41edo: Difference between revisions
Wikispaces>xenwolf **Imported revision 163866597 - Original comment: ** |
Wikispaces>guest **Imported revision 171862041 - Original comment: ** |
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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: | : This revision was by author [[User:guest|guest]] and made on <tt>2010-10-19 15:13:14 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>171862041</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> | ||
<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">The //41 equal temperament//, often abbreviated 41-tET, 41-EDO, or 41-ET, is the scale derived by dividing the octave into 41 equally-sized steps. | <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 //41 equal temperament//, often abbreviated 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 29.27 cents, an interval close in size to 64/63, the [[http://en.wikipedia.org/wiki/Septimal_comma|septimal comma]]. 41-ET can be seen as a tuning of the [[http://en.wikipedia.org/wiki/Schismatic_temperament|Garibaldi temperament]] <ref>[http://x31eq.com/schismic.htm "Schismic Temperaments "], ''Intonation Information''.</ref> , the [[http://en.wikipedia.org/wiki/Schismatic_temperament|miracle temperament]], <ref>[http://x31eq.com/decimal_lattice.htm "Lattices with Decimal Notation"], ''Intonation Information''.</ref> the [[http://en.wikipedia.org/wiki/Magic_temperament|magic temperament]] and the valentine (41&26) temperament. It is the second smallest equal temperament (after [[29edo]]) whose perfect fifth is closer to just intonation than that of 12-ET, and is the seventh [[http://www.research.att.com/%7Enjas/sequences/A117538|Zeta integral tuning]] after 31. The latter 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 is 14 cents sharp. | ||
==Nonoctave Temperaments== | |||
Taking every third degree of 41edo produces a scale extremely close to [[88cET]] or 88-cent equal temperament (or the 8th root of 3:2). Likewise, taking every fifth degree produces a scale very close to the equal-tempered [[Bohlen-Pierce]] Scale (or the 13th root of 3). See chart: | |||
==Links== | |||||| 3 degrees of 41edo (near 88cET) || overlap |||||| 5 degrees of 41edo (near BP) || | ||
||~ deg of 41edo ||~ deg of 88cET ||~ cents ||~ cents ||~ cents ||~ deg of BP ||~ deg of 41edo || | |||
||= 0 ||= 0 ||= ||= 0 ||= ||= 0 ||= 0 || | |||
||= 3 ||= 1 ||= 87.8 ||= ||= ||= ||= || | |||
||= ||= ||= ||= ||= 146.3 ||= 1 ||= 5 || | |||
||= 6 ||= 2 ||= 175.6 ||= ||= ||= ||= || | |||
||= 9 ||= 3 ||= 263.4 ||= ||= ||= ||= || | |||
||= ||= ||= ||= ||= 292.7 ||= 2 ||= 10 || | |||
||= 12 ||= 4 ||= 351.2 ||= ||= ||= ||= || | |||
||= 15 ||= 5 ||= ||= 439.0 ||= ||= 3 ||= 15 || | |||
||= 18 ||= 6 ||= 526.8 ||= ||= ||= ||= || | |||
||= ||= ||= ||= ||= 585.4 ||= 4 ||= 20 || | |||
||= 21 ||= 7 ||= 614.6 ||= ||= ||= ||= || | |||
||= 24 ||= 8 ||= 702.4 ||= ||= ||= ||= || | |||
||= ||= ||= ||= ||= 731.7 ||= 5 ||= 25 || | |||
||= 27 ||= 9 ||= 790.2 ||= ||= ||= ||= || | |||
||= 30 ||= 10 ||= ||= 878.0 ||= ||= 6 ||= 30 || | |||
||= 33 ||= 11 ||= 965.9 ||= ||= ||= ||= || | |||
||= ||= ||= ||= ||= 1024.4 ||= 7 ||= 35 || | |||
||= 36 ||= 12 ||= 1053.7 ||= ||= ||= ||= || | |||
||= 39 ||= 13 ||= 1141.5 ||= ||= ||= ||= || | |||
||= ||= ||= ||= ||= 1170.7 ||= 8 ||= 40 || | |||
||||||||||||||~ [ second octave ] || | |||
||= 1 ||= 14 ||= 29.2 ||= ||= ||= ||= || | |||
||= 4 ||= 15 ||= ||= 117.1 ||= ||= 9 ||= 4 || | |||
||= 7 ||= 16 ||= 204.9 ||= ||= ||= ||= || | |||
||= ||= ||= ||= ||= 263.4 ||= 10 ||= 9 || | |||
||= 10 ||= 17 ||= 292.7 ||= ||= ||= ||= || | |||
||= 13 ||= 18 ||= 380.5 ||= ||= ||= ||= || | |||
||= ||= ||= ||= ||= 409.8 ||= 11 ||= 14 || | |||
||= 16 ||= 19 ||= 468.3 ||= ||= ||= ||= || | |||
||= 19 ||= 20 ||= ||= 556.1 ||= ||= 12 ||= 19 || | |||
||= 22 ||= 21 ||= 643.9 ||= ||= ||= ||= || | |||
||= ||= ||= ||= ||= 702.4 ||= 13 ||= 24 || | |||
||= 25 ||= 22 ||= 731.7 ||= ||= ||= ||= || | |||
||= 28 ||= 23 ||= 819.5 ||= ||= ||= ||= || | |||
||= ||= ||= ||= ||= 848.8 ||= 14 ||= 29 || | |||
||= 31 ||= 24 ||= 907.3 ||= ||= ||= ||= || | |||
||= 34 ||= 25 ||= ||= 995.1 ||= ||= 15 ||= 34 || | |||
||= 37 ||= 26 ||= 1082.9 ||= ||= ||= ||= || | |||
||= ||= ||= ||= ||= 1141.5 ||= 16 ||= 39 || | |||
||= 40 ||= 27 ||= 1170.7 ||= ||= ||= ||= || | |||
||||||||||||||~ [ third octave ] || | |||
||= 2 ||= 28 ||= 58.5 ||= ||= ||= ||= || | |||
||= ||= ||= ||= ||= 87.8 ||= 17 ||= 3 || | |||
||= 5 ||= 29 ||= 146.3 ||= ||= ||= ||= || | |||
||= 8 ||= ||= ||= ||= ||= 18 ||= 8 || | |||
