26edo: Difference between revisions

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: This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-06-10 16:27:46 UTC</tt>.

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<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]]

//26edo// divides the [[octave]] into 26 equal parts of 46.154 [[cent]]s each. It tempers out 81/80 in the [[5-limit]], making it a meantone tuning with a very flat fifth. In the [[7-limit]], it tempers out 50/49, 525/512 and 875/864, and supports [[Meantone family|injera]], [[Meantone family|flattone]], [[Jubilismic clan#Lemba|lemba]] and [[Jubilismic clan#Doublewide|doublewide]] temperaments. It really comes into its own as a higher-limit temperament, being the smallest equal division which represents the [[13-limit|13 odd limit]] [[consistent|consistently]]. 26edo has a very good approximation of the harmonic seventh ([[7_4|7/4]]).

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|| degree || [[cent]]s ||= Approximate

Ratios* ||

Ratios* || Solfege ||

|| 0 || 0 ||= 1/1 ||

|| 0 || 0 ||= 1/1 || do ||

|| 1 || 46.154 ||= 33/32, 49/48, 36/35, 25/24 ||

|| 1 || 46.154 ||= 33/32, 49/48, 36/35, 25/24 || di ||

|| 2 || 92.308 ||= 21/20 ||

|| 2 || 92.308 ||= 21/20 || ro ||

|| 3 || 138.46 ||= 14/13, 16/15 ||

|| 3 || 138.46 ||= 14/13, 16/15 || ru ||

|| 4 || 184.62 ||= 9/8, 10/9, 11/10 ||

|| 4 || 184.62 ||= 9/8, 10/9, 11/10 || re ||

|| 5 || 230.77 ||= 8/7 ||

|| 5 || 230.77 ||= 8/7 || ri ||

|| 6 || 276.92 ||= 7/6, 13/11, 33/28 ||

|| 6 || 276.92 ||= 7/6, 13/11, 33/28 || ma ||

|| 7 || 323.08 ||= 6/5 ||

|| 7 || 323.08 ||= 6/5 || me ||

|| 8 || 369.23 ||= 5/4, 16/13 ||

|| 8 || 369.23 ||= 5/4, 16/13 || mi ||

|| 9 || 415.38 ||= 9/7, 14/11, 33/26 ||

|| 9 || 415.38 ||= 9/7, 14/11, 33/26 || maa ||

|| 10 || 461.54 ||= 21/16, 13/10 ||

|| 10 || 461.54 ||= 21/16, 13/10 || fe ||

|| 11 || 507.69 ||= [[4_3|4/3]], [[43_32|43/32]], [[59_44|59/44]] ||

|| 11 || 507.69 ||= [[4_3|4/3]], [[43_32|43/32]], [[59_44|59/44]] || fa ||

|| 12 || 553.85 ||= 11/8, 18/13 ||

|| 12 || 553.85 ||= 11/8, 18/13 || fu ||

|| 13 || 600.00 ||= 7/5, 10/7 ||

|| 13 || 600.00 ||= 7/5, 10/7 || fi ||

|| 14 || 646.15 ||= 16/11, 13/9 ||

|| 14 || 646.15 ||= 16/11, 13/9 || su ||

|| 15 || 692.31 ||= 3/2 ||

|| 15 || 692.31 ||= 3/2 || sol ||

|| 16 || 738.46 ||= 32/21, 20/13 ||

|| 16 || 738.46 ||= 32/21, 20/13 || si ||

|| 17 || 784.62 ||= 11/7, 14/9 ||

|| 17 || 784.62 ||= 11/7, 14/9 || leh ||

|| 18 || 830.77 ||= 13/8, 8/5 ||

|| 18 || 830.77 ||= 13/8, 8/5 || le ||

|| 19 || 876.92 ||= 5/3 ||

|| 19 || 876.92 ||= 5/3 || la ||

|| 20 || 923.08 ||= 12/7, 22/13 ||

|| 20 || 923.08 ||= 12/7, 22/13 || li ||

|| 21 || 969.23 ||= 7/4 ||

|| 21 || 969.23 ||= 7/4 || ta ||

|| 22 || 1015.4 ||= 9/5, 16/9, 20/11 ||

|| 22 || 1015.4 ||= 9/5, 16/9, 20/11 || te ||

|| 23 || 1061.5 ||= 13/7, 15/8 ||

|| 23 || 1061.5 ||= 13/7, 15/8 || ti ||

|| 24 || 1107.7 ||= 40/21 ||

|| 24 || 1107.7 ||= 40/21 || to ||

|| 25 || 1153.8 ||= 64/33, 96/49, 35/18, 48/25 ||

|| 25 || 1153.8 ||= 64/33, 96/49, 35/18, 48/25 || da ||

|| 26 || 1200 ||= 2/1 ||

|| 26 || 1200 ||= 2/1 || do ||

*based on treating 26-EDO as a 13-limit temperament; other approaches are possible.

