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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Technical data page}} |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-05-20 12:14:14 UTC</tt>.<br>
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| : The original revision id was <tt>230369678</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| 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>
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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;white-space: pre-wrap ! important" class="old-revision-html">=__**Welcome to the Temperament Orphanage**__=
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| ==These temperaments need to be adopted into a family==
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| These are some temperaments that were found floating around. It isn't clear what family they belong to, so for now they're in the temperament orphanage. Should you know how to match these temperaments back up with their temperament family, feel free to remove them from the orphanage and put them on the right page. If a temperament listed doesn't have a name, give it a name.
| | '''Welcome to the temperament orphanage!''' |
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| Please give a short description of whatever temperament you leave here so that someone can help to match this temperament back to its rightful progenitors.
| | These temperaments need to be adopted into a family. |
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| ==Gravity - 5-limit - tempers 129140163/128000000==
| | These are some temperaments that were found floating around. It is not clear what family they belong to, so for now they are in the temperament orphanage. Should you know how to match these temperaments back up with their temperament family, feel free to remove them from the orphanage and put them on the right page. If a temperament listed does not have a name, give it a name. |
| 5&67 temperament. It equates (81/80)^4 with 25/24. It is so named because the generator is a "Grave" fifth (or 27/20). It is part of the Mavila -> Dicot -> Porcupine -> Tetracot -> Amity continuum, whereby (81/80)^n = 25/24.
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| POTE generator: ~27/20 = 516.844 cents
| | Please give a short description of whatever temperament you leave here so that someone can help to match this temperament back to its rightful progenitors. |
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| Map: [<1 5 12|, <0 -6 -17|]
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| EDOs: 7, 58, 65, 137, 202, 267, 469
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| Tempering out 65625/65536 does little damage to tuning accuracy but results in a very complex temperament.
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| [[@http://x31eq.com/cgi-bin/rt.cgi?ets=65_7&limit=5|http://x31eq.com/cgi-bin/rt. cgi?ets=65_7&limit=5]] | | == Lafa (65 & 441) == |
| | This temperament was named by [[Petr Pařízek]] in 2011, referring to the characteristic that stacking 12 generators makes 6/1 – "l" for 12, "f" for 6<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101780.html Yahoo! Tuning Group | ''Suggested names for the unclasified temperaments'']</ref>. |
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| ==Absurdity - 5-limit - tempers 10460353203/10240000000==
| | Subgroup: 2.3.5 |
| 5&84 temperament. So named because this is just an absurd temperament. If you have a better name for it then it doesn't have to be absurdity anymore. The generator is 81/80 and the period is 800/729, which is (10/9) / (81/80). This is also a part of the syntonic-chromatic equivalence continuum, in this case where (81/80)^5 = 25/24.
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| [[@http://x31eq.com/cgi-bin/rt.cgi?ets=7_84&limit=5|http://x31eq.com/cgi-bin/rt. cgi?ets=7_84&limit=5]]
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| ==**7&49** - 5-limit - tempers 5000000/4782969==
| | Comma list: {{monzo| 77 -31 -12 }} |
| This is a fairly obvious temperament; it just equates 7 10/9's with a 2/1, hence the period is 10/9. One generator from 5\7 puts you at 3/2, two generators from 2\7 puts you at 5/4.
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| POTE generator: ~3/2 = 706.288 cents
| | Mapping: {{mapping| 1 11 -22 | 0 -12 31 }} |
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| Map: [<7 0 -6|, <0 1 2|]
| | : Mapping generators: ~2, ~{{monzo| 33 -13 -5 }} |
| EDOs: 7, 42, 49, 56, 119
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| Adding 875/864 to the commas extends this to the 7-limit:
| | Optimal tuning (POTE): ~2 = 1\1, ~{{monzo| 33 -13 -5 }} = 941.4971 |
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| POTE generator: ~3/2 = 705.613 cents
| | {{Optimal ET sequence|legend=1| 65, 246, 311, 376, 441, 2711, 3152, 3593, 4034, 4475, 4916, 5357 }} |
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| Map: [<7 0 -6 53|, <0 1 2 -3|]
| | Badness: 0.184510 |
| EDOs: 7, 56, 63, 119
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| [[http://x31eq.com/cgi-bin/rt.cgi?ets=7_49&limit=5]]
| | == Notes == |
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| ==**7&**49c - 5-limit - not sure what is tempered==
| | [[Category:Regular temperament theory]] |
| This is similar to the above, but provides a less complex avenue to 5, but this time at the sake of accuracy. One generator from 5\7 puts you at 3/2, and one generator from 2\7 puts you at 5/4.
