|
|
| (39 intermediate revisions by 11 users not shown) |
| Line 1: |
Line 1: |
| <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 revision was by author [[User:kai.lugheidh|kai.lugheidh]] and made on <tt>2017-05-06 02:13:08 UTC</tt>.<br>
| |
| : The original revision id was <tt>612236389</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">=__**Welcome to the Temperament Orphanage**__=
| |
| ==These temperaments need to be adopted into a family==
| |
|
| |
|
| 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!''' |
|
| |
|
| 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. |
|
| |
|
| ==Smite - 5-limit - tempers 3125/2916==
| | 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. |
| 7&25 temperament. It equates (6/5)^5 with 8/3. It is also called "sixix", a name by Petr Parizek which has priority. The generator is a really sharp minor third, the contraction of which is "smite."
| |
|
| |
|
| POTE generator: ~6/5 = 338.365
| | 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. |
| | |
| Map: [<1 3 4|, <0 -5 -6|]
| |
| EDOs: [[7edo|7]], [[25edo|25]], [[32edo|32]]
| |
| | |
| ==Smate - 5-limit - tempers 2048/1875==
| |
| 3&8b temperament. It equates (5/4)^4 with 8/3. It is so named because the generator is a sharp major third. I don't think "smate" is actually a word, but it is now.
| |
| | |
| POTE generator: ~5/4 = 420.855
| |
| Map: [<1 2 3|, <0 -4 1|]
| |
| | |
| Status: [[Mint temperaments#Smate|Adopted]]
| |
| | |
| ==Enipucrop - 5-limit - tempers 1125/1024==
| |
| 6b&7 temperament. Its name is "porcupine" spelled backwards, because that's what this temperament is - it's porcupine, with the generator sharp of 2\7 such that the major and minor thirds switch places. The fifths are very flat, meaning that this is more of a melodic temperament than a harmonic one.
| |
| | |
| POTE generator: ~16/15 = 173.101
| |
| Map: [<1 2 2|, <0 -3 2|]
| |
| | |
| ==Absurdity - 5-limit - tempers 10460353203/10240000000==
| |
| 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.
| |
| [[@http://x31eq.com/cgi-bin/rt.cgi?ets=7_84&limit=5|http://x31eq.com/cgi-bin/rt. cgi?ets=7_84&limit=5]]
| |
| | |
| ==Sevond - 5-limit - tempers 5000000/4782969==
| |
| 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.
| |
| | |
| POTE generator: ~3/2 = 706.288 cents
| |
|
| |
|
| Map: [<7 0 -6|, <0 1 2|]
| | == Lafa (65 & 441) == |
| EDOs: [[7edo|7]], [[42edo|42]], [[49edo|49]], [[56edo|56]], [[119edo|119]]
| | 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>. |
|
| |
|
| Adding 875/864 to the commas extends this to the 7-limit:
| | Subgroup: 2.3.5 |
|
| |
|
| POTE generator: ~3/2 = 705.613 cents
| | Comma list: {{monzo| 77 -31 -12 }} |
|
| |
|
| Map: [<7 0 -6 53|, <0 1 2 -3|]
| | Mapping: {{mapping| 1 11 -22 | 0 -12 31 }} |
| EDOs: [[7edo|7]], [[56edo|56]], [[63edo|63]], [[119edo|119]]
| |
|
| |
|
| [[http://x31eq.com/cgi-bin/rt.cgi?ets=7_49&limit=5]]
| | : Mapping generators: ~2, ~{{monzo| 33 -13 -5 }} |
|
| |
|
| ==Seville - 5-limit - tempers 78125/69984== | | Optimal tuning (POTE): ~2 = 1\1, ~{{monzo| 33 -13 -5 }} = 941.4971 |
| 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.