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=Compositions=

[[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 ]] by [[IgliashonJones|Igliashon Jones]]

//[[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 ]]// by [[IgliashonJones|Igliashon Jones]]

[[http://micro.soonlabel.com/gene_ward_smith/Others/Igs/Two%20Pairs%20of%20Socks.mp3|Two Pairs of Socks]] by [[IgliashonJones|Igliashon Jones]]

//[[http://micro.soonlabel.com/gene_ward_smith/Others/Igs/Two%20Pairs%20of%20Socks.mp3|Two Pairs of Socks]]// by [[IgliashonJones|Igliashon Jones]]

[[http://www.io.com/%7Ehmiller/midi/26tet.mid|Etude in 26-tone equal temperament]] [[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/26tet.mp3|play]] by [[Herman Miller]]

[[http://www.io.com/%7Ehmiller/midi/26tet.mid|Etude in 26-tone equal temperament]] //[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/26tet.mp3|play]]// 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://www24.us.archive.org/details/AnotherAireForLute|Another Aire, for Lute]] [[http://archive.org/download/AnotherAireForLute/AnotherAireForLute.mp3|play]] by [[Jon Lyle Smith]]

[[http://www24.us.archive.org/details/AnotherAireForLute|Another Aire, for Lute]] //[[http://archive.org/download/AnotherAireForLute/AnotherAireForLute.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]] [[http://www.microtonalmusic.net/audio/organstudyremix26edo.mp3|play]] by [[Daniel Thompson]]

[[http://danielthompson.blogspot.com/2007/04/new-version-of-organ-study-1.html|A New Recording of Organ Study #1]] //[[http://www.microtonalmusic.net/audio/organstudyremix26edo.mp3|play]]// by [[Daniel Thompson]]

[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Bobro/LittleFugueIn26_CBobro.mp3|Little Fugue in 26]] by [[Cameron Bobro]]

//[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Bobro/LittleFugueIn26_CBobro.mp3|Little Fugue in 26]]// by [[Cameron Bobro]]

[[http://soonlabel.com/xenharmonic/wp-content/uploads/2011/11/26-tone-fugue.mp3|26 tone fugue (unfinished)]] by Peter Kosmorsky (based on the melody he was singing in the shower, in orgone, to the presumed confusion of those in earshot)

//[[http://soonlabel.com/xenharmonic/wp-content/uploads/2011/11/26-tone-fugue.mp3|26 tone fugue (unfinished)]]// by Peter Kosmorsky (based on the melody he was singing in the shower, in orgone, to the presumed confusion of those in earshot)

[[http://www.96edo.com/music/micro900607.mp3|Microtonal music in 26-EDO]] by [[Shaahin Mohajeri]]

//[[http://www.96edo.com/music/micro900607.mp3|Microtonal music in 26-EDO]]// by [[Shaahin Mohajeri]]

[[media type="custom" key="11317210"]][[http://micro.soonlabel.com/gene_ward_smith/Others/Curley/Zach%20Curley%20-%20Chiapas%20Palenque.mp3|Chiapas Palenque]] by [[Zach Curley]]

[[media type="custom" key="11317210"]]//[[http://micro.soonlabel.com/gene_ward_smith/Others/Curley/Zach%20Curley%20-%20Chiapas%20Palenque.mp3|Chiapas Palenque]]// by [[Zach Curley]]

[[http://micro.soonlabel.com/gene_ward_smith/Others/Curley/Zach%20Curley%20-%20Injera%20Jam.mp3|Injera Jam]] by [[Zach Curley]]</pre></div>

//[[http://micro.soonlabel.com/gene_ward_smith/Others/Curley/Zach%20Curley%20-%20Injera%20Jam.mp3|Injera Jam]]// by [[Zach Curley]]</pre></div>

<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>26edo</title></head><body><a href="#Structure">Structure</a> | <a href="#Intervals">Intervals</a> | <a href="#Rank two temperaments">Rank two temperaments</a> | <a href="#Commas">Commas</a> | <a href="#Orgone Temperament">Orgone Temperament</a> | <a href="#toc5"> </a> | <a href="#Additional Scalar Bases Available in 26-EDO:">Additional Scalar Bases Available in 26-EDO:</a> | <a href="#Literature">Literature</a> | <a href="#Compositions">Compositions</a>

~~ ~~

26edo divides the <a class="wiki_link" href="/octave">octave</a> into 26 equal parts of 46.154 <a class="wiki_link" href="/cent">cent</a>s each. It tempers out 81/80 in the <a class="wiki_link" href="/5-limit">5-limit</a>, making it a meantone tuning with a very flat fifth. In the <a class="wiki_link" href="/7-limit">7-limit</a>, it tempers out 50/49, 525/512 and 875/864, and supports <a class="wiki_link" href="/Meantone%20family">injera</a>, <a class="wiki_link" href="/Meantone%20family">flattone</a>, <a class="wiki_link" href="/Jubilismic%20clan#Lemba">lemba</a> and <a class="wiki_link" href="/Jubilismic%20clan#Doublewide">doublewide</a> temperaments. It really comes into its own as a higher-limit temperament, being the smallest equal division which represents the <a class="wiki_link" href="/13-limit">13 odd limit</a> <a class="wiki_link" href="/consistent">consistently</a>. 26edo has a very good approximation of the harmonic seventh (<a class="wiki_link" href="/7_4">7/4</a>).

