Just perfect fifth - Revision history

Fredg999: Removed categories

2021-12-21T06:28:32Z

Removed categories

← Older revision		Revision as of 06:28, 21 December 2021
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	#REDIRECT [[3/2]]		#REDIRECT [[3/2]]

	~~[[Category:Interval]]~~
	~~[[Category:3-limit]]~~
	~~[[Category:3/2]]~~
	~~[[Category:Interval name]]~~
	~~[[Category:Just]]~~
	~~[[Category:Ratio]]~~
	~~[[Category:Fifth]]~~

Flirora: change to redirect, now that this page's content has been merged with 3/2

2021-03-07T09:05:29Z

change to redirect, now that this page's content has been merged with 3/2

@@ Line 1: / Line 1: @@
-[[File:jid_3_2_pluck_adu_dr220.mp3]] [[:File:jid_3_2_pluck_adu_dr220.mp3|sound sample]]
+#REDIRECT [[3/2]]
 [[Category:Interval]]
@@ Line 22: / Line 8: @@
 [[Category:Ratio]]
 [[Category:Fifth]]

Xenwolf: better merge?

2020-11-22T20:51:39Z

better merge?

← Older revision		Revision as of 20:51, 22 November 2020
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	[[Category:Ratio]]		[[Category:Ratio]]
	[[Category:Fifth]]		[[Category:Fifth]]

			{{todo\|inline=1\|merge articles\|comment=[[3/2]] and [[just perfect fifth]]}}

Xenwolf: +cat

2020-05-31T23:27:40Z

+cat

← Older revision		Revision as of 23:27, 31 May 2020
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	...see also [[Wikipedia:Perfect fifth]] on Wikipedia.		...see also [[Wikipedia:Perfect fifth]] on Wikipedia.

			[[Category:Interval]]
	[[Category:3-limit]]		[[Category:3-limit]]
	[[Category:3/2]]		[[Category:3/2]]
	[[Category:~~interval~~]]		[[Category:Interval name]]
	[[Category:~~interval_name~~]]		[[Category:Just]]
	[[Category:~~just~~]]		[[Category:Ratio]]
	[[Category:~~ratio~~]]		[[Category:Fifth]]

Oak Blood Three: OEIS & Interwiki format

2019-05-22T20:32:45Z

OEIS & Interwiki format

← Older revision		Revision as of 20:32, 22 May 2019
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	Some better (compared to 12edo) approximations of the perfect fifth are [[29edo]], [[41edo]], [[53edo]]...		Some better (compared to 12edo) approximations of the perfect fifth are [[29edo]], [[41edo]], [[53edo]]...

	(~~see all~~ at ~~[http://oeis~~.~~org/A060528 The On-Line Encyclopedia of Integer Sequences (OEIS)]; also~~ relevant are the ~~[http://oeis.org/~~A005664 denominators of the convergents to ~~log2~~(3)~~]).~~		See a list of EDOs with increasingly better approximations of 3:2 (and by extension 4:3) at {{OEIS\|A060528}}. Also relevant are the {{OEIS\|A005664\|denominators of the convergents to log<sub>2</sub>(3)}}

	In composition, the presence of perfect fifths can provide a "ground" upon which unusual intervals may be placed while still sounding structurally coherent. Systems excluding perfect fifths can thus sound more "xenharmonic".		In composition, the presence of perfect fifths can provide a "ground" upon which unusual intervals may be placed while still sounding structurally coherent. Systems excluding perfect fifths can thus sound more "xenharmonic".

	...see also [~~http~~:~~//en.wikipedia.org/wiki/Perfect_fifth~~ Perfect fifth on Wikipedia].		...see also [[Wikipedia:Perfect fifth]] on Wikipedia.

