[4_3|4/3]] || fa ||
|| 6 || 276.92
|| 12 || 553.85 ||= 11/8, 18/13 || fu ||
&lt;span style="background-color: #ffffff;"&gt;83°4'37"&lt;/span&gt; ||= 7/6, 13/11, 33/28 || ma ||
|| 13 || 600.00 ||= 7/5, 10/7 || fi/se ||
|| 7 || 323.08
|| 14 || 646.15 ||= 16/11, 13/9 || su ||
96°&lt;span style="background-color: #ffffff;"&gt;55'23"&lt;/span&gt; ||= 6/5 || me ||
|| 15 || 692.31 ||= [[3_2|3/2]] || sol ||
|| 8 || 369.23
|| 16 || 738.46 ||= [[32_21|32/21]], [[20_13|20/13]] || si ||
&lt;span style="background-color: #ffffff;"&gt;110°46'9"&lt;/span&gt; ||= 5/4, 11/9, 16/13 || muh/mi ||
|| 17 || 784.62 ||= 11/7, 14/9 || leh ||
|| 9 || 415.38
|| 18 || 830.77 ||= 13/8, 8/5 || le/lu ||
124°&lt;span style="background-color: #ffffff; line-height: 1.5;"&gt;37'&lt;/span&gt;&lt;span style="background-color: #ffffff; line-height: 15.6000003814697px;"&gt;55&lt;/span&gt;&lt;span style="background-color: #ffffff; line-height: 1.5;"&gt;"&lt;/span&gt; ||= 9/7, 14/11, 33/26 || maa ||
|| 19 || 876.92 ||= 5/3 || la ||
|| 10 || 461.54
|| 20 || 923.08 ||= 12/7, 22/13 || li ||
&lt;span style="background-color: #ffffff;"&gt;138°27'42"&lt;/span&gt; ||= 21/16, 13/10 || fe ||
|| 21 || 969.23 ||= 7/4 || ta ||
|| 11 || 507.69
|| 22 || 1015.4 ||= 9/5, 16/9, 20/11 || te ||
152°&lt;span style="background-color: #ffffff;"&gt;18'28"&lt;/span&gt; ||= [[4_3|4/3]] || fa ||
|| 23 || 1061.5 ||= 11/6, 13/7, 15/8, 24/13 || tu/ti ||
|| 12 || 553.85
|| 24 || 1107.7 ||= 21/11, 25/13, 40/21 || to ||
&lt;span style="background-color: #ffffff;"&gt;166°9'14"&lt;/span&gt; ||= 11/8, 18/13 || fu ||
|| 25 || 1153.8 ||= 64/33, 96/49, 35/18, 48/25 || da ||
|| 13 || 600.00
|| 26 || 1200 ||= 2/1 || do ||
180° ||= 7/5, 10/7 || fi/se ||
|| 14 || 646.15
&lt;span style="background-color: #ffffff;"&gt;193°50'46"&lt;/span&gt; ||= 16/11, 13/9 || su ||
|| 15 || 692.31
207°&lt;span style="background-color: #ffffff;"&gt;41'32"&lt;/span&gt; ||= [[3_2|3/2]] || sol ||
|| 16 || 738.46
&lt;span style="background-color: #ffffff;"&gt;221°32'18"&lt;/span&gt; ||= [[32_21|32/21]], [[20_13|20/13]] || si ||
|| 17 || 784.62
235°&lt;span style="background-color: #ffffff;"&gt;23'5"&lt;/span&gt; ||= 11/7, 14/9 || leh ||
|| 18 || 830.77
&lt;span style="background-color: #ffffff;"&gt;249°13'51"&lt;/span&gt; ||= 13/8, 8/5 || le/lu ||
|| 19 || 876.92
263°&lt;span style="background-color: #ffffff;"&gt;4'37"&lt;/span&gt; ||= 5/3 || la ||
|| 20 || 923.08
&lt;span style="background-color: #ffffff;"&gt;276°55'23"&lt;/span&gt; ||= 12/7, 22/13 || li ||
|| 21 || 969.23
290°&lt;span style="background-color: #ffffff;"&gt;46'9"&lt;/span&gt; ||= 7/4 || ta ||
|| 22 || 1015.4
&lt;span style="background-color: #ffffff;"&gt;304°37'55"&lt;/span&gt; ||= 9/5, 16/9, 20/11 || te ||
|| 23 || 1061.5
318°&lt;span style="background-color: #ffffff;"&gt;46'9"&lt;/span&gt; ||= 11/6, 13/7, 15/8, 24/13 || tu/ti ||
|| 24 || 1107.7
&lt;span style="background-color: #ffffff;"&gt;332°18'28"&lt;/span&gt; ||= 21/11, 25/13, 40/21 || to ||
|| 25 || 1153.8
346°&lt;span style="background-color: #ffffff;"&gt;9'14"&lt;/span&gt; ||= 64/33, 96/49, 35/18, 48/25 || da ||
|| 26 || 1200
360° ||= 2/1 || do ||
*based on treating 26-EDO as a 13-limit temperament; other approaches are possible.
