56/45: 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 = septimal narrow major third, marvel-ptolemaic major third, aberschismic diminished fourth

~~: This revision was~~ by ~~author~~ [[~~User:genewardsmith~~|~~genewardsmith~~]] and ~~made on <tt>2012~~-02-~~11 11:42:50 UTC<~~/~~tt>.<br>~~

| Color name = zg4, zogu 4th

~~: The original revision id was <tt>300765024<~~/~~tt>.<br>~~

| Sound = jid_56_45_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>~~

'''56/45''', conventionally known as the '''septimal narrow major third''' or '''marvel-ptolemaic major third''', is flat of the [[81/64|Pythagorean major third]] by [[3645/3584]], namely a [[81/80|syntonic comma]] plus a [[225/224|marvel comma]]. However, it functions more commonly as a diminished fourth, flat of the [[8192/6561|Pythagorean diminished fourth]] by an [[aberschisma]]. This gives rise to the more precise name '''aberschismic diminished fourth''', and in fact it arises as the interval between various [[9-odd-limit]] consonances – between [[5/4]] and [[14/9]], between [[9/7]] and [[8/5]], between [[9/8]] and [[7/5]], and between [[10/7]] and [[16/9]] – with it also being [[6/5]] away from the marvelous fifth, [[112/75]].

~~<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">According to Ozan Yarman, the perde segah of Turkish maqam music should range from 56/45~~, which is flatter than~~ 5/4 by the [[~~septimal kleisma~~]] ~~of 225~~/~~224, and~~ 5/4.~~</pre></div>~~

According to [[Ozan Yarman]], the perde segah of [[Arabic, Turkish, Persian music|Turkish maqam music]] should range from 56/45 to 5/4.

~~<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"><html><head><title>56_45</title></head><body>According to Ozan Yarman~~, the ~~perde segah~~ of ~~Turkish maqam music should range from~~ 56/45~~, which is flatter than 5/4 by the <a class~~=~~"wiki_link" href~~="/~~septimal%20kleisma">septimal kleisma<~~/~~a>~~ of ~~225/224, and 5/4.</body></html></pre></div>~~

== Temperaments ==

[[Marvel]] tempering equates this interval with the [[5/4|classical major third]] and turns chords like 1–5/4–8/5 or 1–5/4–14/9 into [[essentially tempered chord]]s.

== Approximation ==

This interval is a third of a cent flatter than 6\19, the major third of [[19edo]].

== See also ==

* [[45/28]] – its [[octave complement]]

* [[135/112]] – its [[fifth complement]]

* [[Gallery of just intervals]]

[[Category:Third]]

[[Category:Major third]]

[[Category:Fourth]]

[[Category:Diminished fourth]]

[[Category:Aberschismic]]

@@ 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 = septimal narrow major third, marvel-ptolemaic major third, aberschismic diminished fourth
-: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-02-11 11:42:50 UTC</tt>.<br>
+| Color name = zg4, zogu 4th
-: The original revision id was <tt>300765024</tt>.<br>
+| Sound = jid_56_45_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>
+'''56/45''', conventionally known as the '''septimal narrow major third''' or '''marvel-ptolemaic major third''', is flat of the [[81/64|Pythagorean major third]] by [[3645/3584]], namely a [[81/80|syntonic comma]] plus a [[225/224|marvel comma]]. However, it functions more commonly as a diminished fourth, flat of the [[8192/6561|Pythagorean diminished fourth]] by an [[aberschisma]]. This gives rise to the more precise name '''aberschismic diminished fourth''', and in fact it arises as the interval between various [[9-odd-limit]] consonances – between [[5/4]] and [[14/9]], between [[9/7]] and [[8/5]], between [[9/8]] and [[7/5]], and between [[10/7]] and [[16/9]] – with it also being [[6/5]] away from the marvelous fifth, [[112/75]].
-<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">According to Ozan Yarman, the perde segah of Turkish maqam music should range from 56/45, which is flatter than 5/4 by the [[septimal kleisma]] of 225/224, and 5/4.</pre></div>
+According to [[Ozan Yarman]], the perde segah of [[Arabic, Turkish, Persian music|Turkish maqam music]] should range from 56/45 to 5/4.
-<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;56_45&lt;/title&gt;&lt;/head&gt;&lt;body&gt;According to Ozan Yarman, the perde segah of Turkish maqam music should range from 56/45, which is flatter than 5/4 by the &lt;a class="wiki_link" href="/septimal%20kleisma"&gt;septimal kleisma&lt;/a&gt; of 225/224, and 5/4.&lt;/body&gt;&lt;/html&gt;</pre></div>
+== Temperaments ==
+[[Marvel]] tempering equates this interval with the [[5/4|classical major third]] and turns chords like 1–5/4–8/5 or 1–5/4–14/9 into [[essentially tempered chord]]s.
+== Approximation ==
+This interval is a third of a cent flatter than 6\19, the major third of [[19edo]].
+{{Interval edo approximation|56/45}}
+== See also ==
+* [[45/28]] – its [[octave complement]]
+* [[135/112]] – its [[fifth complement]]
+* [[Gallery of just intervals]]
+[[Category:Third]]
+[[Category:Major third]]
+[[Category:Fourth]]
+[[Category:Diminished fourth]]
+[[Category:Aberschismic]]