	[[Category:3-limit]]		[[Category:3-limit]]

Spt3125: added internal links

2018-12-08T17:43:34Z

added internal links

← Older revision		Revision as of 17:43, 8 December 2018
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	[[File:jid_3_2_pluck_adu_dr220.mp3]] [[:File:jid_3_2_pluck_adu_dr220.mp3\|sound sample]]		[[File:jid_3_2_pluck_adu_dr220.mp3]] [[:File:jid_3_2_pluck_adu_dr220.mp3\|sound sample]]

	The '''just perfect fifth''' is the largest [[~~superparticular\|~~superparticular]] [[Gallery_of_Just_Intervals\|interval]], spanning the distance between the 2nd and 3rd harmonics. It has a frequency ratio of 3:2, with a size of approximately 701.96 cents. It is an interval with low [[~~Harmonic_Entropy\|~~harmonic entropy]], and therefore high consonance.		The '''just perfect fifth''' is the largest [[superparticular]] [[Gallery_of_Just_Intervals\|interval]], spanning the distance between the 2nd and 3rd harmonics. It has a frequency ratio of [[3/2\|3:2]], with a size of approximately 701.955 cents. It is an interval with low [[harmonic entropy]], and therefore high consonance.

	Variations of the fifth (whether just or not) appear in most music of the world. On a harmonic instrument, the third harmonic is usually the loudest which is not an octave double of the fundamental. Treatment of the perfect fifth as consonant historically precedes treatment of the major third (see [[5/4\|5:4]]) as consonant. 3:2 is the simple JI interval best approximated by [[12edo\|12edo]], after the [[Octave\|octave]].		Variations of the [[Perfect_fifth\|fifth]] (whether just or not) appear in most music of the world. On a harmonic instrument, the third harmonic is usually the loudest which is not an octave double of the fundamental. Treatment of the perfect fifth as consonant historically precedes treatment of the major third (see [[5/4\|5:4]]) as consonant. 3:2 is the simple JI interval best approximated by [[12edo\|12edo]], after the [[Octave\|octave]].

	Producing a chain of just perfect fifths yields Pythagorean tuning. Such a chain does not close at a circle, but continues infinitely. [[~~12edo\|~~12edo]] is a system which flattens the perfect fifth by about 2 cents so that the circle close at 12 tones. Meanwhile, meantone temperaments are systems which flatten the perfect fifth such that the major third generated by four fifths upward be closer to 5:4 -- or, in the case of [[~~Quarter-comma_meantone\|~~quarter-comma meantone]] (see [[~~31edo\|~~31edo]]), identical.		Producing a chain of just perfect fifths yields Pythagorean tuning. Such a chain does not close at a circle, but continues infinitely. [[12edo]] is a system which flattens the perfect fifth by about 2 cents so that the circle close at 12 tones. Meanwhile, [[meantone]] temperaments are systems which flatten the perfect fifth such that the major third generated by four fifths upward be closer to 5:4 -- or, in the case of [[quarter-comma meantone]] (see [[31edo]]), identical.

	Some better (compared to 12edo) approximations of the perfect fifth are [[~~29edo\|~~29edo]], [[~~41edo\|~~41edo]], [[~~53edo\|~~53edo]]...		Some better (compared to 12edo) approximations of the perfect fifth are [[29edo]], [[41edo]], [[53edo]]...

	(see all at [http://oeis.org/A060528 The On-Line Encyclopedia of Integer Sequences (OEIS)]; also relevant are the [http://oeis.org/A005664 denominators of the convergents to log2(3)]).		(see all at [http://oeis.org/A060528 The On-Line Encyclopedia of Integer Sequences (OEIS)]; also relevant are the [http://oeis.org/A005664 denominators of the convergents to log2(3)]).
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	...see also [http://en.wikipedia.org/wiki/Perfect_fifth Perfect fifth on Wikipedia].		...see also [http://en.wikipedia.org/wiki/Perfect_fifth Perfect fifth on Wikipedia].

	[[Category:3-limit]]		[[Category:3-limit]]
	[[Category:3/2]]		[[Category:3/2]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

← Older revision		Revision as of 00:00, 17 July 2018
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	~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~		[[File:jid_3_2_pluck_adu_dr220.mp3]] [[:File:jid_3_2_pluck_adu_dr220.mp3\|sound sample]]
	~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~
	~~: This revision was by author~~ [[~~User:spt3125\|spt3125]] and made on <tt>2014-06-07 16:26:28 UTC</tt>.<br>~~
	~~: The original revision id was <tt>513196684</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">[[media type="file" key="~~jid_3_2_pluck_adu_dr220.mp3~~" width="240" height="20"~~]] [[~~file~~:~~xenharmonic/~~jid_3_2_pluck_adu_dr220.mp3\|sound sample]]

