Tree of rank two temperaments - Revision history

FloraC: Unmaintained deprecated page

2025-08-28T12:13:19Z

Unmaintained deprecated page

← Older revision		Revision as of 12:13, 28 August 2025
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			{{Deprecated}}

	=The temperament tree=		=The temperament tree=
	Using the [[Normal_lists\|normal comma list]] it is possible to define a [https://en.wikipedia.org/wiki/Tree_structure tree] of temperaments of a given rank. Below is given the top level of a tree for rank two temperaments in the form of a 5-limit monzo, followed by a link to a 7-limit node of the tree. This in turn may be followed, via the hyperlinks, to further nodes in higher prime limits. Temperaments are denoted via names and the normal comma list. The number at the end of the row is a logflat badness measure. The branches near the top tend to favor the 5-limit part of the temperament in terms of complexity, while those near the bottom tend to favor higher limits after the links are followed to those limits.		Using the [[Normal_lists\|normal comma list]] it is possible to define a [https://en.wikipedia.org/wiki/Tree_structure tree] of temperaments of a given rank. Below is given the top level of a tree for rank two temperaments in the form of a 5-limit monzo, followed by a link to a 7-limit node of the tree. This in turn may be followed, via the hyperlinks, to further nodes in higher prime limits. Temperaments are denoted via names and the normal comma list. The number at the end of the row is a logflat badness measure. The branches near the top tend to favor the 5-limit part of the temperament in terms of complexity, while those near the bottom tend to favor higher limits after the links are followed to those limits.

VectorGraphics: There are no wedgies here to begin with, but the page acts as if there are

2025-06-12T04:15:04Z

There are no wedgies here to begin with, but the page acts as if there are

← Older revision		Revision as of 04:15, 12 June 2025
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	=The temperament tree=		=The temperament tree=
	Using the [[Normal_lists\|normal comma list]] it is possible to define a [https://en.wikipedia.org/wiki/Tree_structure tree] of temperaments of a given rank. Below is given the top level of a tree for rank two temperaments in the form of a 5-limit monzo, followed by a link to a 7-limit node of the tree. This in turn may be followed, via the hyperlinks, to further nodes in higher prime limits. Temperaments are denoted via names~~, wedgies,~~ and the normal comma list. The wedgies, for those with the proper software, can be used to do all of the basic regular temperament operations, and their presence allows them to be searched for using the "Search Wiki" function. By putting together the commas in the normal list, Graham Breed's [http://x31eq.com/temper/ temperament finder] gives an alternative to wedgies for finding the properties of the temperament. The number at the end of the row is a logflat badness measure ~~(1000 times wedgie badness~~.) The branches near the top tend to favor the 5-limit part of the temperament in terms of complexity, while those near the bottom tend to favor higher limits after the links are followed to those limits.		Using the [[Normal_lists\|normal comma list]] it is possible to define a [https://en.wikipedia.org/wiki/Tree_structure tree] of temperaments of a given rank. Below is given the top level of a tree for rank two temperaments in the form of a 5-limit monzo, followed by a link to a 7-limit node of the tree. This in turn may be followed, via the hyperlinks, to further nodes in higher prime limits. Temperaments are denoted via names and the normal comma list. The number at the end of the row is a logflat badness measure. The branches near the top tend to favor the 5-limit part of the temperament in terms of complexity, while those near the bottom tend to favor higher limits after the links are followed to those limits.

	=The 5-limit top branches=		=The 5-limit top branches=

Fredg999 category edits: Moving from Category:Table to Category:Tables using Cat-a-lot

2023-04-23T19:31:48Z

Moving from Category:Table to Category:Tables using Cat-a-lot

← Older revision		Revision as of 19:31, 23 April 2023
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	\| \| 4309.84584		\| \| 4309.84584
	\|}		\|}
	[[Category:~~Table~~]]		[[Category:Tables]]
	[[Category:Lists of temperaments]]		[[Category:Lists of temperaments]]

