41edo: Difference between revisions
Wikispaces>keenanpepper **Imported revision 245987989 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 280474420 - Original comment: ** |
||
| Line 1: | Line 1: | ||
<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: | : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-11-30 01:37:46 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>280474420</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt></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> | ||
| Line 8: | Line 8: | ||
<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"><span style="color: #004d25; font-family: 'Times New Roman',Times,serif; font-size: 20px;">**41 Tone Equal Temperament**</span> | <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"><span style="color: #004d25; font-family: 'Times New Roman',Times,serif; font-size: 20px;">**41 Tone Equal Temperament**</span> | ||
The 41-tET, 41-EDO, or 41-ET, is the scale derived by dividing the octave into 41 equally-sized steps. Each step represents a frequency ratio of 29.268 [[cent]]s, an [[interval]] close in size to [[64_63|64/63]], the [[Septimal comma|septimal comma]]. 41-ET can be seen as a tuning of the //[[Schismatic family#Garibaldi|Garibaldi temperament]]// <ref>[[http://x31eq.com/schismic.htm|"Schismic Temperaments"]] at x31eq.com the websize of [[Graham Breed]]</ref> , <ref>[[http://x31eq.com/decimal_lattice.htm|"Lattices with Decimal Notation"]] at x31eq.com</ref> , <ref>[[http://en.wikipedia.org/wiki/Schismatic_temperament|Schismatic temperament]]</ref> the //[[Magic family|Magic temperament]]// <ref>[[http://en.wikipedia.org/wiki/Magic_temperament|Magic temperament]]</ref> and the superkleismic (41&26) temperament. It is the second smallest equal temperament (after [[29edo]]) whose perfect fifth is closer to just intonation than that of [[12edo|12-ET]], and is the seventh [[The Riemann Zeta Function and Tuning#Zeta | The 41-tET, 41-EDO, or 41-ET, is the scale derived by dividing the octave into 41 equally-sized steps. Each step represents a frequency ratio of 29.268 [[cent]]s, an [[interval]] close in size to [[64_63|64/63]], the [[Septimal comma|septimal comma]]. 41-ET can be seen as a tuning of the //[[Schismatic family#Garibaldi|Garibaldi temperament]]// <ref>[[http://x31eq.com/schismic.htm|"Schismic Temperaments"]] at x31eq.com the websize of [[Graham Breed]]</ref> , <ref>[[http://x31eq.com/decimal_lattice.htm|"Lattices with Decimal Notation"]] at x31eq.com</ref> , <ref>[[http://en.wikipedia.org/wiki/Schismatic_temperament|Schismatic temperament]]</ref> the //[[Magic family|Magic temperament]]// <ref>[[http://en.wikipedia.org/wiki/Magic_temperament|Magic temperament]]</ref> and the superkleismic (41&26) temperament. It is the second smallest equal temperament (after [[29edo]]) whose perfect fifth is closer to just intonation than that of [[12edo|12-ET]], and is the seventh [[The Riemann Zeta Function and Tuning#Zeta%20EDO%20lists|zeta integral edo]] after 31; it is not, however, a [[The Riemann Zeta Function and Tuning#Zeta%20EDO%20lists|zeta gap edo]]. This has to do with the fact that it can deal with the [[11-limit]] fairly well, and the [[13-limit]] perhaps close enough for government work, though its [[13_10|13/10]] is 14 cents sharp. | ||
[[toc|flat]] | [[toc|flat]] | ||
| Line 14: | Line 14: | ||
=Intervals= | =Intervals= | ||
||~ degrees of 41edo ||~ cents value ||~ Andrew's solfege syllable ||~ generator for || | ||~ degrees of 41edo ||~ cents value ||~ Andrew's solfege syllable ||~ generator for ||~ some MOS and MODMOS Scales available || | ||
|| 0 || 0.00 || do || || | || 0 || 0.00 || do || || || | ||
|| 1 || 29.27 || di || || | || 1 || 29.27 || di || || || | ||
