Toctave: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Wikispaces>genewardsmith
**Imported revision 244714793 - Original comment: **
Wikispaces>xenwolf
**Imported revision 244836237 - Original comment: it's only a starting point**
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:genewardsmith|genewardsmith]] and made on <tt>2011-08-07 14:00:17 UTC</tt>.<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-08-08 10:43:29 UTC</tt>.<br>
: The original revision id was <tt>244714793</tt>.<br>
: The original revision id was <tt>244836237</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt>it's only a starting point</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">
<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">
**Toctave** (short for "True Octave"?) is a frequency ratio of 27 * 2^(1/4) / 16, which is 1205.865 cents.
**Toctave** (short for "True Octave"?) is a frequency ratio of 27 * 2^(1/4) / 16 (ca. 1205.865 cents) that belongs to the concept of [[musical cells]].


[[math]]
[[math]]
Line 21: Line 21:
<h4>Original HTML content:</h4>
<h4>Original HTML content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Toctave&lt;/title&gt;&lt;/head&gt;&lt;body&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;Toctave&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;br /&gt;
&lt;strong&gt;Toctave&lt;/strong&gt; (short for &amp;quot;True Octave&amp;quot;?) is a frequency ratio of 27 * 2^(1/4) / 16, which is 1205.865 cents.&lt;br /&gt;
&lt;strong&gt;Toctave&lt;/strong&gt; (short for &amp;quot;True Octave&amp;quot;?) is a frequency ratio of 27 * 2^(1/4) / 16 (ca. 1205.865 cents) that belongs to the concept of &lt;a class="wiki_link" href="/musical%20cells"&gt;musical cells&lt;/a&gt;.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextMathRule:0:
&lt;!-- ws:start:WikiTextMathRule:0:
Line 31: Line 31:
&lt;br /&gt;
&lt;br /&gt;
Threads/Folders on the tuning list:&lt;br /&gt;
Threads/Folders on the tuning list:&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;!-- ws:start:WikiTextUrlRule:17:http://launch.groups.yahoo.com/group/tuning/message/100919 --&gt;&lt;a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/100919" rel="nofollow"&gt;http://launch.groups.yahoo.com/group/tuning/message/100919&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:17 --&gt; - &amp;quot;The True Octave&amp;quot;&lt;/li&gt;&lt;li&gt;&lt;!-- ws:start:WikiTextUrlRule:18:http://launch.groups.yahoo.com/group/tuning/message/101004 --&gt;&lt;a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/101004" rel="nofollow"&gt;http://launch.groups.yahoo.com/group/tuning/message/101004&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:18 --&gt; - &amp;quot;A new equal tempered scale?&amp;quot;&lt;/li&gt;&lt;li&gt;&lt;!-- ws:start:WikiTextUrlRule:19:http://launch.groups.yahoo.com/group/tuning/files/MarioPizarro/ --&gt;&lt;a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/files/MarioPizarro/" rel="nofollow"&gt;http://launch.groups.yahoo.com/group/tuning/files/MarioPizarro/&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:19 --&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;ul&gt;&lt;li&gt;&lt;!-- ws:start:WikiTextUrlRule:18:http://launch.groups.yahoo.com/group/tuning/message/100919 --&gt;&lt;a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/100919" rel="nofollow"&gt;http://launch.groups.yahoo.com/group/tuning/message/100919&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:18 --&gt; - &amp;quot;The True Octave&amp;quot;&lt;/li&gt;&lt;li&gt;&lt;!-- ws:start:WikiTextUrlRule:19:http://launch.groups.yahoo.com/group/tuning/message/101004 --&gt;&lt;a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/101004" rel="nofollow"&gt;http://launch.groups.yahoo.com/group/tuning/message/101004&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:19 --&gt; - &amp;quot;A new equal tempered scale?&amp;quot;&lt;/li&gt;&lt;li&gt;&lt;!-- ws:start:WikiTextUrlRule:20:http://launch.groups.yahoo.com/group/tuning/files/MarioPizarro/ --&gt;&lt;a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/files/MarioPizarro/" rel="nofollow"&gt;http://launch.groups.yahoo.com/group/tuning/files/MarioPizarro/&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:20 --&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 10:43, 8 August 2011

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 2011-08-08 10:43:29 UTC.
The original revision id was 244836237.
The revision comment was: it's only a starting point

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

Original Wikitext content:

**Toctave** (short for "True Octave"?) is a frequency ratio of 27 * 2^(1/4) / 16 (ca. 1205.865 cents) that belongs to the concept of [[musical cells]].

[[math]]
Toctave=\frac{27}{16}\sqrt[4]{2} \approx 2.0067870065670918\dots
[[math]]

This is 1/4 of a Pythagorean comma sharp.

Threads/Folders on the tuning list:
* http://launch.groups.yahoo.com/group/tuning/message/100919 - "The True Octave"
* http://launch.groups.yahoo.com/group/tuning/message/101004 - "A new equal tempered scale?"
* http://launch.groups.yahoo.com/group/tuning/files/MarioPizarro/

Original HTML content:

<html><head><title>Toctave</title></head><body><br />
<strong>Toctave</strong> (short for &quot;True Octave&quot;?) is a frequency ratio of 27 * 2^(1/4) / 16 (ca. 1205.865 cents) that belongs to the concept of <a class="wiki_link" href="/musical%20cells">musical cells</a>.<br />
<br />
<!-- ws:start:WikiTextMathRule:0:
[[math]]&lt;br/&gt;
Toctave=\frac{27}{16}\sqrt[4]{2} \approx 2.0067870065670918\dots&lt;br/&gt;[[math]]
 --><script type="math/tex">Toctave=\frac{27}{16}\sqrt[4]{2} \approx 2.0067870065670918\dots</script><!-- ws:end:WikiTextMathRule:0 --><br />
<br />
This is 1/4 of a Pythagorean comma sharp.<br />
<br />
Threads/Folders on the tuning list:<br />
<ul><li><!-- ws:start:WikiTextUrlRule:18:http://launch.groups.yahoo.com/group/tuning/message/100919 --><a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/100919" rel="nofollow">http://launch.groups.yahoo.com/group/tuning/message/100919</a><!-- ws:end:WikiTextUrlRule:18 --> - &quot;The True Octave&quot;</li><li><!-- ws:start:WikiTextUrlRule:19:http://launch.groups.yahoo.com/group/tuning/message/101004 --><a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/101004" rel="nofollow">http://launch.groups.yahoo.com/group/tuning/message/101004</a><!-- ws:end:WikiTextUrlRule:19 --> - &quot;A new equal tempered scale?&quot;</li><li><!-- ws:start:WikiTextUrlRule:20:http://launch.groups.yahoo.com/group/tuning/files/MarioPizarro/ --><a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/files/MarioPizarro/" rel="nofollow">http://launch.groups.yahoo.com/group/tuning/files/MarioPizarro/</a><!-- ws:end:WikiTextUrlRule:20 --></li></ul></body></html>