	The just perfect fifth is the largest [[superparticular]] [[~~Gallery of Just Intervals~~\|interval]], spanning the distance between the 2nd and 3rd harmonics. It has a frequency ratio of 3:2, with a size of approximately 701.96 cents. It is an interval with low [[harmonic entropy]], and therefore high consonance.		The '''just perfect fifth''' is the largest [[superparticular\|superparticular]] [[Gallery_of_Just_Intervals\|interval]], spanning the distance between the 2nd and 3rd harmonics. It has a frequency ratio of 3:2, with a size of approximately 701.96 cents. It is an interval with low [[Harmonic_Entropy\|harmonic entropy]], and therefore high consonance.

	Variations of the fifth (whether just or not) appear in most music of the world. On a harmonic instrument, the third harmonic is usually the loudest which is not an octave double of the fundamental. Treatment of the perfect fifth as consonant historically precedes treatment of the major third (see [[~~5_4~~\|5:4]]) as consonant. 3:2 is the simple JI interval best approximated by [[12edo]], after the [[octave]].		Variations of the fifth (whether just or not) appear in most music of the world. On a harmonic instrument, the third harmonic is usually the loudest which is not an octave double of the fundamental. Treatment of the perfect fifth as consonant historically precedes treatment of the major third (see [[5/4\|5:4]]) as consonant. 3:2 is the simple JI interval best approximated by [[12edo\|12edo]], after the [[Octave\|octave]].

	Producing a chain of just perfect fifths yields Pythagorean tuning. Such a chain does not close at a circle, but continues infinitely. [[12edo]] is a system which flattens the perfect fifth by about 2 cents so that the circle close at 12 tones. Meanwhile, meantone temperaments are systems which flatten the perfect fifth such that the major third generated by four fifths upward be closer to 5:4 -- or, in the case of [[quarter-comma meantone]] (see [[31edo]]), identical.		Producing a chain of just perfect fifths yields Pythagorean tuning. Such a chain does not close at a circle, but continues infinitely. [[12edo\|12edo]] is a system which flattens the perfect fifth by about 2 cents so that the circle close at 12 tones. Meanwhile, meantone temperaments are systems which flatten the perfect fifth such that the major third generated by four fifths upward be closer to 5:4 -- or, in the case of [[Quarter-comma_meantone\|quarter-comma meantone]] (see [[31edo\|31edo]]), identical.

	Some better (compared to 12edo) approximations of the perfect fifth are [[29edo]], [[41edo]], [[53edo]]...		Some better (compared to 12edo) approximations of the perfect fifth are [[29edo\|29edo]], [[41edo\|41edo]], [[53edo\|53edo]]...
	(see all at [[http://oeis.org/A060528\|The On-Line Encyclopedia of Integer Sequences (OEIS)]]; also relevant are the [[http://oeis.org/A005664\|denominators of the convergents to log2(3)]]).
			(see all at [http://oeis.org/A060528 The On-Line Encyclopedia of Integer Sequences (OEIS)]; also relevant are the [http://oeis.org/A005664 denominators of the convergents to log2(3)]).

	In composition, the presence of perfect fifths can provide a "ground" upon which unusual intervals may be placed while still sounding structurally coherent. Systems excluding perfect fifths can thus sound more "xenharmonic".		In composition, the presence of perfect fifths can provide a "ground" upon which unusual intervals may be placed while still sounding structurally coherent. Systems excluding perfect fifths can thus sound more "xenharmonic".

