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205edo: Difference between revisions

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Wikispaces>JosephRuhf
**Imported revision 601651598 - Original comment: **
Wikispaces>xenwolf
**Imported revision 602440602 - Original comment: removed tel links**
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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:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-07 15:45:15 UTC</tt>.<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-12-18 12:11:37 UTC</tt>.<br>
: The original revision id was <tt>601651598</tt>.<br>
: The original revision id was <tt>602440602</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt>removed tel links</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>
<h4>Original Wikitext content:</h4>
<h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">205EDO divides the octave into 205 parts of 5.854 cents each. It can serve as a tuning for various temperaments, such as [[Ragismic microtemperaments|amity]] or [[Hemifamity family|laka]], and supplies the optimal patent val for [[Hemifamity temperaments#Quanic|quanic]] in the 7-, 11-, 13-, 17- and 19-limits, and for 13-limit amity, as well as other temperaments tempering out the huntma, 640/637, the rank five temperament for which it also supplies the optimal patent val. In the 5-limit it tempers out [[tel:1600000/1594323|1600000/1594323]], the amity comma, and |38 -2 -15&gt;, the hemithirds comma, and is an excellent tuning for 5-limit amity. The patent val tempers out 4375/4374, 5120/5103, 6144/6125 and 540/539. Using its alternative mapping &lt;[[tel:205 325 476|205 325 476]] 525| it can also be used for [[Gamelismic clan|hemithirds temperament]]; the 13-limit version of this, &lt;[[tel:205 325 476 575 709|205 325 476 575 709]] 759|, is especially noteworthy. It factors into primes as 5 * 41, a fact some advocates of the division make use of; it is also 2460/12, so that a single step is precisely 12 [[mina|minas]].
<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">205EDO divides the octave into 205 parts of 5.854 cents each. It can serve as a tuning for various temperaments, such as [[Ragismic microtemperaments|amity]] or [[Hemifamity family|laka]], and supplies the optimal patent val for [[Hemifamity temperaments#Quanic|quanic]] in the 7-, 11-, 13-, 17- and 19-limits, and for 13-limit amity, as well as other temperaments tempering out the huntma, 640/637, the rank five temperament for which it also supplies the optimal patent val. In the 5-limit it tempers out 1600000/1594323, the amity comma, and |38 -2 -15&gt;, the hemithirds comma, and is an excellent tuning for 5-limit amity. The patent val tempers out 4375/4374, 5120/5103, 6144/6125 and 540/539. Using its alternative mapping &lt;205 325 476 525| it can also be used for [[Gamelismic clan|hemithirds temperament]]; the 13-limit version of this, &lt;205 325 476 575 709 759|, is especially noteworthy. It factors into primes as 5 * 41, a fact some advocates of the division make use of; it is also 2460/12, so that a single step is precisely 12 [[mina|minas]].


205et tempers out 540/539, so that it allows [[swetismic chords]]; 640/637, so that it allows [[huntmic chords]]; 352/351, so that it allows [[minthmic chords]]; 1188/1183 and 540/539, so that it allows [[kestrel chords]]; and 847/845, so that it allows the [[cuthbert triad]]. This makes it a tuning of exceptional fludity for its degree of accuracy.
205et tempers out 540/539, so that it allows [[swetismic chords]]; 640/637, so that it allows [[huntmic chords]]; 352/351, so that it allows [[minthmic chords]]; 1188/1183 and 540/539, so that it allows [[kestrel chords]]; and 847/845, so that it allows the [[cuthbert triad]]. This makes it a tuning of exceptional fludity for its degree of accuracy.
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===17 note===  
===17 note===  
[[tel:11 13 11 13 11 13 11|11 13 11 13 11 13 11]] [[tel:13 11 13 11 13 11 13|13 11 13 11 13 11 13]] 11 13 13
11 13 11 13 11 13 11 13 11 13 11 13 11 13 11 13 13


===26 note===  
===26 note===  
[[tel:11 11 2 11 11 2 11 11|11 11 2 11 11 2 11 11]] [[tel:2 11 11 2 11 11 2 11 11|2 11 11 2 11 11 2 11 11]] [[tel:2 11 11 2 11 11 2 11 2|2 11 11 2 11 11 2 11 2]]
11 11 2 11 11 2 11 11 2 11 11 2 11 11 2 11 11 2 11 11 2 11 11 2 11 2


==Amity (58\205) MOS==  
==Amity (58\205) MOS==  


===11 note===  
===11 note===  
[[tel:27 27 4 27 27 4 27 27|27 27 4 27 27 4 27 27]] 4 27 4
27 27 4 27 27 4 27 27 4 27 4


===18 note===  
===18 note===  
[[tel:23 4 23 4 4 23 4 23 4|23 4 23 4 4 23 4 23 4]] [[tel:4 23 4 23 4 4 23 4 4|4 23 4 23 4 4 23 4 4]]
23 4 23 4 4 23 4 23 4 4 23 4 23 4 4 23 4 4


===25 note===  
===25 note===  
[[tel:19 4 4 19 4 4 4 19 4|19 4 4 19 4 4 4 19 4]] [[tel:4 19 4 4 4 19 4 4 19 4|4 19 4 4 4 19 4 4 19 4]] 4 4 19 4 4 4
19 4 4 19 4 4 4 19 4 4 19 4 4 4 19 4 4 19 4 4 4 19 4 4 4


==Hemithirds (33\205) MOS==  
==Hemithirds (33\205) MOS==  


===13 note===  
===13 note===  
[[tel:26 7 26 7 26 7 26 7 26|26 7 26 7 26 7 26 7 26]] 7 26 7 7
26 7 26 7 26 7 26 7 26 7 26 7 7


===19 note===  
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[[tel:19 7 7 19 7 7 19 7 7|19 7 7 19 7 7 19 7 7]] [[tel:19 7 7 19 7 7 19 7 7|19 7 7 19 7 7 19 7 7]] 7
19 7 7 19 7 7 19 7 7 19 7 7 19 7 7 19 7 7 7


===25 note===  
===25 note===  
[[tel:12 7 7 7 12 7 7 7 12|12 7 7 7 12 7 7 7 12]] 7 7 [[tel:7 12 7 7 7 12 7 7 7 12|7 12 7 7 7 12 7 7 7 12]] 7 7 7 7
12 7 7 7 12 7 7 7 12 7 7 7 12 7 7 7 12 7 7 7 12 7 7 7 7


===31 notes===  
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[[tel:13 20 13 20 13 20 20|13 20 13 20 13 20 20]] [[tel:13 20 13 20 20|13 20 13 20 20]]
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[[tel:13 13 7 13 13 7 13 13|13 13 7 13 13 7 13 13]] [[tel:7 13 7 13 13 7 13 13 7|7 13 7 13 13 7 13 13 7]] 13 7
13 13 7 13 13 7 13 13 7 13 7 13 13 7 13 13 7 13 7


===31 notes===  
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7 [[tel:7 39 7 7 39 7 7 39 7 39|7 39 7 7 39 7 7 39 7 39]]
7 7 39 7 7 39 7 7 39 7 39


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7 7 [[tel:7 32 7 7 7 32 7 7 7 32|7 32 7 7 7 32 7 7 7 32]] 7 7 32
7 7 7 32 7 7 7 32 7 7 7 32 7 7 32


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7 7 7 [[tel:7 25 7 7 7 7 25 7 7 7 7|7 25 7 7 7 7 25 7 7 7 7]] [[tel:25 7 7 7 25|25 7 7 7 25]]
7 7 7 7 25 7 7 7 7 25 7 7 7 7 25 7 7 7 25


===23 note===  
===23 note===  
7 7 7 7 [[tel:7 18 7 7 7 7 7 18 7 7 7|7 18 7 7 7 7 7 18 7 7 7]] 7 [[tel:7 18 7 7 7 7 18|7 18 7 7 7 7 18]]
7 7 7 7 7 18 7 7 7 7 7 18 7 7 7 7 7 18 7 7 7 7 18


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===27 note===  
7 7 7 7 7 [[tel:7 11 7 7 7 7 7 7 11 7 7|7 11 7 7 7 7 7 7 11 7 7]] 7 7 7 [[tel:7 11 7 7 7 7 7 11|7 11 7 7 7 7 7 11]]
7 7 7 7 7 7 11 7 7 7 7 7 7 11 7 7 7 7 7 7 11 7 7 7 7 7 11


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[[tel:19 9 19 9 19 9 19 9 19|19 9 19 9 19 9 19 9 19]] [[tel:9 19 9 19 9 9|9 19 9 19 9 9]]
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[[tel:10 9 9 10 9 9 10 9 9|10 9 9 10 9 9 10 9 9]] [[tel:10 9 9 10 9 9 10 9 9|10 9 9 10 9 9 10 9 9]] 10 9 9 9
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1 9 9 9 1 9 9 9 1 9 9 9 1 9 9 9 1 9 9 9 1 9 9 9 1 9 9 9 9</pre></div>
1 9 9 9 1 9 9 9 1 9 9 9 1 9 9 9 1 9 9 9 1 9 9 9 1 9 9 9 9</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;205edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;205EDO divides the octave into 205 parts of 5.854 cents each. It can serve as a tuning for various temperaments, such as &lt;a class="wiki_link" href="/Ragismic%20microtemperaments"&gt;amity&lt;/a&gt; or &lt;a class="wiki_link" href="/Hemifamity%20family"&gt;laka&lt;/a&gt;, and supplies the optimal patent val for &lt;a class="wiki_link" href="/Hemifamity%20temperaments#Quanic"&gt;quanic&lt;/a&gt; in the 7-, 11-, 13-, 17- and 19-limits, and for 13-limit amity, as well as other temperaments tempering out the huntma, 640/637, the rank five temperament for which it also supplies the optimal patent val. In the 5-limit it tempers out [[tel:1600000/1594323|1600000/1594323]], the amity comma, and |38 -2 -15&amp;gt;, the hemithirds comma, and is an excellent tuning for 5-limit amity. The patent val tempers out 4375/4374, 5120/5103, 6144/6125 and 540/539. Using its alternative mapping &amp;lt;&lt;a class="wiki_link" href="http://tel.wikispaces.com/205%20325%20476"&gt;205 325 476&lt;/a&gt; 525| it can also be used for &lt;a class="wiki_link" href="/Gamelismic%20clan"&gt;hemithirds temperament&lt;/a&gt;; the 13-limit version of this, &amp;lt;&lt;a class="wiki_link" href="http://tel.wikispaces.com/205%20325%20476%20575%20709"&gt;205 325 476 575 709&lt;/a&gt; 759|, is especially noteworthy. It factors into primes as 5 * 41, a fact some advocates of the division make use of; it is also 2460/12, so that a single step is precisely 12 &lt;a class="wiki_link" href="/mina"&gt;minas&lt;/a&gt;.&lt;br /&gt;
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;205edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;205EDO divides the octave into 205 parts of 5.854 cents each. It can serve as a tuning for various temperaments, such as &lt;a class="wiki_link" href="/Ragismic%20microtemperaments"&gt;amity&lt;/a&gt; or &lt;a class="wiki_link" href="/Hemifamity%20family"&gt;laka&lt;/a&gt;, and supplies the optimal patent val for &lt;a class="wiki_link" href="/Hemifamity%20temperaments#Quanic"&gt;quanic&lt;/a&gt; in the 7-, 11-, 13-, 17- and 19-limits, and for 13-limit amity, as well as other temperaments tempering out the huntma, 640/637, the rank five temperament for which it also supplies the optimal patent val. In the 5-limit it tempers out 1600000/1594323, the amity comma, and |38 -2 -15&amp;gt;, the hemithirds comma, and is an excellent tuning for 5-limit amity. The patent val tempers out 4375/4374, 5120/5103, 6144/6125 and 540/539. Using its alternative mapping &amp;lt;205 325 476 525| it can also be used for &lt;a class="wiki_link" href="/Gamelismic%20clan"&gt;hemithirds temperament&lt;/a&gt;; the 13-limit version of this, &amp;lt;205 325 476 575 709 759|, is especially noteworthy. It factors into primes as 5 * 41, a fact some advocates of the division make use of; it is also 2460/12, so that a single step is precisely 12 &lt;a class="wiki_link" href="/mina"&gt;minas&lt;/a&gt;.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
205et tempers out 540/539, so that it allows &lt;a class="wiki_link" href="/swetismic%20chords"&gt;swetismic chords&lt;/a&gt;; 640/637, so that it allows &lt;a class="wiki_link" href="/huntmic%20chords"&gt;huntmic chords&lt;/a&gt;; 352/351, so that it allows &lt;a class="wiki_link" href="/minthmic%20chords"&gt;minthmic chords&lt;/a&gt;; 1188/1183 and 540/539, so that it allows &lt;a class="wiki_link" href="/kestrel%20chords"&gt;kestrel chords&lt;/a&gt;; and 847/845, so that it allows the &lt;a class="wiki_link" href="/cuthbert%20triad"&gt;cuthbert triad&lt;/a&gt;. This makes it a tuning of exceptional fludity for its degree of accuracy.&lt;br /&gt;
205et tempers out 540/539, so that it allows &lt;a class="wiki_link" href="/swetismic%20chords"&gt;swetismic chords&lt;/a&gt;; 640/637, so that it allows &lt;a class="wiki_link" href="/huntmic%20chords"&gt;huntmic chords&lt;/a&gt;; 352/351, so that it allows &lt;a class="wiki_link" href="/minthmic%20chords"&gt;minthmic chords&lt;/a&gt;; 1188/1183 and 540/539, so that it allows &lt;a class="wiki_link" href="/kestrel%20chords"&gt;kestrel chords&lt;/a&gt;; and 847/845, so that it allows the &lt;a class="wiki_link" href="/cuthbert%20triad"&gt;cuthbert triad&lt;/a&gt;. This makes it a tuning of exceptional fludity for its degree of accuracy.&lt;br /&gt;
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  &lt;a class="wiki_link" href="http://tel.wikispaces.com/11%2013%2011%2013%2011%2013%2011"&gt;11 13 11 13 11 13 11&lt;/a&gt; &lt;a class="wiki_link" href="http://tel.wikispaces.com/13%2011%2013%2011%2013%2011%2013"&gt;13 11 13 11 13 11 13&lt;/a&gt; 11 13 13&lt;br /&gt;
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  &lt;a class="wiki_link" href="http://tel.wikispaces.com/11%2011%202%2011%2011%202%2011%2011"&gt;11 11 2 11 11 2 11 11&lt;/a&gt; &lt;a class="wiki_link" href="http://tel.wikispaces.com/2%2011%2011%202%2011%2011%202%2011%2011"&gt;2 11 11 2 11 11 2 11 11&lt;/a&gt; &lt;a class="wiki_link" href="http://tel.wikispaces.com/2%2011%2011%202%2011%2011%202%2011%202"&gt;2 11 11 2 11 11 2 11 2&lt;/a&gt;&lt;br /&gt;
  11 11 2 11 11 2 11 11 2 11 11 2 11 11 2 11 11 2 11 11 2 11 11 2 11 2&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="x205edo MOS-Amity (58\205) MOS"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Amity (58\205) MOS&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="x205edo MOS-Amity (58\205) MOS"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Amity (58\205) MOS&lt;/h2&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc6"&gt;&lt;a name="x205edo MOS-Amity (58\205) MOS-11 note"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;11 note&lt;/h3&gt;
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  &lt;a class="wiki_link" href="http://tel.wikispaces.com/27%2027%204%2027%2027%204%2027%2027"&gt;27 27 4 27 27 4 27 27&lt;/a&gt; 4 27 4&lt;br /&gt;
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  &lt;a class="wiki_link" href="http://tel.wikispaces.com/23%204%2023%204%204%2023%204%2023%204"&gt;23 4 23 4 4 23 4 23 4&lt;/a&gt; &lt;a class="wiki_link" href="http://tel.wikispaces.com/4%2023%204%2023%204%204%2023%204%204"&gt;4 23 4 23 4 4 23 4 4&lt;/a&gt;&lt;br /&gt;
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  &lt;a class="wiki_link" href="http://tel.wikispaces.com/19%204%204%2019%204%204%204%2019%204"&gt;19 4 4 19 4 4 4 19 4&lt;/a&gt; &lt;a class="wiki_link" href="http://tel.wikispaces.com/4%2019%204%204%204%2019%204%204%2019%204"&gt;4 19 4 4 4 19 4 4 19 4&lt;/a&gt; 4 4 19 4 4 4&lt;br /&gt;
  19 4 4 19 4 4 4 19 4 4 19 4 4 4 19 4 4 19 4 4 4 19 4 4 4&lt;br /&gt;
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  &lt;a class="wiki_link" href="http://tel.wikispaces.com/26%207%2026%207%2026%207%2026%207%2026"&gt;26 7 26 7 26 7 26 7 26&lt;/a&gt; 7 26 7 7&lt;br /&gt;
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  &lt;a class="wiki_link" href="http://tel.wikispaces.com/19%207%207%2019%207%207%2019%207%207"&gt;19 7 7 19 7 7 19 7 7&lt;/a&gt; &lt;a class="wiki_link" href="http://tel.wikispaces.com/19%207%207%2019%207%207%2019%207%207"&gt;19 7 7 19 7 7 19 7 7&lt;/a&gt; 7&lt;br /&gt;
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