26edo divides the <a class="wiki_link" href="/octave">octave</a> into 26 equal parts of 46.154 <a class="wiki_link" href="/cent">cent</a>s each. It tempers out 81/80 in the <a class="wiki_link" href="/5-limit">5-limit</a>, making it a meantone tuning with a very flat fifth. In the <a class="wiki_link" href="/7-limit">7-limit</a>, it tempers out 50/49, 525/512 and 875/864, and supports <a class="wiki_link" href="/Meantone%20family">injera</a>, <a class="wiki_link" href="/Meantone%20family">flattone</a>, <a class="wiki_link" href="/Jubilismic%20clan#Lemba">lemba</a> and <a class="wiki_link" href="/Jubilismic%20clan#Doublewide">doublewide</a> temperaments. It really comes into its own as a higher-limit temperament, being the smallest equal division which represents the <a class="wiki_link" href="/13-limit">13 odd limit</a> <a class="wiki_link" href="/consistent">consistently</a>. 26edo has a very good approximation of the harmonic seventh (<a class="wiki_link" href="/7_4">7/4</a>).

<h1 id="toc0"><a name="Structure"></a>Structure</h1>

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<td style="text-align: center;">Approximate

Ratios*

</td>

<td>Solfege

</td>

</tr>

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</td>

<td style="text-align: center;">1/1

</td>

<td>do

</td>

</tr>

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Line 194:

</td>

<td style="text-align: center;">33/32, 49/48, 36/35, 25/24

</td>

<td>di

</td>

</tr>

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Line 204:

</td>

<td style="text-align: center;">21/20

</td>

<td>ro

</td>

</tr>

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Line 214:

</td>

<td style="text-align: center;">14/13, 16/15

</td>

<td>ru

</td>

</tr>

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Line 224:

</td>

<td style="text-align: center;">9/8, 10/9, 11/10

</td>

<td>re

</td>

</tr>

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Line 234:

</td>

<td style="text-align: center;">8/7

</td>

<td>ri

</td>

</tr>

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Line 244:

</td>

<td style="text-align: center;">7/6, 13/11, 33/28

</td>

<td>ma

</td>

</tr>

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Line 254:

</td>

<td style="text-align: center;">6/5

</td>

<td>me

</td>

</tr>

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Line 264:

</td>

<td style="text-align: center;">5/4, 16/13

</td>

<td>mi

</td>

</tr>

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Line 274:

</td>

<td style="text-align: center;">9/7, 14/11, 33/26

</td>

<td>maa

</td>

</tr>

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Line 284:

</td>

<td style="text-align: center;">21/16, 13/10

</td>

<td>fe

</td>

</tr>

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Line 294:

</td>

</td>

<td>fa

</td>

</tr>

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Line 304:

</td>

<td style="text-align: center;">11/8, 18/13

</td>

<td>fu

</td>

</tr>

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Line 314:

</td>

<td style="text-align: center;">7/5, 10/7

</td>

<td>fi

</td>

</tr>

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Line 324:

</td>

<td style="text-align: center;">16/11, 13/9

</td>

<td>su

</td>

</tr>

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Line 334:

</td>

<td style="text-align: center;">3/2

</td>

<td>sol

</td>

</tr>

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Line 344:

</td>

<td style="text-align: center;">32/21, 20/13

</td>

<td>si

</td>

</tr>

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Line 354:

</td>

<td style="text-align: center;">11/7, 14/9

</td>

<td>leh

</td>

</tr>

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</td>

<td style="text-align: center;">13/8, 8/5

</td>

<td>le

</td>

</tr>

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</td>

<td style="text-align: center;">5/3

</td>

<td>la

</td>

</tr>

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</td>

<td style="text-align: center;">12/7, 22/13

</td>

<td>li

</td>

</tr>

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</td>

<td style="text-align: center;">7/4

</td>

<td>ta

</td>

</tr>

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Line 404:

</td>

<td style="text-align: center;">9/5, 16/9, 20/11

</td>

<td>te

</td>

</tr>

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Line 414:

</td>

<td style="text-align: center;">13/7, 15/8

</td>

<td>ti

</td>

</tr>

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</td>

<td style="text-align: center;">40/21

</td>

<td>to

</td>

</tr>

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</td>

<td style="text-align: center;">64/33, 96/49, 35/18, 48/25

</td>

<td>da

</td>

</tr>

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</td>

<td style="text-align: center;">2/1

</td>

<td>do

</td>

</tr>

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Orgone has a minimax tuning which sharpens both 7 and 11 by 1/5 of an orgonisma, or 1.679 cents. This makes the generator g a 77/64 sharp by 2/5 of the orgonisma. From this we may conclude that 24/89 or 31/115 would be reasonable alternatives to the 7/26 generator.

