27edo: Difference between revisions
Wikispaces>xenwolf **Imported revision 490166434 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 545598290 - 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 15:17:58 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>545598290</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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==Intervals== | ==Intervals== | ||
|| Degrees of 27-EDO || Cents value ||= Approximate | || Degrees of 27-EDO || Cents value | ||
DMS value ||= Approximate | |||
Ratios* ||= Solfege || | Ratios* ||= Solfege || | ||
|| 0 || 0 ||= 1/1 ||= do || | || 0 || 0 ||= 1/1 ||= do || | ||
|| 1 || 44.44 ||= 36/35, 49/48, 50/49 ||= di || | || 1 || 44.44 | ||
|| 2 || 88.89 ||= 16/15, 21/20, 25/24 ||= ra || | 13°20' ||= 36/35, 49/48, 50/49 ||= di || | ||
|| 3 || 133.33 ||= 14/13, 13/12 ||= ru || | || 2 || 88.89 | ||
|| 4 || 177.78 ||= 10/9 ||= reh || | 26°40' ||= 16/15, 21/20, 25/24 ||= ra || | ||
|| 5 || 222.22 ||= 8/7, 9/8 ||= re || | || 3 || 133.33 | ||
|| 6 || 266.67 ||= 7/6 ||= ma || | 40° ||= 14/13, 13/12 ||= ru || | ||
|| 7 || 311.11 ||= 6/5 ||= me || | || 4 || 177.78 | ||
|| 8 || 355.56 ||= 16/13 ||= mu || | 53°20' ||= 10/9 ||= reh || | ||
|| 9 || 400 ||= 5/4 ||= mi || | || 5 || 222.22 | ||
|| 10 || 444.44 ||= 9/7, 13/10 ||= mo || | 66°40' ||= 8/7, 9/8 ||= re || | ||
|| 11 || 488.89 ||= 4/3 ||= fa || | || 6 || 266.67 | ||
|| 12 || 533.33 ||= 49/36, 48/35 ||= fih || | 80° ||= 7/6 ||= ma || | ||
|| 13 || 577.78 ||= 7/5, 18/13 ||= fi || | || 7 || 311.11 | ||
|| 14 || 622.22 ||= 10/7, 13/9 ||= se || | 93°20' ||= 6/5 ||= me || | ||
|| 15 || 666.67 ||= 72/49, 35/24 ||= sih || | || 8 || 355.56 | ||
|| 16 || 711.11 ||= 3/2 ||= so/sol || | 106°40' ||= 16/13 ||= mu || | ||
|| 17 || 755.56 ||= 14/9, 20/13 ||= lo || | || 9 || 400 | ||
|| 18 || 800 ||= 8/5 ||= le || | 120° ||= 5/4 ||= mi || | ||
|| 19 || 844.44 ||= 13/8 ||= lu || | || 10 || 444.44 | ||
|| 20 || 888.89 ||= 5/3 ||= la || | 133°20' ||= 9/7, 13/10 ||= mo || | ||
|| 21 || 933.33 ||= 12/7 ||= li || | || 11 || 488.89 | ||
|| 22 || 977.78 ||= 7/4, 16/9 ||= ta || | 146°40' ||= 4/3 ||= fa || | ||
|| 23 || 1022.22 ||= 9/5 ||= te || | || 12 || 533.33 | ||
|| 24 || 1066,67 ||= 13/7, 24/13 ||= tu || | 160° ||= 49/36, 48/35 ||= fih || | ||
|| 25 || 1111.11 ||= 40/21 ||= ti || | || 13 || 577.78 | ||
|| 26 || 1155.56 ||= 35/18, 96/49, 49/25 ||= da || | 173°20' ||= 7/5, 18/13 ||= fi || | ||
|| 27 || 1200 ||= 2/1 ||= do || | || 14 || 622.22 | ||
186°40' ||= 10/7, 13/9 ||= se || | |||
|| 15 || 666.67 | |||
200° ||= 72/49, 35/24 ||= sih || | |||
|| 16 || 711.11 | |||
213°20' ||= 3/2 ||= so/sol || | |||
|| 17 || 755.56 | |||
226°40' ||= 14/9, 20/13 ||= lo || | |||
|| 18 || 800 | |||
240° ||= 8/5 ||= le || | |||
|| 19 || 844.44 | |||
253°20' ||= 13/8 ||= lu || | |||
|| 20 || 888.89 | |||
266°40' ||= 5/3 ||= la || | |||
|| 21 || 933.33 | |||
280° ||= 12/7 ||= li || | |||
|| 22 || 977.78 | |||
293°20' ||= 7/4, 16/9 ||= ta || | |||
|| 23 || 1022.22 | |||
306°40' ||= 9/5 ||= te || | |||
|| 24 || 1066,67 | |||
320° ||= 13/7, 24/13 ||= tu || | |||
|| 25 || 1111.11 | |||
333°20' ||= 40/21 ||= ti || | |||
|| 26 || 1155.56 | |||
346°40' ||= 35/18, 96/49, 49/25 ||= da || | |||
|| 27 || 1200 | |||
360° ||= 2/1 ||= do || | |||
*based on treating 27-EDO as a 2.3.5.7.13 subgroup temperament; other approaches are possible. | *based on treating 27-EDO as a 2.3.5.7.13 subgroup temperament; other approaches are possible. | ||
==Rank two temperaments== | ==Rank two temperaments== | ||
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=Music= | =Music= | ||
[[http://www.archive.org/details/MusicForYourEars|Music For Your Ears]] <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"> | [[http://www.archive.org/details/MusicForYourEars|Music For Your Ears]] <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://www.archive.org/download/MusicForYourEars/musicfor.mp3|play]]</span> by [[Gene Ward Smith]] The central portion is in 27edo, the rest in [[46edo]]. | ||
