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Wikispaces>guest **Imported revision 329417566 - Original comment: ** |
Wikispaces>guest **Imported revision 329423376 - 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:guest|guest]] and made on <tt>2012-05-03 11: | : This revision was by author [[User:guest|guest]] and made on <tt>2012-05-03 11:39:40 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>329423376</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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|| Degrees of 35-EDO || Cents value || Ratios in 2.3.5.7.11.17 subgroup || Ratios in 2.9.5.7.11.17 subgroup || | || Degrees of 35-EDO || Cents value || Ratios in 2.3.5.7.11.17 subgroup || Ratios in 2.9.5.7.11.17 subgroup || | ||
|| 0 || 0 || 1/1 || 1/1 || | || 0 || 0 || 1/1 || 1/1 || | ||
|| 1 || 34 | || 1 || 34.29 || || || | ||
|| 2 || 68 | || 2 || 68.57 || || || | ||
|| 3 || 102 | || 3 || 102.86 || 17/16 || 17/16, 18/17 || | ||
|| 4 || 137 | || 4 || 137.14 || 12/11 || || | ||
|| 5 || 171 | || 5 || 171.43 || 11/10 || 10/9, 11/10 || | ||
|| 6 || 205 | || 6 || 205.71 || || 9/8 || | ||
|| 7 || 240 || 8/7 || 8/7 || | || 7 || 240 || 8/7 || 8/7 || | ||
|| 8 || 274 | || 8 || 274.29 || 7/6, 20/17 || 20/17 || | ||
|| 9 || 308 | || 9 || 308.57 || 6/5 || || | ||
|| 10 || 342 | || 10 || 342.86 || 17/14 || 11/9, 17/14 || | ||
|| 11 || 377 | || 11 || 377.14 || 5/4 || 5/4 || | ||
|| 12 || 411 | || 12 || 411.43 || 14/11 || 14/11 || | ||
|| 13 || 445 | || 13 || 445.71 || 22/17 || 9/7, 22/17 || | ||
|| 14 || 480 || || || | || 14 || 480 || || || | ||
|| 15 || 514 | || 15 || 514.29 || 4/3 || || | ||
|| 16 || 548 | || 16 || 548.57 || 11/8 || 11/8 || | ||
|| 17 || 582,86 || 7/5, 24/17 || 7/8 || | || 17 || 582.,86 || 7/5, 24/17 || 7/8 || | ||
|| 18 || 617 | || 18 || 617.14 || 10/7, 17/12 || 10/7 || | ||
|| 19 || 651 | || 19 || 651.43 || 16/11 || 16/11 || | ||
|| 20 || 685 | || 20 || 685.71 || 3/2 || || | ||
|| 21 || 720 || || || | || 21 || 720 || || || | ||
|| 22 || 754 | || 22 || 754.29 || 17/11 || 14/9, 17/11 || | ||
|| 23 || 788 | || 23 || 788.57 || 11/7 || 11/7 || | ||
|| 24 || 822 | || 24 || 822.86 || 8/5 || 8/5 || | ||
|| 25 || 857 | || 25 || 857.15 || || 18/11 || | ||
|| 26 || 891 | || 26 || 891.43 || 5/3 || || | ||
|| 27 || 925 | || 27 || 925.71 || 12/7, 17/10 || 17/10 || | ||
|| 28 || 960 || 7/4 || 7/4 || | || 28 || 960 || 7/4 || 7/4 || | ||
|| 29 || 994 | || 29 || 994.29 || || 16/9 || | ||
|| 30 || 1028 | || 30 || 1028.57 || 20/11 || 20/11, 9/5 || | ||
|| 31 || 1062 | || 31 || 1062.86 || 11/6 || || | ||
|| 32 || 1097 | || 32 || 1097.14 || 32/17 || 32/17, 17/9 || | ||
|| 33 || 1131 | || 33 || 1131.43 || || || | ||
|| 34 || 1165 | || 34 || 1165.71 || || ||</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>35edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x35 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #ff4100;">35 tone equal temperament</span></h1> | <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>35edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x35 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #ff4100;">35 tone equal temperament</span></h1> | ||
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<td>1<br /> | <td>1<br /> | ||
</td> | </td> | ||
