Small comma: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 146154255 - Original comment: **
Wikispaces>xenwolf
**Imported revision 146155654 - Original comment: some numbers added, 7-limit section started**
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>2010-06-01 02:35:17 UTC</tt>.<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2010-06-01 02:49:38 UTC</tt>.<br>
: The original revision id was <tt>146154255</tt>.<br>
: The original revision id was <tt>146155654</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt>some numbers added, 7-limit section started</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>
Line 37: Line 37:
|8 14 -13&gt;: parakleisma (5.292 cents)
|8 14 -13&gt;: parakleisma (5.292 cents)
|24 -21 4&gt;: vulture (4.200 cents)
|24 -21 4&gt;: vulture (4.200 cents)
|23 6 -14&gt;: semisuper comma (3.338 cents)
6115295232 / 6103515625 = |23 6 -14&gt;: semisuper comma (3.338 cents)
|-14 -19 19&gt;: enneadeca, 19-tone-comma (2.816 cents)
|-14 -19 19&gt;: enneadeca, 19-tone-comma (2.816 cents)
|39 -29 3&gt;: tricot comma (2.246 cents)
|39 -29 3&gt;: tricot comma (2.246 cents)
32805 / 32768 = |-15 8 1&gt;: schisma (1.954 cents)
32805 / 32768 = |-15 8 1&gt;: schisma (1.954 cents)
|38 -2 -15&gt;: hemithirds comma (1.384 cents)
274877906944 / 274658203125 = |38 -2 -15&gt;: hemithirds comma (1.384 cents)
|-16 35 -17&gt;: minortone comma (1.092 cents)
|-16 35 -17&gt;: minortone comma (1.092 cents)
|1 -27 18&gt;: ennealimma (0.862 cents)
7629394531250 / 7625597484987 = |1 -27 18&gt;: ennealimma (0.862 cents)
|-53 10 16&gt;: kwazy comma (0.569 cents)
|-53 10 16&gt;: kwazy comma (0.569 cents)
|54 -37 2&gt;: monzisma (0.292 cents)
|54 -37 2&gt;: monzisma (0.292 cents)


</pre></div>
==7-limit commas==
 
64 /63 = |6 -2 0 -1&gt;: Septimal comma, Archytas' comma ("Leipziger Komma") (27.264 cents)</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Comma&lt;/title&gt;&lt;/head&gt;&lt;body&gt;A &lt;strong&gt;comma&lt;/strong&gt; is a small just interval, greater than 1 and not a power such as a square or cube of any other interval, generally in a &lt;a class="wiki_link" href="/Harmonic%20Limit"&gt;low prime limit&lt;/a&gt;. The word is often used in reference to &lt;a class="wiki_link" href="/Regular%20Temperaments"&gt;regular tempering&lt;/a&gt; when the comma is &lt;em&gt;tempered out&lt;/em&gt;, which is to say reduced to a unison, by the temperament. For example the Didymos comma of 81/80 is tempered out by &lt;a class="wiki_link" href="/Meantone"&gt;meantone temperament&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;Comma&lt;/title&gt;&lt;/head&gt;&lt;body&gt;A &lt;strong&gt;comma&lt;/strong&gt; is a small just interval, greater than 1 and not a power such as a square or cube of any other interval, generally in a &lt;a class="wiki_link" href="/Harmonic%20Limit"&gt;low prime limit&lt;/a&gt;. The word is often used in reference to &lt;a class="wiki_link" href="/Regular%20Temperaments"&gt;regular tempering&lt;/a&gt; when the comma is &lt;em&gt;tempered out&lt;/em&gt;, which is to say reduced to a unison, by the temperament. For example the Didymos comma of 81/80 is tempered out by &lt;a class="wiki_link" href="/Meantone"&gt;meantone temperament&lt;/a&gt;. &lt;br /&gt;
Line 80: Line 82:
|8 14 -13&amp;gt;: parakleisma (5.292 cents)&lt;br /&gt;
|8 14 -13&amp;gt;: parakleisma (5.292 cents)&lt;br /&gt;
|24 -21 4&amp;gt;: vulture (4.200 cents)&lt;br /&gt;
|24 -21 4&amp;gt;: vulture (4.200 cents)&lt;br /&gt;
|23 6 -14&amp;gt;: semisuper comma (3.338 cents)&lt;br /&gt;
6115295232 / 6103515625 = |23 6 -14&amp;gt;: semisuper comma (3.338 cents)&lt;br /&gt;
|-14 -19 19&amp;gt;: enneadeca, 19-tone-comma (2.816 cents)&lt;br /&gt;
|-14 -19 19&amp;gt;: enneadeca, 19-tone-comma (2.816 cents)&lt;br /&gt;
|39 -29 3&amp;gt;: tricot comma (2.246 cents)&lt;br /&gt;
|39 -29 3&amp;gt;: tricot comma (2.246 cents)&lt;br /&gt;
32805 / 32768 = |-15 8 1&amp;gt;: schisma (1.954 cents)&lt;br /&gt;
32805 / 32768 = |-15 8 1&amp;gt;: schisma (1.954 cents)&lt;br /&gt;
|38 -2 -15&amp;gt;: hemithirds comma (1.384 cents)&lt;br /&gt;
274877906944 / 274658203125 = |38 -2 -15&amp;gt;: hemithirds comma (1.384 cents)&lt;br /&gt;
|-16 35 -17&amp;gt;: minortone comma (1.092 cents)&lt;br /&gt;
|-16 35 -17&amp;gt;: minortone comma (1.092 cents)&lt;br /&gt;
|1 -27 18&amp;gt;: ennealimma (0.862 cents)&lt;br /&gt;
7629394531250 / 7625597484987 = |1 -27 18&amp;gt;: ennealimma (0.862 cents)&lt;br /&gt;
|-53 10 16&amp;gt;: kwazy comma (0.569 cents)&lt;br /&gt;
|-53 10 16&amp;gt;: kwazy comma (0.569 cents)&lt;br /&gt;
|54 -37 2&amp;gt;: monzisma (0.292 cents)&lt;/body&gt;&lt;/html&gt;</pre></div>
|54 -37 2&amp;gt;: monzisma (0.292 cents)&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x-7-limit commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;7-limit commas&lt;/h2&gt;
&lt;br /&gt;
64 /63 = |6 -2 0 -1&amp;gt;: Septimal comma, Archytas' comma (&amp;quot;Leipziger Komma&amp;quot;) (27.264 cents)&lt;/body&gt;&lt;/html&gt;</pre></div>