*based on treating 26-EDO as a 13-limit temperament; other approaches are possible.


==Intervals by patent val error==
==Intervals by patent val error==  
|| Interval || Error ||
|| Interval || Error ||
|| 13/12 || -0.111 ||
|| 13/12 || -0.111 ||
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|| 13 || 1\26 || Triskaidekic ||
|| 13 || 1\26 || Triskaidekic ||


==Hendec in 26et==
==Hendec in 26et==  
[[Gamelismic clan#Unidec-Hendec|Hendec]], the 13-limit 26&amp;46 temperament with generator ~10/9, concentrates the intervals of greatest accuracy in 26et into the lower ranges of complexity. It has a period of half an octave, with 13/12 reachable by four generators, 8/7 by two, 14/11 by one, 10/9 by one, and 11/8 by three. All of these are tuned to within 2.5 cents of accuracy.
[[Gamelismic clan#Unidec-Hendec|Hendec]], the 13-limit 26&amp;46 temperament with generator ~10/9, concentrates the intervals of greatest accuracy in 26et into the lower ranges of complexity. It has a period of half an octave, with 13/12 reachable by four generators, 8/7 by two, 14/11 by one, 10/9 by one, and 11/8 by three. All of these are tuned to within 2.5 cents of accuracy.


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=Compositions=  
=Compositions=  


&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/City%20Of%20The%20Asleep%20-%20A%20Time-Yellowed%20Photograph%20of%20Cliffs%20Hangs%20in%20the%20Hall.mp3|A Time-Yellowed Photo of the Cliffs Hangs on the Wall ]]////&lt;/span&gt; by [[IgliashonJones|Igliashon Jones]]
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/City%20Of%20The%20Asleep%20-%20A%20Time-Yellowed%20Photograph%20of%20Cliffs%20Hangs%20in%20the%20Hall.mp3|A Time-Yellowed Photo of the Cliffs Hangs on the Wall ]]&lt;/span&gt; by [[IgliashonJones|Igliashon Jones]]
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://micro.soonlabel.com/gene_ward_smith/Others/Igs/Two%20Pairs%20of%20Socks.mp3|Two Pairs of Socks]]////&lt;/span&gt; by [[IgliashonJones|Igliashon Jones]]
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;[[http://micro.soonlabel.com/gene_ward_smith/Others/Igs/Two%20Pairs%20of%20Socks.mp3|Two Pairs of Socks]]&lt;/span&gt; by [[IgliashonJones|Igliashon Jones]]
[[http://www.io.com/%7Ehmiller/midi/26tet.mid|Etude in 26-tone equal temperament]] &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/26tet.mp3|play]]////&lt;/span&gt; by [[Herman Miller]]
[[http://www.io.com/%7Ehmiller/midi/26tet.mid|Etude in 26-tone equal temperament]] &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/26tet.mp3|play]]&lt;/span&gt; by [[Herman Miller]]
[[http://archive.org/details/UnderTheHeatdome|under the heatDome]] ////[[http://archive.org/download/UnderTheHeatdome/under_the_heatDome.mp3|play]]//// by [[Jon Lyle Smith]]
[[http://archive.org/details/UnderTheHeatdome|under the heatDome]] [[http://archive.org/download/UnderTheHeatdome/under_the_heatDome.mp3|play]] by [[Jon Lyle Smith]]
[[http://danielthompson.blogspot.com/2007/04/new-version-of-organ-study-1.html|A New Recording of Organ Study #1]] &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://www.microtonalmusic.net/audio/organstudyremix26edo.mp3|play]]////&lt;/span&gt; by [[Daniel Thompson]]
[[http://danielthompson.blogspot.com/2007/04/new-version-of-organ-study-1.html|A New Recording of Organ Study #1]] &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;[[http://www.microtonalmusic.net/audio/organstudyremix26edo.mp3|play]]&lt;/span&gt; by [[Daniel Thompson]]
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Bobro/LittleFugueIn26_CBobro.mp3|Little Fugue in 26]]////&lt;/span&gt; by [[Cameron Bobro]]
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Bobro/LittleFugueIn26_CBobro.mp3|Little Fugue in 26]]&lt;/span&gt; by [[Cameron Bobro]]
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://soonlabel.com/xenharmonic/wp-content/uploads/2011/11/26-tone-fugue.mp3|26 tone fugue (unfinished)]]////&lt;/span&gt; by Peter Kosmorsky (based on the melody he was singing in the shower, in orgone, to the presumed confusion of those in earshot)
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;[[http://soonlabel.com/xenharmonic/wp-content/uploads/2011/11/26-tone-fugue.mp3|26 tone fugue (unfinished)]]&lt;/span&gt; by Peter Kosmorsky (based on the melody he was singing in the shower, in orgone, to the presumed confusion of those in earshot)