|| 2 || 58.54 || ro || || | || 2 || 58.54 || ro || || || | ||
|| 3 || 87.80 || rih || 88cET (approx) / [[octacot]] || | || 3 || 87.80 || rih || 88cET (approx) / [[octacot]] || || | ||
|| 4 || 117.07 || ra || [[Miracle]] || | || 4 || 117.07 || ra || [[Miracle]] || || | ||
|| 5 || 146.34 || ru || [[Bohlen-Pierce]]/[[bohpier]] || | || 5 || 146.34 || ru || [[Bohlen-Pierce]]/[[bohpier]] || || | ||
|| 6 || 175.61 || reh || [[Tetracot]]/[[bunya]]/[[monkey]] || | || 6 || 175.61 || reh || [[Tetracot]]/[[bunya]]/[[monkey]] || 13-tone MOS: 1 5 1 5 1 5 1 5 5 1 5 1 5 || | ||
|| 7 || 204.88 || re || || | || 7 || 204.88 || re || || 11-tone MOS: 6 1 6 6 1 6 1 6 1 6 1 || | ||
|| 8 || 234.15 || ri || [[Rodan]]/[[guiron]] || | || 8 || 234.15 || ri || [[Rodan]]/[[guiron]] || 11-tone MOS: 7 1 7 1 7 1 7 1 1 7 1 || | ||
|| 9 || 263.41 || ma || [[Septimin]] || | || 9 || 263.41 || ma || [[Septimin]] || 9-tone MOS: 5 4 5 5 4 5 4 5 4 || | ||
|| 10 || 292.68 || meh || || | || 10 || 292.68 || meh || || || | ||
|| 11 || 321.95 || me || [[Superkleismic]] || | || 11 || 321.95 || me || [[Superkleismic]] || 11-tone MOS: 5 3 5 3 3 5 3 3 5 3 3 || | ||
|| 12 || 351.22 || mu || [[Hemififths]]/[[karadeniz]] || | || 12 || 351.22 || mu || [[Hemififths]]/[[karadeniz]] || 10-tone MOS: 5 2 5 5 2 5 5 5 2 5 || | ||
|| 13 || 380.49 || mi || [[Magic]]/[[witchcraft]] || | || 13 || 380.49 || mi || [[Magic]]/[[witchcraft]] || 10-tone MOS: 2 9 2 2 9 2 2 9 2 2 || | ||
|| 14 || 409.76 || maa || [[Hocus]] || | || 14 || 409.76 || maa || [[Hocus]] || || | ||
|| 15 || 439.02 || mo || || | || 15 || 439.02 || mo || || 11-tone MOS: 4 3 4 4 4 3 4 4 3 4 4 || | ||
|| 16 || 468.29 || fe || || | || 16 || 468.29 || fe || || || | ||
|| 17 || 497.56 || fa || [[Schismatic]] ([[helmholtz]], [[Garibaldi temperament|garibaldi]], [[cassandra]]) || | || 17 || 497.56 || fa || [[Schismatic]] ([[helmholtz]], [[Garibaldi temperament|garibaldi]], [[cassandra]]) || || | ||
|| 18 || 526.83 || fih || || | || 18 || 526.83 || fih || || 9-tone MOS: 5 5 3 5 5 5 5 3 5 || | ||
|| 19 || 556.10 || fu || || | || 19 || 556.10 || fu || || || | ||
|| 20 || 585.37 || fi || [[Pluto]] || | || 20 || 585.37 || fi || [[Pluto]] || || | ||
|| 21 || 614.63 || se || || | || 21 || 614.63 || se || || || | ||
|| 22 || 643.90 || su || || | || 22 || 643.90 || su || || || | ||
|| 23 || 673.17 || sih || || | || 23 || 673.17 || sih || || || | ||
|| 24 || 702.44 || sol || || | || 24 || 702.44 || sol || || || | ||
|| 25 || 731.71 || si || || | || 25 || 731.71 || si || || || | ||
|| 26 || 760.98 || lo || || | || 26 || 760.98 || lo || || || | ||
|| 27 || 790.24 || leh || || | || 27 || 790.24 || leh || || || | ||
|| 28 || 819.51 || le || || | || 28 || 819.51 || le || || || | ||
|| 29 || 848.78 || lu || || | || 29 || 848.78 || lu || || || | ||
|| 30 || 878.05 || la || || | || 30 || 878.05 || la || || || | ||
|| 31 || 907.32 || laa || || | || 31 || 907.32 || laa || || || | ||
|| 32 || 936.59 || li || || | || 32 || 936.59 || li || || || | ||
|| 33 || 965.85 || ta || || | || 33 || 965.85 || ta || || || | ||
|| 34 || 995.12 || teh || || | || 34 || 995.12 || teh || || || | ||
|| 35 || 1024.39 || te || || | || 35 || 1024.39 || te || || || | ||
|| 36 || 1053.66 || tu || || | || 36 || 1053.66 || tu || || || | ||
|| 37 || 1082.93 || ti || || | || 37 || 1082.93 || ti || || || | ||
|| 38 || 1112.20 || taa || || | || 38 || 1112.20 || taa || || || | ||
|| 39 || 1141.46 || to || || | || 39 || 1141.46 || to || || || | ||
|| 40 || 1170.73 || da || || | || 40 || 1170.73 || da || || || | ||
=Instruments= | =Instruments= | ||
| Line 155: | Line 155: | ||
