35/27: Difference between revisions

Interval information
Ratio	35/27
Factorization	3-3 × 5 × 7
Monzo	[0 -3 1 1⟩
Size in cents	449.2746¢
Name	septimal semidiminished fourth
Color name	zy4, zoyo 4th
FJS name	[math]\displaystyle{ \text{P4}^{5,7} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	9.88417
Weil norm (log2 max(n, d))	10.2586
Wilson norm (sopfr(nd))	21
	https://en.xen.wiki/w/File:Jid_35_27_pluck_adu_dr220.mp3; [sound info]
	Open this interval in xen-calc

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VisualWikitext

Latest revision as of 19:40, 29 May 2026

35/27, the septimal semidiminished fourth, is the interval between 9/7 and 5/3. It is about 449.3 cents in size, 245/243 sharp of 9/7 and 351/350 flat of 13/10. Tempering out 351/350 leads to chords such as the ratwolf triad, a tempered 1-6/5-20/13.

Notice it is also sharp of the classical major third by 28/27, the subminor second, suggesting the function of a dissonance yet to be resolved down to the 5/4.

Approximation

Edo approximations for 35/27 (449.27 ¢)
*≤ 80edo, relative error ≤ 10%*
Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
8	3\8	450.00	+0.73	+0.48
16	6\16	450.00	+0.73	+0.97
24	9\24	450.00	+0.73	+1.45
32	12\32	450.00	+0.73	+1.93
40	15\40	450.00	+0.73	+2.42
43	16\43	446.51	-2.76	-9.90
48	18\48	450.00	+0.73	+2.90
51	19\51	447.06	-2.22	-9.42
56	21\56	450.00	+0.73	+3.39
59	22\59	447.46	-1.82	-8.93
64	24\64	450.00	+0.73	+3.87
67	25\67	447.76	-1.51	-8.45
72	27\72	450.00	+0.73	+4.35
75	28\75	448.00	-1.27	-7.97
80	30\80	450.00	+0.73	+4.84

@@ 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 semidiminished fourth
-: This revision was by author [[User:guest|guest]] and made on <tt>2012-02-27 05:32:52 UTC</tt>.<br>
+| Color name = zy4, zoyo 4th
-: The original revision id was <tt>305403070</tt>.<br>
+| Sound = jid_35_27_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>
+'''35/27''', the '''septimal semidiminished fourth''', is the interval between [[9/7]] and [[5/3]]. It is about 449.3 [[cent]]s in size, [[245/243]] sharp of [[9/7]] and [[351/350]] flat of [[13/10]]. Tempering out 351/350 leads to chords such as the [[ratwolf triad]], a tempered 1-6/5-20/13.
-<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">**35/27**, the semi-diminished fourth, is the interval between [[9_7|9/7]] and [[5_3|5/3]]. It is 449.27 [[cent|cents]] in size and 351/350 flat of [[13_10|13/10]]. Tempering out 351/350 leads to chords such as the [[ratwolf triad]], a tempered 1-6/5-20/13.</pre></div>
-<h4>Original HTML content:</h4>
+Notice it is also sharp of the classical major third by [[28/27]], the subminor second, suggesting the function of a dissonance yet to be resolved down to the 5/4.
-<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;35_27&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;35/27&lt;/strong&gt;, the semi-diminished fourth, is the interval between &lt;a class="wiki_link" href="/9_7"&gt;9/7&lt;/a&gt; and &lt;a class="wiki_link" href="/5_3"&gt;5/3&lt;/a&gt;. It is 449.27 &lt;a class="wiki_link" href="/cent"&gt;cents&lt;/a&gt; in size and 351/350 flat of &lt;a class="wiki_link" href="/13_10"&gt;13/10&lt;/a&gt;. Tempering out 351/350 leads to chords such as the &lt;a class="wiki_link" href="/ratwolf%20triad"&gt;ratwolf triad&lt;/a&gt;, a tempered 1-6/5-20/13.&lt;/body&gt;&lt;/html&gt;</pre></div>
+== Approximation ==
+{{Interval edo approximation|35/27}}
+== See also ==
+* [[54/35]] – its [[octave complement]]
+* [[81/70]] – its [[fifth complement]]
+* [[Gallery of just intervals]]
+* [[:File:Ji-35-27-csound-foscil-220hz.mp3]] – another sound example
+[[Category:Fourth]]
+[[Category:Diminished fourth]]
+[[Category:Interseptimal intervals]]
+[[Category:Naiadic]]

35/27: Difference between revisions

Latest revision as of 19:40, 29 May 2026

Approximation

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