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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | =5-9-13-15= |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | 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. |
| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-04 03:55:38 UTC</tt>.<br>
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| : The original revision id was <tt>244264131</tt>.<br>
| | =9-11-13-15= |
| : The revision comment was: <tt></tt><br>
| | 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. |
| 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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| <h4>Original Wikitext content:</h4>
| | [[Category:15-odd-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;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>
| | [[Category:Tetrads]] |
| <h4>Original HTML content:</h4>
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| <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>
| | {{Todo| cleanup | discuss title }} |
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 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.