49/32: Difference between revisions

Interval information
Ratio	49/32
Factorization	2-5 × 72
Monzo	[-5 0 0 2⟩
Size in cents	737.6518¢
Names	septimal inframinor sixth,; octave-reduced 49th harmonic
Color name	zz6, zozo 6th
FJS name	[math]\displaystyle{ \text{m6}^{7,7} }[/math]
Special properties	reduced,; reduced harmonic
Tenney norm (log2 nd)	10.6147
Weil norm (log2 max(n, d))	11.2294
Wilson norm (sopfr(nd))	24
	https://en.xen.wiki/w/File:Ji-49-32-csound-foscil-220hz.mp3; [sound info]
	Open this interval in xen-calc

VisualWikitext

Latest revision as of 13:15, 3 November 2025

49/32, the the octave-reduced 49th harmonic, also known as the septimal inframinor sixth or wide septimal superfifth^{[idiosyncratic term]}, or is 640/637 (8.1 cents) flat of 20/13, and is the interval between 8/7 and 7/4.

Five octaves plus 49/32 gives the interval 49/1, the ‘wide fortieth’, the equivalence interval for 173ed49.

Approximation

Edo approximations for 49/32 (737.65 ¢)
*≤ 80edo, relative error ≤ 10%*
Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
5	3\5	720.00	-17.65	-7.35
8	5\8	750.00	+12.35	+8.23
13	8\13	738.46	+0.81	+0.88
18	11\18	733.33	-4.32	-6.48
21	13\21	742.86	+5.21	+9.11
26	16\26	738.46	+0.81	+1.75
31	19\31	735.48	-2.17	-5.60
34	21\34	741.18	+3.52	+9.99
39	24\39	738.46	+0.81	+2.63
44	27\44	736.36	-1.29	-4.72
52	32\52	738.46	+0.81	+3.51
57	35\57	736.84	-0.81	-3.85
65	40\65	738.46	+0.81	+4.39
70	43\70	737.14	-0.51	-2.97
78	48\78	738.46	+0.81	+5.26

@@ Line 1: / Line 1: @@
-<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 = septimal inframinor sixth, octave-reduced 49th harmonic
-: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-07-02 22:21:22 UTC</tt>.<br>
+| Color name = zz6, zozo 6th
-: The original revision id was <tt>515483816</tt>.<br>
+| Sound = Ji-49-32-csound-foscil-220hz.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">**49/32**
-|-5 0 0 2&gt;
-.651813 cents
-**49/32** is 640/637 (8.1 cents) flat of [[20_13|20/13]].</pre></div>
+'''49/32''', the '''the octave-reduced 49th harmonic''', also known as the '''septimal inframinor sixth''' or '''wide septimal superfifth'''{{idiosyncratic}}, or  is 640/637 (8.1 cents) flat of [[20/13]], and is the interval between [[8/7]] and [[7/4]].
-<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;49_32&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;49/32&lt;/strong&gt;&lt;br /&gt;
+Five octaves plus 49/32 gives the interval [[49/1]], the ‘wide fortieth’, the equivalence interval for [[173ed49]].
-|-5 0 0 2&amp;gt;&lt;br /&gt;
+== Approximation ==
-.651813 cents&lt;br /&gt;
+{{Interval edo approximation|49/32}}
-&lt;br /&gt;
+== See also ==
-&lt;strong&gt;49/32&lt;/strong&gt; is 640/637 (8.1 cents) flat of &lt;a class="wiki_link" href="/20_13"&gt;20/13&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
+* [[64/49]] – its octave complement
+* [[Gallery of just intervals]]
+[[Category:Interseptimal intervals]]
+[[Category:Superfifth]]
+[[Category:Fifth]]
+[[Category:Subminor sixth]]
+[[Category:Sixth]]

49/32: Difference between revisions

Latest revision as of 13:15, 3 November 2025

Approximation

See also

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