<img src="/file/view/orgone_heptatonic.jpg/155606933/orgone_heptatonic.jpg" alt="orgone_heptatonic.jpg" title="orgone_heptatonic.jpg" />

<img src="/file/view/orgone_heptatonic.jpg/155606933/orgone_heptatonic.jpg" alt="orgone_heptatonic.jpg" title="orgone_heptatonic.jpg" />

<h1 id="toc5"> </h1>

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<h1 id="toc8"><a name="Compositions"></a>Compositions</h1>

<a class="wiki_link_ext" href="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" rel="nofollow">A Time-Yellowed Photo of the Cliffs Hangs on the Wall </a> by <a class="wiki_link" href="/IgliashonJones">Igliashon Jones</a>

<a class="wiki_link_ext" href="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" rel="nofollow">A Time-Yellowed Photo of the Cliffs Hangs on the Wall </a> by <a class="wiki_link" href="/IgliashonJones">Igliashon Jones</a>

<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Igs/Two%20Pairs%20of%20Socks.mp3" rel="nofollow">Two Pairs of Socks</a> by <a class="wiki_link" href="/IgliashonJones">Igliashon Jones</a>

<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Igs/Two%20Pairs%20of%20Socks.mp3" rel="nofollow">Two Pairs of Socks</a> by <a class="wiki_link" href="/IgliashonJones">Igliashon Jones</a>

<a class="wiki_link_ext" href="http://www.io.com/%7Ehmiller/midi/26tet.mid" rel="nofollow">Etude in 26-tone equal temperament</a> <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/26tet.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Herman%20Miller">Herman Miller</a>

<a class="wiki_link_ext" href="http://www.io.com/%7Ehmiller/midi/26tet.mid" rel="nofollow">Etude in 26-tone equal temperament</a> <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/26tet.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Herman%20Miller">Herman Miller</a>

<a class="wiki_link_ext" href="http://archive.org/details/UnderTheHeatdome" rel="nofollow">under the heatDome</a> <a class="wiki_link_ext" href="http://archive.org/download/UnderTheHeatdome/under_the_heatDome.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Jon%20Lyle%20Smith">Jon Lyle Smith</a>

<a class="wiki_link_ext" href="http://archive.org/details/UnderTheHeatdome" rel="nofollow">under the heatDome</a> <a class="wiki_link_ext" href="http://archive.org/download/UnderTheHeatdome/under_the_heatDome.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Jon%20Lyle%20Smith">Jon Lyle Smith</a>

<a class="wiki_link_ext" href="http://www24.us.archive.org/details/AnotherAireForLute" rel="nofollow">Another Aire, for Lute</a> <a class="wiki_link_ext" href="http://archive.org/download/AnotherAireForLute/AnotherAireForLute.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Jon%20Lyle%20Smith">Jon Lyle Smith</a>

<a class="wiki_link_ext" href="http://www24.us.archive.org/details/AnotherAireForLute" rel="nofollow">Another Aire, for Lute</a> <a class="wiki_link_ext" href="http://archive.org/download/AnotherAireForLute/AnotherAireForLute.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Jon%20Lyle%20Smith">Jon Lyle Smith</a>

<a class="wiki_link_ext" href="http://danielthompson.blogspot.com/2007/04/new-version-of-organ-study-1.html" rel="nofollow">A New Recording of Organ Study #1</a> <a class="wiki_link_ext" href="http://www.microtonalmusic.net/audio/organstudyremix26edo.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Daniel%20Thompson">Daniel Thompson</a>

<a class="wiki_link_ext" href="http://danielthompson.blogspot.com/2007/04/new-version-of-organ-study-1.html" rel="nofollow">A New Recording of Organ Study #1</a> <a class="wiki_link_ext" href="http://www.microtonalmusic.net/audio/organstudyremix26edo.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Daniel%20Thompson">Daniel Thompson</a>

<a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Bobro/LittleFugueIn26_CBobro.mp3" rel="nofollow">Little Fugue in 26</a> by <a class="wiki_link" href="/Cameron%20Bobro">Cameron Bobro</a>

<a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Bobro/LittleFugueIn26_CBobro.mp3" rel="nofollow">Little Fugue in 26</a> by <a class="wiki_link" href="/Cameron%20Bobro">Cameron Bobro</a>

<a class="wiki_link_ext" href="http://soonlabel.com/xenharmonic/wp-content/uploads/2011/11/26-tone-fugue.mp3" rel="nofollow">26 tone fugue (unfinished)</a> by Peter Kosmorsky (based on the melody he was singing in the shower, in orgone, to the presumed confusion of those in earshot)

<a class="wiki_link_ext" href="http://soonlabel.com/xenharmonic/wp-content/uploads/2011/11/26-tone-fugue.mp3" rel="nofollow">26 tone fugue (unfinished)</a> by Peter Kosmorsky (based on the melody he was singing in the shower, in orgone, to the presumed confusion of those in earshot)

<a class="wiki_link_ext" href="http://www.96edo.com/music/micro900607.mp3" rel="nofollow">Microtonal music in 26-EDO</a> by <a class="wiki_link" href="/Shaahin%20Mohajeri">Shaahin Mohajeri</a>

<a class="wiki_link_ext" href="http://www.96edo.com/music/micro900607.mp3" rel="nofollow">Microtonal music in 26-EDO</a> by <a class="wiki_link" href="/Shaahin%20Mohajeri">Shaahin Mohajeri</a>

