Amity comma: 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>~~

| Ratio = 1600000/1594323

~~: This revision was by author [[User:genewardsmith~~|~~genewardsmith]] and made on <tt>2011-08-26 20:25:45 UTC<~~/~~tt>.<br>~~

| Name = amity comma, amiton

~~: The original revision id was <tt>248731511</tt>.<br>~~

| Color name = sy<sup>5</sup>1, Saquinyo comma

~~: The revision comment was:~~ <tt></~~tt><br~~>

| Comma = yes

~~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>~~

The '''amity comma''' or '''amiton''' ({{monzo|legend=1| 9 -13 5 }}, [[ratio]]: 1600000/1594323) is a [[small comma|small]] [[5-limit]] [[comma]] of 6.154 [[cent]]s, the amount by which five [[10/9|minor whole tones (10/9)]] exceed the [[27/16|Pythagorean major sixth (27/16)]]. It belongs to the [[syntonic–chromatic equivalence continuum]] and is equal to the difference between an [[apotome]] and a stack of five [[syntonic comma]]s ((2187/2048)/(81/80)<sup>5</sup>), or in terms of classic chromatic semitone, between a classic chromatic semitone and a stack of three syntonic commas ((25/24)/(81/80)<sup>3</sup>).

<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">The amity comma, 1600000/1594323, is ~~an interval~~ of 6.154 ~~cents~~, the amount by which five [[~~10_9~~|minor whole tones]] and an ~~octave exceed~~ three fifths; that is, 2 * (10/9)^5/(3/2)^3. Tempering it out leads to [[amity ~~temperament~~]].~~</pre></div>~~

<h4>~~Original HTML content~~:</h4>

== Temperaments ==

<~~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"~~>~~<html><head><title>~~amity comma~~</title></head><body>The~~ amity comma~~, 1600000~~/~~1594323, is an interval of 6~~.~~154 cents, the amount by which five <a class="wiki_link" href="~~/~~10_9">minor whole tones<~~/~~a> and an octave exceed three fifths; that is, 2 * (10~~/~~9)^5~~/(3/~~2)^3~~. ~~Tempering it out leads to <a class="wiki_link" href="~~/~~amity%20temperament">amity temperament<~~/~~a>~~.~~</body></~~html~~>~~</~~pre~~><~~/div~~>

Tempering it out leads to the [[amity family]] of temperaments.

== Etymology ==

The corresponding temperament was discovered first and named by [[Gene Ward Smith]] as ''acute minor third'' or ''amt'' in 2001–2002<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_2064.html Yahoo! Tuning Group | ''Kleismic & co'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_3481.html Yahoo! Tuning Group | ''32 best 5-limit linear temperaments redux'']</ref>. The temperament was renamed to ''amity'', and the comma was at one point dubbed ''amitisma'', both by Gene Ward Smith in late 2002, though it was ''amity comma'' that stuck<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5025.html Yahoo! Tuning Group | ''5-limit comma names'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html#5114 Yahoo! Tuning Group | ''Ultimate 5-limit comma list'']</ref>.

In 2025, [[User: VectorGraphics|Vector]] and [[Lériendil]] proposed ''amiton'' by analogy with [[graviton]], as both amity and gravity are on the syntonic–chromatic equivalence continuum.

== See also ==

* [[Small comma]]

== Notes ==

[[Category:Amity|#]]

[[Category:Commas named for their regular temperament properties]]

@@ 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>
+| Ratio = 1600000/1594323
-: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-26 20:25:45 UTC</tt>.<br>
+| Name = amity comma, amiton
-: The original revision id was <tt>248731511</tt>.<br>
+| Color name = sy<sup>5</sup>1, Saquinyo comma
-: The revision comment was: <tt></tt><br>
+| Comma = yes
-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>
+The '''amity comma''' or '''amiton''' ({{monzo|legend=1| 9 -13 5 }}, [[ratio]]: 1600000/1594323) is a [[small comma|small]] [[5-limit]] [[comma]] of 6.154 [[cent]]s, the amount by which five [[10/9|minor whole tones (10/9)]] exceed the [[27/16|Pythagorean major sixth (27/16)]]. It belongs to the [[syntonic–chromatic equivalence continuum]] and is equal to the difference between an [[apotome]] and a stack of five [[syntonic comma]]s ((2187/2048)/(81/80)<sup>5</sup>), or in terms of classic chromatic semitone, between a classic chromatic semitone and a stack of three syntonic commas ((25/24)/(81/80)<sup>3</sup>).
-<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">The amity comma, 1600000/1594323, is an interval of 6.154 cents, the amount by which five [[10_9|minor whole tones]] and an octave exceed three fifths; that is, 2 * (10/9)^5/(3/2)^3. Tempering it out leads to [[amity temperament]].</pre></div>
-<h4>Original HTML content:</h4>
+== Temperaments ==
-<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;amity comma&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The amity comma, 1600000/1594323, is an interval of 6.154 cents, the amount by which five &lt;a class="wiki_link" href="/10_9"&gt;minor whole tones&lt;/a&gt; and an octave exceed three fifths; that is, 2 * (10/9)^5/(3/2)^3. Tempering it out leads to &lt;a class="wiki_link" href="/amity%20temperament"&gt;amity temperament&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
+Tempering it out leads to the [[amity family]] of temperaments.
+== Etymology ==
+The corresponding temperament was discovered first and named by [[Gene Ward Smith]] as ''acute minor third'' or ''amt'' in 2001–2002<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_2064.html Yahoo! Tuning Group | ''Kleismic & co'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_3481.html Yahoo! Tuning Group | ''32 best 5-limit linear temperaments redux'']</ref>. The temperament was renamed to ''amity'', and the comma was at one point dubbed ''amitisma'', both by Gene Ward Smith in late 2002, though it was ''amity comma'' that stuck<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5025.html Yahoo! Tuning Group | ''5-limit comma names'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html#5114 Yahoo! Tuning Group | ''Ultimate 5-limit comma list'']</ref>.
+In 2025, [[User: VectorGraphics|Vector]] and [[Lériendil]] proposed ''amiton'' by analogy with [[graviton]], as both amity and gravity are on the syntonic–chromatic equivalence continuum.
+== See also ==
+* [[Small comma]]
+== Notes ==
+[[Category:Amity|#]] <!-- key article -->
+[[Category:Commas named for their regular temperament properties]]