128/125: Difference between revisions

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**Imported revision 487593550 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<span style="display: block; text-align: right;">Other languages: [[:de:128/125 Deutsch]]</span><span style="display: block; text-align: left;">
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
 
: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2014-02-05 17:47:43 UTC</tt>.<br>
</span><span style="display: block; text-align: left;">The 41.059 cent interval of '''128/125''' is called the '''diesis''' or '''augmented [[Comma|comma]]'''; it represents the gap between three [[5/4|5/4]] just major thirds and the [[Octave|octave]], or in other words 2/(5/4)^3. It is fairly accurately represented by a single step in [[28edo|28]], [[31edo|31]] or [[34edo|34]] EDO, and by two steps of [[53edo|53]], [[59edo|59]] or [[65edo|65]]. In any tuning with just major, thirds, such as [[Quarter-comma_meantone|quarter comma meantone]], it will be exact. Furthermore, in quarter-comma.meantone it appears as difference between sharps and flats, e.g. between D# and Eb. It is also called '''enharmonic comma''' for this reason. Tempering it out leads to [[Augmented_family|augmented temperament]].</span>     [[Category:5-limit]]
: The original revision id was <tt>487593550</tt>.<br>
[[Category:comma]]
: The revision comment was: <tt></tt><br>
[[Category:diesis]]
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>
<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/128_125|Deutsch]]&lt;/span&gt;&lt;span style="display: block; text-align: left;"&gt;
&lt;/span&gt;&lt;span style="display: block; text-align: left;"&gt;The 41.059 cent interval of **128/125** is called the **diesis** or **augmented [[comma]]**; it represents the gap between three [[5_4|5/4]] just major thirds and the [[octave]], or in other words 2/(5/4)^3. It is fairly accurately represented by a single step in [[28edo|28]], [[31edo|31]] or [[34edo|34]] EDO, and by two steps of [[53edo|53]], [[59edo|59]] or [[65edo|65]]. In any tuning with just major, thirds, such as [[Quarter-comma meantone|quarter comma meantone]], it will be exact. Furthermore, in quarter-comma.meantone it appears as difference between sharps and flats, e.g. between D# and Eb. It is also called **enharmonic comma** for this reason. Tempering it out leads to [[Augmented family|augmented temperament]].&lt;/span&gt;</pre></div>
<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;128_125&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/128_125"&gt;Deutsch&lt;/a&gt;&lt;/span&gt;&lt;span style="display: block; text-align: left;"&gt;&lt;br /&gt;
&lt;/span&gt;&lt;span style="display: block; text-align: left;"&gt;The 41.059 cent interval of &lt;strong&gt;128/125&lt;/strong&gt; is called the &lt;strong&gt;diesis&lt;/strong&gt; or &lt;strong&gt;augmented &lt;a class="wiki_link" href="/comma"&gt;comma&lt;/a&gt;&lt;/strong&gt;; it represents the gap between three &lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt; just major thirds and the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt;, or in other words 2/(5/4)^3. It is fairly accurately represented by a single step in &lt;a class="wiki_link" href="/28edo"&gt;28&lt;/a&gt;, &lt;a class="wiki_link" href="/31edo"&gt;31&lt;/a&gt; or &lt;a class="wiki_link" href="/34edo"&gt;34&lt;/a&gt; EDO, and by two steps of &lt;a class="wiki_link" href="/53edo"&gt;53&lt;/a&gt;, &lt;a class="wiki_link" href="/59edo"&gt;59&lt;/a&gt; or &lt;a class="wiki_link" href="/65edo"&gt;65&lt;/a&gt;. In any tuning with just major, thirds, such as &lt;a class="wiki_link" href="/Quarter-comma%20meantone"&gt;quarter comma meantone&lt;/a&gt;, it will be exact. Furthermore, in quarter-comma.meantone it appears as difference between sharps and flats, e.g. between D# and Eb. It is also called &lt;strong&gt;enharmonic comma&lt;/strong&gt; for this reason. Tempering it out leads to &lt;a class="wiki_link" href="/Augmented%20family"&gt;augmented temperament&lt;/a&gt;.&lt;/span&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>