	...see also [[http://en.wikipedia.org/wiki/Perfect_fifth\|Perfect fifth on Wikipedia]].~~</pre></div>~~		...see also [http://en.wikipedia.org/wiki/Perfect_fifth Perfect fifth on Wikipedia].
	~~<h4>Original HTML content~~:~~</h4>~~		[[Category:3-limit]]
	~~<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>just perfect fifth</title></head><body><!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_3_2_pluck_adu_dr220.mp3?h=20&amp;w=240&quot; class=&quot;WikiMedia WikiMediaFile&quot; id=&quot;wikitext@@media@@type=&amp;quot;file&amp;quot; key=&amp;quot;jid_3_2_pluck_adu_dr220.mp3&amp;quot; width=&amp;quot;240&amp;quot; height=&amp;quot;20&amp;quot;&quot; title=&quot;Local Media File&quot;height=&quot;20&quot; width=&quot;240&quot;/&gt; --><embed src="/s/mediaplayer.swf" pluginspage="http://www.macromedia.com/go/getflashplayer" type="application/x-shockwave-flash" quality="high" width="240" height="20" wmode="transparent" flashvars="file=http%253A%252F%252Fxenharmonic.wikispaces.com%252Ffile%252Fview%252Fjid_3_2_pluck_adu_dr220.mp3?file_extension=mp3&autostart=false&repeat=false&showdigits=true&showfsbutton=false&width=240&height=20"></embed><!-- ws:end:WikiTextMediaRule:0 --> <a href="http://xenharmonic.wikispaces.com/file/view/jid_3_2_pluck_adu_dr220.mp3/513181952/jid_3_2_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_3_2_pluck_adu_dr220.mp3/513181952/jid_3_2_pluck_adu_dr220.mp3');">sound sample</a><br />		[[Category:3/2]]
	~~<br />~~		[[Category:interval]]
	The <strong>just perfect fifth</strong> is the largest <a class="wiki_link" href="/superparticular">superparticular</a> <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">interval</a>, spanning the distance between the 2nd and 3rd harmonics. It has a frequency ratio of 3:2~~, with a size of approximately 701.96 cents. It is an interval with low <a class="wiki_link" href="/harmonic%20entropy">harmonic entropy</a>, and therefore high consonance.<br />~~		[[Category:interval_name]]
	~~<br />~~		[[Category:just]]
	Variations of the fifth (whether just or not) appear in most music of the world. On a harmonic instrument, the third harmonic is usually the loudest which is not an octave double of the fundamental. Treatment of the perfect fifth as consonant historically precedes treatment of the major third (see <a class="wiki_link" href="/5_4">5:~~4</a>) as consonant. 3:2 is the simple JI~~ interval ~~best approximated by <a class="wiki_link" href="/12edo">12edo</a>, after the <a class="wiki_link" href="/octave">octave</a>.<br />~~		[[Category:ratio]]
	~~<br />~~
	Producing a chain of just perfect fifths yields Pythagorean tuning. Such a chain does not close at a circle, but continues infinitely. <a class="wiki_link" href="/12edo">12edo</a> is a system which flattens the perfect fifth by about 2 cents so that the circle close at 12 tones. Meanwhile, meantone temperaments are systems which flatten the perfect fifth such that the major third generated by four fifths upward be closer to 5:4 -- or, in the case of <a class="wiki_link" href="/quarter-comma%20meantone">quarter-comma meantone</a> (see <a class="wiki_link" href="/31edo">31edo</a>), identical.<br />
	~~<br />~~
	Some better (compared to 12edo) approximations of the perfect fifth are <a class="wiki_link" href="/29edo">29edo</a>, <a class="wiki_link" href="/41edo">41edo</a>, <a class="wiki_link" href="/53edo">53edo</a>...<br />
	~~(see all at <a class="wiki_link_ext" href="http~~://oeis.org/A060528" rel="nofollow">The On-Line Encyclopedia of Integer Sequences (OEIS)</a>; also relevant are the <a class="wiki_link_ext" href="http://oeis.org/A005664" rel="nofollow">denominators of the convergents to log2(3)</a>).<br />
	~~<br />~~
	In composition, the presence of perfect fifths can provide a &quot;ground&quot; upon which unusual intervals may be placed while still sounding structurally coherent. Systems excluding perfect fifths can thus sound more &quot;xenharmonic&quot;.<br />
	~~<br />~~
	~~...see also <a class="wiki_link_ext" href="http~~:~~//en.wikipedia.org/wiki/Perfect_fifth" rel="nofollow">Perfect fifth on Wikipedia</a>.</body></html></pre></div>~~

Wikispaces>spt3125: Imported revision 513196684 - Original comment:

2014-06-07T16:26:28Z

**Imported revision 513196684 - Original comment: **

Wikispaces>spt3125: Imported revision 513181966 - Original comment: added audio example

