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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> | | This is a collection of [[rank-2 temperament|rank-2]] [[temperament]]s [[tempering out]] the avicennma, [[525/512]], also known as Avicenna's enharmonic diesis. |
| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-02-26 02:03:15 UTC</tt>.<br>
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| : The original revision id was <tt>205196258</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 temper out the avicennma, 525/512, also known as Avicenna's enharmonic diesis.
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| ==Roman==
| | Tempereaments discussed elsewhere are: |
| Commas: 525/512, 4000/3969
| | * ''[[Dichotic]]'' (+25/24) → [[Dicot family #Dichotic|Dicot family]] |
| | * ''[[Armodue (temperament)|Armodue]]'' (+36/35) → [[Mavila family #Pelogic|Mavila family]] |
| | * [[Negri]] (+49/48) → [[Semaphoresmic clan #Negri|Semaphoresmic clan]] |
| | * [[Lemba]] (+50/49) → [[Jubilismic clan #Lemba|Jubilismic clan]] |
| | * [[Flattone]] (+81/80) → [[Meantone family #Flattone|Meantone family]] |
| | * [[Muggles]] (+126/125) → [[Magic family #Muggles|Magic family]] |
| | * ''[[Deflated]]'' (+21/20) → [[Augmented family #Deflated|Augmented family]] |
| | * ''[[Pycnic]]'' (+245/243) → [[Sensamagic clan #Pycnic|Sensamagic clan]] |
| | * ''[[Secund]]'' (+405/392) → [[Greenwoodmic temperaments #Secund|Greenwoodmic temperaments]] |
| | * ''[[Roman]]'' (+3125/3024) → [[Wesley family #Roman|Wesley family]] |
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| [[POTE tuning|POTE generator]]: ~63/50 = 414.552
| | Considered below is submerged. |
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| Map: [<1 4 3 -1|, <0 -7 -2 11|]
| | == Submerged == |
| Wedgie: <<7 2 -11 -13 -37 -31||
| | {{Main| Submerged }} |
| EDOs: 23, 26, 29, 55
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| Badness: 0.1134
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| ===11-limit===
| | Named by [[Fitzgerald Lee]] in 2025, submerged tempers out 3125/3087, the [[gariboh comma]]. It may be described as the {{nowrap| 16 & 29 }} temperament, generated by a sharply tuned ~8/5, eleven of which minus seven octaves make a perfect fifth; its [[ploidacot]] is therefore zeta-hendecacot. [[45edo]] makes for an excellent tuning. |
| Commas: 100/99, 245/242, 1375/1344
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| [[POTE tuning|POTE generator]]: ~14/11 = 414.471 | | [[Subgroup]]: 2.3.5.7 |
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| Map: [<1 4 3 -1 0|, <0 -7 -2 11 10|]
| | [[Comma list]]: 525/512, 3125/3087 |
| EDOs: 23, 26, 29, 55
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| Badness: 0.0528
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| ===13-limit=== | | {{Mapping|legend=1| 1 -6 3 9 | 0 11 -1 -9 }} |
| Commas: 65/64, 100/99, 105/104, 245/243
| | : mapping generators: ~2, ~8/5 |
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| [[POTE tuning|POTE generator]]: ~14/11 = 414.472 | | [[Optimal tuning]]s: |
| | * [[WE]]: ~2 = 1203.3342{{c}}, ~8/5 = 829.2070{{c}} |
| | : [[error map]]: {{val| +3.334 -0.683 -5.518 -1.681 }} |
| | * [[CWE]]: ~2 = 1200.0000{{c}}, ~8/5 = 826.9483{{c}} |
| | : error map: {{val| 0.000 -5.523 -13.262 -11.361 }} |
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| Map: [<1 4 3 -1 0 3|, <0 -7 -2 11 10 2|]
| | {{Optimal ET sequence|legend=1| 16, 29, 45, 74cd, 119bccdd }} |
| EDOs: 23, 26, 29, 55
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| Badness: 0.0300
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| ===17-limit===
| | [[Badness]] (Sintel): 3.98 |
| Commas: 35/34, 52/51, 100/99, 169/168, 275/273
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| [[POTE tuning|POTE generator]]: ~14/11 = 414.164
| | === 11-limit === |
| | Subgroup: 2.3.5.7.11 |
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| Map: [<1 4 3 -1 0 3 1|, <0 -7 -2 11 10 2 9|]
| | Comma list: 121/120, 441/440, 525/512 |
| EDOs: 26, 29, 84, 113
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| Badness: 0.0416
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| ===19-limit===
| | Mapping: {{mapping| 1 -6 3 9 0 | 0 11 -1 -9 5 }} |
| Commas: 35/34, 52/51, 100/99, 121/119, 133/132, 169/168
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| [[POTE tuning|POTE generator]]: ~14/11 = 414.130
| | Optimal tunings: |
| | * WE: ~2 = 1203.6231{{c}}, ~8/5 = 829.4195{{c}} |
| | * CWE: ~2 = 1200.0000{{c}}, ~8/5 = 826.9730{{c}} |
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| Map: [<1 4 3 -1 0 3 1 7|, <0 -7 -2 11 10 2 9 -8|]
