144/143: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Infobox Interval
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| Name = grossma
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2017-03-20 04:55:32 UTC</tt>.<br>
| Color name = 3u1u1, thulu 1sn,<br>Thulu comma
: The original revision id was <tt>609122751</tt>.<br>
| Comma = yes
: 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>
<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">**144/143**
| 4 2 0 0 -1 -1 &gt;
12.0644 cents


144/143, also known as the //grossma//, is a 13-limit comma, the difference between the [[xenharmonic/11_9|11/9]] and [[xenharmonic/16_13|16/13]] neutral thirds. [[Teff]] is a temperament of note that targets it.</pre></div>
'''144/143''', the '''grossma''', is a [[13-limit]] [[small comma]]. It is the difference between the [[11/9]] and [[16/13]] neutral thirds, and between the [[12/11]] and [[13/12]] neutral seconds. [[Teff]] is a temperament of note that targets it.
<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;144_143&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;144/143&lt;/strong&gt;&lt;br /&gt;
== Sagittal notation ==
| 4 2 0 0 -1 -1 &amp;gt;&lt;br /&gt;
In the [[Sagittal]] system, the downward version of this comma (possibly tempered) is represented by the sagittal {{sagittal | )~! }} and is called the '''143 comma''', or '''143C''' for short, because the simplest interval it notates is 143/1 = 11×13 (equiv. 143/128), as for example in C-D{{nbhsp}}{{sagittal | )~! }}. The upward version is called '''1/143C''' or '''143C up''' and is represented by {{sagittal| )~| }}.
12.0644 cents&lt;br /&gt;
 
&lt;br /&gt;
== See also ==
144/143, also known as the &lt;em&gt;grossma&lt;/em&gt;, is a 13-limit comma, the difference between the &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/11_9"&gt;11/9&lt;/a&gt; and &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/16_13"&gt;16/13&lt;/a&gt; neutral thirds. &lt;a class="wiki_link" href="/Teff"&gt;Teff&lt;/a&gt; is a temperament of note that targets it.&lt;/body&gt;&lt;/html&gt;</pre></div>
* [[Small comma]]
* [[List of superparticular intervals]]
* [[Grossmisma]], the difference by which a stack of seven 144/143s falls short of [[21/20]]
 
[[Category:Grossmic]]
[[Category:Commas with unknown etymology]]

Latest revision as of 23:14, 15 November 2024

Interval information
Ratio 144/143
Factorization 24 × 32 × 11-1 × 13-1
Monzo [4 2 0 0 -1 -1⟩
Size in cents 12.0644¢
Name grossma
Color name 3u1u1, thulu 1sn,
Thulu comma
FJS name [math]\displaystyle{ \text{A1}_{11,13} }[/math]
Special properties square superparticular,
reduced
Tenney height (log2 nd) 14.3298
Weil height (log2 max(n, d)) 14.3399
Wilson height (sopfr(nd)) 38
Comma size small
S-expression S12
Open this interval in xen-calc

144/143, the grossma, is a 13-limit small comma. It is the difference between the 11/9 and 16/13 neutral thirds, and between the 12/11 and 13/12 neutral seconds. Teff is a temperament of note that targets it.

Sagittal notation

In the Sagittal system, the downward version of this comma (possibly tempered) is represented by the sagittal ⁠ ⁠ and is called the 143 comma, or 143C for short, because the simplest interval it notates is 143/1 = 11×13 (equiv. 143/128), as for example in C-D⁠ ⁠⁠ ⁠. The upward version is called 1/143C or 143C up and is represented by ⁠ ⁠.

See also

Retrieved from "https://en.xen.wiki/index.php?title=144/143&oldid=165482"