2014-06-07T11:35:24Z

**Imported revision 513181966 - Original comment: added audio example**

← Older revision		Revision as of 11:35, 7 June 2014
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	<h2>IMPORTED REVISION FROM WIKISPACES</h2>		<h2>IMPORTED REVISION FROM WIKISPACES</h2>
	This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>		This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
	: This revision was by author [[User:~~Sarzadoce~~\|~~Sarzadoce~~]] and made on <tt>~~2011~~-08-~~09 15~~:24~~:03~~ UTC</tt>.<br>		: This revision was by author [[User:spt3125\|spt3125]] and made on <tt>2014-06-07 11:35:24 UTC</tt>.<br>
	: The original revision id was <tt>~~245082151~~</tt>.<br>		: The original revision id was <tt>513181966</tt>.<br>
	: The revision comment was: <tt></tt><br>		: The revision comment was: <tt>added audio example</tt><br>
	The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<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>		<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">The just perfect fifth is the largest [[superparticular]] [[Gallery of Just Intervals\|interval]] spanning the distance between the 2nd and 3rd harmonics. It has a frequency ratio of 3:2 with a width is 701.955 cents. It's an interval with low [[harmonic entropy]], and therefore high consonance.		<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">[[media type="file" key="jid_3_2_pluck_adu_dr220.mp3"]]

			The just perfect fifth is the largest [[superparticular]] [[Gallery of Just Intervals\|interval]] spanning the distance between the 2nd and 3rd harmonics. It has a frequency ratio of 3:2 with a width is 701.955 cents. It's an interval with low [[harmonic entropy]], and therefore high consonance.

	Variations of the fifth (whether just or not) appear in most music of the world. On a harmonic instrument, the third harmonic is usually the loudest which is not an octave double of the fundamental. Treatment of the perfect fifth as consonant historically precedes treatment of the major third (see [[5_4\|5:4]]) as consonant. 3:2 is the simple JI interval best approximated by [[12edo]], after the [[octave]].		Variations of the fifth (whether just or not) appear in most music of the world. On a harmonic instrument, the third harmonic is usually the loudest which is not an octave double of the fundamental. Treatment of the perfect fifth as consonant historically precedes treatment of the major third (see [[5_4\|5:4]]) as consonant. 3:2 is the simple JI interval best approximated by [[12edo]], after the [[octave]].
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	...see also [[http://en.wikipedia.org/wiki/Perfect_fifth\|Perfect fifth on Wikipedia]].</pre></div>		...see also [[http://en.wikipedia.org/wiki/Perfect_fifth\|Perfect fifth on Wikipedia]].</pre></div>
	<h4>Original HTML content:</h4>		<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>just perfect fifth</title></head><body>The <strong>just perfect fifth</strong> is the largest <a class="wiki_link" href="/superparticular">superparticular</a> <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">interval</a> spanning the distance between the 2nd and 3rd harmonics. It has a frequency ratio of 3:2 with a width is 701.955 cents. It's an interval with low <a class="wiki_link" href="/harmonic%20entropy">harmonic entropy</a>, and therefore high consonance.<br />		<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>just perfect fifth</title></head><body><!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_3_2_pluck_adu_dr220.mp3?h=20&amp;w=240&quot; class=&quot;WikiMedia WikiMediaFile&quot; id=&quot;wikitext@@media@@type=&amp;quot;file&amp;quot; key=&amp;quot;jid_3_2_pluck_adu_dr220.mp3&amp;quot;&quot; title=&quot;Local Media File&quot;height=&quot;20&quot; width=&quot;240&quot;/&gt; --><embed src="/s/mediaplayer.swf" pluginspage="http://www.macromedia.com/go/getflashplayer" type="application/x-shockwave-flash" quality="high" width="240" height="20" wmode="transparent" flashvars="file=http%253A%252F%252Fxenharmonic.wikispaces.com%252Ffile%252Fview%252Fjid_3_2_pluck_adu_dr220.mp3?file_extension=mp3&autostart=false&repeat=false&showdigits=true&showfsbutton=false&width=240&height=20"></embed><!-- ws:end:WikiTextMediaRule:0 --><br />
			<br />
			The <strong>just perfect fifth</strong> is the largest <a class="wiki_link" href="/superparticular">superparticular</a> <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">interval</a> spanning the distance between the 2nd and 3rd harmonics. It has a frequency ratio of 3:2 with a width is 701.955 cents. It's an interval with low <a class="wiki_link" href="/harmonic%20entropy">harmonic entropy</a>, and therefore high consonance.<br />
	<br />		<br />
	Variations of the fifth (whether just or not) appear in most music of the world. On a harmonic instrument, the third harmonic is usually the loudest which is not an octave double of the fundamental. Treatment of the perfect fifth as consonant historically precedes treatment of the major third (see <a class="wiki_link" href="/5_4">5:4</a>) as consonant. 3:2 is the simple JI interval best approximated by <a class="wiki_link" href="/12edo">12edo</a>, after the <a class="wiki_link" href="/octave">octave</a>.<br />		Variations of the fifth (whether just or not) appear in most music of the world. On a harmonic instrument, the third harmonic is usually the loudest which is not an octave double of the fundamental. Treatment of the perfect fifth as consonant historically precedes treatment of the major third (see <a class="wiki_link" href="/5_4">5:4</a>) as consonant. 3:2 is the simple JI interval best approximated by <a class="wiki_link" href="/12edo">12edo</a>, after the <a class="wiki_link" href="/octave">octave</a>.<br />

