Fifteen limit tetrads - Revision history

FloraC: Recategorize; +todo

2023-05-23T12:01:50Z

Recategorize; +todo

← Older revision		Revision as of 12:01, 23 May 2023
Line 4:		Line 4:
	=9-11-13-15=		=9-11-13-15=
	These two tetrads are the otonal, 1-15/13-15/11-5/3, with steps of 15/13-13/11-11/9-6/5, and the utonal, 1-11/9-13/9-5/3 with steps of 11/9-13/11-15/13-6/5.		These two tetrads are the otonal, 1-15/13-15/11-5/3, with steps of 15/13-13/11-11/9-6/5, and the utonal, 1-11/9-13/9-5/3 with steps of 11/9-13/11-15/13-6/5.

	[[Category:15-odd-limit]]		[[Category:15-odd-limit]]
	[[Category:~~Chords~~]]		[[Category:Tetrads]]
	~~[[Category:Tetrad]]~~
			{{Todo\| cleanup \| discuss title }}

BudjarnLambeth at 07:19, 20 April 2023

2023-04-20T07:19:18Z

← Older revision		Revision as of 07:19, 20 April 2023
Line 1:		Line 1:
	=5-9-13-15=		=5-9-13-15=
	The two ''[[trinidad]] [[Tetrad\|tetrads]]'' are [[15-limit tonality diamond\|15-limit]] tetrads with no step size smaller than [[10/9]] and containing an interval of a fifth; these are the [[Otonality and utonality\|otonal]] trinidad tetrad, 1-[[13/10]]-[[3/2]]-[[9/5]], with steps 13/10-[[15/13]]-[[6/5]]-10/9, and the [[Otonality and utonality\|utonal]] trinidad tetrad, 1-15/13-3/2-[[5/3]], with steps 15/13-13/10-10/9-6/5. These are just intonation tetrads and do not require tempering in [[The_Archipelago#Subgroup temperaments\|trinidad temperament]] or anything else, but they do belong to the same 2.3.5.13 [[Just intonation subgroup\|subgroup]] on which trinidad is defined and are certainly characteristic of the temperament.		The two ''[[trinidad]] [[Tetrad\|tetrads]]'' are [[15-limit tonality diamond\|15-limit]] tetrads with no step size smaller than [[10/9]] and containing an interval of a fifth; these are the [[Otonality and utonality\|otonal]] trinidad tetrad, 1-13/10-3/2-9/5, with steps 13/10-15/13-6/5-10/9, and the [[Otonality and utonality\|utonal]] trinidad tetrad, 1-15/13-3/2-5/3, with steps 15/13-13/10-10/9-6/5. These are just intonation tetrads and do not require tempering in [[The_Archipelago#Subgroup temperaments\|trinidad temperament]] or anything else, but they do belong to the same 2.3.5.13 [[Just intonation subgroup\|subgroup]] on which trinidad is defined and are certainly characteristic of the temperament.

	=9-11-13-15=		=9-11-13-15=
	These two tetrads are the otonal, 1-15/13-[[15/11]]-5/3, with steps of 15/13-[[13/11]]-[[11/9]]-6/5, and the utonal, 1-[[11/9]]-[[13/9]]-5/3 with steps of 11/9-13/11-15/13-6/5.		These two tetrads are the otonal, 1-15/13-15/11-5/3, with steps of 15/13-13/11-11/9-6/5, and the utonal, 1-11/9-13/9-5/3 with steps of 11/9-13/11-15/13-6/5.
	[[Category:15-odd-limit]]		[[Category:15-odd-limit]]
	[[Category:Chords]]		[[Category:Chords]]
	[[Category:Tetrad]]		[[Category:Tetrad]]

BudjarnLambeth: Added links (as requested by the to:do notice)

2023-04-20T07:18:28Z

Added links (as requested by the to:do notice)

