75/64: 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 = classic(al) augmented second
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-09 22:24:39 UTC</tt>.<br>
| Color name = yy2, yoyo 2nd
: The original revision id was <tt>513417070</tt>.<br>
| Sound = jid_75_64_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">**75/64**
|-6 1 2&gt;
274.5824 cents
[[media type="file" key="jid_75_64_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_75_64_pluck_adu_dr220.mp3|sound sample]]


The classic ([[5-limit]]) augmented second.</pre></div>
'''75/64''', the '''classic(al) augmented second''', arises as [[9/8]] sharpened by [[25/24]]. It can also be created by stacking nine [[3/2]]'s, octave reducing, and subtracting two [[syntonic comma]]s. It is the [[Eigenmonzo|unchanged interval (eigenmonzo)]] for [[2/9-comma meantone]]. In terms of interval regions, it can be treated as a subminor third.  
<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;75_64&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;75/64&lt;/strong&gt;&lt;br /&gt;
== See also ==
|-6 1 2&amp;gt;&lt;br /&gt;
* [[128/75]] – its [[octave complement]]
274.5824 cents&lt;br /&gt;
* [[Gallery of just intervals]]
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&lt;br /&gt;
[[Category:Second]]
The classic (&lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt;) augmented second.&lt;/body&gt;&lt;/html&gt;</pre></div>
[[Category:Augmented second]]
[[Category:Meantone]]
[[Category:Subminor third]]

Latest revision as of 06:53, 21 June 2025

Interval information
Ratio 75/64
Factorization 2-6 × 3 × 52
Monzo [-6 1 2
Size in cents 274.5824¢
Name classic(al) augmented second
Color name yy2, yoyo 2nd
FJS name [math]\displaystyle{ \text{A2}^{5,5} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 12.2288
Weil height (log2 max(n, d)) 12.4576
Wilson height (sopfr(nd)) 25

[sound info]
Open this interval in xen-calc

75/64, the classic(al) augmented second, arises as 9/8 sharpened by 25/24. It can also be created by stacking nine 3/2's, octave reducing, and subtracting two syntonic commas. It is the unchanged interval (eigenmonzo) for 2/9-comma meantone. In terms of interval regions, it can be treated as a subminor third.

See also