35edo
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- This revision was by author phylingual and made on 2012-05-02 22:42:22 UTC.
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=<span style="color: #ff4100;">35 tone equal temperament</span>= 35-tET or 35-[[edo|EDO]], refers to a tuning system which divides the octave into 35 steps of approximately [[cent|34.29¢]] each. As 35 is 5 times 7, 35edo allows for mixing the two smallest xenharmonic [[macrotonal edos]]: [[5edo]] and [[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 is a consistent 2.3.5.7.11.17 [[Just intonation subgroups|subgroup]] and 2.9.5.7.11.17 subgroup temperament, because of the accuracy of 9 and the flatness of all other subgroup generators. A good beggining for start to play 35-EDO is with the Sub-diatonic scale (Pentadiatonic scale), that is a [[MOS]] of 3L2s: L s L L s; in 35-EDO is: 9 4 9 9 4 ==Intervals== || Degrees of 35-EDO || Cents value || || 0 || 0 || || 1 || 34,29 || || 2 || 68,57 || || 3 || 102,86 || || 4 || 137,14 || || 5 || 171,43 || || 6 || 205,71 || || 7 || 240 || || 8 || 274,29 || || 9 || 308,57 || || 10 || 342,86 || || 11 || 377,14 || || 12 || 411,43 || || 13 || 445,71 || || 14 || 480 || || 15 || 514,29 || || 16 || 548,57 || || 17 || 582,86 || || 18 || 617,14 || || 19 || 651,43 || || 20 || 685,71 || || 21 || 720 || || 22 || 754,29 || || 23 || 788,57 || || 24 || 822,86 || || 25 || 857,15 || || 26 || 891,43 || || 27 || 925,71 || || 28 || 960 || || 29 || 994,29 || || 30 || 1028,57 || || 31 || 1062,86 || || 32 || 1097,14 || || 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="/edo">EDO</a>, refers to a tuning system which divides the octave into 35 steps of approximately <a class="wiki_link" href="/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="/macrotonal%20edos">macrotonal edos</a>: <a class="wiki_link" href="/5edo">5edo</a> and <a class="wiki_link" href="/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¢.<br /> <br /> 35edo is a consistent 2.3.5.7.11.17 <a class="wiki_link" href="/Just%20intonation%20subgroups">subgroup</a> and 2.9.5.7.11.17 subgroup temperament, because of the accuracy of 9 and the flatness of all other subgroup generators.<br /> <br /> A good beggining for start to play 35-EDO is with the Sub-diatonic scale (Pentadiatonic scale), that is a <a class="wiki_link" href="/MOS">MOS</a> of 3L2s: L s L L s; in 35-EDO is: 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> </tr> <tr> <td>0<br /> </td> <td>0<br /> </td> </tr> <tr> <td>1<br /> </td> <td>34,29<br /> </td> </tr> <tr> <td>2<br /> </td> <td>68,57<br /> </td> </tr> <tr> <td>3<br /> </td> <td>102,86<br /> </td> </tr> <tr> <td>4<br /> </td> <td>137,14<br /> </td> </tr> <tr> <td>5<br /> </td> <td>171,43<br /> </td> </tr> <tr> <td>6<br /> </td> <td>205,71<br /> </td> </tr> <tr> <td>7<br /> </td> <td>240<br /> </td> </tr> <tr> <td>8<br /> </td> <td>274,29<br /> </td> </tr> <tr> <td>9<br /> </td> <td>308,57<br /> </td> </tr> <tr> <td>10<br /> </td> <td>342,86<br /> </td> </tr> <tr> <td>11<br /> </td> <td>377,14<br /> </td> </tr> <tr> <td>12<br /> </td> <td>411,43<br /> </td> </tr> <tr> <td>13<br /> </td> <td>445,71<br /> </td> </tr> <tr> <td>14<br /> </td> <td>480<br /> </td> </tr> <tr> <td>15<br /> </td> <td>514,29<br /> </td> </tr> <tr> <td>16<br /> </td> <td>548,57<br /> </td> </tr> <tr> <td>17<br /> </td> <td>582,86<br /> </td> </tr> <tr> <td>18<br /> </td> <td>617,14<br /> </td> </tr> <tr> <td>19<br /> </td> <td>651,43<br /> </td> </tr> <tr> <td>20<br /> </td> <td>685,71<br /> </td> </tr> <tr> <td>21<br /> </td> <td>720<br /> </td> </tr> <tr> <td>22<br /> </td> <td>754,29<br /> </td> </tr> <tr> <td>23<br /> </td> <td>788,57<br /> </td> </tr> <tr> <td>24<br /> </td> <td>822,86<br /> </td> </tr> <tr> <td>25<br /> </td> <td>857,15<br /> </td> </tr> <tr> <td>26<br /> </td> <td>891,43<br /> </td> </tr> <tr> <td>27<br /> </td> <td>925,71<br /> </td> </tr> <tr> <td>28<br /> </td> <td>960<br /> </td> </tr> <tr> <td>29<br /> </td> <td>994,29<br /> </td> </tr> <tr> <td>30<br /> </td> <td>1028,57<br /> </td> </tr> <tr> <td>31<br /> </td> <td>1062,86<br /> </td> </tr> <tr> <td>32<br /> </td> <td>1097,14<br /> </td> </tr> <tr> <td>33<br /> </td> <td>1131,43<br /> </td> </tr> <tr> <td>34<br /> </td> <td>1165,71<br /> </td> </tr> </table> </body></html>