205edo: Difference between revisions

Revision as of 12:11, 18 December 2016

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author xenwolf and made on 2016-12-18 12:11:37 UTC.

The original revision id was 602440602.

The revision comment was: removed tel links

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

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>, 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 <205 325 476 525| it can also be used for [[Gamelismic clan|hemithirds temperament]]; the 13-limit version of this, <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.

=Temperament generators and Tonal Plexus= 
205edo is the default tuning for the [[http://hpi.zentral.zone/tonalplexus|Tonal Plexus midi controller]]. See the [[http://musictheory.zentral.zone/huntsystem1.html|theory part]] on the same website. Aside from the 24\205 generator of quanic, the 58\205 generator of amity, and the 33\205 generator of hemithirds, 205edo supplies an excellent [[meantone]] fifth in 119\205, an excellent [[myna]] generator in 53\205, and a very good [[porcupine]] generator with 28\205, which is also an excellent generator for the higher-limit extension porky, and when sliced in half to 14\205, can even be used for nautilus. These facts are all potentially of significance to anyone using a 205edo based system such as the Tonal Plexus.

The 119\205 meantone fifth is extremely close to the 1/4-comma fifth, being only 0.007 cents sharp of it. Moreover the steps are half a cent flat of 1/4 of a syntonic comma. This makes the Tonal Plexus keyboard potentially of use in implementing [[http://en.wikipedia.org/wiki/Nicola_Vicentino|Nicola Vicentino]]'s [[http://www.tonalsoft.com/monzo/vicentino/vicentino.aspx|adaptive-JI scheme of 1555]]. It also means that authentic 1/4-comma meantone tuning is, for practical purposes, available in 205 and allows for historically authentic performances of 1/4-comma music on the historically newfangled Tonal Plexus.

=205edo MOS= 
==Quanic (24\205) MOS== 

===17 note=== 
11 13 11 13 11 13 11 13 11 13 11 13 11 13 11 13 13

===26 note=== 
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== 

===11 note=== 
27 27 4 27 27 4 27 27 4 27 4

===18 note=== 
23 4 23 4 4 23 4 23 4 4 23 4 23 4 4 23 4 4

===25 note=== 
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== 

===13 note=== 
26 7 26 7 26 7 26 7 26 7 26 7 7

===19 note=== 
19 7 7 19 7 7 19 7 7 19 7 7 19 7 7 19 7 7 7

===25 note=== 
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=== 
5 7 7 7 7 5 7 7 7 7 5 7 7 7 7 5 7 7 7 7 5 7 7 7 7 5 7 7 7 7 7

==Meantone (119\205) MOS== 

===12 note=== 
13 20 13 20 13 20 20 13 20 13 20 20

===19 note=== 
13 13 7 13 13 7 13 13 7 13 7 13 13 7 13 13 7 13 7

===31 notes=== 
6 7 6 7 7 6 7 6 7 7 6 7 6 7 7 6 7 7 6 7 6 7 7 6 7 6 7 7 6 7 7

==Myna (53\205) MOS== 

===11 note=== 
7 7 39 7 7 39 7 7 39 7 39

===15 note=== 
7 7 7 32 7 7 7 32 7 7 7 32 7 7 32

===19 note=== 
7 7 7 7 25 7 7 7 7 25 7 7 7 7 25 7 7 7 25

===23 note=== 
7 7 7 7 7 18 7 7 7 7 7 18 7 7 7 7 7 18 7 7 7 7 18

===27 note=== 
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

===31 notes=== 
7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 4 7 7 7 7 7 7 4

==Porcupine (28\205) MOS== 

===15 note=== 
19 9 19 9 19 9 19 9 19 9 19 9 19 9 9

===22 note=== 
10 9 9 10 9 9 10 9 9 10 9 9 10 9 9 10 9 9 10 9 9 9

===29 note=== 
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

Original HTML content:

<html><head><title>205edo</title></head><body>205EDO divides the octave into 205 parts of 5.854 cents each. It can serve as a tuning for various temperaments, such as <a class="wiki_link" href="/Ragismic%20microtemperaments">amity</a> or <a class="wiki_link" href="/Hemifamity%20family">laka</a>, and supplies the optimal patent val for <a class="wiki_link" href="/Hemifamity%20temperaments#Quanic">quanic</a> 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 <a class="wiki_link" href="/Gamelismic%20clan">hemithirds temperament</a>; 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 <a class="wiki_link" href="/mina">minas</a>.<br />
<br />
205et tempers out 540/539, so that it allows <a class="wiki_link" href="/swetismic%20chords">swetismic chords</a>; 640/637, so that it allows <a class="wiki_link" href="/huntmic%20chords">huntmic chords</a>; 352/351, so that it allows <a class="wiki_link" href="/minthmic%20chords">minthmic chords</a>; 1188/1183 and 540/539, so that it allows <a class="wiki_link" href="/kestrel%20chords">kestrel chords</a>; and 847/845, so that it allows the <a class="wiki_link" href="/cuthbert%20triad">cuthbert triad</a>. This makes it a tuning of exceptional fludity for its degree of accuracy.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Temperament generators and Tonal Plexus"></a><!-- ws:end:WikiTextHeadingRule:0 -->Temperament generators and Tonal Plexus</h1>
 205edo is the default tuning for the <a class="wiki_link_ext" href="http://hpi.zentral.zone/tonalplexus" rel="nofollow">Tonal Plexus midi controller</a>. See the <a class="wiki_link_ext" href="http://musictheory.zentral.zone/huntsystem1.html" rel="nofollow">theory part</a> on the same website. Aside from the 24\205 generator of quanic, the 58\205 generator of amity, and the 33\205 generator of hemithirds, 205edo supplies an excellent <a class="wiki_link" href="/meantone">meantone</a> fifth in 119\205, an excellent <a class="wiki_link" href="/myna">myna</a> generator in 53\205, and a very good <a class="wiki_link" href="/porcupine">porcupine</a> generator with 28\205, which is also an excellent generator for the higher-limit extension porky, and when sliced in half to 14\205, can even be used for nautilus. These facts are all potentially of significance to anyone using a 205edo based system such as the Tonal Plexus.<br />
<br />
The 119\205 meantone fifth is extremely close to the 1/4-comma fifth, being only 0.007 cents sharp of it. Moreover the steps are half a cent flat of 1/4 of a syntonic comma. This makes the Tonal Plexus keyboard potentially of use in implementing <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Nicola_Vicentino" rel="nofollow">Nicola Vicentino</a>'s <a class="wiki_link_ext" href="http://www.tonalsoft.com/monzo/vicentino/vicentino.aspx" rel="nofollow">adaptive-JI scheme of 1555</a>. It also means that authentic 1/4-comma meantone tuning is, for practical purposes, available in 205 and allows for historically authentic performances of 1/4-comma music on the historically newfangled Tonal Plexus.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="x205edo MOS"></a><!-- ws:end:WikiTextHeadingRule:2 -->205edo MOS</h1>
 <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x205edo MOS-Quanic (24\205) MOS"></a><!-- ws:end:WikiTextHeadingRule:4 -->Quanic (24\205) MOS</h2>
 <br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="x205edo MOS-Quanic (24\205) MOS-17 note"></a><!-- ws:end:WikiTextHeadingRule:6 -->17 note</h3>
 11 13 11 13 11 13 11 13 11 13 11 13 11 13 11 13 13<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="x205edo MOS-Quanic (24\205) MOS-26 note"></a><!-- ws:end:WikiTextHeadingRule:8 -->26 note</h3>
 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<br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="x205edo MOS-Amity (58\205) MOS"></a><!-- ws:end:WikiTextHeadingRule:10 -->Amity (58\205) MOS</h2>