||= 11 ||= 30 ||= 322.0 ||= ||= ||= ||= || | |||
||= ||= ||= ||= ||= 380.5 ||= 19 ||= 13 || | |||
||= 14 ||= 31 ||= 409.8 ||= ||= ||= ||= || | |||
==Links== | |||
* [[http://en.wikipedia.org/wiki/41_equal_temperament|Wikipedia article on 41edo]] | * [[http://en.wikipedia.org/wiki/41_equal_temperament|Wikipedia article on 41edo]] | ||
* [[Magic22 as srutis#magic22assrutis]] describes a possible use of 41edo for [[indian]] music. | * [[Magic22 as srutis#magic22assrutis]] describes a possible use of 41edo for [[indian]] music. | ||
* see also [[Magic family]]</pre></div> | * see also [[Magic family]]</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"><html><head><title>41edo</title></head><body>The <em>41 equal temperament</em>, often abbreviated 41-tET, 41-EDO, or 41-ET, is the scale derived by dividing the octave into 41 equally-sized steps. | <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>The <em>41 equal temperament</em>, often abbreviated 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 29.27 cents, an interval close in size to 64/63, the <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Septimal_comma" rel="nofollow">septimal comma</a>. 41-ET can be seen as a tuning of the <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Schismatic_temperament" rel="nofollow">Garibaldi temperament</a> <!-- ws:start:WikiTextRefRule:1:&amp;lt;ref&amp;gt;[http://x31eq.com/schismic.htm &amp;quot;Schismic Temperaments &amp;quot;], ''Intonation Information''.&amp;lt;/ref&amp;gt; --><sup id="cite_ref-1" class="reference"><a href="#cite_note-1">[1]</a></sup><!-- ws:end:WikiTextRefRule:1 --> , the <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Schismatic_temperament" rel="nofollow">miracle temperament</a>, <!-- ws:start:WikiTextRefRule:3:&amp;lt;ref&amp;gt;[http://x31eq.com/decimal_lattice.htm &amp;quot;Lattices with Decimal Notation&amp;quot;], ''Intonation Information''.&amp;lt;/ref&amp;gt; --><sup id="cite_ref-2" class="reference"><a href="#cite_note-2">[2]</a></sup><!-- ws:end:WikiTextRefRule:3 --> the <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Magic_temperament" rel="nofollow">magic temperament</a> and the valentine (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 12-ET, and is the seventh <a class="wiki_link_ext" href="http://www.research.att.com/%7Enjas/sequences/A117538" rel="nofollow">Zeta integral tuning</a> after 31. The latter 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 is 14 cents sharp.<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc0"><a name="x-Nonoctave Temperaments"></a><!-- ws:end:WikiTextHeadingRule:4 -->Nonoctave Temperaments</h2> | |||
Taking every third degree of 41edo produces a scale extremely close to <a class="wiki_link" href="/88cET">88cET</a> or 88-cent equal temperament (or the 8th root of 3:2). Likewise, taking every fifth degree produces a scale very close to the equal-tempered <a class="wiki_link" href="/Bohlen-Pierce">Bohlen-Pierce</a> Scale (or the 13th root of 3). See chart:<br /> | |||
<br /> | |||
<table class="wiki_table"> | |||
<tr> | |||
<td colspan="3">3 degrees of 41edo (near 88cET)<br /> | |||
</td> | |||
<td>overlap<br /> | |||
</td> | |||
<td colspan="3">5 degrees of 41edo (near BP)<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<th>deg of 41edo<br /> | |||
</th> | |||
<th>deg of 88cET<br /> | |||
</th> | |||
<th>cents<br /> | |||
</th> | |||
<th>cents<br /> | |||
</th> | |||
<th>cents<br /> | |||
</th> | |||
<th>deg of BP<br /> | |||
</th> | |||
<th>deg of 41edo<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">0<br /> | |||
</td> | |||
<td style="text-align: center;">0<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">0<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">0<br /> | |||
</td> | |||
<td style="text-align: center;">0<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">3<br /> | |||
</td> | |||
<td style="text-align: center;">1<br /> | |||
</td> | |||
<td style="text-align: center;">87.8<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">146.3<br /> | |||
</td> | |||
<td style="text-align: center;">1<br /> | |||
</td> | |||
<td style="text-align: center;">5<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">6<br /> | |||
</td> | |||
<td style="text-align: center;">2<br /> | |||
</td> | |||
<td style="text-align: center;">175.6<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">9<br /> | |||
</td> | |||
<td style="text-align: center;">3<br /> | |||
</td> | |||
<td style="text-align: center;">263.4<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">292.7<br /> | |||