← Older revision		Revision as of 07:18, 20 April 2023
Line 1:		Line 1:
	=5-9-13-15=		=5-9-13-15=
	The two ''trinidad tetrads'' are 15-limit tetrads with no step size smaller than 10/9 and containing an interval of a fifth; these are the otonal trinidad tetrad, 1-13/10-3/2-9/5, with steps 13/10-15/13-6/5-10/9, and the utonal trinidad tetrad, 1-15/13-3/2-5/3, with steps 15/13-13/10-10/9-6/5. These are just intonation tetrads and do not require tempering in [[The_Archipelago#Subgroup temperaments\|trinidad temperament]] or anything else, but they do belong to the same 2.3.5.13 subgroup on which trinidad is defined and are certainly characteristic of the temperament.		The two ''[[trinidad]] [[Tetrad\|tetrads]]'' are [[15-limit tonality diamond\|15-limit]] tetrads with no step size smaller than [[10/9]] and containing an interval of a fifth; these are the [[Otonality and utonality\|otonal]] trinidad tetrad, 1-[[13/10]]-[[3/2]]-[[9/5]], with steps 13/10-[[15/13]]-[[6/5]]-10/9, and the [[Otonality and utonality\|utonal]] trinidad tetrad, 1-15/13-3/2-[[5/3]], with steps 15/13-13/10-10/9-6/5. These are just intonation tetrads and do not require tempering in [[The_Archipelago#Subgroup temperaments\|trinidad temperament]] or anything else, but they do belong to the same 2.3.5.13 [[Just intonation subgroup\|subgroup]] on which trinidad is defined and are certainly characteristic of the temperament.

	=9-11-13-15=		=9-11-13-15=
	These two tetrads are the otonal, 1-15/13-15/11-5/3, with steps of 15/13-13/11-11/9-6/5, and the utonal, 1-11/9-13/9-5/3 with steps of 11/9-13/11-15/13-6/5.		These two tetrads are the otonal, 1-15/13-[[15/11]]-5/3, with steps of 15/13-[[13/11]]-[[11/9]]-6/5, and the utonal, 1-[[11/9]]-[[13/9]]-5/3 with steps of 11/9-13/11-15/13-6/5.
	[[Category:15-odd-limit]]		[[Category:15-odd-limit]]
	[[Category:Chords]]		[[Category:Chords]]
	[[Category:Tetrad]]		[[Category:Tetrad]]
	~~[[Category:Todo:add links]]~~

Fredg999 category edits: Moving from Category:15-limit to Category:15-odd-limit using Cat-a-lot

2023-04-20T02:43:29Z

Moving from Category:15-limit to Category:15-odd-limit using Cat-a-lot

← Older revision		Revision as of 02:43, 20 April 2023
Line 4:		Line 4:
	=9-11-13-15=		=9-11-13-15=
	These two tetrads are the otonal, 1-15/13-15/11-5/3, with steps of 15/13-13/11-11/9-6/5, and the utonal, 1-11/9-13/9-5/3 with steps of 11/9-13/11-15/13-6/5.		These two tetrads are the otonal, 1-15/13-15/11-5/3, with steps of 15/13-13/11-11/9-6/5, and the utonal, 1-11/9-13/9-5/3 with steps of 11/9-13/11-15/13-6/5.
	[[Category:15-limit]]		[[Category:15-odd-limit]]
	[[Category:Chords]]		[[Category:Chords]]
	[[Category:Tetrad]]		[[Category:Tetrad]]
	[[Category:Todo:add links]]		[[Category:Todo:add links]]

ResonantFrequencies: re-categorisation (AWB), typos fixed: trinidad → Trinidad (4)

2019-06-30T00:37:22Z

re-categorisation (AWB), typos fixed: trinidad → Trinidad (4)

