128/125
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author hstraub and made on 2013-05-24 07:35:57 UTC.
- The original revision id was 434012576.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
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]].
Original HTML content:
<html><head><title>128_125</title></head><body>The 41.059 cent interval of <strong>128/125</strong> is called the <strong>diesis or augmented <a class="wiki_link" href="/comma">comma</a></strong>; it represents the gap between three <a class="wiki_link" href="/5_4">5/4</a> just major thirds and the <a class="wiki_link" href="/octave">octave</a>, or in other words 2/(5/4)^3. It is fairly accurately represented by a single step in <a class="wiki_link" href="/28edo">28</a>, <a class="wiki_link" href="/31edo">31</a> or <a class="wiki_link" href="/34edo">34</a> EDO, and by two steps of <a class="wiki_link" href="/53edo">53</a>, <a class="wiki_link" href="/59edo">59</a> or <a class="wiki_link" href="/65edo">65</a>. In any tuning with just major, thirds, such as <a class="wiki_link" href="/Quarter-comma%20meantone">quarter comma meantone</a>, 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 <strong>enharmonic comma</strong> for this reason. Tempering it out leads to <a class="wiki_link" href="/Augmented%20family">augmented temperament</a>.</body></html>