Equal-step tuning: Difference between revisions

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<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">&lt;span style="display: block; text-align: right;"&gt;Other languages: [[xenharmonie/Gleichstufige Tonsysteme|Deutsch]]&lt;/span&gt;

**Equal: a tuning in which every single step is the same interval; an equal-step scale.** See also [[edo]].

===...of the Tridecimal Ultramajor Third (13/10)===  

[[Square root of 13 over 10]]

==Equal multiplications==  

<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;Equal-step Tuning&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;span style="display: block; text-align: right;"&gt;Other languages: &lt;a class="wiki_link" href="http://xenharmonie.wikispaces.com/Gleichstufige%20Tonsysteme"&gt;Deutsch&lt;/a&gt;&lt;/span&gt;&lt;br /&gt;

&lt;strong&gt;Equal: a tuning in which every single step is the same interval; an equal-step scale.&lt;/strong&gt; See also &lt;a class="wiki_link" href="/edo"&gt;edo&lt;/a&gt;.&lt;br /&gt;

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The following plot shows equal divisions of 2/1, 3/1, 5/1, and 7/1, and points out some instances when three or more of them happen to be close together. Note that any equal division of 2/1 is automatically an equal division of 4/1; and if something is simultaneously a good equal division of both 2/1 and 3/1, then it's a good equal division of 6/1 as well.&lt;br /&gt;

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(Unlimited resolution version: &lt;a href="http://xenharmonic.wikispaces.com/file/view/equal.svg/277406886/equal.svg" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/equal.svg/277406886/equal.svg');"&gt;equal.svg&lt;/a&gt;)&lt;br /&gt;

  &lt;a class="wiki_link" href="/Square%20root%20of%2013%20over%2010"&gt;Square root of 13 over 10&lt;/a&gt;&lt;br /&gt;

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  &lt;a class="wiki_link" href="/88cET"&gt;88-cET&lt;/a&gt;&lt;br /&gt;

&lt;a class="wiki_link" href="/65cET"&gt;65cET&lt;/a&gt;&lt;br /&gt;

&lt;a class="wiki_link" href="/125cET"&gt;125cET&lt;/a&gt;&lt;br /&gt;

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  &lt;a class="wiki_link" href="/9%208ths%20equal%20temperament"&gt;9:8&lt;/a&gt;, &lt;a class="wiki_link" href="/10%209ths%20equal%20temperament"&gt;10:9&lt;/a&gt;, &lt;a class="wiki_link" href="/12%2011th%20equal%20temperament"&gt;12:11&lt;/a&gt;, &lt;a class="wiki_link" href="/13%2012ths%20equal%20temperament"&gt;13:12&lt;/a&gt;&lt;br /&gt;

&lt;br /&gt;

  &lt;a class="wiki_link" href="/edo%20anatomy"&gt;edo anatomy&lt;/a&gt;, &lt;a class="wiki_link" href="/macrotonal%20edos"&gt;macrotonal edos&lt;/a&gt;, &lt;a class="wiki_link" href="/maximal%20evenness"&gt;maximal evenness&lt;/a&gt;, &lt;a class="wiki_link" href="/Toctave"&gt;Toctave&lt;/a&gt;, &lt;a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning"&gt;The Riemann Zeta Function and Tuning&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>