BudjarnLambeth: Categorised this uncategorised page

2023-04-23T12:54:14Z

Categorised this uncategorised page

← Older revision		Revision as of 12:54, 23 April 2023
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	=The temperament tree=		=The temperament tree=
	Using the [[Normal_lists\|normal comma list]] it is possible to define a [~~http~~://en.wikipedia.org/wiki/Tree_structure tree] of temperaments of a given rank. Below is given the top level of a tree for rank two temperaments in the form of a 5-limit monzo, followed by a link to a 7-limit node of the tree. This in turn may be followed, via the hyperlinks, to further nodes in higher prime limits. Temperaments are denoted via names, wedgies, and the normal comma list. The wedgies, for those with the proper software, can be used to do all of the basic regular temperament operations, and their presence allows them to be searched for using the "Search Wiki" function. By putting together the commas in the normal list, Graham Breed's [http://x31eq.com/temper/ temperament finder] gives an alternative to wedgies for finding the properties of the temperament. The number at the end of the row is a logflat badness measure (1000 times wedgie badness.) The branches near the top tend to favor the 5-limit part of the temperament in terms of complexity, while those near the bottom tend to favor higher limits after the links are followed to those limits.		Using the [[Normal_lists\|normal comma list]] it is possible to define a [https://en.wikipedia.org/wiki/Tree_structure tree] of temperaments of a given rank. Below is given the top level of a tree for rank two temperaments in the form of a 5-limit monzo, followed by a link to a 7-limit node of the tree. This in turn may be followed, via the hyperlinks, to further nodes in higher prime limits. Temperaments are denoted via names, wedgies, and the normal comma list. The wedgies, for those with the proper software, can be used to do all of the basic regular temperament operations, and their presence allows them to be searched for using the "Search Wiki" function. By putting together the commas in the normal list, Graham Breed's [http://x31eq.com/temper/ temperament finder] gives an alternative to wedgies for finding the properties of the temperament. The number at the end of the row is a logflat badness measure (1000 times wedgie badness.) The branches near the top tend to favor the 5-limit part of the temperament in terms of complexity, while those near the bottom tend to favor higher limits after the links are followed to those limits.

	=The 5-limit top branches=		=The 5-limit top branches=
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	\| \| 4309.84584		\| \| 4309.84584
	\|}		\|}
			[[Category:Table]]
			[[Category:Lists of temperaments]]

Xenllium: /* The 5-limit top branches */

2019-06-04T06:04:38Z

The 5-limit top branches

← Older revision		Revision as of 06:04, 4 June 2019
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	\| \| [[Casablanca_node\|casablanca]]		\| \| [[Casablanca_node\|casablanca]]
	\| \| 1423.73592		\| \| 1423.73592
			\|-
			\| \| {{Monzo\|-56 9 18}}
			\| \| 75084686279296875 / 72057594037927936
			\| \| [[Ennea_node\|ennea]]
			\| \| 2019.43349
	\|-		\|-
	\| \| {{Monzo\|104 -70 3}}		\| \| {{Monzo\|104 -70 3}}

Xenllium: /* The 5-limit top branches */

2019-04-27T10:56:04Z

The 5-limit top branches

← Older revision		Revision as of 10:56, 27 April 2019
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	\| \| {{Monzo\|8 -5 0}}		\| \| {{Monzo\|8 -5 0}}
	\| \| 256 / 243		\| \| 256 / 243
	\| \| [[Limmic_node\|limmic]]		\| \| [[Limmic_node\|limmic]] (blackwood)
	\| \| 63.76017		\| \| 63.76017
	\|-		\|-
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	\| \| [[Chlorine_node\|chlorine]]		\| \| [[Chlorine_node\|chlorine]]
	\| \| 77.072		\| \| 77.072
			\|-
			\| \| {{Monzo\|32 -7 -9}}
			\| \| 4294967296 / 4271484375
			\| \| [[Escapade_node\|escapade]]
			\| \| 83.77811
	\|-		\|-
	\| \| {{Monzo\|-14 3 4}}		\| \| {{Monzo\|-14 3 4}}
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	\| \| {{Monzo\|47 -15 -10}}		\| \| {{Monzo\|47 -15 -10}}
	\| \| 140737488355328 / 140126044921875		\| \| 140737488355328 / 140126044921875
	\| \| [[Deco_node\|deco]]		\| \| [[Deco_node\|deco]] (qintosec)
	\| \| 139.19066		\| \| 139.19066
	\|-		\|-
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	\| \| {{Monzo\|-11 7 0}}		\| \| {{Monzo\|-11 7 0}}
	\| \| 2187 / 2048		\| \| 2187 / 2048
	\| \| [[Apotomic_node\|apotomic]]		\| \| [[Apotomic_node\|apotomic]] (whitewood)
	\| \| 154.65113		\| \| 154.65113
	\|-		\|-
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	\| \| {{Monzo\|-44 -3 21}}		\| \| {{Monzo\|-44 -3 21}}
	\| \| 476837158203125 / 474989023199232		\| \| 476837158203125 / 474989023199232
	\| \| [[Unit_node\|unit]]		\| \| [[Unit_node\|unit]] (mutt)
	\| \| 162.46707		\| \| 162.46707
	\|-		\|-
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	\| \| [[Amavil_node\|amavil]]		\| \| [[Amavil_node\|amavil]]
	\| \| 232.48148		\| \| 232.48148
			\|-
			\| \| {{Monzo\|-28 25 -5}}
			\| \| 847288609443 / 838860800000
			\| \| [[Pental_node\|pental]]
			\| \| 240.04961
	\|-		\|-
	\| \| {{Monzo\|9 9 -10}}		\| \| {{Monzo\|9 9 -10}}