<script type="text/javascript" src="http://mediaplayer.yahoo.com/js">

</script><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Curley/Zach%20Curley%20-%20Chiapas%20Palenque.mp3" rel="nofollow">Chiapas Palenque</a> by <a class="wiki_link" href="/Zach%20Curley">Zach Curley</a>

</script><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Curley/Zach%20Curley%20-%20Chiapas%20Palenque.mp3" rel="nofollow">Chiapas Palenque</a> by <a class="wiki_link" href="/Zach%20Curley">Zach Curley</a>

<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Curley/Zach%20Curley%20-%20Injera%20Jam.mp3" rel="nofollow">Injera Jam</a> by <a class="wiki_link" href="/Zach%20Curley">Zach Curley</a></body></html></pre></div>

<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Curley/Zach%20Curley%20-%20Injera%20Jam.mp3" rel="nofollow">Injera Jam</a> by <a class="wiki_link" href="/Zach%20Curley">Zach Curley</a></body></html></pre></div>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-05-31 22:16:34 UTC</tt>.<br>
+: This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-06-10 16:27:46 UTC</tt>.<br>
-: The original revision id was <tt>341579328</tt>.<br>
+: The original revision id was <tt>344237136</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>
 <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]]
 //26edo// divides the [[octave]] into 26 equal parts of 46.154 [[cent]]s each. It tempers out 81/80 in the [[5-limit]], making it a meantone tuning with a very flat fifth. In the [[7-limit]], it tempers out 50/49, 525/512 and 875/864, and supports [[Meantone family|injera]], [[Meantone family|flattone]], [[Jubilismic clan#Lemba|lemba]] and [[Jubilismic clan#Doublewide|doublewide]] temperaments. It really comes into its own as a higher-limit temperament, being the smallest equal division which represents the [[13-limit|13 odd limit]] [[consistent|consistently]]. 26edo has a very good approximation of the harmonic seventh ([[7_4|7/4]]).
@@ Line 21: / Line 20: @@
 || degree || [[cent]]s ||= Approximate
-Ratios* ||
+Ratios* || Solfege ||
-|| 0 || 0 ||= 1/1 ||
+|| 0 || 0 ||= 1/1 || do ||
-|| 1 || 46.154 ||= 33/32, 49/48, 36/35, 25/24 ||
+|| 1 || 46.154 ||= 33/32, 49/48, 36/35, 25/24 || di ||
-|| 2 || 92.308 ||= 21/20 ||
+|| 2 || 92.308 ||= 21/20 || ro ||
-|| 3 || 138.46 ||= 14/13, 16/15 ||
+|| 3 || 138.46 ||= 14/13, 16/15 || ru ||
-|| 4 || 184.62 ||= 9/8, 10/9, 11/10 ||
+|| 4 || 184.62 ||= 9/8, 10/9, 11/10 || re ||
-|| 5 || 230.77 ||= 8/7 ||
+|| 5 || 230.77 ||= 8/7 || ri ||
-|| 6 || 276.92 ||= 7/6, 13/11, 33/28 ||
+|| 6 || 276.92 ||= 7/6, 13/11, 33/28 || ma ||
-|| 7 || 323.08 ||= 6/5 ||
+|| 7 || 323.08 ||= 6/5 || me ||
-|| 8 || 369.23 ||= 5/4, 16/13 ||
+|| 8 || 369.23 ||= 5/4, 16/13 || mi ||
-|| 9 || 415.38 ||= 9/7, 14/11, 33/26 ||
+|| 9 || 415.38 ||= 9/7, 14/11, 33/26 || maa ||
-|| 10 || 461.54 ||= 21/16, 13/10 ||
+|| 10 || 461.54 ||= 21/16, 13/10 || fe ||
-|| 11 || 507.69 ||= [[4_3|4/3]], [[43_32|43/32]], [[59_44|59/44]] ||
+|| 11 || 507.69 ||= [[4_3|4/3]], [[43_32|43/32]], [[59_44|59/44]] || fa ||
-|| 12 || 553.85 ||= 11/8, 18/13 ||
+|| 12 || 553.85 ||= 11/8, 18/13 || fu ||
-|| 13 || 600.00 ||= 7/5, 10/7 ||
+|| 13 || 600.00 ||= 7/5, 10/7 || fi ||
-|| 14 || 646.15 ||= 16/11, 13/9 ||
+|| 14 || 646.15 ||= 16/11, 13/9 || su ||
-|| 15 || 692.31 ||= 3/2 ||
+|| 15 || 692.31 ||= 3/2 || sol ||
-|| 16 || 738.46 ||= 32/21, 20/13 ||
+|| 16 || 738.46 ||= 32/21, 20/13 || si ||
-|| 17 || 784.62 ||= 11/7, 14/9 ||
+|| 17 || 784.62 ||= 11/7, 14/9 || leh ||
-|| 18 || 830.77 ||= 13/8, 8/5 ||
+|| 18 || 830.77 ||= 13/8, 8/5 || le ||
-|| 19 || 876.92 ||= 5/3 ||
+|| 19 || 876.92 ||= 5/3 || la ||
-|| 20 || 923.08 ||= 12/7, 22/13 ||
+|| 20 || 923.08 ||= 12/7, 22/13 || li ||
-|| 21 || 969.23 ||= 7/4 ||
+|| 21 || 969.23 ||= 7/4 || ta ||
-|| 22 || 1015.4 ||= 9/5, 16/9, 20/11 ||
+|| 22 || 1015.4 ||= 9/5, 16/9, 20/11 || te ||
-|| 23 || 1061.5 ||= 13/7, 15/8 ||
+|| 23 || 1061.5 ||= 13/7, 15/8 || ti ||
-|| 24 || 1107.7 ||= 40/21 ||
+|| 24 || 1107.7 ||= 40/21 || to ||
-|| 25 || 1153.8 ||= 64/33, 96/49, 35/18, 48/25 ||
+|| 25 || 1153.8 ||= 64/33, 96/49, 35/18, 48/25 || da ||
-|| 26 || 1200 ||= 2/1 ||
+|| 26 || 1200 ||= 2/1 || do ||
 *based on treating 26-EDO as a 13-limit temperament; other approaches are possible.
@@ Line 140: / Line 139: @@
 =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://www24.us.archive.org/details/AnotherAireForLute|Another Aire, for Lute]] [[http://archive.org/download/AnotherAireForLute/AnotherAireForLute.mp3|play]] by [[Jon Lyle Smith]]
+[[http://www24.us.archive.org/details/AnotherAireForLute|Another Aire, for Lute]] //[[http://archive.org/download/AnotherAireForLute/AnotherAireForLute.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]]</pre></div>
+&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]]</pre></div>