<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>41edo</title></head><body><span style="color: #004d25; font-family: 'Times New Roman',Times,serif; font-size: 20px;"><strong>41 Tone Equal Temperament</strong></span><br /> | <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>41edo</title></head><body><span style="color: #004d25; font-family: 'Times New Roman',Times,serif; font-size: 20px;"><strong>41 Tone Equal Temperament</strong></span><br /> | ||
<br /> | <br /> | ||
The 41-tET, 41-EDO, or 41-ET, is the scale derived by dividing the octave into 41 equally-sized steps. Each step represents a frequency ratio of 29.268 <a class="wiki_link" href="/cent">cent</a>s, an <a class="wiki_link" href="/interval">interval</a> close in size to <a class="wiki_link" href="/64_63">64/63</a>, the <a class="wiki_link" href="/Septimal%20comma">septimal comma</a>. 41-ET can be seen as a tuning of the <em><a class="wiki_link" href="/Schismatic%20family#Garibaldi">Garibaldi temperament</a></em> <!-- ws:start:WikiTextRefRule:2:&amp;lt;ref&amp;gt;&lt;a class=&quot;wiki_link_ext&quot; href=&quot;http://x31eq.com/schismic.htm&quot; rel=&quot;nofollow&quot;&gt;&amp;quot;Schismic Temperaments&amp;quot;&lt;/a&gt; at x31eq.com the websize of &lt;a class=&quot;wiki_link&quot; href=&quot;/Graham%20Breed&quot;&gt;Graham Breed&lt;/a&gt;&amp;lt;/ref&amp;gt; --><sup id="cite_ref-1" class="reference"><a href="#cite_note-1">[1]</a></sup><!-- ws:end:WikiTextRefRule:2 --> , <!-- ws:start:WikiTextRefRule:4:&amp;lt;ref&amp;gt;&lt;a class=&quot;wiki_link_ext&quot; href=&quot;http://x31eq.com/decimal_lattice.htm&quot; rel=&quot;nofollow&quot;&gt;&amp;quot;Lattices with Decimal Notation&amp;quot;&lt;/a&gt; at x31eq.com&amp;lt;/ref&amp;gt; --><sup id="cite_ref-2" class="reference"><a href="#cite_note-2">[2]</a></sup><!-- ws:end:WikiTextRefRule:4 --> , <!-- ws:start:WikiTextRefRule:6:&amp;lt;ref&amp;gt;&lt;a class=&quot;wiki_link_ext&quot; href=&quot;http://en.wikipedia.org/wiki/Schismatic_temperament&quot; rel=&quot;nofollow&quot;&gt;Schismatic temperament&lt;/a&gt;&amp;lt;/ref&amp;gt; --><sup id="cite_ref-3" class="reference"><a href="#cite_note-3">[3]</a></sup><!-- ws:end:WikiTextRefRule:6 --> the <em><a class="wiki_link" href="/Magic%20family">Magic temperament</a></em> <!-- ws:start:WikiTextRefRule:8:&amp;lt;ref&amp;gt;&lt;a class=&quot;wiki_link_ext&quot; href=&quot;http://en.wikipedia.org/wiki/Magic_temperament&quot; rel=&quot;nofollow&quot;&gt;Magic temperament&lt;/a&gt;&amp;lt;/ref&amp;gt; --><sup id="cite_ref-4" class="reference"><a href="#cite_note-4">[4]</a></sup><!-- ws:end:WikiTextRefRule:8 --> and the superkleismic (41&amp;26) temperament. It is the second smallest equal temperament (after <a class="wiki_link" href="/29edo">29edo</a>) whose perfect fifth is closer to just intonation than that of <a class="wiki_link" href="/12edo">12-ET</a>, and is the seventh <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta | The 41-tET, 41-EDO, or 41-ET, is the scale derived by dividing the octave into 41 equally-sized steps. Each step represents a frequency ratio of 29.268 <a class="wiki_link" href="/cent">cent</a>s, an <a class="wiki_link" href="/interval">interval</a> close in size to <a class="wiki_link" href="/64_63">64/63</a>, the <a class="wiki_link" href="/Septimal%20comma">septimal comma</a>. 41-ET can be seen as a tuning of the <em><a class="wiki_link" href="/Schismatic%20family#Garibaldi">Garibaldi temperament</a></em> <!-- ws:start:WikiTextRefRule:2:&amp;lt;ref&amp;gt;&lt;a class=&quot;wiki_link_ext&quot; href=&quot;http://x31eq.com/schismic.htm&quot; rel=&quot;nofollow&quot;&gt;&amp;quot;Schismic Temperaments&amp;quot;&lt;/a&gt; at x31eq.com the websize of &lt;a class=&quot;wiki_link&quot; href=&quot;/Graham%20Breed&quot;&gt;Graham Breed&lt;/a&gt;&amp;lt;/ref&amp;gt; --><sup id="cite_ref-1" class="reference"><a href="#cite_note-1">[1]</a></sup><!-- ws:end:WikiTextRefRule:2 --> , <!