126/125: Difference between revisions
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Wikispaces>hstraub **Imported revision 581264315 - Original comment: ** |
Wikispaces>toddiharrop **Imported revision 600277782 - 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:toddiharrop|toddiharrop]] and made on <tt>2016-11-23 16:06:29 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>600277782</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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<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"><span style="display: block; text-align: right;">[[xenharmonie/126_125|Deutsch]] | <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"><span style="display: block; text-align: right;">[[xenharmonie/126_125|Deutsch]] | ||
</span> | </span> | ||
The **starling comma** or **septimal semicomma**, 126/125, is the only superparticular [[7-limit]] [[comma]] which is not the difference between two 7-limit superparticular ratios. Instead, it is the amount by which [[12_7|12/7]] falls short of three [[6_5|6/5]] minor thirds. It is also the amount by which two [[5_3|5/3 major sixths]] (octave-reduced) exceed the [[7_5|7/5 tritone]], and the amount by which three 5/3s (octave-reduced) fall short of the [[7_6|7/6 septimal minor third]]. | The **starling comma** or **septimal semicomma**, 126/125 (about 13.8 cents), is the only superparticular [[7-limit]] [[comma]] which is not the difference between two 7-limit superparticular ratios. Instead, it is the amount by which [[12_7|12/7]] falls short of three [[6_5|6/5]] minor thirds. It is also the amount by which two [[5_3|5/3 major sixths]] (octave-reduced) exceed the [[7_5|7/5 tritone]], and the amount by which three 5/3s (octave-reduced) fall short of the [[7_6|7/6 septimal minor third]]. It can also be found when comparing the conventional 5-limit minor third and major tenth to the nearest Bohlen–Pierce intervals. | ||
Tempering it out leads to [[Starling temperaments#Starling%20comma|starling temperament]], and three minor thirds plus a [[7_6|7/6]] subminor third, when 126/125 is tempered out, gives the [[starling tetrad]] or septimal semicomma diminished seventh chord. | Tempering it out leads to [[Starling temperaments#Starling%20comma|starling temperament]], and three minor thirds plus a [[7_6|7/6]] subminor third, when 126/125 is tempered out, gives the [[starling tetrad]] or septimal semicomma diminished seventh chord. | ||
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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;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>126_125</title></head><body><span style="display: block; text-align: right;"><a class="wiki_link" href="http://xenharmonie.wikispaces.com/126_125">Deutsch</a><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>126_125</title></head><body><span style="display: block; text-align: right;"><a class="wiki_link" href="http://xenharmonie.wikispaces.com/126_125">Deutsch</a><br /> | ||
</span><br /> | </span><br /> | ||
The <strong>starling comma</strong> or <strong>septimal semicomma</strong>, 126/125, is the only superparticular <a class="wiki_link" href="/7-limit">7-limit</a> <a class="wiki_link" href="/comma">comma</a> which is not the difference between two 7-limit superparticular ratios. Instead, it is the amount by which <a class="wiki_link" href="/12_7">12/7</a> falls short of three <a class="wiki_link" href="/6_5">6/5</a> minor thirds. It is also the amount by which two <a class="wiki_link" href="/5_3">5/3 major sixths</a> (octave-reduced) exceed the <a class="wiki_link" href="/7_5">7/5 tritone</a>, and the amount by which three 5/3s (octave-reduced) fall short of the <a class="wiki_link" href="/7_6">7/6 septimal minor third</a>.<br /> | The <strong>starling comma</strong> or <strong>septimal semicomma</strong>, 126/125 (about 13.8 cents), is the only superparticular <a class="wiki_link" href="/7-limit">7-limit</a> <a class="wiki_link" href="/comma">comma</a> which is not the difference between two 7-limit superparticular ratios. Instead, it is the amount by which <a class="wiki_link" href="/12_7">12/7</a> falls short of three <a class="wiki_link" href="/6_5">6/5</a> minor thirds. It is also the amount by which two <a class="wiki_link" href="/5_3">5/3 major sixths</a> (octave-reduced) exceed the <a class="wiki_link" href="/7_5">7/5 tritone</a>, and the amount by which three 5/3s (octave-reduced) fall short of the <a class="wiki_link" href="/7_6">7/6 septimal minor third</a>. It can also be found when comparing the conventional 5-limit minor third and major tenth to the nearest Bohlen–Pierce intervals.<br /> | ||
