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: | : 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> | : 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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=<span style="font-size: 1.4em;">Intervals</span>= | =<span style="font-size: 1.4em;">Intervals</span>= | ||
|| 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°<span style="background-color: #ffffff;">50'46"</span> ||= 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 || | <span style="background-color: #ffffff;">27º41'32"</span> ||= 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°<span style="background-color: #ffffff;">32'18"</span> ||= 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 || | <span style="background-color: #ffffff;">55°23'5"</span> ||= 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°<span style="background-color: #ffffff;">13'51"</span> ||= 8/7 || ri || | ||
|| 11 || 507.69 ||= [[4_3|4/3]] || fa || | || 6 || 276.92 | ||
|| 12 || 553.85 ||= 11/8, 18/13 || fu || | <span style="background-color: #ffffff;">83°4'37"</span> ||= 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°<span style="background-color: #ffffff;">55'23"</span> ||= 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 || | <span style="background-color: #ffffff;">110°46'9"</span> ||= 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°<span style="background-color: #ffffff; line-height: 1.5;">37'</span><span style="background-color: #ffffff; line-height: 15.6000003814697px;">55</span><span style="background-color: #ffffff; line-height: 1.5;">"</span> ||= 9/7, 14/11, 33/26 || maa || | ||
|| 19 || 876.92 ||= 5/3 || la || | || 10 || 461.54 | ||
|| 20 || 923.08 ||= 12/7, 22/13 || li || | <span style="background-color: #ffffff;">138°27'42"</span> ||= 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°<span style="background-color: #ffffff;">18'28"</span> ||= [[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 || | <span style="background-color: #ffffff;">166°9'14"</span> ||= 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 | |||
<span style="background-color: #ffffff;">193°50'46"</span> ||= 16/11, 13/9 || su || | |||
|| 15 || 692.31 | |||
207°<span style="background-color: #ffffff;">41'32"</span> ||= [[3_2|3/2]] || sol || | |||
|| 16 || 738.46 | |||
<span style="background-color: #ffffff;">221°32'18"</span> ||= [[32_21|32/21]], [[20_13|20/13]] || si || | |||
|| 17 || 784.62 | |||
235°<span style="background-color: #ffffff;">23'5"</span> ||= 11/7, 14/9 || leh || | |||
|| 18 || 830.77 | |||
<span style="background-color: #ffffff;">249°13'51"</span> ||= 13/8, 8/5 || le/lu || | |||
|| 19 || 876.92 | |||
263°<span style="background-color: #ffffff;">4'37"</span> ||= 5/3 || la || | |||
|| 20 || 923.08 | |||
<span style="background-color: #ffffff;">276°55'23"</span> ||= 12/7, 22/13 || li || | |||
|| 21 || 969.23 | |||
290°<span style="background-color: #ffffff;">46'9"</span> ||= 7/4 || ta || | |||
|| 22 || 1015.4 | |||
<span style="background-color: #ffffff;">304°37'55"</span> ||= 9/5, 16/9, 20/11 || te || | |||
|| 23 || 1061.5 | |||
318°<span style="background-color: #ffffff;">46'9"</span> ||= 11/6, 13/7, 15/8, 24/13 || tu/ti || | |||
|| 24 || 1107.7 | |||
<span style="background-color: #ffffff;">332°18'28"</span> ||= 21/11, 25/13, 40/21 || to || | |||
|| 25 || 1153.8 | |||
346°<span style="background-color: #ffffff;">9'14"</span> ||= 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 || | ||
| Line 95: | Line 122: | ||
|| 13 || 1\26 || Triskaidekic || | || 13 || 1\26 || Triskaidekic || | ||
==Hendec in 26et== | ==Hendec in 26et== | ||