<td>34 | <td>34.29<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
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<td>2<br /> | <td>2<br /> | ||
</td> | </td> | ||
<td>68 | <td>68.57<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 107: | Line 107: | ||
<td>3<br /> | <td>3<br /> | ||
</td> | </td> | ||
<td>102 | <td>102.86<br /> | ||
</td> | </td> | ||
<td>17/16<br /> | <td>17/16<br /> | ||
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<td>4<br /> | <td>4<br /> | ||
</td> | </td> | ||
<td>137 | <td>137.14<br /> | ||
</td> | </td> | ||
<td>12/11<br /> | <td>12/11<br /> | ||
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<td>5<br /> | <td>5<br /> | ||
</td> | </td> | ||
<td>171 | <td>171.43<br /> | ||
</td> | </td> | ||
<td>11/10<br /> | <td>11/10<br /> | ||
Line 137: | Line 137: | ||
<td>6<br /> | <td>6<br /> | ||
</td> | </td> | ||
<td>205 | <td>205.71<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
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<td>8<br /> | <td>8<br /> | ||
</td> | </td> | ||
<td>274 | <td>274.29<br /> | ||
</td> | </td> | ||
<td>7/6, 20/17<br /> | <td>7/6, 20/17<br /> | ||
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<td>9<br /> | <td>9<br /> | ||
</td> | </td> | ||
<td>308 | <td>308.57<br /> | ||
</td> | </td> | ||
<td>6/5<br /> | <td>6/5<br /> | ||
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<td>10<br /> | <td>10<br /> | ||
</td> | </td> | ||
<td>342 | <td>342.86<br /> | ||
</td> | </td> | ||
<td>17/14<br /> | <td>17/14<br /> | ||
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<td>11<br /> | <td>11<br /> | ||
</td> | </td> | ||
<td>377 | <td>377.14<br /> | ||
</td> | </td> | ||
<td>5/4<br /> | <td>5/4<br /> | ||
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<td>12<br /> | <td>12<br /> | ||
</td> | </td> | ||
<td>411 | <td>411.43<br /> | ||
</td> | </td> | ||
<td>14/11<br /> | <td>14/11<br /> | ||
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<td>13<br /> | <td>13<br /> | ||
</td> | </td> | ||
<td>445 | <td>445.71<br /> | ||
</td> | </td> | ||
<td>22/17<br /> | <td>22/17<br /> | ||
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<td>15<br /> | <td>15<br /> | ||
</td> | </td> | ||
<td>514 | <td>514.29<br /> | ||
</td> | </td> | ||
<td>4/3<br /> | <td>4/3<br /> | ||
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<td>16<br /> | <td>16<br /> | ||
</td> | </td> | ||
<td>548 | <td>548.57<br /> | ||
</td> | </td> | ||
<td>11/8<br /> | <td>11/8<br /> | ||
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<td>17<br /> | <td>17<br /> | ||
</td> | </td> | ||
<td>582,86<br /> | <td>582.,86<br /> | ||
</td> | </td> | ||
<td>7/5, 24/17<br /> | <td>7/5, 24/17<br /> | ||
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<td>18<br /> | <td>18<br /> | ||
</td> | </td> | ||
<td>617 | <td>617.14<br /> | ||
</td> | </td> | ||
<td>10/7, 17/12<br /> | <td>10/7, 17/12<br /> | ||
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<td>19<br /> | <td>19<br /> | ||
</td> | </td> | ||
<td>651 | <td>651.43<br /> | ||
</td> | </td> | ||
<td>16/11<br /> | <td>16/11<br /> | ||
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<td>20<br /> | <td>20<br /> | ||
</td> | </td> | ||
<td>685 | <td>685.71<br /> | ||
</td> | </td> | ||