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://www.96edo.com/music/micro900607.mp3|Microtonal music in 26-EDO]]////&lt;/span&gt; by [[Shaahin Mohajeri]]
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;[[http://www.96edo.com/music/micro900607.mp3|Microtonal music in 26-EDO]]&lt;/span&gt; by [[Shaahin Mohajeri]]
[[media type="custom" key="11317210"]]&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://micro.soonlabel.com/gene_ward_smith/Others/Curley/Zach%20Curley%20-%20Chiapas%20Palenque.mp3|Chiapas Palenque]]////&lt;/span&gt; by [[Zach Curley]]
[[media type="custom" key="11317210"]]&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;[[http://micro.soonlabel.com/gene_ward_smith/Others/Curley/Zach%20Curley%20-%20Chiapas%20Palenque.mp3|Chiapas Palenque]]&lt;/span&gt; by [[Zach Curley]]
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://micro.soonlabel.com/gene_ward_smith/Others/Curley/Zach%20Curley%20-%20Injera%20Jam.mp3|Injera Jam]]////&lt;/span&gt; by [[Zach Curley]]
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;[[http://micro.soonlabel.com/gene_ward_smith/Others/Curley/Zach%20Curley%20-%20Injera%20Jam.mp3|Injera Jam]]&lt;/span&gt; by [[Zach Curley]]
////[[http://micro.soonlabel.com/gene_ward_smith/Others/Curley/Zach%20Curley%20-%20Guitar%20Serenade%20in%20Q%20Major.mp3|Guitar Serenade in Q Major]]//// by [[Zach Curley]]
[[http://micro.soonlabel.com/gene_ward_smith/Others/Curley/Zach%20Curley%20-%20Guitar%20Serenade%20in%20Q%20Major.mp3|Guitar Serenade in Q Major]] by [[Zach Curley]]
[[http://midiguru.wordpress.com/2013/01/06/public-rituals/|Public Rituals « Jim Aikin's Oblong Blob]] “The Triumphal Procession of Nebuchadnezzar“</pre></div>
[[http://midiguru.wordpress.com/2013/01/06/public-rituals/|Public Rituals « Jim Aikin's Oblong Blob]] “The Triumphal Procession of Nebuchadnezzar“</pre></div>
<h4>Original HTML content:</h4>
<h4>Original HTML content:</h4>
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s&lt;br /&gt;
DMS&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Approximate&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Approximate&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;46.154&lt;br /&gt;
         &lt;td&gt;46.154&lt;br /&gt;
13°&lt;span style="background-color: #ffffff;"&gt;50'46&amp;quot;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;33/32, 49/48, 36/35, 25/24&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;33/32, 49/48, 36/35, 25/24&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;92.308&lt;br /&gt;
         &lt;td&gt;92.308&lt;br /&gt;
&lt;span style="background-color: #ffffff;"&gt;27º41'32&amp;quot;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;21/20, 22/21, 26/25&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;21/20, 22/21, 26/25&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;138.46&lt;br /&gt;
         &lt;td&gt;138.46&lt;br /&gt;
41°&lt;span style="background-color: #ffffff;"&gt;32'18&amp;quot;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;12/11, 13/12, 14/13, 16/15&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;12/11, 13/12, 14/13, 16/15&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;184.62&lt;br /&gt;
         &lt;td&gt;184.62&lt;br /&gt;
&lt;span style="background-color: #ffffff;"&gt;55°23'5&amp;quot;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;9/8, 10/9, 11/10&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;9/8, 10/9, 11/10&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;230.77&lt;br /&gt;
         &lt;td&gt;230.77&lt;br /&gt;
69°&lt;span style="background-color: #ffffff;"&gt;13'51&amp;quot;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;8/7&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;8/7&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;276.92&lt;br /&gt;
         &lt;td&gt;276.92&lt;br /&gt;
&lt;span style="background-color: #ffffff;"&gt;83°4'37&amp;quot;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;7/6, 13/11, 33/28&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;7/6, 13/11, 33/28&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;323.08&lt;br /&gt;
         &lt;td&gt;323.08&lt;br /&gt;
96°&lt;span style="background-color: #ffffff;"&gt;55'23&amp;quot;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;6/5&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;6/5&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;369.23&lt;br /&gt;