 <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">&lt;html&gt;&lt;head&gt;&lt;title&gt;26edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:19:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:19 --&gt;&lt;!-- ws:start:WikiTextTocRule:20: --&gt;&lt;a href="#Structure"&gt;Structure&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:20 --&gt;&lt;!-- ws:start:WikiTextTocRule:21: --&gt; | &lt;a href="#Intervals"&gt;Intervals&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:21 --&gt;&lt;!-- ws:start:WikiTextTocRule:22: --&gt; | &lt;a href="#Rank two temperaments"&gt;Rank two temperaments&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:22 --&gt;&lt;!-- ws:start:WikiTextTocRule:23: --&gt; | &lt;a href="#Commas"&gt;Commas&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:23 --&gt;&lt;!-- ws:start:WikiTextTocRule:24: --&gt; | &lt;a href="#Orgone Temperament"&gt;Orgone Temperament&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:24 --&gt;&lt;!-- ws:start:WikiTextTocRule:25: --&gt; | &lt;a href="#toc5"&gt; &lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:25 --&gt;&lt;!-- ws:start:WikiTextTocRule:26: --&gt; | &lt;a href="#Additional Scalar Bases Available in 26-EDO:"&gt;Additional Scalar Bases Available in 26-EDO:&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:26 --&gt;&lt;!-- ws:start:WikiTextTocRule:27: --&gt; | &lt;a href="#Literature"&gt;Literature&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:27 --&gt;&lt;!-- ws:start:WikiTextTocRule:28: --&gt; | &lt;a href="#Compositions"&gt;Compositions&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:28 --&gt;&lt;!-- ws:start:WikiTextTocRule:29: --&gt;
-&lt;!-- ws:end:WikiTextTocRule:29 --&gt;&lt;br /&gt;
+&lt;!-- ws:end:WikiTextTocRule:29 --&gt;&lt;em&gt;26edo&lt;/em&gt; divides the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 26 equal parts of 46.154 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s each. It tempers out 81/80 in the &lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt;, making it a meantone tuning with a very flat fifth. In the &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt;, it tempers out 50/49, 525/512 and 875/864, and supports &lt;a class="wiki_link" href="/Meantone%20family"&gt;injera&lt;/a&gt;, &lt;a class="wiki_link" href="/Meantone%20family"&gt;flattone&lt;/a&gt;, &lt;a class="wiki_link" href="/Jubilismic%20clan#Lemba"&gt;lemba&lt;/a&gt; and &lt;a class="wiki_link" href="/Jubilismic%20clan#Doublewide"&gt;doublewide&lt;/a&gt; temperaments. It really comes into its own as a higher-limit temperament, being the smallest equal division which represents the &lt;a class="wiki_link" href="/13-limit"&gt;13 odd limit&lt;/a&gt; &lt;a class="wiki_link" href="/consistent"&gt;consistently&lt;/a&gt;. 26edo has a very good approximation of the harmonic seventh (&lt;a class="wiki_link" href="/7_4"&gt;7/4&lt;/a&gt;).&lt;br /&gt;
-&lt;em&gt;26edo&lt;/em&gt; divides the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 26 equal parts of 46.154 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s each. It tempers out 81/80 in the &lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt;, making it a meantone tuning with a very flat fifth. In the &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt;, it tempers out 50/49, 525/512 and 875/864, and supports &lt;a class="wiki_link" href="/Meantone%20family"&gt;injera&lt;/a&gt;, &lt;a class="wiki_link" href="/Meantone%20family"&gt;flattone&lt;/a&gt;, &lt;a class="wiki_link" href="/Jubilismic%20clan#Lemba"&gt;lemba&lt;/a&gt; and &lt;a class="wiki_link" href="/Jubilismic%20clan#Doublewide"&gt;doublewide&lt;/a&gt; temperaments. It really comes into its own as a higher-limit temperament, being the smallest equal division which represents the &lt;a class="wiki_link" href="/13-limit"&gt;13 odd limit&lt;/a&gt; &lt;a class="wiki_link" href="/consistent"&gt;consistently&lt;/a&gt;. 26edo has a very good approximation of the harmonic seventh (&lt;a class="wiki_link" href="/7_4"&gt;7/4&lt;/a&gt;).&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:1:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Structure"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:1 --&gt;&lt;strong&gt;Structure&lt;/strong&gt;&lt;/h1&gt;
@@ Line 176: / Line 174: @@
          &lt;td style="text-align: center;"&gt;Approximate&lt;br /&gt;
 Ratios*&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;Solfege&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 184: / Line 184: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;do&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 192: / Line 194: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;33/32, 49/48, 36/35, 25/24&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;di&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 200: / Line 204: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;21/20&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;ro&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 208: / Line 214: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;14/13, 16/15&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;ru&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 216: / Line 224: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;9/8, 10/9, 11/10&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;re&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 224: / Line 234: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;8/7&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;ri&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 232: / Line 244: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;7/6, 13/11, 33/28&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;ma&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 240: / Line 254: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;6/5&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;me&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 248: / Line 264: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;5/4, 16/13&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;mi&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 256: / Line 274: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;9/7, 14/11, 33/26&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;maa&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 264: / Line 284: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;21/16, 13/10&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;fe&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 272: / Line 294: @@