<td>3/2<br /> | <td>3/2<br /> | ||
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<td>22<br /> | <td>22<br /> | ||
</td> | </td> | ||
<td>754 | <td>754.29<br /> | ||
</td> | </td> | ||
<td>17/11<br /> | <td>17/11<br /> | ||
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<td>23<br /> | <td>23<br /> | ||
</td> | </td> | ||
<td>788 | <td>788.57<br /> | ||
</td> | </td> | ||
<td>11/7<br /> | <td>11/7<br /> | ||
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<td>24<br /> | <td>24<br /> | ||
</td> | </td> | ||
<td>822 | <td>822.86<br /> | ||
</td> | </td> | ||
<td>8/5<br /> | <td>8/5<br /> | ||
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<td>25<br /> | <td>25<br /> | ||
</td> | </td> | ||
<td>857 | <td>857.15<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
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<td>26<br /> | <td>26<br /> | ||
</td> | </td> | ||
<td>891 | <td>891.43<br /> | ||
</td> | </td> | ||
<td>5/3<br /> | <td>5/3<br /> | ||
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<td>27<br /> | <td>27<br /> | ||
</td> | </td> | ||
<td>925 | <td>925.71<br /> | ||
</td> | </td> | ||
<td>12/7, 17/10<br /> | <td>12/7, 17/10<br /> | ||
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<td>29<br /> | <td>29<br /> | ||
</td> | </td> | ||
<td>994 | <td>994.29<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
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<td>30<br /> | <td>30<br /> | ||
</td> | </td> | ||
<td>1028 | <td>1028.57<br /> | ||
</td> | </td> | ||
<td>20/11<br /> | <td>20/11<br /> | ||
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<td>31<br /> | <td>31<br /> | ||
</td> | </td> | ||
<td>1062 | <td>1062.86<br /> | ||
</td> | </td> | ||
<td>11/6<br /> | <td>11/6<br /> | ||
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<td>32<br /> | <td>32<br /> | ||
</td> | </td> | ||
<td>1097 | <td>1097.14<br /> | ||
</td> | </td> | ||
<td>32/17<br /> | <td>32/17<br /> | ||
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<td>33<br /> | <td>33<br /> | ||
</td> | </td> | ||
<td>1131 | <td>1131.43<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
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<td>34<br /> | <td>34<br /> | ||
</td> | </td> | ||
<td>1165 | <td>1165.71<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> |
Revision as of 11:39, 3 May 2012
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author guest and made on 2012-05-03 11:39:40 UTC.
- The original revision id was 329423376.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
=<span style="color: #ff4100;">35 tone equal temperament</span>= 35-tET or 35-[[xenharmonic/edo|EDO]], refers to a tuning system which divides the octave into 35 steps of approximately [[xenharmonic/cent|34.29¢]] each. As 35 is 5 times 7, 35edo allows for mixing the two smallest xenharmonic [[xenharmonic/macrotonal edos|macrotonal edos]]: [[xenharmonic/5edo|5edo]] and [[xenharmonic/7edo|7edo]]. A single degree of 35edo represents the difference between 7edo's narrow fifth of 685.71¢ and 5edo's wide fifth of 720¢. 