Ed4: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 277964308 - Original comment: ** |
Wikispaces>hstraub **Imported revision 537095872 - 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:hstraub|hstraub]] and made on <tt>2015-01-13 05:53:01 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>537095872</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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ED4 scales also have the feature that they ascend the pitch continuum twice as fast as ED2 systems. 37 tones of 37ED2 is one octave, while 37 tones of ED4 is 2 octaves. Thus, fewer bars would be needed on a metallophone, fewer keys on a keyboard, etc. | ED4 scales also have the feature that they ascend the pitch continuum twice as fast as ED2 systems. 37 tones of 37ED2 is one octave, while 37 tones of ED4 is 2 octaves. Thus, fewer bars would be needed on a metallophone, fewer keys on a keyboard, etc. | ||
See: [[Equal Temperaments]]</pre></div> | See: [[Equal Temperaments]] | ||
=Individual pages for ED4s= | |||
[[33ed4]] | |||
[[37ed4]]</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>ed4</title></head><body>Equal Divisions of the Double Octave -- frequency ratio 4/1, aka &quot;Quadruple&quot; -- are closely related to Equal Divisions of the Octave -- frequency ratio 2/1, aka &quot;Duple&quot; -- in other words, ED2 or <a class="wiki_link" href="/EDO">EDO</a> scales. Given any odd-numbered ED2, an ED4 can be generated by taking every other tone of the ED2. For example, given 5ED2 (aka <a class="wiki_link" href="/5edo">5edo</a>), two octaves of which, in cents are:<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>ed4</title></head><body>Equal Divisions of the Double Octave -- frequency ratio 4/1, aka &quot;Quadruple&quot; -- are closely related to Equal Divisions of the Octave -- frequency ratio 2/1, aka &quot;Duple&quot; -- in other words, ED2 or <a class="wiki_link" href="/EDO">EDO</a> scales. Given any odd-numbered ED2, an ED4 can be generated by taking every other tone of the ED2. For example, given 5ED2 (aka <a class="wiki_link" href="/5edo">5edo</a>), two octaves of which, in cents are:<br /> | ||
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ED4 scales also have the feature that they ascend the pitch continuum twice as fast as ED2 systems. 37 tones of 37ED2 is one octave, while 37 tones of ED4 is 2 octaves. Thus, fewer bars would be needed on a metallophone, fewer keys on a keyboard, etc.<br /> | ED4 scales also have the feature that they ascend the pitch continuum twice as fast as ED2 systems. 37 tones of 37ED2 is one octave, while 37 tones of ED4 is 2 octaves. Thus, fewer bars would be needed on a metallophone, fewer keys on a keyboard, etc.<br /> | ||
<br /> | <br /> | ||
See: <a class="wiki_link" href="/Equal%20Temperaments">Equal Temperaments</a></body></html></pre></div> | See: <a class="wiki_link" href="/Equal%20Temperaments">Equal Temperaments</a><br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Individual pages for ED4s"></a><!-- ws:end:WikiTextHeadingRule:0 -->Individual pages for ED4s</h1> | |||
<a class="wiki_link" href="/33ed4">33ed4</a><br /> | |||
<a class="wiki_link" href="/37ed4">37ed4</a></body></html></pre></div> | |||