← Older revision		Revision as of 00:37, 30 June 2019
Line 5:		Line 5:
	These two tetrads are the otonal, 1-15/13-15/11-5/3, with steps of 15/13-13/11-11/9-6/5, and the utonal, 1-11/9-13/9-5/3 with steps of 11/9-13/11-15/13-6/5.		These two tetrads are the otonal, 1-15/13-15/11-5/3, with steps of 15/13-13/11-11/9-6/5, and the utonal, 1-11/9-13/9-5/3 with steps of 11/9-13/11-15/13-6/5.
	[[Category:15-limit]]		[[Category:15-limit]]
	[[Category:~~chord~~]]		[[Category:Chords]]
	[[Category:~~tetrad~~]]		[[Category:Tetrad]]
	[[Category:~~todo~~:~~add_links~~]]		[[Category:Todo:add links]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

← Older revision		Revision as of 00:00, 17 July 2018
Line 1:		Line 1:
	~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~
	~~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>2011-08-05 00:42:12 UTC</tt>.<br>~~
	~~: The original revision id was <tt>244437687</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">
	=5-9-13-15=		=5-9-13-15=
	The two //trinidad tetrads// are 15-limit tetrads with no step size smaller than 10/9 and containing an interval of a fifth; these are the otonal trinidad tetrad, 1-13/10-3/2-9/5, with steps 13/10-15/13-6/5-10/9, and the utonal trinidad tetrad, 1-15/13-3/2-5/3, with steps 15/13-13/10-10/9-6/5. These are just intonation tetrads and do not require tempering in [[~~The Archipelago~~#Subgroup temperaments\|trinidad temperament]] or anything else, but they do belong to the same 2.3.5.13 subgroup on which trinidad is defined and are certainly characteristic of the temperament.		The two ''trinidad tetrads'' are 15-limit tetrads with no step size smaller than 10/9 and containing an interval of a fifth; these are the otonal trinidad tetrad, 1-13/10-3/2-9/5, with steps 13/10-15/13-6/5-10/9, and the utonal trinidad tetrad, 1-15/13-3/2-5/3, with steps 15/13-13/10-10/9-6/5. These are just intonation tetrads and do not require tempering in [[The_Archipelago#Subgroup temperaments\|trinidad temperament]] or anything else, but they do belong to the same 2.3.5.13 subgroup on which trinidad is defined and are certainly characteristic of the temperament.

	=9-11-13-15=		=9-11-13-15=
	These two tetrads are the otonal, 1-15/13-15/11-5/3, with steps of 15/13-13/11-11/9-6/5, and the utonal, 1-11/9-13/9-5/3 with steps of 11/9-13/11-15/13-6/5.~~</pre></div>~~		These two tetrads are the otonal, 1-15/13-15/11-5/3, with steps of 15/13-13/11-11/9-6/5, and the utonal, 1-11/9-13/9-5/3 with steps of 11/9-13/11-15/13-6/5.
	~~<h4>Original HTML content~~:~~</h4>~~		[[Category:15-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>fifteen~~ limit ~~tetrads</title></head><body><br />~~		[[Category:chord]]
	~~<!-- ws~~:~~start~~:~~WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x5-9-13-15"></a><!-- ws:end:WikiTextHeadingRule:0 -->5-9-13-15</h1>~~		[[Category:tetrad]]
	The two <em>trinidad tetrads</em> are 15-limit tetrads with no step size smaller than 10/9 and containing an interval of a fifth; these are the otonal trinidad tetrad, 1-13/10-3/2-9/5, with steps 13/10-15/13-6/5-10/9, and the utonal trinidad tetrad, 1-15/13-3/2-5/3, with steps 15/13-13/10-10/9-6/5. These are just intonation tetrads and do not require tempering in <a class="wiki_link" href="/The%20Archipelago#Subgroup temperaments">trinidad temperament</a> or anything else, but they do belong to the same 2.3.5.13 subgroup on which trinidad is defined and are certainly characteristic of the temperament.<br />		[[Category:todo:add_links]]
	~~<br />~~
	~~<!-- ws:start~~:~~WikiTextHeadingRule~~:~~2:&lt;h1&gt; --><h1 id="toc1"><a name="x9-11-13-15"></a><!-- ws:end:WikiTextHeadingRule:2 -->9-11-13-15</h1>~~
	~~These two tetrads are the otonal, 1-15/13-15/11-5/3, with steps of 15/13-13/11-11/9-6/5, and the utonal, 1-11/9-13/9-5/3 with steps of 11/9-13/11-15/13-6/5.</body></html></pre></div>~~