-- ws:start:WikiTextRefRule:4:&amp;lt;ref&amp;gt;&lt;a class=&quot;wiki_link_ext&quot; href=&quot;http://x31eq.com/decimal_lattice.htm&quot; rel=&quot;nofollow&quot;&gt;&amp;quot;Lattices with Decimal Notation&amp;quot;&lt;/a&gt; at x31eq.com&amp;lt;/ref&amp;gt; --><sup id="cite_ref-2" class="reference"><a href="#cite_note-2">[2]</a></sup><!-- ws:end:WikiTextRefRule:4 --> , <!-- ws:start:WikiTextRefRule:6:&amp;lt;ref&amp;gt;&lt;a class=&quot;wiki_link_ext&quot; href=&quot;http://en.wikipedia.org/wiki/Schismatic_temperament&quot; rel=&quot;nofollow&quot;&gt;Schismatic temperament&lt;/a&gt;&amp;lt;/ref&amp;gt; --><sup id="cite_ref-3" class="reference"><a href="#cite_note-3">[3]</a></sup><!-- ws:end:WikiTextRefRule:6 --> the <em><a class="wiki_link" href="/Magic%20family">Magic temperament</a></em> <!-- ws:start:WikiTextRefRule:8:&amp;lt;ref&amp;gt;&lt;a class=&quot;wiki_link_ext&quot; href=&quot;http://en.wikipedia.org/wiki/Magic_temperament&quot; rel=&quot;nofollow&quot;&gt;Magic temperament&lt;/a&gt;&amp;lt;/ref&amp;gt; --><sup id="cite_ref-4" class="reference"><a href="#cite_note-4">[4]</a></sup><!-- ws:end:WikiTextRefRule:8 --> and the superkleismic (41&amp;26) temperament. It is the second smallest equal temperament (after <a class="wiki_link" href="/29edo">29edo</a>) whose perfect fifth is closer to just intonation than that of <a class="wiki_link" href="/12edo">12-ET</a>, and is the seventh <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta%20EDO%20lists">zeta integral edo</a> after 31; it is not, however, a <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta%20EDO%20lists">zeta gap edo</a>. This has to do with the fact that it can deal with the <a class="wiki_link" href="/11-limit">11-limit</a> fairly well, and the <a class="wiki_link" href="/13-limit">13-limit</a> perhaps close enough for government work, though its <a class="wiki_link" href="/13_10">13/10</a> is 14 cents sharp.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextTocRule:19:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextTocRule:20: --><a href="#Intervals">Intervals</a><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --> | <a href="#Instruments">Instruments</a><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --> | <a href="#Harmonic Scale">Harmonic Scale</a><!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --> | <a href="#Nonoctave Temperaments">Nonoctave Temperaments</a><!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --> | <a href="#Links">Links</a><!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --> | <!-- ws:start:WikiTextTocRule:19:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextTocRule:20: --><a href="#Intervals">Intervals</a><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --> | <a href="#Instruments">Instruments</a><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --> | <a href="#Harmonic Scale">Harmonic Scale</a><!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --> | <a href="#Nonoctave Temperaments">Nonoctave Temperaments</a><!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --> | <a href="#Links">Links</a><!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --> | ||
| Line 172: | Line 172: | ||
</th> | </th> | ||
<th>generator for<br /> | <th>generator for<br /> | ||
</th> | |||
<th>some MOS and MODMOS Scales available<br /> | |||
</th> | </th> | ||
</tr> | </tr> | ||
| Line 180: | Line 182: | ||
</td> | </td> | ||
<td>do<br /> | <td>do<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 190: | Line 194: | ||
</td> | </td> | ||
<td>di<br /> | <td>di<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 200: | Line 206: | ||
</td> | </td> | ||
<td>ro<br /> | <td>ro<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 212: | Line 220: | ||
</td> | </td> | ||
