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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>
| | The '''porcupine rank-3 family''' of [[temperament]]s [[tempering out|tempers out]] the porcupine comma or maximal diesis, [[250/243]]. If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth. |
| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-01-13 01:02:52 UTC</tt>.<br>
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| : The original revision id was <tt>291887545</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">These are the rank three temperaments tempering out the porcupine comma or maximal diesis, 250/243. If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth.
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| ==Sonic== | | == Rank-3 porcupine == |
| Commas: 55/54, 100/99
| | [[Subgroup]]: 2.3.5.7 |
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| Map: [<1 2 3 0 4|, <0 -3 -5 0 -4|, <0 0 0 1 0|]
| | [[Comma list]]: [[250/243]] |
| Generators: ~10/9 = 164.078, ~7 = 3367.841
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| EDOs: 7, 14c, 15, 22, 37, 44d, 51, 66, 73ce, 139bce, 212bce
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| Badness: 0.000523
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| ==Tikal== | | {{Mapping|legend=1| 1 2 3 0 | 0 -3 -5 0 | 0 0 0 1 }} |
| Commas: 56/55, 250/243
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| Map: [<1 2 3 0 0], <0 -3 -5 0 5|, <0 0 0 1 1|]
| | : mapping generators: ~2, ~10/9, ~7 |
| POTE generators: ~10/9 = 161.519, ~7 = 3371.046
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| EDOs: 15, 37e, 52be
| | [[Optimal tuning]]s: |
| Badness: 0.001973</pre></div>
| | * [[WE]]: ~2 = 1199.5444{{c}}, ~10/9 = 163.8881{{c}}, ~7/4 = 969.6868{{c}} |
| <h4>Original HTML content:</h4>
| | : [[error map]]: {{val| -0.456 +5.469 -7.121 -0.050 }} |
| <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>Porcupine rank three family</title></head><body>These are the rank three temperaments tempering out the porcupine comma or maximal diesis, 250/243. If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth. <br />
| | * [[CWE]]: ~2 = 1200.0000{{c}}, ~10/9 = 164.0621{{c}}, ~7/4 = 969.4180{{c}} |
| <br />
| | : error map: {{val| 0.000 +5.859 -6.624 +0.592 }} |
| <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Sonic"></a><!-- ws:end:WikiTextHeadingRule:0 -->Sonic</h2>
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| Commas: 55/54, 100/99<br />
| | {{Optimal ET sequence|legend=1| 7d, 8d, 14c, 15, 22, 37, 51, 73c }} |
| <br />
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| Map: [&lt;1 2 3 0 4|, &lt;0 -3 -5 0 -4|, &lt;0 0 0 1 0|]<br />
| | [[Badness]] (Sintel): 2.36 |
| Generators: ~10/9 = 164.078, ~7 = 3367.841<br />
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| EDOs: 7, 14c, 15, 22, 37, 44d, 51, 66, 73ce, 139bce, 212bce<br />
| | == Sonic == |
| Badness: 0.000523<br /> | | [[Subgroup]]: 2.3.5.7.11 |
| <br />
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| <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-Tikal"></a><!-- ws:end:WikiTextHeadingRule:2 -->Tikal</h2>
| | [[Comma list]]: 55/54, 100/99 |
| Commas: 56/55, 250/243<br />
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| <br />
| | {{Mapping|legend=1| 1 2 3 0 4 | 0 -3 -5 0 -4 | 0 0 0 1 0 }} |
| Map: [&lt;1 2 3 0 0], &lt;0 -3 -5 0 5|, &lt;0 0 0 1 1|]<br />
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| POTE generators: ~10/9 = 161.519, ~7 = 3371.046<br />
| | [[Optimal tuning]]s: |
| EDOs: 15, 37e, 52be<br />
| | * [[WE]]: ~2 = 1200.3290{{c}}, ~11/10 = 164.1227{{c}}, ~7/4 = 968.1067{{c}} |
| Badness: 0.001973</body></html></pre></div> | | : [[error map]]: {{val| +0.329 +6.335 -5.940 -0.061 -6.492 }} |
| | * [[CWE]]: ~2 = 1200.0000{{c}}, ~11/10 = 163.9951{{c}}, ~7/4 = 968.2673{{c}} |
| | : error map: {{val| 0.000 +6.060 -6.289 -0.559 -7.298 }} |
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| | {{Optimal ET sequence|legend=1| 7d, 8d, 14c, 15, 22, 37, 51, 88b }} |
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| | [[Badness]] (Sintel): 0.629 |
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| | == Tikal == |
| | [[Subgroup]]: 2.3.5.7.11 |
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| | [[Comma list]]: 56/55, 250/243 |
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| | {{Mapping|legend=1| 1 2 3 0 0 | 0 -3 -5 0 5 | 0 0 0 1 1 }} |
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| | [[Optimal tuning]]s: |
| | * [[WE]]: ~2 = 1195.9857{{c}}, ~11/10 = 160.9790{{c}}, ~7/4 = 967.7973{{c}} |
| | : [[error map]]: {{val| -4.014 +7.079 -3.252 -9.057 +13.346 }} |
| | * [[CWE]]: ~2 = 1200.0000{{c}}, ~11/10 = 162.1977{{c}}, ~7/4 = 964.6202{{c}} |
| | : error map: {{val| 0.000 +11.452 +2.698 -4.206 +24.291 }} |
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| | {{Optimal ET sequence|legend=1| 7d, 8d, 15, 30dee, 37ee, 52bee }} |
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| | [[Badness]] (Sintel): 2.37 |
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| | [[Category:Porcupine rank-3 family| ]] <!-- main article --> |
| | [[Category:Porcupine| ]] <!-- key article --> |
| | [[Category:Temperament families]] |
| | [[Category:Catalogs of rank-3 temperaments]] |