Wikispaces>genewardsmith: Imported revision 244437687 - Original comment:

2011-08-05T00:42:12Z

**Imported revision 244437687 - Original comment: **

← Older revision		Revision as of 00:42, 5 August 2011
Line 1:		Line 1:
	<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>2011-08-05 00:29:45 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-08-05 00:42:12 UTC</tt>.<br>
	: The original revision id was <tt>~~244436083~~</tt>.<br>		: The original revision id was <tt>244437687</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 two //trinidad tetrads// are 15-limit tetrads with no step size smaller than 10/9; ~~they~~ are the otonal trinidad tetrad, 1-13/10-3/2-9/5, with steps 13/10-15/13-6/5-10/9, and the utonal trinidad tetrad, 1-15/13-3/2-5/3, with steps 15/13-13/10-10/9-6/5. These are just intonation tetrads and do not require tempering in [[The Archipelago#Subgroup temperaments\|trinidad temperament]] or anything else, but they do belong to the same 2.3.5.13 subgroup on which trinidad is defined and are certainly characteristic of the temperament.</pre></div>		<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">
			=5-9-13-15=
			The two //trinidad tetrads// are 15-limit tetrads with no step size smaller than 10/9 and containing an interval of a fifth; these are the otonal trinidad tetrad, 1-13/10-3/2-9/5, with steps 13/10-15/13-6/5-10/9, and the utonal trinidad tetrad, 1-15/13-3/2-5/3, with steps 15/13-13/10-10/9-6/5. These are just intonation tetrads and do not require tempering in [[The Archipelago#Subgroup temperaments\|trinidad temperament]] or anything else, but they do belong to the same 2.3.5.13 subgroup on which trinidad is defined and are certainly characteristic of the temperament.

			=9-11-13-15=
			These two tetrads are the otonal, 1-15/13-15/11-5/3, with steps of 15/13-13/11-11/9-6/5, and the utonal, 1-11/9-13/9-5/3 with steps of 11/9-13/11-15/13-6/5.</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>fifteen limit tetrads</title></head><body>The two <em>trinidad tetrads</em> are 15-limit tetrads with no step size smaller than 10/9; ~~they~~ are the otonal trinidad tetrad, 1-13/10-3/2-9/5, with steps 13/10-15/13-6/5-10/9, and the utonal trinidad tetrad, 1-15/13-3/2-5/3, with steps 15/13-13/10-10/9-6/5. These are just intonation tetrads and do not require tempering in <a class="wiki_link" href="/The%20Archipelago#Subgroup temperaments">trinidad temperament</a> or anything else, but they do belong to the same 2.3.5.13 subgroup on which trinidad is defined and are certainly characteristic of the temperament.</body></html></pre></div>		<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>fifteen limit tetrads</title></head><body><br />
			<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x5-9-13-15"></a><!-- ws:end:WikiTextHeadingRule:0 -->5-9-13-15</h1>
			The two <em>trinidad tetrads</em> are 15-limit tetrads with no step size smaller than 10/9 and containing an interval of a fifth; these are the otonal trinidad tetrad, 1-13/10-3/2-9/5, with steps 13/10-15/13-6/5-10/9, and the utonal trinidad tetrad, 1-15/13-3/2-5/3, with steps 15/13-13/10-10/9-6/5. These are just intonation tetrads and do not require tempering in <a class="wiki_link" href="/The%20Archipelago#Subgroup temperaments">trinidad temperament</a> or anything else, but they do belong to the same 2.3.5.13 subgroup on which trinidad is defined and are certainly characteristic of the temperament.<br />
			<br />
			<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="x9-11-13-15"></a><!-- ws:end:WikiTextHeadingRule:2 -->9-11-13-15</h1>
			These two tetrads are the otonal, 1-15/13-15/11-5/3, with steps of 15/13-13/11-11/9-6/5, and the utonal, 1-11/9-13/9-5/3 with steps of 11/9-13/11-15/13-6/5.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 244436083 - Original comment:

2011-08-05T00:29:45Z

**Imported revision 244436083 - Original comment: **

← Older revision		Revision as of 00:29, 5 August 2011
Line 1:		Line 1:
	<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>2011-08-~~04 03~~:56:33 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-08-05 00:29:45 UTC</tt>.<br>
	: The original revision id was <tt>~~244264175~~</tt>.<br>		: The original revision id was <tt>244436083</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 two //trinidad tetrads// are ~~the only two~~ 15-limit tetrads with no step size smaller than 10/9; they are the otonal trinidad tetrad, 1-13/10-3/2-9/5, with steps 13/10-15/13-6/5-10/9, and the utonal trinidad tetrad, 1-15/13-3/2-5/3, with steps 15/13-13/10-10/9-6/5. These are just intonation tetrads and do not require tempering in [[The Archipelago#Subgroup temperaments\|trinidad temperament]] or anything else, but they do belong to the same 2.3.5.13 subgroup on which trinidad is defined and are certainly characteristic of the temperament.</pre></div>		<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 two //trinidad tetrads// are 15-limit tetrads with no step size smaller than 10/9; they are the otonal trinidad tetrad, 1-13/10-3/2-9/5, with steps 13/10-15/13-6/5-10/9, and the utonal trinidad tetrad, 1-15/13-3/2-5/3, with steps 15/13-13/10-10/9-6/5. These are just intonation tetrads and do not require tempering in [[The Archipelago#Subgroup temperaments\|trinidad temperament]] or anything else, but they do belong to the same 2.3.5.13 subgroup on which trinidad is defined and are certainly characteristic of the temperament.</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>fifteen limit tetrads</title></head><body>The two <em>trinidad tetrads</em> are ~~the only two~~ 15-limit tetrads with no step size smaller than 10/9; they are the otonal trinidad tetrad, 1-13/10-3/2-9/5, with steps 13/10-15/13-6/5-10/9, and the utonal trinidad tetrad, 1-15/13-3/2-5/3, with steps 15/13-13/10-10/9-6/5. These are just intonation tetrads and do not require tempering in <a class="wiki_link" href="/The%20Archipelago#Subgroup temperaments">trinidad temperament</a> or anything else, but they do belong to the same 2.3.5.13 subgroup on which trinidad is defined and are certainly characteristic of the temperament.</body></html></pre></div>		<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>fifteen limit tetrads</title></head><body>The two <em>trinidad tetrads</em> are 15-limit tetrads with no step size smaller than 10/9; they are the otonal trinidad tetrad, 1-13/10-3/2-9/5, with steps 13/10-15/13-6/5-10/9, and the utonal trinidad tetrad, 1-15/13-3/2-5/3, with steps 15/13-13/10-10/9-6/5. These are just intonation tetrads and do not require tempering in <a class="wiki_link" href="/The%20Archipelago#Subgroup temperaments">trinidad temperament</a> or anything else, but they do belong to the same 2.3.5.13 subgroup on which trinidad is defined and are certainly characteristic of the temperament.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 244264175 - Original comment:

2011-08-04T03:56:33Z

**Imported revision 244264175 - Original comment: **

← Older revision		Revision as of 03:56, 4 August 2011
Line 1:		Line 1:
	<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>2011-08-04 03:55:38 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-08-04 03:56:33 UTC</tt>.<br>
	: The original revision id was <tt>~~244264131~~</tt>.<br>		: The original revision id was <tt>244264175</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 two //trinidad tetrads// are the only two 15-limit tetrads with no step size smaller than 10/9; they are the otonal trinidad tetrad, 1-13/10-3/2-9/5, with steps 13/10-15/13-6/5-10/9, and the utonal trinidad tetrad, 1-15/13-3/2-5/3, with steps 15/13-13/10-10/9-6/5. These are just intonation tetrads and do not require tempering in [[The Archipelago#Subgroup temperaments\|trinidad temperament]] or anything else, they do belong to the same 2.3.5.13 subgroup on which trinidad is defined and are certainly characteristic of the temperament.</pre></div>		<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 two //trinidad tetrads// are the only two 15-limit tetrads with no step size smaller than 10/9; they are the otonal trinidad tetrad, 1-13/10-3/2-9/5, with steps 13/10-15/13-6/5-10/9, and the utonal trinidad tetrad, 1-15/13-3/2-5/3, with steps 15/13-13/10-10/9-6/5. These are just intonation tetrads and do not require tempering in [[The Archipelago#Subgroup temperaments\|trinidad temperament]] or anything else, but they do belong to the same 2.3.5.13 subgroup on which trinidad is defined and are certainly characteristic of the temperament.</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>fifteen limit tetrads</title></head><body>The two <em>trinidad tetrads</em> are the only two 15-limit tetrads with no step size smaller than 10/9; they are the otonal trinidad tetrad, 1-13/10-3/2-9/5, with steps 13/10-15/13-6/5-10/9, and the utonal trinidad tetrad, 1-15/13-3/2-5/3, with steps 15/13-13/10-10/9-6/5. These are just intonation tetrads and do not require tempering in <a class="wiki_link" href="/The%20Archipelago#Subgroup temperaments">trinidad temperament</a> or anything else, they do belong to the same 2.3.5.13 subgroup on which trinidad is defined and are certainly characteristic of the temperament.</body></html></pre></div>		<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>fifteen limit tetrads</title></head><body>The two <em>trinidad tetrads</em> are the only two 15-limit tetrads with no step size smaller than 10/9; they are the otonal trinidad tetrad, 1-13/10-3/2-9/5, with steps 13/10-15/13-6/5-10/9, and the utonal trinidad tetrad, 1-15/13-3/2-5/3, with steps 15/13-13/10-10/9-6/5. These are just intonation tetrads and do not require tempering in <a class="wiki_link" href="/The%20Archipelago#Subgroup temperaments">trinidad temperament</a> or anything else, but they do belong to the same 2.3.5.13 subgroup on which trinidad is defined and are certainly characteristic of the temperament.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 244264131 - Original comment:

2011-08-04T03:55:38Z

**Imported revision 244264131 - Original comment: **

New page

<h2>IMPORTED REVISION FROM WIKISPACES</h2>
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>2011-08-04 03:55:38 UTC</tt>.<br>
: The original revision id was <tt>244264131</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">The two //trinidad tetrads// are the only two 15-limit tetrads with no step size smaller than 10/9; they are the otonal trinidad tetrad, 1-13/10-3/2-9/5, with steps 13/10-15/13-6/5-10/9, and the utonal trinidad tetrad, 1-15/13-3/2-5/3, with steps 15/13-13/10-10/9-6/5. These are just intonation tetrads and do not require tempering in [[The Archipelago#Subgroup temperaments|trinidad temperament]] or anything else, they do belong to the same 2.3.5.13 subgroup on which trinidad is defined and are certainly characteristic of the temperament.</pre></div>
<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>fifteen limit tetrads</title></head><body>The two <em>trinidad tetrads</em> are the only two 15-limit tetrads with no step size smaller than 10/9; they are the otonal trinidad tetrad, 1-13/10-3/2-9/5, with steps 13/10-15/13-6/5-10/9, and the utonal trinidad tetrad, 1-15/13-3/2-5/3, with steps 15/13-13/10-10/9-6/5. These are just intonation tetrads and do not require tempering in <a class="wiki_link" href="/The%20Archipelago#Subgroup temperaments">trinidad temperament</a> or anything else, they do belong to the same 2.3.5.13 subgroup on which trinidad is defined and are certainly characteristic of the temperament.</body></html></pre></div>