128/125: Difference between revisions

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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>

Revision as of 00:00, 17 July 2018

Other languages: de:128/125 Deutsch

The 41.059 cent interval of 128/125 is called the diesis or augmented comma; it represents the gap between three 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 28, 31 or 34 EDO, and by two steps of 53, 59 or 65. In any tuning with just major, thirds, such as 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 temperament.