Wikispaces>Sarzadoce: Imported revision 245082151 - Original comment:

2011-08-09T15:24:03Z

**Imported revision 245082151 - Original comment: **

← Older revision		Revision as of 16:26, 7 June 2014
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	<h2>IMPORTED REVISION FROM WIKISPACES</h2>		<h2>IMPORTED REVISION FROM WIKISPACES</h2>
	This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>		This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
	: This revision was by author [[User:spt3125\|spt3125]] and made on <tt>2014-06-07 11:35:24 UTC</tt>.<br>		: This revision was by author [[User:spt3125\|spt3125]] and made on <tt>2014-06-07 16:26:28 UTC</tt>.<br>
	: The original revision id was <tt>~~513181966~~</tt>.<br>		: The original revision id was <tt>513196684</tt>.<br>
	: The revision comment was: <tt>~~added audio example~~</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>		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>		<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">[[media type="file" key="jid_3_2_pluck_adu_dr220.mp3"]]		<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">[[media type="file" key="jid_3_2_pluck_adu_dr220.mp3" width="240" height="20"]] [[file:xenharmonic/jid_3_2_pluck_adu_dr220.mp3\|sound sample]]

	The just perfect fifth is the largest [[superparticular]] [[Gallery of Just Intervals\|interval]] spanning the distance between the 2nd and 3rd harmonics. It has a frequency ratio of 3:2 with a ~~width is~~ 701.~~955~~ cents. It's an interval with low [[harmonic entropy]], and therefore high consonance.		The just perfect fifth is the largest [[superparticular]] [[Gallery of Just Intervals\|interval]], spanning the distance between the 2nd and 3rd harmonics. It has a frequency ratio of 3:2, with a size of approximately 701.96 cents. It is an interval with low [[harmonic entropy]], and therefore high consonance.