</td> | |||
<td style="text-align: center;">2<br /> | |||
</td> | |||
<td style="text-align: center;">10<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">12<br /> | |||
</td> | |||
<td style="text-align: center;">4<br /> | |||
</td> | |||
<td style="text-align: center;">351.2<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">15<br /> | |||
</td> | |||
<td style="text-align: center;">5<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">439.0<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">3<br /> | |||
</td> | |||
<td style="text-align: center;">15<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">18<br /> | |||
</td> | |||
<td style="text-align: center;">6<br /> | |||
</td> | |||
<td style="text-align: center;">526.8<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">585.4<br /> | |||
</td> | |||
<td style="text-align: center;">4<br /> | |||
</td> | |||
<td style="text-align: center;">20<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">21<br /> | |||
</td> | |||
<td style="text-align: center;">7<br /> | |||
</td> | |||
<td style="text-align: center;">614.6<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">24<br /> | |||
</td> | |||
<td style="text-align: center;">8<br /> | |||
</td> | |||
<td style="text-align: center;">702.4<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">731.7<br /> | |||
</td> | |||
<td style="text-align: center;">5<br /> | |||
</td> | |||
<td style="text-align: center;">25<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">27<br /> | |||
</td> | |||
<td style="text-align: center;">9<br /> | |||
</td> | |||
<td style="text-align: center;">790.2<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">30<br /> | |||
</td> | |||
<td style="text-align: center;">10<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">878.0<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">6<br /> | |||
</td> | |||
<td style="text-align: center;">30<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">33<br /> | |||
</td> | |||
<td style="text-align: center;">11<br /> | |||
</td> | |||
<td style="text-align: center;">965.9<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">1024.4<br /> | |||
</td> | |||
<td style="text-align: center;">7<br /> | |||
</td> | |||
<td style="text-align: center;">35<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">36<br /> | |||
</td> | |||
<td style="text-align: center;">12<br /> | |||
</td> | |||
<td style="text-align: center;">1053.7<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">39<br /> | |||
</td> | |||
<td style="text-align: center;">13<br /> | |||
</td> | |||
<td style="text-align: center;">1141.5<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">1170.7<br /> | |||
</td> | |||
<td style="text-align: center;">8<br /> | |||
</td> | |||
<td style="text-align: center;">40<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<th colspan="7">[ second octave ]<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">1<br /> | |||
</td> | |||
<td style="text-align: center;">14<br /> | |||
</td> | |||
<td style="text-align: center;">29.2<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">4<br /> | |||
</td> | |||
<td style="text-align: center;">15<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">117.1<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">9<br /> | |||
</td> | |||
<td style="text-align: center;">4<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">7<br /> | |||
</td> | |||
<td style="text-align: center;">16<br /> | |||
</td> | |||
<td style="text-align: center;">204.9<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">263.4<br /> | |||
</td> | |||
<td style="text-align: center;">10<br /> | |||
</td> | |||
<td style="text-align: center;">9<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">10<br /> | |||
</td> | |||
<td style="text-align: center;">17<br /> | |||
</td> | |||
<td style="text-align: center;">292.7<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">13<br /> | |||
</td> | |||
<td style="text-align: center;">18<br /> | |||
</td> | |||
<td style="text-align: center;">380.5<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">409.8<br /> | |||
</td> | |||
<td style="text-align: center;">11<br /> | |||
</td> | |||
<td style="text-align: center;">14<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">16<br /> | |||
</td> | |||
<td style="text-align: center;">19<br /> | |||
</td> | |||
<td style="text-align: center;">468.3<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">19<br /> | |||
</td> | |||