<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/Sad%20Like%20Winter%20Leaves.mp3|Sad Like Winter Leaves]]</span> by Igliashon Jones | ||
//[[file:Superpythagorean Waltz.mp3|Superpythagorean Waltz]]// by Igliashon Jones | //[[file:Superpythagorean Waltz.mp3|Superpythagorean Waltz]]// by 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/Taylor/12of27sonatina.mp3|Galticeran Sonatina]]</span> by [[http://soundcloud.com/joelgranttaylor/galticeran_sonatina|Joel Taylor]] | ||
<span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link"> | <span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link">[[http://www.youtube.com/watch?v=7QcwKlK6z4c|miniature prelude and fugue]]</span> by Kosmorsky[[media type="custom" key="10942764"]] | ||
<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/27edo/daily20111202-deep-chasm-zeta-cp-1.mp3|Chicago Pile-1]]</span> by [[Chris Vaisvil]] | ||
[[http://micro.soonlabel.com/gene_ward_smith/Others/Schallert/Tetracot%20Perc-Sitar.mp3|Tetracot Perc-Sitar]] by [[http://soundcloud.com/dustin-schallert/tetracot-perc-sitar|Dustin Schallert]] | |||
[[http://micro.soonlabel.com/gene_ward_smith/Others/Schallert/Tetracot%20Jam.mp3|Tetracot Jam]] by [[http://soundcloud.com/dustin-schallert/tetracot-jam|Dustin Schallert]] | |||
[[http://micro.soonlabel.com/gene_ward_smith/Others/Schallert/Tetracot%20Pump.mp3|Tetracot Pump]] by [[http://soundcloud.com/dustin-schallert/tetracot-pump|Dustin Schallert]] all in [[27edo]] | |||
[[https://soundcloud.com/dustin-schallert/27-edo-guitar-1|27-EDO Guitar 1 by Dustin Schallert]]</pre></div> | [[https://soundcloud.com/dustin-schallert/27-edo-guitar-1|27-EDO Guitar 1 by Dustin Schallert]]</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
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</td> | </td> | ||
<td>Cents value<br /> | <td>Cents value<br /> | ||
DMS value<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">Approximate<br /> | <td style="text-align: center;">Approximate<br /> | ||
Line 142: | Line 171: | ||
</td> | </td> | ||
<td>44.44<br /> | <td>44.44<br /> | ||
13°20'<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">36/35, 49/48, 50/49<br /> | <td style="text-align: center;">36/35, 49/48, 50/49<br /> | ||
Line 152: | Line 182: | ||
</td> | </td> | ||
<td>88.89<br /> | <td>88.89<br /> | ||
26°40'<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">16/15, 21/20, 25/24<br /> | <td style="text-align: center;">16/15, 21/20, 25/24<br /> | ||
Line 162: | Line 193: | ||
</td> | </td> | ||
<td>133.33<br /> | <td>133.33<br /> | ||
40°<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">14/13, 13/12<br /> | <td style="text-align: center;">14/13, 13/12<br /> | ||
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</td> | </td> | ||
<td>177.78<br /> | <td>177.78<br /> | ||
53°20'<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">10/9<br /> | <td style="text-align: center;">10/9<br /> | ||
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</td> | </td> | ||
<td>222.22<br /> | <td>222.22<br /> | ||
66°40'<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">8/7, 9/8<br /> | <td style="text-align: center;">8/7, 9/8<br /> | ||
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</td> | </td> | ||
<td>266.67<br /> | <td>266.67<br /> | ||
80°<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">7/6<br /> | <td style="text-align: center;">7/6<br /> | ||
Line 202: | Line 237: | ||
</td> | </td> | ||
<td>311.11<br /> | <td>311.11<br /> | ||
93°20'<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">6/5<br /> | <td style="text-align: center;">6/5<br /> | ||
Line 212: | Line 248: | ||
</td> | </td> | ||
<td>355.56<br /> | <td>355.56<br /> | ||
106°40'<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">16/13<br /> | <td style="text-align: center;">16/13<br /> | ||
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</td> | </td> | ||
<td>400<br /> | <td>400<br /> | ||
120°<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">5/4<br /> | <td style="text-align: center;">5/4<br /> | ||