| | [[Category:Temperament collections|*]] |
| [[http://x31eq.com/cgi-bin/rt.cgi?ets=7_49c&limit=5]]</pre></div> | |
| <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>TemperamentOrphanage</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Welcome to the Temperament Orphanage"></a><!-- ws:end:WikiTextHeadingRule:0 --><u><strong>Welcome to the Temperament Orphanage</strong></u></h1>
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| <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Welcome to the Temperament Orphanage-These temperaments need to be adopted into a family"></a><!-- ws:end:WikiTextHeadingRule:2 -->These temperaments need to be adopted into a family</h2>
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| <br />
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| These are some temperaments that were found floating around. It isn't clear what family they belong to, so for now they're in the temperament orphanage. Should you know how to match these temperaments back up with their temperament family, feel free to remove them from the orphanage and put them on the right page. If a temperament listed doesn't have a name, give it a name.<br />
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| <br />
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| Please give a short description of whatever temperament you leave here so that someone can help to match this temperament back to its rightful progenitors.<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Welcome to the Temperament Orphanage-Gravity - 5-limit - tempers 129140163/128000000"></a><!-- ws:end:WikiTextHeadingRule:4 -->Gravity - 5-limit - tempers 129140163/128000000</h2>
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| 5&amp;67 temperament. It equates (81/80)^4 with 25/24. It is so named because the generator is a &quot;Grave&quot; fifth (or 27/20). It is part of the Mavila -&gt; Dicot -&gt; Porcupine -&gt; Tetracot -&gt; Amity continuum, whereby (81/80)^n = 25/24.<br />
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| <br />
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| POTE generator: ~27/20 = 516.844 cents<br />
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| <br />
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| Map: [&lt;1 5 12|, &lt;0 -6 -17|]<br />
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| EDOs: 7, 58, 65, 137, 202, 267, 469<br />
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| <br />
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| Tempering out 65625/65536 does little damage to tuning accuracy but results in a very complex temperament.<br />
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| <br />
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| <a class="wiki_link_ext" href="http://x31eq.com/cgi-bin/rt.cgi?ets=65_7&amp;limit=5" rel="nofollow" target="_blank">http://x31eq.com/cgi-bin/rt. cgi?ets=65_7&amp;limit=5</a><br />
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| <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Welcome to the Temperament Orphanage-Absurdity - 5-limit - tempers 10460353203/10240000000"></a><!-- ws:end:WikiTextHeadingRule:6 -->Absurdity - 5-limit - tempers 10460353203/10240000000</h2>
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| 5&amp;84 temperament. So named because this is just an absurd temperament. If you have a better name for it then it doesn't have to be absurdity anymore. The generator is 81/80 and the period is 800/729, which is (10/9) / (81/80). This is also a part of the syntonic-chromatic equivalence continuum, in this case where (81/80)^5 = 25/24.<br />
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| <a class="wiki_link_ext" href="http://x31eq.com/cgi-bin/rt.cgi?ets=7_84&amp;limit=5" rel="nofollow" target="_blank">http://x31eq.com/cgi-bin/rt. cgi?ets=7_84&amp;limit=5</a><br />
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| <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Welcome to the Temperament Orphanage-7&amp;49 - 5-limit - tempers 5000000/4782969"></a><!-- ws:end:WikiTextHeadingRule:8 --><strong>7&amp;49</strong> - 5-limit - tempers 5000000/4782969</h2>
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| This is a fairly obvious temperament; it just equates 7 10/9's with a 2/1, hence the period is 10/9. One generator from 5\7 puts you at 3/2, two generators from 2\7 puts you at 5/4.<br />
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| <br />
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| POTE generator: ~3/2 = 706.288 cents<br />
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| <br />
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| Map: [&lt;7 0 -6|, &lt;0 1 2|]<br />
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| EDOs: 7, 42, 49, 56, 119<br />
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| <br />
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| Adding 875/864 to the commas extends this to the 7-limit:<br />
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| <br />
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| POTE generator: ~3/2 = 705.613 cents<br />
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| <br />
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| Map: [&lt;7 0 -6 53|, &lt;0 1 2 -3|]<br />
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| EDOs: 7, 56, 63, 119<br />
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| <br />
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| <a class="wiki_link_ext" href="http://x31eq.com/cgi-bin/rt.cgi?ets=7_49&amp;limit=5" rel="nofollow">http://x31eq.com/cgi-bin/rt.cgi?ets=7_49&amp;limit=5</a><br />
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| <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Welcome to the Temperament Orphanage-7&amp;49c - 5-limit - not sure what is tempered"></a><!-- ws:end:WikiTextHeadingRule:10 --><strong>7&amp;</strong>49c - 5-limit - not sure what is tempered</h2>
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| This is similar to the above, but provides a less complex avenue to 5, but this time at the sake of accuracy. One generator from 5\7 puts you at 3/2, and one generator from 2\7 puts you at 5/4.<br />
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| <a class="wiki_link_ext" href="http://x31eq.com/cgi-bin/rt.cgi?ets=7_49c&amp;limit=5" rel="nofollow">http://x31eq.com/cgi-bin/rt.cgi?ets=7_49c&amp;limit=5</a></body></html></pre></div>
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