 &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;a class="wiki_link" href="/43_32"&gt;43/32&lt;/a&gt;, &lt;a class="wiki_link" href="/59_44"&gt;59/44&lt;/a&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;fa&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 280: / Line 304: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;11/8, 18/13&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;fu&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 288: / Line 314: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;7/5, 10/7&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;fi&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 296: / Line 324: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;16/11, 13/9&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;su&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 304: / Line 334: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;3/2&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;sol&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 312: / Line 344: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;32/21, 20/13&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;si&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 320: / Line 354: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;11/7, 14/9&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;leh&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 328: / Line 364: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;13/8, 8/5&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;le&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 336: / Line 374: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;5/3&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;la&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 344: / Line 384: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;12/7, 22/13&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;li&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 352: / Line 394: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;7/4&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;ta&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 360: / Line 404: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;9/5, 16/9, 20/11&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;te&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 368: / Line 414: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;13/7, 15/8&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;ti&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 376: / Line 424: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;40/21&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;to&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 384: / Line 434: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;64/33, 96/49, 35/18, 48/25&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;da&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 392: / Line 444: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;2/1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;do&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 1,033: / Line 1,087: @@
 Orgone has a minimax tuning which sharpens both 7 and 11 by 1/5 of an orgonisma, or 1.679 cents. This makes the generator g a 77/64 sharp by 2/5 of the orgonisma. From this we may conclude that 24/89 or 31/115 would be reasonable alternatives to the 7/26 generator.&lt;br /&gt;
 &lt;br /&gt;
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 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:11:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;!-- ws:end:WikiTextHeadingRule:11 --&gt; &lt;/h1&gt;
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 &lt;!-- ws:start:WikiTextHeadingRule:17:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc8"&gt;&lt;a name="Compositions"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:17 --&gt;Compositions&lt;/h1&gt;
   &lt;br /&gt;
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="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" rel="nofollow"&gt;A Time-Yellowed Photo of the Cliffs Hangs on the Wall &lt;/a&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/IgliashonJones"&gt;Igliashon Jones&lt;/a&gt;&lt;br /&gt;
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="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" rel="nofollow"&gt;A Time-Yellowed Photo of the Cliffs Hangs on the Wall &lt;/a&gt;&lt;/em&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/IgliashonJones"&gt;Igliashon Jones&lt;/a&gt;&lt;br /&gt;
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Igs/Two%20Pairs%20of%20Socks.mp3" rel="nofollow"&gt;Two Pairs of Socks&lt;/a&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/IgliashonJones"&gt;Igliashon Jones&lt;/a&gt;&lt;br /&gt;
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Igs/Two%20Pairs%20of%20Socks.mp3" rel="nofollow"&gt;Two Pairs of Socks&lt;/a&gt;&lt;/em&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/IgliashonJones"&gt;Igliashon Jones&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link_ext" href="http://www.io.com/%7Ehmiller/midi/26tet.mid" rel="nofollow"&gt;Etude in 26-tone equal temperament&lt;/a&gt; &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/26tet.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Herman%20Miller"&gt;Herman Miller&lt;/a&gt;&lt;br /&gt;