<td>88cET (approx) / <a class="wiki_link" href="/octacot">octacot</a><br /> | <td>88cET (approx) / <a class="wiki_link" href="/octacot">octacot</a><br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 222: | Line 232: | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Miracle">Miracle</a><br /> | <td><a class="wiki_link" href="/Miracle">Miracle</a><br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 232: | Line 244: | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Bohlen-Pierce">Bohlen-Pierce</a>/<a class="wiki_link" href="/bohpier">bohpier</a><br /> | <td><a class="wiki_link" href="/Bohlen-Pierce">Bohlen-Pierce</a>/<a class="wiki_link" href="/bohpier">bohpier</a><br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 242: | Line 256: | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Tetracot">Tetracot</a>/<a class="wiki_link" href="/bunya">bunya</a>/<a class="wiki_link" href="/monkey">monkey</a><br /> | <td><a class="wiki_link" href="/Tetracot">Tetracot</a>/<a class="wiki_link" href="/bunya">bunya</a>/<a class="wiki_link" href="/monkey">monkey</a><br /> | ||
</td> | |||
<td>13-tone MOS: 1 5 1 5 1 5 1 5 5 1 5 1 5<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 252: | Line 268: | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | |||
<td>11-tone MOS: 6 1 6 6 1 6 1 6 1 6 1<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 262: | Line 280: | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Rodan">Rodan</a>/<a class="wiki_link" href="/guiron">guiron</a><br /> | <td><a class="wiki_link" href="/Rodan">Rodan</a>/<a class="wiki_link" href="/guiron">guiron</a><br /> | ||
</td> | |||
<td>11-tone MOS: 7 1 7 1 7 1 7 1 1 7 1<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 272: | Line 292: | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Septimin">Septimin</a><br /> | <td><a class="wiki_link" href="/Septimin">Septimin</a><br /> | ||
</td> | |||
<td>9-tone MOS: 5 4 5 5 4 5 4 5 4<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 280: | Line 302: | ||
</td> | </td> | ||
<td>meh<br /> | <td>meh<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 292: | Line 316: | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Superkleismic">Superkleismic</a><br /> | <td><a class="wiki_link" href="/Superkleismic">Superkleismic</a><br /> | ||
</td> | |||
<td>11-tone MOS: 5 3 5 3 3 5 3 3 5 3 3<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 302: | Line 328: | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Hemififths">Hemififths</a>/<a class="wiki_link" href="/karadeniz">karadeniz</a><br /> | <td><a class="wiki_link" href="/Hemififths">Hemififths</a>/<a class="wiki_link" href="/karadeniz">karadeniz</a><br /> | ||
</td> | |||
<td>10-tone MOS: 5 2 5 5 2 5 5 5 2 5<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 312: | Line 340: | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Magic">Magic</a>/<a class="wiki_link" href="/witchcraft">witchcraft</a><br /> | <td><a class="wiki_link" href="/Magic">Magic</a>/<a class="wiki_link" href="/witchcraft">witchcraft</a><br /> | ||
</td> | |||
<td>10-tone MOS: 2 9 2 2 9 2 2 9 2 2<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 322: | Line 352: | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Hocus">Hocus</a><br /> | <td><a class="wiki_link" href="/Hocus">Hocus</a><br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 332: | Line 364: | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | |||
<td>11-tone MOS: 4 3 4 4 4 3 4 4 3 4 4<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 340: | Line 374: | ||
</td> | </td> | ||
