205edo: Difference between revisions

Revision as of 13:34, 3 October 2011

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This revision was by author genewardsmith and made on 2011-10-03 13:34:27 UTC.

The original revision id was 261007998.

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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, 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]]. It factors into primes as 5 * 41, a fact some advocates of the division make use of.

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://www.h-pi.com/TPX28features.html|Tonal Plexus midi controller]]. See the [[http://www.h-pi.com/theory/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.

=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===

===19 note===

===25 note===

==Meantone (119\205) MOS==

===12 note===

===19 note===


==Myna (53\205) MOS==

===11 note===

===15 note===

===19 note===

===23 note===

===27 note===

==Porcupine (28\205) MOS==

===15 note===

===22 note===

===29 note===

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, 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>. It factors into primes as 5 * 41, a fact some advocates of the division make use of.<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://www.h-pi.com/TPX28features.html" rel="nofollow">Tonal Plexus midi controller</a>. See the <a class="wiki_link_ext" href="http://www.h-pi.com/theory/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 />
<!-- 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>
<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>
<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>
<br />
<!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="x205edo MOS-Meantone (119\205) MOS"></a><!-- ws:end:WikiTextHeadingRule:26 -->Meantone (119\205) MOS</h2>
<br />
<!-- ws:start:WikiTextHeadingRule:28:&lt;h3&gt; --><h3 id="toc14"><a name="x205edo MOS-Meantone (119\205) MOS-12 note"></a><!-- ws:end:WikiTextHeadingRule:28 -->12 note</h3>
<br />
<!-- ws:start:WikiTextHeadingRule:30:&lt;h3&gt; --><h3 id="toc15"><a name="x205edo MOS-Meantone (119\205) MOS-19 note"></a><!-- ws:end:WikiTextHeadingRule:30 -->19 note</h3>
<br />
<br />
<!-- ws:start:WikiTextHeadingRule:32:&lt;h2&gt; --><h2 id="toc16"><a name="x205edo MOS-Myna (53\205) MOS"></a><!-- ws:end:WikiTextHeadingRule:32 -->Myna (53\205) MOS</h2>
<br />
<!-- ws:start:WikiTextHeadingRule:34:&lt;h3&gt; --><h3 id="toc17"><a name="x205edo MOS-Myna (53\205) MOS-11 note"></a><!-- ws:end:WikiTextHeadingRule:34 -->11 note</h3>
<br />
<!-- ws:start:WikiTextHeadingRule:36:&lt;h3&gt; --><h3 id="toc18"><a name="x205edo MOS-Myna (53\205) MOS-15 note"></a><!-- ws:end:WikiTextHeadingRule:36 -->15 note</h3>
<br />
<!-- ws:start:WikiTextHeadingRule:38:&lt;h3&gt; --><h3 id="toc19"><a name="x205edo MOS-Myna (53\205) MOS-19 note"></a><!-- ws:end:WikiTextHeadingRule:38 -->19 note</h3>
<br />
<!-- ws:start:WikiTextHeadingRule:40:&lt;h3&gt; --><h3 id="toc20"><a name="x205edo MOS-Myna (53\205) MOS-23 note"></a><!-- ws:end:WikiTextHeadingRule:40 -->23 note</h3>
<br />
<!-- ws:start:WikiTextHeadingRule:42:&lt;h3&gt; --><h3 id="toc21"><a name="x205edo MOS-Myna (53\205) MOS-27 note"></a><!-- ws:end:WikiTextHeadingRule:42 -->27 note</h3>
<br />
<!-- ws:start:WikiTextHeadingRule:44:&lt;h2&gt; --><h2 id="toc22"><a name="x205edo MOS-Porcupine (28\205) MOS"></a><!-- ws:end:WikiTextHeadingRule:44 -->Porcupine (28\205) MOS</h2>
<br />
<!-- ws:start:WikiTextHeadingRule:46:&lt;h3&gt; --><h3 id="toc23"><a name="x205edo MOS-Porcupine (28\205) MOS-15 note"></a><!-- ws:end:WikiTextHeadingRule:46 -->15 note</h3>
<br />
<!-- ws:start:WikiTextHeadingRule:48:&lt;h3&gt; --><h3 id="toc24"><a name="x205edo MOS-Porcupine (28\205) MOS-22 note"></a><!-- ws:end:WikiTextHeadingRule:48 -->22 note</h3>
<br />
<!-- ws:start:WikiTextHeadingRule:50:&lt;h3&gt; --><h3 id="toc25"><a name="x205edo MOS-Porcupine (28\205) MOS-29 note"></a><!-- ws:end:WikiTextHeadingRule:50 -->29 note</h3>
</body></html>

205edo: Difference between revisions

Revision as of 13:34, 3 October 2011

IMPORTED REVISION FROM WIKISPACES

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