| |
|
| |
|
| Comma: 78125/69984
| | {{Optimal ET sequence|legend=1| 65, 246, 311, 376, 441, 2711, 3152, 3593, 4034, 4475, 4916, 5357 }} |
|
| |
|
| POTE generator: ~3/2 = 706.410 cents
| | Badness: 0.184510 |
|
| |
|
| Map: [<7 0 5|, <0 1 1|]
| | == Notes == |
| EDOs: [[7edo|7]], [[56edo|56]]
| |
|
| |
|
| [[http://x31eq.com/cgi-bin/rt.cgi?ets=7_49c&limit=5]]</pre></div> | | [[Category:Regular temperament theory]] |
| <h4>Original HTML content:</h4>
| | [[Category:Temperament collections|*]] |
| <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>
| |
| <!-- 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>
| |
| <br />
| |
| 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 />
| |
| <br />
| |
| 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 />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Welcome to the Temperament Orphanage-Smite - 5-limit - tempers 3125/2916"></a><!-- ws:end:WikiTextHeadingRule:4 -->Smite - 5-limit - tempers 3125/2916</h2>
| |
| 7&amp;25 temperament. It equates (6/5)^5 with 8/3. It is also called &quot;sixix&quot;, a name by Petr Parizek which has priority. The generator is a really sharp minor third, the contraction of which is &quot;smite.&quot;<br />
| |
| <br />
| |
| POTE generator: ~6/5 = 338.365<br />
| |
| <br />
| |
| Map: [&lt;1 3 4|, &lt;0 -5 -6|]<br />
| |
| EDOs: <a class="wiki_link" href="/7edo">7</a>, <a class="wiki_link" href="/25edo">25</a>, <a class="wiki_link" href="/32edo">32</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Welcome to the Temperament Orphanage-Smate - 5-limit - tempers 2048/1875"></a><!-- ws:end:WikiTextHeadingRule:6 -->Smate - 5-limit - tempers 2048/1875</h2>
| |
| 3&amp;8b temperament. It equates (5/4)^4 with 8/3. It is so named because the generator is a sharp major third. I don't think &quot;smate&quot; is actually a word, but it is now.<br />
| |
| <br />
| |
| POTE generator: ~5/4 = 420.855<br />
| |
| Map: [&lt;1 2 3|, &lt;0 -4 1|]<br />
| |
| <br />
| |
| Status: <a class="wiki_link" href="/Mint%20temperaments#Smate">Adopted</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Welcome to the Temperament Orphanage-Enipucrop - 5-limit - tempers 1125/1024"></a><!-- ws:end:WikiTextHeadingRule:8 -->Enipucrop - 5-limit - tempers 1125/1024</h2>
| |
| 6b&amp;7 temperament. Its name is &quot;porcupine&quot; spelled backwards, because that's what this temperament is - it's porcupine, with the generator sharp of 2\7 such that the major and minor thirds switch places. The fifths are very flat, meaning that this is more of a melodic temperament than a harmonic one.<br />
| |
| <br />
| |
| POTE generator: ~16/15 = 173.101<br />
| |
| Map: [&lt;1 2 2|, &lt;0 -3 2|]<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Welcome to the Temperament Orphanage-Absurdity - 5-limit - tempers 10460353203/10240000000"></a><!-- ws:end:WikiTextHeadingRule:10 -->Absurdity - 5-limit - tempers 10460353203/10240000000</h2>
| |
| 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 />
| |
| <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 />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Welcome to the Temperament Orphanage-Sevond - 5-limit - tempers 5000000/4782969"></a><!-- ws:end:WikiTextHeadingRule:12 -->Sevond - 5-limit - tempers 5000000/4782969</h2>
| |
| 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 />
| |
| <br />
| |
| POTE generator: ~3/2 = 706.288 cents<br />
| |
| <br />
| |
| Map: [&lt;7 0 -6|, &lt;0 1 2|]<br />
| |
| EDOs: <a class="wiki_link" href="/7edo">7</a>, <a class="wiki_link" href="/42edo">42</a>, <a class="wiki_link" href="/49edo">49</a>, <a class="wiki_link" href="/56edo">56</a>, <a class="wiki_link" href="/119edo">119</a><br />
| |
| <br />
| |
| Adding 875/864 to the commas extends this to the 7-limit:<br />
| |
| <br />
| |
| POTE generator: ~3/2 = 705.613 cents<br />
| |
| <br />
| |
| Map: [&lt;7 0 -6 53|, &lt;0 1 2 -3|]<br />
| |
| EDOs: <a class="wiki_link" href="/7edo">7</a>, <a class="wiki_link" href="/56edo">56</a>, <a class="wiki_link" href="/63edo">63</a>, <a class="wiki_link" href="/119edo">119</a><br />
| |
| <br />
| |
| <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 />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="Welcome to the Temperament Orphanage-Seville - 5-limit - tempers 78125/69984"></a><!-- ws:end:WikiTextHeadingRule:14 -->Seville - 5-limit - tempers 78125/69984</h2>
| |
| 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 />
| |
| <br />
| |
| Comma: 78125/69984<br />
| |
| <br />
| |
| POTE generator: ~3/2 = 706.410 cents<br />
| |
| <br />
| |
| Map: [&lt;7 0 5|, &lt;0 1 1|]<br />
| |
| EDOs: <a class="wiki_link" href="/7edo">7</a>, <a class="wiki_link" href="/56edo">56</a><br />
| |
| <br />
| |
| <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>
| |
- This is a list showing technical temperament data. For an explanation of what information is shown here, you may look at the technical data guide for regular temperaments.
Welcome to the temperament orphanage!
These temperaments need to be adopted into a family.
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.
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.
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[1].
Subgroup: 2.3.5
Comma list: [77 -31 -12⟩
Mapping: [⟨1 11 -22], ⟨0 -12 31]]
- Mapping generators: ~2, ~[33 -13 -5⟩
Optimal tuning (POTE): ~2 = 1\1, ~[33 -13 -5⟩ = 941.4971
Optimal ET sequence: 65, 246, 311, 376, 441, 2711, 3152, 3593, 4034, 4475, 4916, 5357
Badness: 0.184510
Notes