35edo can also represent the 2.3.5.7.11.17 [[xenharmonic/Just intonation subgroups|subgroup]] and 2.9.5.7.11.17 subgroup, because of the accuracy of 9 and the flatness of all other subgroup generators. Therefore it is a very versatile whitewood tuning. A good beggining for start to play 35-EDO is with the Sub-diatonic scale, that is a [[xenharmonic/MOS|MOS]] of 3L2s: 9 4 9 9 4. ==Intervals== || Degrees of 35-EDO || Cents value || Ratios in 2.3.5.7.11.17 subgroup || Ratios in 2.9.5.7.11.17 subgroup || || 0 || 0 || 1/1 || 1/1 || || 1 || 34.29 || || || || 2 || 68.57 || || || || 3 || 102.86 || 17/16 || 17/16, 18/17 || || 4 || 137.14 || 12/11 || || || 5 || 171.43 || 11/10 || 10/9, 11/10 || || 6 || 205.71 || || 9/8 || || 7 || 240 || 8/7 || 8/7 || || 8 || 274.29 || 7/6, 20/17 || 20/17 || || 9 || 308.57 || 6/5 || || || 10 || 342.86 || 17/14 || 11/9, 17/14 || || 11 || 377.14 || 5/4 || 5/4 || || 12 || 411.43 || 14/11 || 14/11 || || 13 || 445.71 || 22/17 || 9/7, 22/17 || || 14 || 480 || || || || 15 || 514.29 || 4/3 || || || 16 || 548.57 || 11/8 || 11/8 || || 17 || 582.,86 || 7/5, 24/17 || 7/8 || || 18 || 617.14 || 10/7, 17/12 || 10/7 || || 19 || 651.43 || 16/11 || 16/11 || || 20 || 685.71 || 3/2 || || || 21 || 720 || || || || 22 || 754.29 || 17/11 || 14/9, 17/11 || || 23 || 788.57 || 11/7 || 11/7 || || 24 || 822.86 || 8/5 || 8/5 || || 25 || 857.15 || || 18/11 || || 26 || 891.43 || 5/3 || || || 27 || 925.71 || 12/7, 17/10 || 17/10 || || 28 || 960 || 7/4 || 7/4 || || 29 || 994.29 || || 16/9 || || 30 || 1028.57 || 20/11 || 20/11, 9/5 || || 31 || 1062.86 || 11/6 || || || 32 || 1097.14 || 32/17 || 32/17, 17/9 || || 33 || 1131.43 || || || || 34 || 1165.71 || || ||
Original HTML content:
<html><head><title>35edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="x35 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #ff4100;">35 tone equal temperament</span></h1> <br /> 35-tET or 35-<a class="wiki_link" href="http://xenharmonic.wikispaces.com/edo">EDO</a>, refers to a tuning system which divides the octave into 35 steps of approximately <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cent">34.29¢</a> each.<br /> <br /> As 35 is 5 times 7, 35edo allows for mixing the two smallest xenharmonic <a class="wiki_link" href="http://xenharmonic.wikispaces.com/macrotonal%20edos">macrotonal edos</a>: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/5edo">5edo</a> and <a class="wiki_link" href="http://xenharmonic.wikispaces.com/7edo">7edo</a>. A single degree of 35edo represents the difference between 7edo's narrow fifth of 685.71¢ and 5edo's wide fifth of 720¢. 35edo can also represent the 2.3.5.7.11.17 <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Just%20intonation%20subgroups">subgroup</a> and 2.9.5.7.11.17 subgroup, because of the accuracy of 9 and the flatness of all other subgroup generators. Therefore it is a very versatile whitewood tuning.<br /> <br /> A good beggining for start to play 35-EDO is with the Sub-diatonic scale, that is a <a class="wiki_link" href="http://xenharmonic.wikispaces.com/MOS">MOS</a> of 3L2s: 9 4 9 9 4.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="x35 tone equal temperament-Intervals"></a><!