	Variations of the fifth (whether just or not) appear in most music of the world. On a harmonic instrument, the third harmonic is usually the loudest which is not an octave double of the fundamental. Treatment of the perfect fifth as consonant historically precedes treatment of the major third (see [[5_4\|5:4]]) as consonant. 3:2 is the simple JI interval best approximated by [[12edo]], after the [[octave]].		Variations of the fifth (whether just or not) appear in most music of the world. On a harmonic instrument, the third harmonic is usually the loudest which is not an octave double of the fundamental. Treatment of the perfect fifth as consonant historically precedes treatment of the major third (see [[5_4\|5:4]]) as consonant. 3:2 is the simple JI interval best approximated by [[12edo]], after the [[octave]].
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	...see also [[http://en.wikipedia.org/wiki/Perfect_fifth\|Perfect fifth on Wikipedia]].</pre></div>		...see also [[http://en.wikipedia.org/wiki/Perfect_fifth\|Perfect fifth on Wikipedia]].</pre></div>
	<h4>Original HTML content:</h4>		<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>just perfect fifth</title></head><body><!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_3_2_pluck_adu_dr220.mp3?h=20&amp;w=240&quot; class=&quot;WikiMedia WikiMediaFile&quot; id=&quot;wikitext@@media@@type=&amp;quot;file&amp;quot; key=&amp;quot;jid_3_2_pluck_adu_dr220.mp3&amp;quot;&quot; title=&quot;Local Media File&quot;height=&quot;20&quot; width=&quot;240&quot;/&gt; --><embed src="/s/mediaplayer.swf" pluginspage="http://www.macromedia.com/go/getflashplayer" type="application/x-shockwave-flash" quality="high" width="240" height="20" wmode="transparent" flashvars="file=http%253A%252F%252Fxenharmonic.wikispaces.com%252Ffile%252Fview%252Fjid_3_2_pluck_adu_dr220.mp3?file_extension=mp3&autostart=false&repeat=false&showdigits=true&showfsbutton=false&width=240&height=20"></embed><!-- ws:end:WikiTextMediaRule:0 --><br />		<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>just perfect fifth</title></head><body><!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_3_2_pluck_adu_dr220.mp3?h=20&amp;w=240&quot; class=&quot;WikiMedia WikiMediaFile&quot; id=&quot;wikitext@@media@@type=&amp;quot;file&amp;quot; key=&amp;quot;jid_3_2_pluck_adu_dr220.mp3&amp;quot; width=&amp;quot;240&amp;quot; height=&amp;quot;20&amp;quot;&quot; title=&quot;Local Media File&quot;height=&quot;20&quot; width=&quot;240&quot;/&gt; --><embed src="/s/mediaplayer.swf" pluginspage="http://www.macromedia.com/go/getflashplayer" type="application/x-shockwave-flash" quality="high" width="240" height="20" wmode="transparent" flashvars="file=http%253A%252F%252Fxenharmonic.wikispaces.com%252Ffile%252Fview%252Fjid_3_2_pluck_adu_dr220.mp3?file_extension=mp3&autostart=false&repeat=false&showdigits=true&showfsbutton=false&width=240&height=20"></embed><!-- ws:end:WikiTextMediaRule:0 --> <a href="http://xenharmonic.wikispaces.com/file/view/jid_3_2_pluck_adu_dr220.mp3/513181952/jid_3_2_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_3_2_pluck_adu_dr220.mp3/513181952/jid_3_2_pluck_adu_dr220.mp3');">sound sample</a><br />
	<br />		<br />
	The <strong>just perfect fifth</strong> is the largest <a class="wiki_link" href="/superparticular">superparticular</a> <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">interval</a> spanning the distance between the 2nd and 3rd harmonics. It has a frequency ratio of 3:2 with a ~~width is~~ 701.~~955~~ cents. It's an interval with low <a class="wiki_link" href="/harmonic%20entropy">harmonic entropy</a>, and therefore high consonance.<br />		The <strong>just perfect fifth</strong> is the largest <a class="wiki_link" href="/superparticular">superparticular</a> <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">interval</a>, spanning the distance between the 2nd and 3rd harmonics. It has a frequency ratio of 3:2, with a size of approximately 701.96 cents. It is an interval with low <a class="wiki_link" href="/harmonic%20entropy">harmonic entropy</a>, and therefore high consonance.<br />
	<br />		<br />
	Variations of the fifth (whether just or not) appear in most music of the world. On a harmonic instrument, the third harmonic is usually the loudest which is not an octave double of the fundamental. Treatment of the perfect fifth as consonant historically precedes treatment of the major third (see <a class="wiki_link" href="/5_4">5:4</a>) as consonant. 3:2 is the simple JI interval best approximated by <a class="wiki_link" href="/12edo">12edo</a>, after the <a class="wiki_link" href="/octave">octave</a>.<br />		Variations of the fifth (whether just or not) appear in most music of the world. On a harmonic instrument, the third harmonic is usually the loudest which is not an octave double of the fundamental. Treatment of the perfect fifth as consonant historically precedes treatment of the major third (see <a class="wiki_link" href="/5_4">5:4</a>) as consonant. 3:2 is the simple JI interval best approximated by <a class="wiki_link" href="/12edo">12edo</a>, after the <a class="wiki_link" href="/octave">octave</a>.<br />

