7/4: Difference between revisions
Wikispaces>xenwolf **Imported revision 165520017 - Original comment: some edos added, diff in cents are todo** |
Wikispaces>xenwolf **Imported revision 165610021 - 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:xenwolf|xenwolf]] and made on <tt>2010-09- | : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2010-09-27 02:56:42 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>165610021</tt>.<br> | ||
: The revision comment was: <tt> | : 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> | ||
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=Approximations= | =Approximations= | ||
Edos containing good approximations of the interval 7:4 are: | Edos containing good approximations of the interval 7:4 are: | ||
* [[5edo]] | * (edo, delta, multiples) | ||
* [[21edo]] | * [[5edo]], 8.8259 ct, [[10edo|10]], [[15edo|15]], [[20edo|20]], [[25edo|25]] | ||
* [[26edo]] | * [[21edo]], 2.6026 ct | ||
* [[31edo]] | * [[26edo]], 0.40486 ct | ||
* [[47edo]] | * [[31edo]], 1.0839 ct | ||
* [[ | * [[47edo]], 1.3868 ct, [[94edo]] | ||
* [[ | * [[57edo]], 0.4048 ct | ||
* [[83edo]]</pre></div> | * [[78edo]], 0.4048 ct | ||
* [[83edo]], 0.1512 ct, [[166edo]] | |||
* [[88edo]], 0.644 ct</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>7_4</title></head><body>Frequency ratio 7:4, measuring approximately 968.8259064691249 cents, has been given the name &quot;harmonic seventh.&quot; It represents the interval between the 4th and 7th harmonics in the <a class="wiki_link" href="/OverToneSeries">overtone series</a>. It is also called a &quot;septimal subminor seventh&quot; -- the word &quot;septimal&quot; referring to the presence of a 7 as the highest prime in the ratio, and the word &quot;subminor&quot; referring to the harmonic seventh's narrowness compared with a traditional minor seventh (such as <a class="wiki_link" href="/9_5">9:5</a> or <a class="wiki_link" href="/16_9">16:9</a>, <a class="wiki_link" href="/12edo">12edo</a>'s 1000-cent interval, or a minor seventh found in a meantone system).<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>7_4</title></head><body>Frequency ratio 7:4, measuring approximately 968.8259064691249 cents, has been given the name &quot;harmonic seventh.&quot; It represents the interval between the 4th and 7th harmonics in the <a class="wiki_link" href="/OverToneSeries">overtone series</a>. It is also called a &quot;septimal subminor seventh&quot; -- the word &quot;septimal&quot; referring to the presence of a 7 as the highest prime in the ratio, and the word &quot;subminor&quot; referring to the harmonic seventh's narrowness compared with a traditional minor seventh (such as <a class="wiki_link" href="/9_5">9:5</a> or <a class="wiki_link" href="/16_9">16:9</a>, <a class="wiki_link" href="/12edo">12edo</a>'s 1000-cent interval, or a minor seventh found in a meantone system).<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Approximations"></a><!-- ws:end:WikiTextHeadingRule:4 -->Approximations</h1> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Approximations"></a><!-- ws:end:WikiTextHeadingRule:4 -->Approximations</h1> | ||
Edos containing good approximations of the interval 7:4 are:<br /> | Edos containing good approximations of the interval 7:4 are:<br /> | ||
<ul><li><a class="wiki_link" href="/5edo">5edo</a> | <ul><li>(edo, delta, multiples)</li><li><a class="wiki_link" href="/5edo">5edo</a>, 8.8259 ct, <a class="wiki_link" href="/10edo">10</a>, <a class="wiki_link" href="/15edo">15</a>, <a class="wiki_link" href="/20edo">20</a>, <a class="wiki_link" href="/25edo">25</a></li><li><a class="wiki_link" href="/21edo">21edo</a>, 2.6026 ct</li><li><a class="wiki_link" href="/26edo">26edo</a>, 0.40486 ct</li><li><a class="wiki_link" href="/31edo">31edo</a>, 1.0839 ct</li><li><a class="wiki_link" href="/47edo">47edo</a>, 1.3868 ct, <a class="wiki_link" href="/94edo">94edo</a></li><li><a class="wiki_link" href="/57edo">57edo</a>, 0.4048 ct</li><li><a class="wiki_link" href="/78edo">78edo</a>, 0.4048 ct</li><li><a class="wiki_link" href="/83edo">83edo</a>, 0.1512 ct, <a class="wiki_link" href="/166edo">166edo</a></li><li><a class="wiki_link" href="/88edo">88edo</a>, 0.644 ct</li></ul></body></html></pre></div> | ||