         &lt;td&gt;369.23&lt;br /&gt;
&lt;span style="background-color: #ffffff;"&gt;110°46'9&amp;quot;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;5/4, 11/9, 16/13&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;5/4, 11/9, 16/13&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;415.38&lt;br /&gt;
         &lt;td&gt;415.38&lt;br /&gt;
124°&lt;span style="background-color: #ffffff; line-height: 1.5;"&gt;37'&lt;/span&gt;&lt;span style="background-color: #ffffff; line-height: 15.6000003814697px;"&gt;55&lt;/span&gt;&lt;span style="background-color: #ffffff; line-height: 1.5;"&gt;&amp;quot;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;9/7, 14/11, 33/26&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;9/7, 14/11, 33/26&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;461.54&lt;br /&gt;
         &lt;td&gt;461.54&lt;br /&gt;
&lt;span style="background-color: #ffffff;"&gt;138°27'42&amp;quot;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;21/16, 13/10&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;21/16, 13/10&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;507.69&lt;br /&gt;
         &lt;td&gt;507.69&lt;br /&gt;
152°&lt;span style="background-color: #ffffff;"&gt;18'28&amp;quot;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/4_3"&gt;4/3&lt;/a&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/4_3"&gt;4/3&lt;/a&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;553.85&lt;br /&gt;
         &lt;td&gt;553.85&lt;br /&gt;
&lt;span style="background-color: #ffffff;"&gt;166°9'14&amp;quot;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;11/8, 18/13&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;11/8, 18/13&lt;br /&gt;
Line 352: Line 392:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;600.00&lt;br /&gt;
         &lt;td&gt;600.00&lt;br /&gt;
180°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;7/5, 10/7&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;7/5, 10/7&lt;br /&gt;
Line 362: Line 403:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;646.15&lt;br /&gt;
         &lt;td&gt;646.15&lt;br /&gt;
&lt;span style="background-color: #ffffff;"&gt;193°50'46&amp;quot;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;16/11, 13/9&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;16/11, 13/9&lt;br /&gt;
Line 372: Line 414:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;692.31&lt;br /&gt;
         &lt;td&gt;692.31&lt;br /&gt;
207°&lt;span style="background-color: #ffffff;"&gt;41'32&amp;quot;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt;&lt;br /&gt;
Line 382: Line 425:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;738.46&lt;br /&gt;
         &lt;td&gt;738.46&lt;br /&gt;
&lt;span style="background-color: #ffffff;"&gt;221°32'18&amp;quot;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/32_21"&gt;32/21&lt;/a&gt;, &lt;a class="wiki_link" href="/20_13"&gt;20/13&lt;/a&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/32_21"&gt;32/21&lt;/a&gt;, &lt;a class="wiki_link" href="/20_13"&gt;20/13&lt;/a&gt;&lt;br /&gt;
Line 392: Line 436:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;784.62&lt;br /&gt;
         &lt;td&gt;784.62&lt;br /&gt;
235°&lt;span style="background-color: #ffffff;"&gt;23'5&amp;quot;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;11/7, 14/9&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;11/7, 14/9&lt;br /&gt;
Line 402: Line 447:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;830.77&lt;br /&gt;
         &lt;td&gt;830.77&lt;br /&gt;
&lt;span style="background-color: #ffffff;"&gt;249°13'51&amp;quot;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;13/8, 8/5&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;13/8, 8/5&lt;br /&gt;
Line 412: Line 458:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;876.92&lt;br /&gt;
         &lt;td&gt;876.92&lt;br /&gt;
263°&lt;span style="background-color: #ffffff;"&gt;4'37&amp;quot;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;5/3&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;5/3&lt;br /&gt;
Line 422: Line 469:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;923.08&lt;br /&gt;
         &lt;td&gt;923.08&lt;br /&gt;
&lt;span style="background-color: #ffffff;"&gt;276°55'23&amp;quot;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;12/7, 22/13&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;12/7, 22/13&lt;br /&gt;