<br /> | <br /> | ||
Tempering it out leads to <a class="wiki_link" href="/Starling%20temperaments#Starling%20comma">starling temperament</a>, and three minor thirds plus a <a class="wiki_link" href="/7_6">7/6</a> subminor third, when 126/125 is tempered out, gives the <a class="wiki_link" href="/starling%20tetrad">starling tetrad</a> or septimal semicomma diminished seventh chord.<br /> | Tempering it out leads to <a class="wiki_link" href="/Starling%20temperaments#Starling%20comma">starling temperament</a>, and three minor thirds plus a <a class="wiki_link" href="/7_6">7/6</a> subminor third, when 126/125 is tempered out, gives the <a class="wiki_link" href="/starling%20tetrad">starling tetrad</a> or septimal semicomma diminished seventh chord.<br /> | ||
Revision as of 16:06, 23 November 2016
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author toddiharrop and made on 2016-11-23 16:06:29 UTC.
- The original revision id was 600277782.
- 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:
<span style="display: block; text-align: right;">[[xenharmonie/126_125|Deutsch]] </span> The **starling comma** or **septimal semicomma**, 126/125 (about 13.8 cents), is the only superparticular [[7-limit]] [[comma]] which is not the difference between two 7-limit superparticular ratios. Instead, it is the amount by which [[12_7|12/7]] falls short of three [[6_5|6/5]] minor thirds. It is also the amount by which two [[5_3|5/3 major sixths]] (octave-reduced) exceed the [[7_5|7/5 tritone]], and the amount by which three 5/3s (octave-reduced) fall short of the [[7_6|7/6 septimal minor third]]. It can also be found when comparing the conventional 5-limit minor third and major tenth to the nearest Bohlen–Pierce intervals. Tempering it out leads to [[Starling temperaments#Starling%20comma|starling temperament]], and three minor thirds plus a [[7_6|7/6]] subminor third, when 126/125 is tempered out, gives the [[starling tetrad]] or septimal semicomma diminished seventh chord. [[http://en.wikipedia.org/wiki/Septimal_semicomma]]
Original HTML content:
<html><head><title>126_125</title></head><body><span style="display: block; text-align: right;"><a class="wiki_link" href="http://xenharmonie.wikispaces.com/126_125">Deutsch</a><br /> </span><br /> The <strong>starling comma</strong> or <strong>septimal semicomma</strong>, 126/125 (about 13.8 cents), is the only superparticular <a class="wiki_link" href="/7-limit">7-limit</a> <a class="wiki_link" href="/comma">comma</a> which is not the difference between two 7-limit superparticular ratios. Instead, it is the amount by which <a class="wiki_link" href="/12_7">12/7</a> falls short of three <a class="wiki_link" href="/6_5">6/5</a> minor thirds. It is also the amount by which two <a class="wiki_link" href="/5_3">5/3 major sixths</a> (octave-reduced) exceed the <a class="wiki_link" href="/7_5">7/5 tritone</a>, and the amount by which three 5/3s (octave-reduced) fall short of the <a class="wiki_link" href="/7_6">7/6 septimal minor third</a>. It can also be found when comparing the conventional 5-limit minor third and major tenth to the nearest Bohlen–Pierce intervals.<br /> <br /> Tempering it out leads to <a class="wiki_link" href="/Starling%20temperaments#Starling%20comma">starling temperament</a>, and three minor thirds plus a <a class="wiki_link" href="/7_6">7/6</a> subminor third, when 126/125 is tempered out, gives the <a class="wiki_link" href="/starling%20tetrad">starling tetrad</a> or septimal semicomma diminished seventh chord.<br /> <br /> <br /> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Septimal_semicomma" rel="nofollow">http://en.wikipedia.org/wiki/Septimal_semicomma</a></body></html>