-- ws:end:WikiTextHeadingRule:2 -->Intervals</h2> <table class="wiki_table"> <tr> <td>Degrees of 35-EDO<br /> </td> <td>Cents value<br /> </td> <td>Ratios in 2.3.5.7.11.17 subgroup<br /> </td> <td>Ratios in 2.9.5.7.11.17 subgroup<br /> </td> </tr> <tr> <td>0<br /> </td> <td>0<br /> </td> <td>1/1<br /> </td> <td>1/1<br /> </td> </tr> <tr> <td>1<br /> </td> <td>34.29<br /> </td> <td><br /> </td> <td><br /> </td> </tr> <tr> <td>2<br /> </td> <td>68.57<br /> </td> <td><br /> </td> <td><br /> </td> </tr> <tr> <td>3<br /> </td> <td>102.86<br /> </td> <td>17/16<br /> </td> <td>17/16, 18/17<br /> </td> </tr> <tr> <td>4<br /> </td> <td>137.14<br /> </td> <td>12/11<br /> </td> <td><br /> </td> </tr> <tr> <td>5<br /> </td> <td>171.43<br /> </td> <td>11/10<br /> </td> <td>10/9, 11/10<br /> </td> </tr> <tr> <td>6<br /> </td> <td>205.71<br /> </td> <td><br /> </td> <td>9/8<br /> </td> </tr> <tr> <td>7<br /> </td> <td>240<br /> </td> <td>8/7<br /> </td> <td>8/7<br /> </td> </tr> <tr> <td>8<br /> </td> <td>274.29<br /> </td> <td>7/6, 20/17<br /> </td> <td>20/17<br /> </td> </tr> <tr> <td>9<br /> </td> <td>308.57<br /> </td> <td>6/5<br /> </td> <td><br /> </td> </tr> <tr> <td>10<br /> </td> <td>342.86<br /> </td> <td>17/14<br /> </td> <td>11/9, 17/14<br /> </td> </tr> <tr> <td>11<br /> </td> <td>377.14<br /> </td> <td>5/4<br /> </td> <td>5/4<br /> </td> </tr> <tr> <td>12<br /> </td> <td>411.43<br /> </td> <td>14/11<br /> </td> <td>14/11<br /> </td> </tr> <tr> <td>13<br /> </td> <td>445.71<br /> </td> <td>22/17<br /> </td> <td>9/7, 22/17<br /> </td> </tr> <tr> <td>14<br /> </td> <td>480<br /> </td> <td><br /> </td> <td><br /> </td> </tr> <tr> <td>15<br /> </td> <td>514.29<br /> </td> <td>4/3<br /> </td> <td><br /> </td> </tr> <tr> <td>16<br /> </td> <td>548.57<br /> </td> <td>11/8<br /> </td> <td>11/8<br /> </td> </tr> <tr> <td>17<br /> </td> <td>582.,86<br /> </td> <td>7/5, 24/17<br /> </td> <td>7/8<br /> </td> </tr> <tr> <td>18<br /> </td> <td>617.14<br /> </td> <td>10/7, 17/12<br /> </td> <td>10/7<br /> </td> </tr> <tr> <td>19<br /> </td> <td>651.43<br /> </td> <td>16/11<br /> </td> <td>16/11<br /> </td> </tr> <tr> <td>20<br /> </td> <td>685.71<br /> </td> <td>3/2<br /> </td> <td><br /> </td> </tr> <tr> <td>21<br /> </td> <td>720<br /> </td> <td><br /> </td> <td><br /> </td> </tr> <tr> <td>22<br /> </td> <td>754.29<br /> </td> <td>17/11<br /> </td> <td>14/9, 17/11<br /> </td> </tr> <tr> <td>23<br /> </td> <td>788.57<br /> </td> <td>11/7<br /> </td> <td>11/7<br /> </td> </tr> <tr> <td>24<br /> </td> <td>822.86<br /> </td> <td>8/5<br /> </td> <td>8/5<br /> </td> </tr> <tr> <td>25<br /> </td> <td>857.15<br /> </td> <td><br /> </td> <td>18/11<br /> </td> </tr> <tr> <td>26<br /> </td> <td>891.43<br /> </td> <td>5/3<br /> </td> <td><br /> </td> </tr> <tr> <td>27<br /> </td> <td>925.71<br /> </td> <td>12/7, 17/10<br /> </td> <td>17/10<br /> </td> </tr> <tr> <td>28<br /> </td> <td>960<br /> </td> <td>7/4<br /> </td> <td>7/4<br /> </td> </tr> <tr> <td>29<br /> </td> <td>994.29<br /> </td> <td><br /> </td> <td>16/9<br /> </td> </tr> <tr> <td>30<br /> </td> <td>1028.57<br /> </td> <td>20/11<br /> </td> <td>20/11, 9/5<br /> </td> </tr> <tr> <td>31<br /> </td> <td>1062.86<br /> </td> <td>11/6<br /> </td> <td><br /> </td> </tr> <tr> <td>32<br /> </td> <td>1097.14<br /> </td> <td>32/17<br /> </td> <td>32/17, 17/9<br /> </td> </tr> <tr> <td>33<br /> </td> <td>1131.43<br /> </td> <td><br /> </td> <td><br /> </td> </tr> <tr> <td>34<br /> </td> <td>1165.71<br /> </td> <td><br /> </td> <td><br /> </td> </tr> </table> </body></html>