90/77: Difference between revisions

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**Imported revision 515364374 - Original comment: **
 
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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 = swetismic subminor third
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-07-01 13:47:23 UTC</tt>.<br>
| Color name = 1ury2, luruyo 2nd
: The original revision id was <tt>515364374</tt>.<br>
}}
: 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">**90/77**
|1 2 1 -1 -1&gt;
270.079867 cents


**90/77*, the swetismic subminor third, is 540/539 (3.2 cents) sharp of [[7_6|7/6]]. It arises in 11-limit scales as the interval between 11/10 and 9/7, 7/6 and 15/11, 11/9 and 10/7, and their inversions.</pre></div>
'''90/77''', the swetismic subminor third, is 540/539 (3.2 cents) sharp of [[7/6]]. It arises in 11-limit scales as the interval between 11/10 and 9/7, 7/6 and 15/11, 11/9 and 10/7, and their inversions.
<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;90_77&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;90/77&lt;/strong&gt;&lt;br /&gt;
Additionally, it is [[385/384]] (4.5 cents) flat of [[75/64]], the classic augmented second.
|1 2 1 -1 -1&amp;gt;&lt;br /&gt;
 
270.079867 cents&lt;br /&gt;
It is very closely approximated in [[40edo]], which contextualizes it further as the product of [[15/14]] and [[12/11]].
&lt;br /&gt;
 
**90/77*, the swetismic subminor third, is 540/539 (3.2 cents) sharp of &lt;a class="wiki_link" href="/7_6"&gt;7/6&lt;/a&gt;. It arises in 11-limit scales as the interval between 11/10 and 9/7, 7/6 and 15/11, 11/9 and 10/7, and their inversions.&lt;/body&gt;&lt;/html&gt;</pre></div>
[[Category:Third]]
[[Category:Subminor third]]
[[Category:Second]]
[[Category:Augmented second]]
[[Category:Swetismic]]

Latest revision as of 03:25, 2 March 2026

Interval information
Ratio 90/77
Factorization 2 × 32 × 5 × 7-1 × 11-1
Monzo [1 2 1 -1 -1
Size in cents 270.0799¢
Name swetismic subminor third
Color name 1ury2, luruyo 2nd
FJS name [math]\displaystyle{ \text{A2}^{5}_{7,11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 12.7586
Weil norm (log2 max(n, d)) 12.9837
Wilson norm (sopfr(nd)) 31
Open this interval in xen-calc

90/77, the swetismic subminor third, is 540/539 (3.2 cents) sharp of 7/6. It arises in 11-limit scales as the interval between 11/10 and 9/7, 7/6 and 15/11, 11/9 and 10/7, and their inversions.

Additionally, it is 385/384 (4.5 cents) flat of 75/64, the classic augmented second.

It is very closely approximated in 40edo, which contextualizes it further as the product of 15/14 and 12/11.