49/44: Difference between revisions

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**Imported revision 515320062 - Original comment: **
m Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|"
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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 = mothwellsmic major second
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-30 21:43:29 UTC</tt>.<br>
| Color name = 1uzz3, luzozo 3rd
: The original revision id was <tt>515320062</tt>.<br>
| Sound = jid_49_44_pluck_adu_dr220.mp3
: 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">**49/44**
|-2 0 0 2 -1&gt;
186.3339 cents
[[media type="file" key="jid_49_44_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_49_44_pluck_adu_dr220.mp3|sound sample]]


**49/44**, the werckismic minor second, is 441/440 (3.9 cents) sharp of [[10_9|10/9]]. It arises in 11-limit JI scales as the interval between 8/7 and 14/11, or between 11/7 and 7/4.  
'''49/44''', the '''mothwellsmic major second''', is [[99/98]] flat of [[9/8]]. It arises in [[11-limit]] JI scales as the interval between [[8/7]] and [[14/11]], or between [[11/7]] and [[7/4]].
</pre></div>
 
<h4>Original HTML content:</h4>
== Terminology ==
<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;49_44&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;49/44&lt;/strong&gt;&lt;br /&gt;
It could also be called ''werckismic major second'' if viewed as [[fudging]] from [[10/9]] instead. But that name more appropriately refers to [[55/49]]. ''Undecimal minor whole tone'' is attested in [https://www.huygens-fokker.org/docs/intervals.html Scala].  
|-2 0 0 2 -1&amp;gt;&lt;br /&gt;
== Approximation ==
186.3339 cents&lt;br /&gt;
{{Interval edo approximation|49/44}}
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== See also ==
&lt;br /&gt;
* [[Gallery of just intervals]]
&lt;strong&gt;49/44&lt;/strong&gt;, the werckismic minor second, is 441/440 (3.9 cents) sharp of &lt;a class="wiki_link" href="/10_9"&gt;10/9&lt;/a&gt;. It arises in 11-limit JI scales as the interval between 8/7 and 14/11, or between 11/7 and 7/4.&lt;/body&gt;&lt;/html&gt;</pre></div>
 
[[Category:Second]]
[[Category:Whole tone]]
[[Category:Mothwellsmic]]

Latest revision as of 13:03, 3 November 2025

Interval information
Ratio 49/44
Factorization 2-2 × 72 × 11-1
Monzo [-2 0 0 2 -1
Size in cents 186.3339¢
Name mothwellsmic major second
Color name 1uzz3, luzozo 3rd
FJS name [math]\displaystyle{ \text{m3}^{7,7}_{11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 11.0741
Weil norm (log2 max(n, d)) 11.2294
Wilson norm (sopfr(nd)) 29

[sound info]
Open this interval in xen-calc

49/44, the mothwellsmic major second, is 99/98 flat of 9/8. It arises in 11-limit JI scales as the interval between 8/7 and 14/11, or between 11/7 and 7/4.

Terminology

It could also be called werckismic major second if viewed as fudging from 10/9 instead. But that name more appropriately refers to 55/49. Undecimal minor whole tone is attested in Scala.

Approximation

Edo approximations for 49/44 (186.33 ¢)
≤ 80edo, relative error ≤ 10%
Edo Step size Cents (¢) Absolute error (¢) Relative error (%)
6 1\6 200.00 +13.67 +6.83
7 1\7 171.43 -14.91 -8.69
13 2\13 184.62 -1.72 -1.86
19 3\19 189.47 +3.14 +4.97
26 4\26 184.62 -1.72 -3.72
32 5\32 187.50 +1.17 +3.11
38 6\38 189.47 +3.14 +9.94
39 6\39 184.62 -1.72 -5.59
45 7\45 186.67 +0.33 +1.25
51 8\51 188.24 +1.90 +8.08
52 8\52 184.62 -1.72 -7.45
58 9\58 186.21 -0.13 -0.61
64 10\64 187.50 +1.17 +6.22
65 10\65 184.62 -1.72 -9.31
71 11\71 185.92 -0.42 -2.48
77 12\77 187.01 +0.68 +4.36

See also