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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | The 63 equal division divides the octave into 63 equal parts of 19.048 cents each. It tempers out 3125/3072 in the 5-limit and 875/864, 225/224 and 245/243 in the 7-limit, so that it supports magic temperament. In the 11-limit it tempers out 100/99, supporting 11-limit magic, plus 896/891, 385/384 and 640/539. In the 13-limit it tempers put 275/273, 169/168, 640/637, 352/351, 364/363 and 676/675. It provides the optimal patent val for the 29&63 temperament in the 7-, 11- and 13-limit. It is divisible by 3, 7, 9 and 21. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:iamcamtaylor|iamcamtaylor]] and made on <tt>2017-03-14 21:33:24 UTC</tt>.<br>
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| : The original revision id was <tt>608844751</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| 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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| <h4>Original Wikitext content:</h4>
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| <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">The 63 equal division divides the octave into 63 equal parts of 19.048 cents each. It tempers out 3125/3072 in the 5-limit and 875/864, 225/224 and 245/243 in the 7-limit, so that it supports magic temperament. In the 11-limit it tempers out 100/99, supporting 11-limit magic, plus 896/891, 385/384 and 640/539. In the 13-limit it tempers put 275/273, 169/168, 640/637, 352/351, 364/363 and 676/675. It provides the optimal patent val for the 29&63 temperament in the 7-, 11- and 13-limit. It is divisible by 3, 7, 9 and 21.
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| 63 is also a fascinating division to look at in the 23-limit, as its regular augmented fourth (+6 fifths) is less than 0.3c sharp of 23/16, therefore tempering out 729/726. Although it doesn't deal as well with primes 5, 17, and 19, it excels in the 2.3.7.11.13.23 group, and is a great candidate for a rank-1 or rank-2 gentle tuning. As a fifths-system, the diesis after 12 fifths can represent 32:33, 27:28, 88:91, and more, making chains of fifths 12 or longer very useful in covering harmonic and melodic ground while providing a lot of different colour in different keys. A 17-tone fifths chain looks on the surface a little similar to [[xenharmonic/17edo|17edo]], but as -17 fifths gets us to 64/63, observing the comma becomes an essential part in progressions favouring prime 7. | | 63 is also a fascinating division to look at in the 23-limit, as its regular augmented fourth (+6 fifths) is less than 0.3c sharp of 23/16, therefore tempering out 729/726. Although it doesn't deal as well with primes 5, 17, and 19, it excels in the 2.3.7.11.13.23 group, and is a great candidate for a rank-1 or rank-2 gentle tuning. As a fifths-system, the diesis after 12 fifths can represent 32:33, 27:28, 88:91, and more, making chains of fifths 12 or longer very useful in covering harmonic and melodic ground while providing a lot of different colour in different keys. A 17-tone fifths chain looks on the surface a little similar to [[17edo|17edo]], but as -17 fifths gets us to 64/63, observing the comma becomes an essential part in progressions favouring prime 7. |
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| | =Music:= |
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| =Music:=
| | [https://soundcloud.com/camtaylor-1/63edobosanquetaxis-8thjuly2016-237111323-seconds-and-otonal-shifts Seconds and Otonal Shifts] by Cam Taylor |
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| [[https://soundcloud.com/camtaylor-1/63edobosanquetaxis-8thjuly2016-237111323-seconds-and-otonal-shifts|Seconds and Otonal Shifts]] by Cam Taylor
| | [https://soundcloud.com/cam-taylor-2-1/17-out-of-63edo-wurly-those-early-dreams those early dreams] by Cam Taylor |
| [[https://soundcloud.com/cam-taylor-2-1/17-out-of-63edo-wurly-those-early-dreams|those early dreams]] by Cam Taylor
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| [[https://archive.org/details/17_63EDOEarlyDreamsTwo|Early Dreams 2]] by Cam Taylor
| | [https://archive.org/details/17_63EDOEarlyDreamsTwo Early Dreams 2] by Cam Taylor |
| [[https://soundcloud.com/cam-taylor-2-1/12tone63edo1|Improvisation in 12-tone fifths chain in 63EDO]] by Cam Taylor</pre></div>