Line 432: Line 480:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;969.23&lt;br /&gt;
         &lt;td&gt;969.23&lt;br /&gt;
290°&lt;span style="background-color: #ffffff;"&gt;46'9&amp;quot;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;7/4&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;7/4&lt;br /&gt;
Line 442: Line 491:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1015.4&lt;br /&gt;
         &lt;td&gt;1015.4&lt;br /&gt;
&lt;span style="background-color: #ffffff;"&gt;304°37'55&amp;quot;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;9/5, 16/9, 20/11&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;9/5, 16/9, 20/11&lt;br /&gt;
Line 452: Line 502:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1061.5&lt;br /&gt;
         &lt;td&gt;1061.5&lt;br /&gt;
318°&lt;span style="background-color: #ffffff;"&gt;46'9&amp;quot;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;11/6, 13/7, 15/8, 24/13&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;11/6, 13/7, 15/8, 24/13&lt;br /&gt;
Line 462: Line 513:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1107.7&lt;br /&gt;
         &lt;td&gt;1107.7&lt;br /&gt;
&lt;span style="background-color: #ffffff;"&gt;332°18'28&amp;quot;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;21/11, 25/13, 40/21&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;21/11, 25/13, 40/21&lt;br /&gt;
Line 472: Line 524:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1153.8&lt;br /&gt;
         &lt;td&gt;1153.8&lt;br /&gt;
346°&lt;span style="background-color: #ffffff;"&gt;9'14&amp;quot;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;64/33, 96/49, 35/18, 48/25&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;64/33, 96/49, 35/18, 48/25&lt;br /&gt;
Line 482: Line 535:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1200&lt;br /&gt;
         &lt;td&gt;1200&lt;br /&gt;
360°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;2/1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;2/1&lt;br /&gt;
Line 493: Line 547:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:5:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Intervals-Intervals by patent val error"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:5 --&gt;Intervals by patent val error&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:5:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Intervals-Intervals by patent val error"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:5 --&gt;Intervals by patent val error&lt;/h2&gt;
 


&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
Line 772: Line 826:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:9:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Rank two temperaments-Hendec in 26et"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:9 --&gt;Hendec in 26et&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:9:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Rank two temperaments-Hendec in 26et"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:9 --&gt;Hendec in 26et&lt;/h2&gt;
&lt;a class="wiki_link" href="/Gamelismic%20clan#Unidec-Hendec"&gt;Hendec&lt;/a&gt;, the 13-limit 26&amp;amp;46 temperament with generator ~10/9, concentrates the intervals of greatest accuracy in 26et into the lower ranges of complexity. It has a period of half an octave, with 13/12 reachable by four generators, 8/7 by two, 14/11 by one, 10/9 by one, and 11/8 by three. All of these are tuned to within 2.5 cents of accuracy.&lt;br /&gt;
&lt;a class="wiki_link" href="/Gamelismic%20clan#Unidec-Hendec"&gt;Hendec&lt;/a&gt;, the 13-limit 26&amp;amp;46 temperament with generator ~10/9, concentrates the intervals of greatest accuracy in 26et into the lower ranges of complexity. It has a period of half an octave, with 13/12 reachable by four generators, 8/7 by two, 14/11 by one, 10/9 by one, and 11/8 by three. All of these are tuned to within 2.5 cents of accuracy.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:11:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="Commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:11 --&gt;Commas&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:11:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="Commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:11 --&gt;Commas&lt;/h1&gt;