Small comma: Difference between revisions
Wikispaces>genewardsmith **Imported revision 146380331 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 146400483 - 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:genewardsmith|genewardsmith]] and made on <tt>2010-06-01 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-06-01 23:54:10 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>146400483</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> | ||
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2401 / 2400 = |-5 -1 -2 4>: breedsma (0.721 cents) | 2401 / 2400 = |-5 -1 -2 4>: breedsma (0.721 cents) | ||
4375 / 4374 = |-1 -7 4 1>: ragisma (0.396 cents) | 4375 / 4374 = |-1 -7 4 1>: ragisma (0.396 cents) | ||
250047 / 250000 = |-4 6 -6 3>: landscape comma (0.325 cents)</pre></div> | 250047 / 250000 = |-4 6 -6 3>: landscape comma (0.325 cents) | ||
==11-limit commas== | |||
99 / 98 = |-1 2 0 2 1>: mothwellsma (17.576 cents) | |||
100 / 99 = |2 -2 2 0 -1>: ptolemisma (17.399 cents) | |||
121 / 120 = |-3 -1 -1 0 2>: biyatisma (14.367 cents) | |||
176 / 175 = |4 0 -2 -1 1>: valinorsma (9.865 cents) | |||
896 / 891 = |7 -4 0 1 -1>: pentacircle (9.688 cents) | |||
243 / 242 = |-1 5 0 0 -2>: rastma (7.139 cents) | |||
385 / 384 = |-7 -1 1 1 1>: unidecma (4.503 cents) | |||
441 / 440 = |-3 2 -1 2 -1>: werckisma (3.930 cents) | |||
540 / 539 = |2 3 1 -2 -1>: swetisma (3.209 cents) | |||
3025 / 3024 = |-4 -3 2 -1 2>: lehmerisma (0.572 cents) | |||
9801 / 9800 = |-3 4 -2 -2 2>: kalisma, Gauss' comma (0.177 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"><html><head><title>Comma</title></head><body>A <strong>comma</strong> 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 <a class="wiki_link" href="/Harmonic%20Limit">low prime limit</a>. The word is often used in reference to <a class="wiki_link" href="/Regular%20Temperaments">regular tempering</a> when the comma is <em>tempered out</em>, which is to say reduced to a unison, by the temperament. For example the Didymos comma of 81/80 is tempered out by <a class="wiki_link" href="/Meantone">meantone temperament</a>. <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>Comma</title></head><body>A <strong>comma</strong> 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 <a class="wiki_link" href="/Harmonic%20Limit">low prime limit</a>. The word is often used in reference to <a class="wiki_link" href="/Regular%20Temperaments">regular tempering</a> when the comma is <em>tempered out</em>, which is to say reduced to a unison, by the temperament. For example the Didymos comma of 81/80 is tempered out by <a class="wiki_link" href="/Meantone">meantone temperament</a>. <br /> | ||
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2401 / 2400 = |-5 -1 -2 4&gt;: breedsma (0.721 cents)<br /> | 2401 / 2400 = |-5 -1 -2 4&gt;: breedsma (0.721 cents)<br /> | ||
4375 / 4374 = |-1 -7 4 1&gt;: ragisma (0.396 cents)<br /> | 4375 / 4374 = |-1 -7 4 1&gt;: ragisma (0.396 cents)<br /> | ||
250047 / 250000 = |-4 6 -6 3&gt;: landscape comma (0.325 cents)</body></html></pre></div> | 250047 / 250000 = |-4 6 -6 3&gt;: landscape comma (0.325 cents)<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="x-11-limit commas"></a><!-- ws:end:WikiTextHeadingRule:6 -->11-limit commas</h2> | |||
<br /> | |||
99 / 98 = |-1 2 0 2 1&gt;: mothwellsma (17.576 cents)<br /> | |||
100 / 99 = |2 -2 2 0 -1&gt;: ptolemisma (17.399 cents)<br /> | |||
121 / 120 = |-3 -1 -1 0 2&gt;: biyatisma (14.367 cents)<br /> | |||
176 / 175 = |4 0 -2 -1 1&gt;: valinorsma (9.865 cents)<br /> | |||
896 / 891 = |7 -4 0 1 -1&gt;: pentacircle (9.688 cents)<br /> | |||
243 / 242 = |-1 5 0 0 -2&gt;: rastma (7.139 cents)<br /> | |||
385 / 384 = |-7 -1 1 1 1&gt;: unidecma (4.503 cents)<br /> | |||
441 / 440 = |-3 2 -1 2 -1&gt;: werckisma (3.930 cents)<br /> | |||
540 / 539 = |2 3 1 -2 -1&gt;: swetisma (3.209 cents)<br /> | |||
3025 / 3024 = |-4 -3 2 -1 2&gt;: lehmerisma (0.572 cents)<br /> | |||
9801 / 9800 = |-3 4 -2 -2 2&gt;: kalisma, Gauss' comma (0.177 cents)</body></html></pre></div> | |||