[[Gamelismic clan#Unidec-Hendec|Hendec]], the 13-limit 26&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&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= | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[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 ]]</span> by [[IgliashonJones|Igliashon Jones]] | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/gene_ward_smith/Others/Igs/Two%20Pairs%20of%20Socks.mp3|Two Pairs of Socks]]</span> by [[IgliashonJones|Igliashon Jones]] | ||
[[http://www.io.com/%7Ehmiller/midi/26tet.mid|Etude in 26-tone equal temperament]] <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"> | [[http://www.io.com/%7Ehmiller/midi/26tet.mid|Etude in 26-tone equal temperament]] <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/26tet.mp3|play]]</span> by [[Herman Miller]] | ||
[[http://archive.org/details/UnderTheHeatdome|under the heatDome]] | [[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]] <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"> | [[http://danielthompson.blogspot.com/2007/04/new-version-of-organ-study-1.html|A New Recording of Organ Study #1]] <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://www.microtonalmusic.net/audio/organstudyremix26edo.mp3|play]]</span> by [[Daniel Thompson]] | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Bobro/LittleFugueIn26_CBobro.mp3|Little Fugue in 26]]</span> by [[Cameron Bobro]] | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://soonlabel.com/xenharmonic/wp-content/uploads/2011/11/26-tone-fugue.mp3|26 tone fugue (unfinished)]]</span> by Peter Kosmorsky (based on the melody he was singing in the shower, in orgone, to the presumed confusion of those in earshot) | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://www.96edo.com/music/micro900607.mp3|Microtonal music in 26-EDO]]</span> by [[Shaahin Mohajeri]] | ||
[[media type="custom" key="11317210"]]<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"> | [[media type="custom" key="11317210"]]<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/gene_ward_smith/Others/Curley/Zach%20Curley%20-%20Chiapas%20Palenque.mp3|Chiapas Palenque]]</span> by [[Zach Curley]] | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/gene_ward_smith/Others/Curley/Zach%20Curley%20-%20Injera%20Jam.mp3|Injera Jam]]</span> 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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</td> | </td> | ||
<td><a class="wiki_link" href="/cent">cent</a>s<br /> | <td><a class="wiki_link" href="/cent">cent</a>s<br /> | ||
DMS<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">Approximate<br /> | <td style="text-align: center;">Approximate<br /> | ||
| Line 232: | Line 260: | ||
</td> | </td> | ||
<td>46.154<br /> | <td>46.154<br /> | ||
13°<span style="background-color: #ffffff;">50'46&quot;</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;">33/32, 49/48, 36/35, 25/24<br /> | <td style="text-align: center;">33/32, 49/48, 36/35, 25/24<br /> | ||
| Line 242: | Line 271: | ||
</td> | </td> | ||
<td>92.308<br /> | <td>92.308<br /> | ||
<span style="background-color: #ffffff;">27º41'32&quot;</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;">21/20, 22/21, 26/25<br /> | <td style="text-align: center;">21/20, 22/21, 26/25<br /> | ||
| Line 252: | Line 282: | ||
</td> | </td> | ||
<td>138.46<br /> | <td>138.46<br /> | ||
41°<span style="background-color: #ffffff;">32'18&quot;</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;">12/11, 13/12, 14/13, 16/15<br /> | <td style="text-align: center;">12/11, 13/12, 14/13, 16/15<br /> | ||
| Line 262: | Line 293: | ||
</td> | </td> | ||
<td>184.62<br /> | <td>184.62<br /> | ||
<span style="background-color: #ffffff;">55°23'5&quot;</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;">9/8, 10/9, 11/10<br /> | <td style="text-align: center;">9/8, 10/9, 11/10<br /> | ||
| Line 272: | Line 304: | ||
</td> | </td> | ||
<td>230.77<br /> | <td>230.77<br /> | ||