Line 232: | Line 270: | ||
</td> | </td> | ||
<td>444.44<br /> | <td>444.44<br /> | ||
133°20'<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">9/7, 13/10<br /> | <td style="text-align: center;">9/7, 13/10<br /> | ||
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</td> | </td> | ||
<td>488.89<br /> | <td>488.89<br /> | ||
146°40'<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">4/3<br /> | <td style="text-align: center;">4/3<br /> | ||
Line 252: | Line 292: | ||
</td> | </td> | ||
<td>533.33<br /> | <td>533.33<br /> | ||
160°<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">49/36, 48/35<br /> | <td style="text-align: center;">49/36, 48/35<br /> | ||
Line 262: | Line 303: | ||
</td> | </td> | ||
<td>577.78<br /> | <td>577.78<br /> | ||
173°20'<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">7/5, 18/13<br /> | <td style="text-align: center;">7/5, 18/13<br /> | ||
Line 272: | Line 314: | ||
</td> | </td> | ||
<td>622.22<br /> | <td>622.22<br /> | ||
186°40'<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">10/7, 13/9<br /> | <td style="text-align: center;">10/7, 13/9<br /> | ||
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</td> | </td> | ||
<td>666.67<br /> | <td>666.67<br /> | ||
200°<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">72/49, 35/24<br /> | <td style="text-align: center;">72/49, 35/24<br /> | ||
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</td> | </td> | ||
<td>711.11<br /> | <td>711.11<br /> | ||
213°20'<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">3/2<br /> | <td style="text-align: center;">3/2<br /> | ||
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</td> | </td> | ||
<td>755.56<br /> | <td>755.56<br /> | ||
226°40'<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">14/9, 20/13<br /> | <td style="text-align: center;">14/9, 20/13<br /> | ||
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</td> | </td> | ||
<td>800<br /> | <td>800<br /> | ||
240°<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">8/5<br /> | <td style="text-align: center;">8/5<br /> | ||
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</td> | </td> | ||
<td>844.44<br /> | <td>844.44<br /> | ||
253°20'<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">13/8<br /> | <td style="text-align: center;">13/8<br /> | ||
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</td> | </td> | ||
<td>888.89<br /> | <td>888.89<br /> | ||
266°40'<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">5/3<br /> | <td style="text-align: center;">5/3<br /> | ||
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</td> | </td> | ||
<td>933.33<br /> | <td>933.33<br /> | ||
280°<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">12/7<br /> | <td style="text-align: center;">12/7<br /> | ||
Line 352: | Line 402: | ||
</td> | </td> | ||
<td>977.78<br /> | <td>977.78<br /> | ||
293°20'<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">7/4, 16/9<br /> | <td style="text-align: center;">7/4, 16/9<br /> | ||
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</td> | </td> | ||
<td>1022.22<br /> | <td>1022.22<br /> | ||
306°40'<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">9/5<br /> | <td style="text-align: center;">9/5<br /> | ||
Line 372: | Line 424: | ||
</td> | </td> | ||
<td>1066,67<br /> | <td>1066,67<br /> | ||
320°<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">13/7, 24/13<br /> | <td style="text-align: center;">13/7, 24/13<br /> | ||
Line 382: | Line 435: | ||
</td> | </td> | ||
<td>1111.11<br /> | <td>1111.11<br /> | ||
333°20'<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">40/21<br /> | <td style="text-align: center;">40/21<br /> | ||
Line 392: | Line 446: | ||
</td> | </td> | ||
<td>1155.56<br /> | <td>1155.56<br /> | ||
346°40'<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">35/18, 96/49, 49/25<br /> | <td style="text-align: center;">35/18, 96/49, 49/25<br /> | ||
Line 402: | Line 457: | ||
</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 /> |