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| <h4>Original HTML content:</h4>
| | [https://soundcloud.com/cam-taylor-2-1/12tone63edo1 Improvisation in 12-tone fifths chain in 63EDO] by Cam Taylor |
| <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>63edo</title></head><body>The 63 equal division divides the octave into 63 equal parts of 19.048 cents each. It tempers out 3125/3072 in the 5-limit and 875/864, 225/224 and 245/243 in the 7-limit, so that it supports magic temperament. In the 11-limit it tempers out 100/99, supporting 11-limit magic, plus 896/891, 385/384 and 640/539. In the 13-limit it tempers put 275/273, 169/168, 640/637, 352/351, 364/363 and 676/675. It provides the optimal patent val for the 29&amp;63 temperament in the 7-, 11- and 13-limit. It is divisible by 3, 7, 9 and 21.<br />
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| 63 is also a fascinating division to look at in the 23-limit, as its regular augmented fourth (+6 fifths) is less than 0.3c sharp of 23/16, therefore tempering out 729/726. Although it doesn't deal as well with primes 5, 17, and 19, it excels in the 2.3.7.11.13.23 group, and is a great candidate for a rank-1 or rank-2 gentle tuning. As a fifths-system, the diesis after 12 fifths can represent 32:33, 27:28, 88:91, and more, making chains of fifths 12 or longer very useful in covering harmonic and melodic ground while providing a lot of different colour in different keys. A 17-tone fifths chain looks on the surface a little similar to <a class="wiki_link" href="http://xenharmonic.wikispaces.com/17edo">17edo</a>, but as -17 fifths gets us to 64/63, observing the comma becomes an essential part in progressions favouring prime 7.<br />
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| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Music:"></a><!-- ws:end:WikiTextHeadingRule:0 -->Music:</h1>
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| <a class="wiki_link_ext" href="https://soundcloud.com/camtaylor-1/63edobosanquetaxis-8thjuly2016-237111323-seconds-and-otonal-shifts" rel="nofollow">Seconds and Otonal Shifts</a> by Cam Taylor<br />
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| <a class="wiki_link_ext" href="https://soundcloud.com/cam-taylor-2-1/17-out-of-63edo-wurly-those-early-dreams" rel="nofollow">those early dreams</a> by Cam Taylor<br />
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| <a class="wiki_link_ext" href="https://archive.org/details/17_63EDOEarlyDreamsTwo" rel="nofollow">Early Dreams 2</a> by Cam Taylor<br />
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| <a class="wiki_link_ext" href="https://soundcloud.com/cam-taylor-2-1/12tone63edo1" rel="nofollow">Improvisation in 12-tone fifths chain in 63EDO</a> by Cam Taylor</body></html></pre></div>
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The 63 equal division divides the octave into 63 equal parts of 19.048 cents each. It tempers out 3125/3072 in the 5-limit and 875/864, 225/224 and 245/243 in the 7-limit, so that it supports magic temperament. In the 11-limit it tempers out 100/99, supporting 11-limit magic, plus 896/891, 385/384 and 640/539. In the 13-limit it tempers put 275/273, 169/168, 640/637, 352/351, 364/363 and 676/675. It provides the optimal patent val for the 29&63 temperament in the 7-, 11- and 13-limit. It is divisible by 3, 7, 9 and 21.
63 is also a fascinating division to look at in the 23-limit, as its regular augmented fourth (+6 fifths) is less than 0.3c sharp of 23/16, therefore tempering out 729/726. Although it doesn't deal as well with primes 5, 17, and 19, it excels in the 2.3.7.11.13.23 group, and is a great candidate for a rank-1 or rank-2 gentle tuning. As a fifths-system, the diesis after 12 fifths can represent 32:33, 27:28, 88:91, and more, making chains of fifths 12 or longer very useful in covering harmonic and melodic ground while providing a lot of different colour in different keys. A 17-tone fifths chain looks on the surface a little similar to 17edo, but as -17 fifths gets us to 64/63, observing the comma becomes an essential part in progressions favouring prime 7.
Music:
Seconds and Otonal Shifts by Cam Taylor
those early dreams by Cam Taylor
Early Dreams 2 by Cam Taylor
Improvisation in 12-tone fifths chain in 63EDO by Cam Taylor