69°<span style="background-color: #ffffff;">13'51&quot;</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;">8/7<br /> | <td style="text-align: center;">8/7<br /> | ||
| Line 282: | Line 315: | ||
</td> | </td> | ||
<td>276.92<br /> | <td>276.92<br /> | ||
<span style="background-color: #ffffff;">83°4'37&quot;</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;">7/6, 13/11, 33/28<br /> | <td style="text-align: center;">7/6, 13/11, 33/28<br /> | ||
| Line 292: | Line 326: | ||
</td> | </td> | ||
<td>323.08<br /> | <td>323.08<br /> | ||
96°<span style="background-color: #ffffff;">55'23&quot;</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;">6/5<br /> | <td style="text-align: center;">6/5<br /> | ||
| Line 302: | Line 337: | ||
</td> | </td> | ||
<td>369.23<br /> | <td>369.23<br /> | ||
<span style="background-color: #ffffff;">110°46'9&quot;</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;">5/4, 11/9, 16/13<br /> | <td style="text-align: center;">5/4, 11/9, 16/13<br /> | ||
| Line 312: | Line 348: | ||
</td> | </td> | ||
<td>415.38<br /> | <td>415.38<br /> | ||
124°<span style="background-color: #ffffff; line-height: 1.5;">37'</span><span style="background-color: #ffffff; line-height: 15.6000003814697px;">55</span><span style="background-color: #ffffff; line-height: 1.5;">&quot;</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;">9/7, 14/11, 33/26<br /> | <td style="text-align: center;">9/7, 14/11, 33/26<br /> | ||
| Line 322: | Line 359: | ||
</td> | </td> | ||
<td>461.54<br /> | <td>461.54<br /> | ||
<span style="background-color: #ffffff;">138°27'42&quot;</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;">21/16, 13/10<br /> | <td style="text-align: center;">21/16, 13/10<br /> | ||
| Line 332: | Line 370: | ||
</td> | </td> | ||
<td>507.69<br /> | <td>507.69<br /> | ||
152°<span style="background-color: #ffffff;">18'28&quot;</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;"><a class="wiki_link" href="/4_3">4/3</a><br /> | <td style="text-align: center;"><a class="wiki_link" href="/4_3">4/3</a><br /> | ||
| Line 342: | Line 381: | ||
</td> | </td> | ||
<td>553.85<br /> | <td>553.85<br /> | ||
<span style="background-color: #ffffff;">166°9'14&quot;</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;">11/8, 18/13<br /> | <td style="text-align: center;">11/8, 18/13<br /> | ||
| Line 352: | Line 392: | ||
</td> | </td> | ||
<td>600.00<br /> | <td>600.00<br /> | ||
180°<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">7/5, 10/7<br /> | <td style="text-align: center;">7/5, 10/7<br /> | ||
| Line 362: | Line 403: | ||
</td> | </td> | ||
<td>646.15<br /> | <td>646.15<br /> | ||
<span style="background-color: #ffffff;">193°50'46&quot;</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;">16/11, 13/9<br /> | <td style="text-align: center;">16/11, 13/9<br /> | ||
| Line 372: | Line 414: | ||
</td> | </td> | ||
<td>692.31<br /> | <td>692.31<br /> | ||
207°<span style="background-color: #ffffff;">41'32&quot;</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;"><a class="wiki_link" href="/3_2">3/2</a><br /> | <td style="text-align: center;"><a class="wiki_link" href="/3_2">3/2</a><br /> | ||
| Line 382: | Line 425: | ||
</td> | </td> | ||
<td>738.46<br /> | <td>738.46<br /> | ||
<span style="background-color: #ffffff;">221°32'18&quot;</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;"><a class="wiki_link" href="/32_21">32/21</a>, <a class="wiki_link" href="/20_13">20/13</a><br /> | <td style="text-align: center;"><a class="wiki_link" href="/32_21">32/21</a>, <a class="wiki_link" href="/20_13">20/13</a><br /> | ||
| Line 392: | Line 436: | ||
</td> | </td> | ||
<td>784.62<br /> | <td>784.62<br /> | ||
235°<span style="background-color: #ffffff;">23'5&quot;</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;">11/7, 14/9<br /> | <td style="text-align: center;">11/7, 14/9<br /> | ||