<td>fe<br /> | <td>fe<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 352: | Line 388: | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Schismatic">Schismatic</a> (<a class="wiki_link" href="/helmholtz">helmholtz</a>, <a class="wiki_link" href="/Garibaldi%20temperament">garibaldi</a>, <a class="wiki_link" href="/cassandra">cassandra</a>)<br /> | <td><a class="wiki_link" href="/Schismatic">Schismatic</a> (<a class="wiki_link" href="/helmholtz">helmholtz</a>, <a class="wiki_link" href="/Garibaldi%20temperament">garibaldi</a>, <a class="wiki_link" href="/cassandra">cassandra</a>)<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 362: | Line 400: | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | |||
<td>9-tone MOS: 5 5 3 5 5 5 5 3 5<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 370: | Line 410: | ||
</td> | </td> | ||
<td>fu<br /> | <td>fu<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 382: | Line 424: | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Pluto">Pluto</a><br /> | <td><a class="wiki_link" href="/Pluto">Pluto</a><br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 390: | Line 434: | ||
</td> | </td> | ||
<td>se<br /> | <td>se<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 400: | Line 446: | ||
</td> | </td> | ||
<td>su<br /> | <td>su<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 410: | Line 458: | ||
</td> | </td> | ||
<td>sih<br /> | <td>sih<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 420: | Line 470: | ||
</td> | </td> | ||
<td>sol<br /> | <td>sol<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 430: | Line 482: | ||
</td> | </td> | ||
<td>si<br /> | <td>si<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 440: | Line 494: | ||
</td> | </td> | ||
<td>lo<br /> | <td>lo<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 450: | Line 506: | ||
</td> | </td> | ||
<td>leh<br /> | <td>leh<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 460: | Line 518: | ||
</td> | </td> | ||
<td>le<br /> | <td>le<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 470: | Line 530: | ||
</td> | </td> | ||
<td>lu<br /> | <td>lu<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 480: | Line 542: | ||
</td> | </td> | ||
<td>la<br /> | <td>la<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 490: | Line 554: | ||
</td> | </td> | ||
<td>laa<br /> | <td>laa<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 500: | Line 566: | ||
</td> | </td> | ||
<td>li<br /> | <td>li<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 510: | Line 578: | ||
</td> | </td> | ||
<td>ta<br /> | <td>ta<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 520: | Line 590: | ||
</td> | </td> | ||
<td>teh<br /> | <td>teh<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 530: | Line 602: | ||
</td> | </td> | ||
<td>te<br /> | <td>te<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 540: | Line 614: | ||
</td> | </td> | ||
<td>tu<br /> | <td>tu<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 550: | Line 626: | ||
</td> | </td> | ||
<td>ti<br /> | <td>ti<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 560: | Line 638: | ||
</td> | </td> | ||
<td>taa<br /> | <td>taa<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 570: | Line 650: | ||
</td> | </td> | ||
<td>to<br /> | <td>to<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 580: | Line 662: | ||
</td> | </td> | ||
<td>da<br /> | <td>da<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 588: | Line 672: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:11:&lt;h1&gt; --><h1 id="toc1"><a name="Instruments"></a><!-- ws:end:WikiTextHeadingRule:11 -->Instruments</h1> | <!-- ws:start:WikiTextHeadingRule:11:&lt;h1&gt; --><h1 id="toc1"><a name="Instruments"></a><!-- ws:end:WikiTextHeadingRule:11 -->Instruments</h1> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:1601:&lt;img src=&quot;/file/view/Ron_Sword_with_a_41ET_Guitar.jpg/221056094/Ron_Sword_with_a_41ET_Guitar.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/Ron_Sword_with_a_41ET_Guitar.jpg/221056094/Ron_Sword_with_a_41ET_Guitar.jpg" alt="Ron_Sword_with_a_41ET_Guitar.jpg" title="Ron_Sword_with_a_41ET_Guitar.jpg" /><!-- ws:end:WikiTextLocalImageRule:1601 --><br /> | ||