| | {{Optimal ET sequence|legend=0| 16, 29, 45e, 74cde, 119bccddeee }} |
| EDOs: 26, 29, 113
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| Badness: 0.0337
| | Badness (Sintel): 1.93 |
| </pre></div>
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| <h4>Original HTML content:</h4>
| | === 13-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>Avicennmic temperaments</title></head><body>These temper out the avicennma, 525/512, also known as Avicenna's enharmonic diesis.<br />
| | Subgroup: 2.3.5.7.11.13 |
| <br />
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| <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Roman"></a><!-- ws:end:WikiTextHeadingRule:0 -->Roman</h2>
| | Comma list: 65/64, 105/104, 121/120, 441/440 |
| Commas: 525/512, 4000/3969<br />
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| <br />
| | Mapping: {{mapping| 1 -6 3 9 0 3 | 0 11 -1 -9 5 1 }} |
| <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~63/50 = 414.552<br />
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| <br />
| | Optimal tunings: |
| Map: [&lt;1 4 3 -1|, &lt;0 -7 -2 11|]<br />
| | * WE: ~2 = 1203.6316{{c}}, ~8/5 = 829.4249{{c}} |
| Wedgie: &lt;&lt;7 2 -11 -13 -37 -31||<br />
| | * CWE: ~2 = 1200.0000{{c}}, ~8/5 = 826.9677{{c}} |
| EDOs: 23, 26, 29, 55<br />
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| Badness: 0.1134<br />
| | {{Optimal ET sequence|legend=0| 16, 29, 45ef, 74cdef, 119bccddeeeff }} |
| <br />
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| <!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="x-Roman-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h3>
| | Badness (Sintel): 1.35 |
| Commas: 100/99, 245/242, 1375/1344<br />
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| <br />
| | [[Category:Temperament collections]] |
| <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~14/11 = 414.471<br />
| | [[Category:Avicennmic temperaments| ]] <!-- main article --> |
| <br />
| | [[Category:Rank 2]] |
| Map: [&lt;1 4 3 -1 0|, &lt;0 -7 -2 11 10|]<br />
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| EDOs: 23, 26, 29, 55<br />
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| Badness: 0.0528<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x-Roman-13-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->13-limit</h3>
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| Commas: 65/64, 100/99, 105/104, 245/243<br />
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| <br />
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| <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~14/11 = 414.472<br />
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| <br />
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| Map: [&lt;1 4 3 -1 0 3|, &lt;0 -7 -2 11 10 2|]<br />
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| EDOs: 23, 26, 29, 55<br />
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| Badness: 0.0300<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="x-Roman-17-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->17-limit</h3>
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| Commas: 35/34, 52/51, 100/99, 169/168, 275/273<br />
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| <br />
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| <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~14/11 = 414.164<br />
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| <br />
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| Map: [&lt;1 4 3 -1 0 3 1|, &lt;0 -7 -2 11 10 2 9|]<br />
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| EDOs: 26, 29, 84, 113<br />
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| Badness: 0.0416<br /> | |
| <br />
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| <!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="x-Roman-19-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->19-limit</h3>
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| Commas: 35/34, 52/51, 100/99, 121/119, 133/132, 169/168<br />
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| <br />
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| <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~14/11 = 414.130<br />
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| <br />
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| Map: [&lt;1 4 3 -1 0 3 1 7|, &lt;0 -7 -2 11 10 2 9 -8|]<br />
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| EDOs: 26, 29, 113<br />
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| Badness: 0.0337</body></html></pre></div>
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