| Line 402: | Line 447: | ||
</td> | </td> | ||
<td>830.77<br /> | <td>830.77<br /> | ||
<span style="background-color: #ffffff;">249°13'51&quot;</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;">13/8, 8/5<br /> | <td style="text-align: center;">13/8, 8/5<br /> | ||
| Line 412: | Line 458: | ||
</td> | </td> | ||
<td>876.92<br /> | <td>876.92<br /> | ||
263°<span style="background-color: #ffffff;">4'37&quot;</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;">5/3<br /> | <td style="text-align: center;">5/3<br /> | ||
| Line 422: | Line 469: | ||
</td> | </td> | ||
<td>923.08<br /> | <td>923.08<br /> | ||
<span style="background-color: #ffffff;">276°55'23&quot;</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;">12/7, 22/13<br /> | <td style="text-align: center;">12/7, 22/13<br /> | ||
| Line 432: | Line 480: | ||
</td> | </td> | ||
<td>969.23<br /> | <td>969.23<br /> | ||
290°<span style="background-color: #ffffff;">46'9&quot;</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;">7/4<br /> | <td style="text-align: center;">7/4<br /> | ||
| Line 442: | Line 491: | ||
</td> | </td> | ||
<td>1015.4<br /> | <td>1015.4<br /> | ||
<span style="background-color: #ffffff;">304°37'55&quot;</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;">9/5, 16/9, 20/11<br /> | <td style="text-align: center;">9/5, 16/9, 20/11<br /> | ||
| Line 452: | Line 502: | ||
</td> | </td> | ||
<td>1061.5<br /> | <td>1061.5<br /> | ||
318°<span style="background-color: #ffffff;">46'9&quot;</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;">11/6, 13/7, 15/8, 24/13<br /> | <td style="text-align: center;">11/6, 13/7, 15/8, 24/13<br /> | ||
| Line 462: | Line 513: | ||
</td> | </td> | ||
<td>1107.7<br /> | <td>1107.7<br /> | ||
<span style="background-color: #ffffff;">332°18'28&quot;</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;">21/11, 25/13, 40/21<br /> | <td style="text-align: center;">21/11, 25/13, 40/21<br /> | ||
| Line 472: | Line 524: | ||
</td> | </td> | ||
<td>1153.8<br /> | <td>1153.8<br /> | ||
346°<span style="background-color: #ffffff;">9'14&quot;</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;">64/33, 96/49, 35/18, 48/25<br /> | <td style="text-align: center;">64/33, 96/49, 35/18, 48/25<br /> | ||
| Line 482: | Line 535: | ||
</td> | </td> | ||
<td>1200<br /> | <td>1200<br /> | ||
360°<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">2/1<br /> | <td style="text-align: center;">2/1<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:5:&lt;h2&gt; --><h2 id="toc2"><a name="Intervals-Intervals by patent val error"></a><!-- ws:end:WikiTextHeadingRule:5 -->Intervals by patent val error</h2> | <!-- ws:start:WikiTextHeadingRule:5:&lt;h2&gt; --><h2 id="toc2"><a name="Intervals-Intervals by patent val error"></a><!-- ws:end:WikiTextHeadingRule:5 -->Intervals by patent val error</h2> | ||
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<!-- ws:start:WikiTextHeadingRule:9:&lt;h2&gt; --><h2 id="toc4"><a name="Rank two temperaments-Hendec in 26et"></a><!-- ws:end:WikiTextHeadingRule:9 -->Hendec in 26et</h2> | <!-- ws:start:WikiTextHeadingRule:9:&lt;h2&gt; --><h2 id="toc4"><a name="Rank two temperaments-Hendec in 26et"></a><!-- ws:end:WikiTextHeadingRule:9 -->Hendec in 26et</h2> | ||
<a class="wiki_link" href="/Gamelismic%20clan#Unidec-Hendec">Hendec</a>, 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.<br /> | <a class="wiki_link" href="/Gamelismic%20clan#Unidec-Hendec">Hendec</a>, 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.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:11:&lt;h1&gt; --><h1 id="toc5"><a name="Commas"></a><!-- ws:end:WikiTextHeadingRule:11 -->Commas</h1> | <!-- ws:start:WikiTextHeadingRule:11:&lt;h1&gt; --><h1 id="toc5"><a name="Commas"></a><!-- ws:end:WikiTextHeadingRule:11 -->Commas</h1> | ||