<em>41-EDO Classical guitar, by Ron Sword.</em><br /> | <em>41-EDO Classical guitar, by Ron Sword.</em><br /> | ||
<br /> | <br /> | ||
| Line 1,676: | Line 1,760: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:17:&lt;h1&gt; --><h1 id="toc4"><a name="Links"></a><!-- ws:end:WikiTextHeadingRule:17 -->Links</h1> | <!-- ws:start:WikiTextHeadingRule:17:&lt;h1&gt; --><h1 id="toc4"><a name="Links"></a><!-- ws:end:WikiTextHeadingRule:17 -->Links</h1> | ||
<ul><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/41_equal_temperament" rel="nofollow">Wikipedia article on 41edo</a></li><li><a class="wiki_link" href="/Magic22%20as%20srutis#magic22assrutis">Magic22 as srutis</a> describes a possible use of 41edo for <a class="wiki_link" href="/indian">indian</a> music.</li><li>see also <a class="wiki_link" href="/Magic%20family">Magic family</a></li><li>Sword, Ron.<a class="wiki_link_ext" href="http://www.ronsword.com" rel="nofollow" target="_blank"> &quot;Tetracontamonophonic Scales for Guitar&quot;</a></li></ul><!-- ws:start:WikiTextReferencesRule: | <ul><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/41_equal_temperament" rel="nofollow">Wikipedia article on 41edo</a></li><li><a class="wiki_link" href="/Magic22%20as%20srutis#magic22assrutis">Magic22 as srutis</a> describes a possible use of 41edo for <a class="wiki_link" href="/indian">indian</a> music.</li><li>see also <a class="wiki_link" href="/Magic%20family">Magic family</a></li><li>Sword, Ron.<a class="wiki_link_ext" href="http://www.ronsword.com" rel="nofollow" target="_blank"> &quot;Tetracontamonophonic Scales for Guitar&quot;</a></li></ul><!-- ws:start:WikiTextReferencesRule:2357: --><hr class="references" /><ol class="references"> | ||
<li id="cite_note-1"><a href="#cite_ref-1">^</a> <a class="wiki_link_ext" href="http://x31eq.com/schismic.htm" rel="nofollow">&quot;Schismic Temperaments&quot;</a> at x31eq.com the websize of <a class="wiki_link" href="/Graham%20Breed">Graham Breed</a></li> | <li id="cite_note-1"><a href="#cite_ref-1">^</a> <a class="wiki_link_ext" href="http://x31eq.com/schismic.htm" rel="nofollow">&quot;Schismic Temperaments&quot;</a> at x31eq.com the websize of <a class="wiki_link" href="/Graham%20Breed">Graham Breed</a></li> | ||
<li id="cite_note-2"><a href="#cite_ref-2">^</a> <a class="wiki_link_ext" href="http://x31eq.com/decimal_lattice.htm" rel="nofollow">&quot;Lattices with Decimal Notation&quot;</a> at x31eq.com</li> | <li id="cite_note-2"><a href="#cite_ref-2">^</a> <a class="wiki_link_ext" href="http://x31eq.com/decimal_lattice.htm" rel="nofollow">&quot;Lattices with Decimal Notation&quot;</a> at x31eq.com</li> | ||
<li id="cite_note-3"><a href="#cite_ref-3">^</a> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Schismatic_temperament" rel="nofollow">Schismatic temperament</a></li> | <li id="cite_note-3"><a href="#cite_ref-3">^</a> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Schismatic_temperament" rel="nofollow">Schismatic temperament</a></li> | ||
<li id="cite_note-4"><a href="#cite_ref-4">^</a> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Magic_temperament" rel="nofollow">Magic temperament</a></li> | <li id="cite_note-4"><a href="#cite_ref-4">^</a> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Magic_temperament" rel="nofollow">Magic temperament</a></li> | ||
</ol><!-- ws:end:WikiTextReferencesRule: | </ol><!-- ws:end:WikiTextReferencesRule:2357 --></body></html></pre></div> | ||