525/512: Difference between revisions

Interval information
Ratio	525/512
Factorization	2-9 × 3 × 52 × 7
Monzo	[-9 1 2 1⟩
Size in cents	43.40834¢
Names	avicennma,; Avicenna's enharmonic diesis
Color name	Lzyy1, lazoyoyo unison
FJS name	[math]\displaystyle{ \text{A1}^{5,5,7} }[/math]
Special properties	reduced,; reduced harmonic
Tenney norm (log2 nd)	18.0362
Weil norm (log2 max(n, d))	18.0723
Wilson norm (sopfr(nd))	38
Comma size	medium
	Open this interval in xen-calc

VisualWikitext

Latest revision as of 09:31, 8 April 2026

525/512, the avicennma, also known as Avicenna's enharmonic diesis, is a medium 7-limit comma measuring about 43.4 cents. It is the difference between 64/63 and 25/24, or between 32/25 and 21/16.

In the 11-limit, it factors into (45/44)⋅(385/384), and in the 2.3.5.7.13 subgroup, (65/64)⋅(105/104).

Temperaments

Tempering out this comma equates 64/63 with 25/24 and leads to the avicennmic temperament. Because it flattens 3/2 and 5/4, it is a natural choice to further temper out 81/80, resulting in flattone temperament.

See Avicennmic temperaments for a collection of rank-2 temperaments where it is tempered out.

@@ 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 = avicennma, Avicenna's enharmonic diesis
-: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-02-12 12:44:47 UTC</tt>.<br>
+| Color name = Lzyy1, lazoyoyo unison
-: The original revision id was <tt>300942612</tt>.<br>
+| Comma = yes
-: 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>
+'''525/512''', the '''avicennma''', also known as ''Avicenna's enharmonic diesis'', is a [[medium comma|medium]] [[7-limit]] [[comma]] measuring about 43.4 [[cent]]s. It is the difference between [[64/63]] and [[25/24]], or between [[32/25]] and [[21/16]].
-<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">525/512, known as Avicenna's enharmonic diesis or the avicennma, is the interval between [[64_63|64/63]] and [[25_24|25/24]]. Tempering it out equates the two and leads to [[avicennmic temperaments]].</pre></div>
+In the 11-limit, it factors into ([[45/44]])⋅([[385/384]]), and in the [[2.3.5.7.13 subgroup]], ([[65/64]])⋅([[105/104]]).
-<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;525_512&lt;/title&gt;&lt;/head&gt;&lt;body&gt;525/512, known as Avicenna's enharmonic diesis or the avicennma, is the interval between &lt;a class="wiki_link" href="/64_63"&gt;64/63&lt;/a&gt; and &lt;a class="wiki_link" href="/25_24"&gt;25/24&lt;/a&gt;. Tempering it out equates the two and leads to &lt;a class="wiki_link" href="/avicennmic%20temperaments"&gt;avicennmic temperaments&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
+== Temperaments ==
+[[Tempering out]] this comma equates 64/63 with 25/24 and leads to the [[avicennmic]] temperament. Because it flattens [[3/2]] and [[5/4]], it is a natural choice to further temper out [[81/80]], resulting in [[flattone]] temperament.
+See [[Avicennmic temperaments]] for a collection of rank-2 temperaments where it is tempered out.
+[[Category:Avicennmic]]
+[[Category:Commas named after polymaths]]

525/512: Difference between revisions

Latest revision as of 09:31, 8 April 2026

Temperaments

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