<td style="text-align: center;">20<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">556.1<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">12<br /> | |||
</td> | |||
<td style="text-align: center;">19<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">22<br /> | |||
</td> | |||
<td style="text-align: center;">21<br /> | |||
</td> | |||
<td style="text-align: center;">643.9<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">702.4<br /> | |||
</td> | |||
<td style="text-align: center;">13<br /> | |||
</td> | |||
<td style="text-align: center;">24<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">25<br /> | |||
</td> | |||
<td style="text-align: center;">22<br /> | |||
</td> | |||
<td style="text-align: center;">731.7<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">28<br /> | |||
</td> | |||
<td style="text-align: center;">23<br /> | |||
</td> | |||
<td style="text-align: center;">819.5<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">848.8<br /> | |||
</td> | |||
<td style="text-align: center;">14<br /> | |||
</td> | |||
<td style="text-align: center;">29<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">31<br /> | |||
</td> | |||
<td style="text-align: center;">24<br /> | |||
</td> | |||
<td style="text-align: center;">907.3<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">34<br /> | |||
</td> | |||
<td style="text-align: center;">25<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">995.1<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">15<br /> | |||
</td> | |||
<td style="text-align: center;">34<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">37<br /> | |||
</td> | |||
<td style="text-align: center;">26<br /> | |||
</td> | |||
<td style="text-align: center;">1082.9<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">1141.5<br /> | |||
</td> | |||
<td style="text-align: center;">16<br /> | |||
</td> | |||
<td style="text-align: center;">39<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">40<br /> | |||
</td> | |||
<td style="text-align: center;">27<br /> | |||
</td> | |||
<td style="text-align: center;">1170.7<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<th colspan="7">[ third octave ]<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">2<br /> | |||
</td> | |||
<td style="text-align: center;">28<br /> | |||
</td> | |||
<td style="text-align: center;">58.5<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">87.8<br /> | |||
</td> | |||
<td style="text-align: center;">17<br /> | |||
</td> | |||
<td style="text-align: center;">3<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">5<br /> | |||
</td> | |||
<td style="text-align: center;">29<br /> | |||
</td> | |||
<td style="text-align: center;">146.3<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">8<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">18<br /> | |||
</td> | |||
<td style="text-align: center;">8<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">11<br /> | |||
</td> | |||
<td style="text-align: center;">30<br /> | |||
</td> | |||
<td style="text-align: center;">322.0<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">380.5<br /> | |||
</td> | |||
<td style="text-align: center;">19<br /> | |||
</td> | |||
<td style="text-align: center;">13<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">14<br /> | |||
</td> | |||
<td style="text-align: center;">31<br /> | |||
</td> | |||
<td style="text-align: center;">409.8<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<br /> | <br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc1"><a name="x-Links"></a><!-- ws:end:WikiTextHeadingRule:6 -->Links</h2> | ||
<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></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></ul><!-- ws:start:WikiTextReferencesRule:1140: --><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">http://x31eq.com/schismic.htm</a> &quot;Schismic Temperaments &quot;], ''Intonation Information''.</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">http://x31eq.com/schismic.htm</a> &quot;Schismic Temperaments &quot;], ''Intonation Information''.</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">http://x31eq.com/decimal_lattice.htm</a> &quot;Lattices with Decimal Notation&quot;], ''Intonation Information''.</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">http://x31eq.com/decimal_lattice.htm</a> &quot;Lattices with Decimal Notation&quot;], ''Intonation Information''.</li> | ||
</ol><!-- ws:end:WikiTextReferencesRule: | </ol><!-- ws:end:WikiTextReferencesRule:1140 --></body></html></pre></div> | ||