← Older revision		Revision as of 15:24, 9 August 2011
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	<h2>IMPORTED REVISION FROM WIKISPACES</h2>		<h2>IMPORTED REVISION FROM WIKISPACES</h2>
	This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>		This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
	: This revision was by author [[User:Sarzadoce\|Sarzadoce]] and made on <tt>2011-08-09 15:21:32 UTC</tt>.<br>		: This revision was by author [[User:Sarzadoce\|Sarzadoce]] and made on <tt>2011-08-09 15:24:03 UTC</tt>.<br>
	: The original revision id was <tt>~~245081037~~</tt>.<br>		: The original revision id was <tt>245082151</tt>.<br>
	: The revision comment was: <tt></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>		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>		<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">The just perfect fifth is the [[superparticular]] [[interval]] between the 2nd and 3rd harmonics. It has a frequency ratio of 3:2 with a width is 701.955 cents. It's an interval with low [[harmonic entropy]], and therefore high consonance.		<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 just perfect fifth is the largest [[superparticular]] [[Gallery of Just Intervals\|interval]] spanning the distance between the 2nd and 3rd harmonics. It has a frequency ratio of 3:2 with a width is 701.955 cents. It's an interval with low [[harmonic entropy]], and therefore high consonance.

	Variations of the fifth (whether just or not) appear in most music of the world. On a harmonic instrument, the third harmonic is usually the loudest which is not an octave double of the fundamental. Treatment of the perfect fifth as consonant historically precedes treatment of the major third (see [[5_4\|5:4]]) as consonant. 3:2 is the simple JI interval best approximated by [[12edo]], after the [[octave]].		Variations of the fifth (whether just or not) appear in most music of the world. On a harmonic instrument, the third harmonic is usually the loudest which is not an octave double of the fundamental. Treatment of the perfect fifth as consonant historically precedes treatment of the major third (see [[5_4\|5:4]]) as consonant. 3:2 is the simple JI interval best approximated by [[12edo]], after the [[octave]].
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	...see also [[http://en.wikipedia.org/wiki/Perfect_fifth\|Perfect fifth on Wikipedia]].</pre></div>		...see also [[http://en.wikipedia.org/wiki/Perfect_fifth\|Perfect fifth on Wikipedia]].</pre></div>
	<h4>Original HTML content:</h4>		<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>just perfect fifth</title></head><body>The <strong>just perfect fifth</strong> is the <a class="wiki_link" href="/superparticular">superparticular</a> <a class="wiki_link" href="/~~interval~~">interval</a> between the 2nd and 3rd harmonics. It has a frequency ratio of 3:2 with a width is 701.955 cents. It's an interval with low <a class="wiki_link" href="/harmonic%20entropy">harmonic entropy</a>, and therefore high consonance.<br />		<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>just perfect fifth</title></head><body>The <strong>just perfect fifth</strong> is the largest <a class="wiki_link" href="/superparticular">superparticular</a> <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">interval</a> spanning the distance between the 2nd and 3rd harmonics. It has a frequency ratio of 3:2 with a width is 701.955 cents. It's an interval with low <a class="wiki_link" href="/harmonic%20entropy">harmonic entropy</a>, and therefore high consonance.<br />
	<br />		<br />
	Variations of the fifth (whether just or not) appear in most music of the world. On a harmonic instrument, the third harmonic is usually the loudest which is not an octave double of the fundamental. Treatment of the perfect fifth as consonant historically precedes treatment of the major third (see <a class="wiki_link" href="/5_4">5:4</a>) as consonant. 3:2 is the simple JI interval best approximated by <a class="wiki_link" href="/12edo">12edo</a>, after the <a class="wiki_link" href="/octave">octave</a>.<br />		Variations of the fifth (whether just or not) appear in most music of the world. On a harmonic instrument, the third harmonic is usually the loudest which is not an octave double of the fundamental. Treatment of the perfect fifth as consonant historically precedes treatment of the major third (see <a class="wiki_link" href="/5_4">5:4</a>) as consonant. 3:2 is the simple JI interval best approximated by <a class="wiki_link" href="/12edo">12edo</a>, after the <a class="wiki_link" href="/octave">octave</a>.<br />