 <br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h3&gt; --><h3 id="toc6"><a name="x205edo MOS-Amity (58\205) MOS-11 note"></a><!-- ws:end:WikiTextHeadingRule:12 -->11 note</h3>
 27 27 4 27 27 4 27 27 4 27 4<br />
<br />
<!-- ws:start:WikiTextHeadingRule:14:&lt;h3&gt; --><h3 id="toc7"><a name="x205edo MOS-Amity (58\205) MOS-18 note"></a><!-- ws:end:WikiTextHeadingRule:14 -->18 note</h3>
 23 4 23 4 4 23 4 23 4 4 23 4 23 4 4 23 4 4<br />
<br />
<!-- ws:start:WikiTextHeadingRule:16:&lt;h3&gt; --><h3 id="toc8"><a name="x205edo MOS-Amity (58\205) MOS-25 note"></a><!-- ws:end:WikiTextHeadingRule:16 -->25 note</h3>
 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<br />
<br />
<!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="x205edo MOS-Hemithirds (33\205) MOS"></a><!-- ws:end:WikiTextHeadingRule:18 -->Hemithirds (33\205) MOS</h2>
 <br />
<!-- ws:start:WikiTextHeadingRule:20:&lt;h3&gt; --><h3 id="toc10"><a name="x205edo MOS-Hemithirds (33\205) MOS-13 note"></a><!-- ws:end:WikiTextHeadingRule:20 -->13 note</h3>
 26 7 26 7 26 7 26 7 26 7 26 7 7<br />
<br />
<!-- ws:start:WikiTextHeadingRule:22:&lt;h3&gt; --><h3 id="toc11"><a name="x205edo MOS-Hemithirds (33\205) MOS-19 note"></a><!-- ws:end:WikiTextHeadingRule:22 -->19 note</h3>
 19 7 7 19 7 7 19 7 7 19 7 7 19 7 7 19 7 7 7<br />
<br />
<!-- ws:start:WikiTextHeadingRule:24:&lt;h3&gt; --><h3 id="toc12"><a name="x205edo MOS-Hemithirds (33\205) MOS-25 note"></a><!-- ws:end:WikiTextHeadingRule:24 -->25 note</h3>
 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<br />
<br />
<!-- ws:start:WikiTextHeadingRule:26:&lt;h3&gt; --><h3 id="toc13"><a name="x205edo MOS-Hemithirds (33\205) MOS-31 notes"></a><!-- ws:end:WikiTextHeadingRule:26 -->31 notes</h3>
 5 7 7 7 7 5 7 7 7 7 5 7 7 7 7 5 7 7 7 7 5 7 7 7 7 5 7 7 7 7 7<br />
<br />
<!-- ws:start:WikiTextHeadingRule:28:&lt;h2&gt; --><h2 id="toc14"><a name="x205edo MOS-Meantone (119\205) MOS"></a><!-- ws:end:WikiTextHeadingRule:28 -->Meantone (119\205) MOS</h2>
 <br />
<!-- ws:start:WikiTextHeadingRule:30:&lt;h3&gt; --><h3 id="toc15"><a name="x205edo MOS-Meantone (119\205) MOS-12 note"></a><!-- ws:end:WikiTextHeadingRule:30 -->12 note</h3>
 13 20 13 20 13 20 20 13 20 13 20 20<br />
<br />
<!-- ws:start:WikiTextHeadingRule:32:&lt;h3&gt; --><h3 id="toc16"><a name="x205edo MOS-Meantone (119\205) MOS-19 note"></a><!-- ws:end:WikiTextHeadingRule:32 -->19 note</h3>
 13 13 7 13 13 7 13 13 7 13 7 13 13 7 13 13 7 13 7<br />
<br />
<!-- ws:start:WikiTextHeadingRule:34:&lt;h3&gt; --><h3 id="toc17"><a name="x205edo MOS-Meantone (119\205) MOS-31 notes"></a><!-- ws:end:WikiTextHeadingRule:34 -->31 notes</h3>
 6 7 6 7 7 6 7 6 7 7 6 7 6 7 7 6 7 7 6 7 6 7 7 6 7 6 7 7 6 7 7<br />
<br />
<!-- ws:start:WikiTextHeadingRule:36:&lt;h2&gt; --><h2 id="toc18"><a name="x205edo MOS-Myna (53\205) MOS"></a><!-- ws:end:WikiTextHeadingRule:36 -->Myna (53\205) MOS</h2>
 <br />
<!-- ws:start:WikiTextHeadingRule:38:&lt;h3&gt; --><h3 id="toc19"><a name="x205edo MOS-Myna (53\205) MOS-11 note"></a><!-- ws:end:WikiTextHeadingRule:38 -->11 note</h3>
 7 7 39 7 7 39 7 7 39 7 39<br />
<br />
<!-- ws:start:WikiTextHeadingRule:40:&lt;h3&gt; --><h3 id="toc20"><a name="x205edo MOS-Myna (53\205) MOS-15 note"></a><!-- ws:end:WikiTextHeadingRule:40 -->15 note</h3>
 7 7 7 32 7 7 7 32 7 7 7 32 7 7 32<br />
<br />
<!-- ws:start:WikiTextHeadingRule:42:&lt;h3&gt; --><h3 id="toc21"><a name="x205edo MOS-Myna (53\205) MOS-19 note"></a><!-- ws:end:WikiTextHeadingRule:42 -->19 note</h3>
 7 7 7 7 25 7 7 7 7 25 7 7 7 7 25 7 7 7 25<br />
<br />
<!-- ws:start:WikiTextHeadingRule:44:&lt;h3&gt; --><h3 id="toc22"><a name="x205edo MOS-Myna (53\205) MOS-23 note"></a><!-- ws:end:WikiTextHeadingRule:44 -->23 note</h3>
