75/56: Difference between revisions

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**Imported revision 515166808 - Original comment: **
 
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m Normalising usage of Infobox Interval
 
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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 = marvelous fourth
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-06-28 12:42:14 UTC</tt>.<br>
| Color name = ryy3, ruyoyo 3rd
: The original revision id was <tt>515166808</tt>.<br>
| Sound = Ji 75-56-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>
'''75/56''', the '''marvelous fourth''' (505.8{{cent}}), is [[225/224]] (7.7{{cent}}) sharp of the just fourth [[4/3]]. It often arises in just intonation scales. Tempering out 225/224 from the scale can be used to make it much less sharp, but it is usable as it is, being only half a cent sharp of the [[19edo]] fourth of 8\19. Considered as a [[meantone]] fourth, it is approximately 5/14-comma meantone.
<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">**75/56**
|-3 1 2 -1&gt;
505.7565 cents


75/56, the marvelous fourth (505.8¢), is 225/224 (7.7¢)  sharp of the just fourth [[4_3|4/3]]. It often arises in just intonation scales. Tempering out 225/224 from the scale can be used to make it much less sharp, but it is usable as it is, being only half a cent sharp of the 19et fourth of 8\19. Considered as a meantone fourth, it is approximately 5/14-comma meantone.</pre></div>
== See also ==
<h4>Original HTML content:</h4>
* [[:File:jid_75_56_pluck_adu_dr220.mp3]] – another sound example
<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;75_56&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;75/56&lt;/strong&gt;&lt;br /&gt;
* [[112/75]] - its [[octave complement]]
|-3 1 2 -1&amp;gt;&lt;br /&gt;
* [[Gallery of just intervals]]
505.7565 cents&lt;br /&gt;
 
&lt;br /&gt;
[[Category:Fourth]]
75/56, the marvelous fourth (505.8¢), is 225/224 (7.7¢)  sharp of the just fourth &lt;a class="wiki_link" href="/4_3"&gt;4/3&lt;/a&gt;. It often arises in just intonation scales. Tempering out 225/224 from the scale can be used to make it much less sharp, but it is usable as it is, being only half a cent sharp of the 19et fourth of 8\19. Considered as a meantone fourth, it is approximately 5/14-comma meantone.&lt;/body&gt;&lt;/html&gt;</pre></div>
[[Category:Marvel]]

Latest revision as of 16:52, 25 October 2022

Interval information
Ratio 75/56
Factorization 2-3 × 3 × 52 × 7-1
Monzo [-3 1 2 -1
Size in cents 505.7565¢
Name marvelous fourth
Color name ryy3, ruyoyo 3rd
FJS name [math]\displaystyle{ \text{A3}^{5,5}_{7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 12.0362
Weil norm (log2 max(n, d)) 12.4576
Wilson norm (sopfr(nd)) 26

[sound info]
Open this interval in xen-calc

75/56, the marvelous fourth (505.8 ¢), is 225/224 (7.7 ¢) sharp of the just fourth 4/3. It often arises in just intonation scales. Tempering out 225/224 from the scale can be used to make it much less sharp, but it is usable as it is, being only half a cent sharp of the 19edo fourth of 8\19. Considered as a meantone fourth, it is approximately 5/14-comma meantone.

See also