Xenllium: /* The 5-limit top branches */

2019-04-26T10:59:53Z

The 5-limit top branches

@@ Line 114: / Line 114: @@
 | | [[Parakleismic_node|parakleismic]]
 | | 43.27862
 |-
 | | {{Monzo|3 4 -4}}
@@ Line 244: / Line 249: @@
 | | [[Mynic_node|mynic]]
 | | 249.96513
 |-
 | | {{Monzo|25 -48 22}}
@@ Line 289: / Line 299: @@
 | | [[Hemififths_node|hemififths]]
 | | 372.84807
 |-
 | | {{Monzo|-29 11 5}}
@@ Line 329: / Line 344: @@
 | | [[Slender_node|slender]]
 | | 760.56781
 |-
 | | {{Monzo|46 -29 0}}
@@ Line 349: / Line 374: @@
 | | [[Casablanca_node|casablanca]]
 | | 1423.73592
 |-
 | | {{Monzo|-49 31 0}}

Xenllium: /* The 5-limit top branches */

2019-04-26T10:26:05Z

The 5-limit top branches

Show changes

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

Show changes

Wikispaces>genewardsmith: Imported revision 322753154 - Original comment:

2012-04-19T13:43:25Z

**Imported revision 322753154 - Original comment: **

← Older revision		Revision as of 10:56, 27 April 2019
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	\| \| {{Monzo\|8 -5 0}}		\| \| {{Monzo\|8 -5 0}}
	\| \| 256 / 243		\| \| 256 / 243
	\| \| [[Limmic_node\|limmic]]		\| \| [[Limmic_node\|limmic]] (blackwood)
	\| \| 63.76017		\| \| 63.76017
	\|-		\|-
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	\| \| [[Chlorine_node\|chlorine]]		\| \| [[Chlorine_node\|chlorine]]
	\| \| 77.072		\| \| 77.072
			\|-
			\| \| {{Monzo\|32 -7 -9}}
			\| \| 4294967296 / 4271484375
			\| \| [[Escapade_node\|escapade]]
			\| \| 83.77811
	\|-		\|-
	\| \| {{Monzo\|-14 3 4}}		\| \| {{Monzo\|-14 3 4}}
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	\| \| {{Monzo\|47 -15 -10}}		\| \| {{Monzo\|47 -15 -10}}
	\| \| 140737488355328 / 140126044921875		\| \| 140737488355328 / 140126044921875
	\| \| [[Deco_node\|deco]]		\| \| [[Deco_node\|deco]] (qintosec)
	\| \| 139.19066		\| \| 139.19066
	\|-		\|-
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	\| \| {{Monzo\|-11 7 0}}		\| \| {{Monzo\|-11 7 0}}
	\| \| 2187 / 2048		\| \| 2187 / 2048
	\| \| [[Apotomic_node\|apotomic]]		\| \| [[Apotomic_node\|apotomic]] (whitewood)
	\| \| 154.65113		\| \| 154.65113
	\|-		\|-
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	\| \| {{Monzo\|-44 -3 21}}		\| \| {{Monzo\|-44 -3 21}}
	\| \| 476837158203125 / 474989023199232		\| \| 476837158203125 / 474989023199232
	\| \| [[Unit_node\|unit]]		\| \| [[Unit_node\|unit]] (mutt)
	\| \| 162.46707		\| \| 162.46707
	\|-		\|-
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	\| \| [[Amavil_node\|amavil]]		\| \| [[Amavil_node\|amavil]]
	\| \| 232.48148		\| \| 232.48148
			\|-
			\| \| {{Monzo\|-28 25 -5}}
			\| \| 847288609443 / 838860800000
			\| \| [[Pental_node\|pental]]
			\| \| 240.04961
	\|-		\|-
	\| \| {{Monzo\|9 9 -10}}		\| \| {{Monzo\|9 9 -10}}