 7 7 7 7 7 18 7 7 7 7 7 18 7 7 7 7 7 18 7 7 7 7 18<br />
<br />
<!-- ws:start:WikiTextHeadingRule:46:&lt;h3&gt; --><h3 id="toc23"><a name="x205edo MOS-Myna (53\205) MOS-27 note"></a><!-- ws:end:WikiTextHeadingRule:46 -->27 note</h3>
 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<br />
<br />
<!-- ws:start:WikiTextHeadingRule:48:&lt;h3&gt; --><h3 id="toc24"><a name="x205edo MOS-Myna (53\205) MOS-31 notes"></a><!-- ws:end:WikiTextHeadingRule:48 -->31 notes</h3>
 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 4 7 7 7 7 7 7 4<br />
<br />
<!-- ws:start:WikiTextHeadingRule:50:&lt;h2&gt; --><h2 id="toc25"><a name="x205edo MOS-Porcupine (28\205) MOS"></a><!-- ws:end:WikiTextHeadingRule:50 -->Porcupine (28\205) MOS</h2>
 <br />
<!-- ws:start:WikiTextHeadingRule:52:&lt;h3&gt; --><h3 id="toc26"><a name="x205edo MOS-Porcupine (28\205) MOS-15 note"></a><!-- ws:end:WikiTextHeadingRule:52 -->15 note</h3>
 19 9 19 9 19 9 19 9 19 9 19 9 19 9 9<br />
<br />
<!-- ws:start:WikiTextHeadingRule:54:&lt;h3&gt; --><h3 id="toc27"><a name="x205edo MOS-Porcupine (28\205) MOS-22 note"></a><!-- ws:end:WikiTextHeadingRule:54 -->22 note</h3>
 10 9 9 10 9 9 10 9 9 10 9 9 10 9 9 10 9 9 10 9 9 9<br />
<br />
<!-- ws:start:WikiTextHeadingRule:56:&lt;h3&gt; --><h3 id="toc28"><a name="x205edo MOS-Porcupine (28\205) MOS-29 note"></a><!-- ws:end:WikiTextHeadingRule:56 -->29 note</h3>
 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</body></html>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>
 <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]].
 et 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.
@@ Line 19: / Line 19: @@
 ===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
+13 11 13 11 13 11 13 11 13 11 13 11 13 11 13 13
 ===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 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==
 ===11 note===
-[[tel:27 27 4 27 27 4 27 27|27 27 4 27 27 4 27 27]] 4 27 4
+27 4 27 27 4 27 27 4 27 4
 ===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]]
+4 23 4 4 23 4 23 4 4 23 4 23 4 4 23 4 4
 ===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
+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==
 ===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
+7 26 7 26 7 26 7 26 7 26 7 7
 ===19 note===
-[[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
+7 7 19 7 7 19 7 7 19 7 7 19 7 7 19 7 7 7
 ===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
+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===
@@ Line 52: / Line 52: @@
 ===12 note===
-[[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]]
+20 13 20 13 20 20 13 20 13 20 20
 ===19 note===
-[[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 7 13 13 7 13 13 7 13 7 13 13 7 13 13 7 13 7
 ===31 notes===
@@ Line 63: / Line 63: @@
 ===11 note===
-[[tel:7 39 7 7 39 7 7 39 7 39|7 39 7 7 39 7 7 39 7 39]]
+7 39 7 7 39 7 7 39 7 39
 ===15 note===
-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 32 7 7 7 32 7 7 7 32 7 7 32
 ===19 note===
-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 25 7 7 7 7 25 7 7 7 7 25 7 7 7 25
 ===23 note===
-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 18 7 7 7 7 7 18 7 7 7 7 7 18 7 7 7 7 18
 ===27 note===
-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 11 7 7 7 7 7 7 11 7 7 7 7 7 7 11 7 7 7 7 7 11
 ===31 notes===
@@ Line 83: / Line 83: @@
 ===15 note===
-[[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]]
+9 19 9 19 9 19 9 19 9 19 9 19 9 9
 ===22 note===
-[[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
+9 9 10 9 9 10 9 9 10 9 9 10 9 9 10 9 9 10 9 9 9
 ===29 note===
 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>
-<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;
 et 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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