+&lt;a class="wiki_link_ext" href="http://www.io.com/%7Ehmiller/midi/26tet.mid" rel="nofollow"&gt;Etude in 26-tone equal temperament&lt;/a&gt; &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/26tet.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;/em&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Herman%20Miller"&gt;Herman Miller&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link_ext" href="http://archive.org/details/UnderTheHeatdome" rel="nofollow"&gt;under the heatDome&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://archive.org/download/UnderTheHeatdome/under_the_heatDome.mp3" rel="nofollow"&gt;play&lt;/a&gt; by &lt;a class="wiki_link" href="/Jon%20Lyle%20Smith"&gt;Jon Lyle Smith&lt;/a&gt;&lt;br /&gt;
+&lt;a class="wiki_link_ext" href="http://archive.org/details/UnderTheHeatdome" rel="nofollow"&gt;under the heatDome&lt;/a&gt; &lt;em&gt;&lt;a class="wiki_link_ext" href="http://archive.org/download/UnderTheHeatdome/under_the_heatDome.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;/em&gt; by &lt;a class="wiki_link" href="/Jon%20Lyle%20Smith"&gt;Jon Lyle Smith&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link_ext" href="http://www24.us.archive.org/details/AnotherAireForLute" rel="nofollow"&gt;Another Aire, for Lute&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://archive.org/download/AnotherAireForLute/AnotherAireForLute.mp3" rel="nofollow"&gt;play&lt;/a&gt; by &lt;a class="wiki_link" href="/Jon%20Lyle%20Smith"&gt;Jon Lyle Smith&lt;/a&gt;&lt;br /&gt;
+&lt;a class="wiki_link_ext" href="http://www24.us.archive.org/details/AnotherAireForLute" rel="nofollow"&gt;Another Aire, for Lute&lt;/a&gt; &lt;em&gt;&lt;a class="wiki_link_ext" href="http://archive.org/download/AnotherAireForLute/AnotherAireForLute.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;/em&gt; by &lt;a class="wiki_link" href="/Jon%20Lyle%20Smith"&gt;Jon Lyle Smith&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link_ext" href="http://danielthompson.blogspot.com/2007/04/new-version-of-organ-study-1.html" rel="nofollow"&gt;A New Recording of Organ Study #1&lt;/a&gt; &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://www.microtonalmusic.net/audio/organstudyremix26edo.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Daniel%20Thompson"&gt;Daniel Thompson&lt;/a&gt;&lt;br /&gt;
+&lt;a class="wiki_link_ext" href="http://danielthompson.blogspot.com/2007/04/new-version-of-organ-study-1.html" rel="nofollow"&gt;A New Recording of Organ Study #1&lt;/a&gt; &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://www.microtonalmusic.net/audio/organstudyremix26edo.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;/em&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Daniel%20Thompson"&gt;Daniel Thompson&lt;/a&gt;&lt;br /&gt;
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Bobro/LittleFugueIn26_CBobro.mp3" rel="nofollow"&gt;Little Fugue in 26&lt;/a&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Cameron%20Bobro"&gt;Cameron Bobro&lt;/a&gt;&lt;br /&gt;
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Bobro/LittleFugueIn26_CBobro.mp3" rel="nofollow"&gt;Little Fugue in 26&lt;/a&gt;&lt;/em&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Cameron%20Bobro"&gt;Cameron Bobro&lt;/a&gt;&lt;br /&gt;
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://soonlabel.com/xenharmonic/wp-content/uploads/2011/11/26-tone-fugue.mp3" rel="nofollow"&gt;26 tone fugue (unfinished)&lt;/a&gt;&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;br /&gt;
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://soonlabel.com/xenharmonic/wp-content/uploads/2011/11/26-tone-fugue.mp3" rel="nofollow"&gt;26 tone fugue (unfinished)&lt;/a&gt;&lt;/em&gt;&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;br /&gt;
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://www.96edo.com/music/micro900607.mp3" rel="nofollow"&gt;Microtonal music in 26-EDO&lt;/a&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Shaahin%20Mohajeri"&gt;Shaahin Mohajeri&lt;/a&gt;&lt;br /&gt;
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://www.96edo.com/music/micro900607.mp3" rel="nofollow"&gt;Microtonal music in 26-EDO&lt;/a&gt;&lt;/em&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Shaahin%20Mohajeri"&gt;Shaahin Mohajeri&lt;/a&gt;&lt;br /&gt;
 &lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/custom/11317210?h=0&amp;amp;w=0&amp;quot; class=&amp;quot;WikiMedia WikiMediaCustom&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;custom&amp;amp;quot; key=&amp;amp;quot;11317210&amp;amp;quot;&amp;quot; title=&amp;quot;Custom Media&amp;quot;/&amp;gt; --&gt;&lt;script type="text/javascript" src="http://mediaplayer.yahoo.com/js"&gt;
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+&lt;/script&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Curley/Zach%20Curley%20-%20Chiapas%20Palenque.mp3" rel="nofollow"&gt;Chiapas Palenque&lt;/a&gt;&lt;/em&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Zach%20Curley"&gt;Zach Curley&lt;/a&gt;&lt;br /&gt;
-&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Curley/Zach%20Curley%20-%20Injera%20Jam.mp3" rel="nofollow"&gt;Injera Jam&lt;/a&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Zach%20Curley"&gt;Zach Curley&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
+&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Curley/Zach%20Curley%20-%20Injera%20Jam.mp3" rel="nofollow"&gt;Injera Jam&lt;/a&gt;&lt;/em&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Zach%20Curley"&gt;Zach Curley&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>