← Older revision		Revision as of 13:43, 19 April 2012
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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:genewardsmith\|genewardsmith]] and made on <tt>~~2011~~-12-~~03 16~~:38:18 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2012-04-19 13:43:25 UTC</tt>.<br>
	: The original revision id was <tt>~~281924372~~</tt>.<br>		: The original revision id was <tt>322753154</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>
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	\|8 -5 0> [[Limmic node\|limmic]] 63.76017		\|8 -5 0> [[Limmic node\|limmic]] 63.76017
	\|12 -6 -1> [[Uncle node\|uncle]] 72.65308		\|12 -6 -1> [[Uncle node\|uncle]] 72.65308
			\|-52 -17 34> [[Chlorine node\|chlorine]] 77.072
	\|-14 3 4> [[Negri node\|negri]] 86.85590		\|-14 3 4> [[Negri node\|negri]] 86.85590
	\|-29 -11 20> [[Gammic node\|gammic]] 87.75217		\|-29 -11 20> [[Gammic node\|gammic]] 87.75217
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	\|72 0 -31> [[31-5 node]] 1402.24568		\|72 0 -31> [[31-5 node]] 1402.24568
	\|22 14 -19> [[Casablanca node\|casablanca]] 1423.73592		\|22 14 -19> [[Casablanca node\|casablanca]] 1423.73592
	\|-49 31 0> [[31-3 node]] 4309.84584		\|-49 31 0> [[31-3 node]] 4309.84584</pre></div>
	</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>Tree of rank two temperaments</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="The temperament tree"></a><!-- ws:end:WikiTextHeadingRule:0 -->The temperament tree</h1>		<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>Tree of rank two temperaments</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="The temperament tree"></a><!-- ws:end:WikiTextHeadingRule:0 -->The temperament tree</h1>
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	\|8 -5 0&gt; <a class="wiki_link" href="/Limmic%20node">limmic</a> 63.76017<br />		\|8 -5 0&gt; <a class="wiki_link" href="/Limmic%20node">limmic</a> 63.76017<br />
	\|12 -6 -1&gt; <a class="wiki_link" href="/Uncle%20node">uncle</a> 72.65308<br />		\|12 -6 -1&gt; <a class="wiki_link" href="/Uncle%20node">uncle</a> 72.65308<br />
			\|-52 -17 34&gt; <a class="wiki_link" href="/Chlorine%20node">chlorine</a> 77.072<br />
	\|-14 3 4&gt; <a class="wiki_link" href="/Negri%20node">negri</a> 86.85590<br />		\|-14 3 4&gt; <a class="wiki_link" href="/Negri%20node">negri</a> 86.85590<br />
	\|-29 -11 20&gt; <a class="wiki_link" href="/Gammic%20node">gammic</a> 87.75217<br />		\|-29 -11 20&gt; <a class="wiki_link" href="/Gammic%20node">gammic</a> 87.75217<br />

Tree of rank two temperaments - Revision history

FloraC: Unmaintained deprecated page

VectorGraphics: There are no wedgies here to begin with, but the page acts as if there are

Fredg999 category edits: Moving from Category:Table to Category:Tables using Cat-a-lot

BudjarnLambeth: Categorised this uncategorised page

Xenllium: /* The 5-limit top branches */

Xenllium: /* The 5-limit top branches */

Xenllium: /* The 5-limit top branches */

Xenllium: /* The 5-limit top branches */

Wikispaces>FREEZE at 00:00, 17 July 2018

Wikispaces>genewardsmith: **Imported revision 322753154 - Original comment: **

Wikispaces>genewardsmith: Imported revision 322753154 - Original comment: