Marvel family: Difference between revisions
Wikispaces>genewardsmith **Imported revision 210362054 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 214238270 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-26 16:02:41 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>214238270</tt>.<br> | ||
: The revision comment was: <tt></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> | 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> | <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">The head of the marvel family is marvel, which tempers out 225/224, the septimal kleisma or marvel comma. Marvel has a [[Normal lists|normal list basis]] of [2, 3, 5]; hence a [[Harmonic Limit|5-limit]] scale can be converted to marvel simply by tempering it. One way to do that, and an excellent marvel tuning, is given by [[197edo]]. | <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">[[toc|flat]] | ||
=Marvel= | |||
The head of the marvel family is marvel, which tempers out 225/224, the septimal kleisma or marvel comma. Marvel has a [[Normal lists|normal list basis]] of [2, 3, 5]; hence a [[Harmonic Limit|5-limit]] scale can be converted to marvel simply by tempering it. One way to do that, and an excellent marvel tuning, is given by [[197edo]]. | |||
Little is gained in tuning accuracy by not tempering out 4375/4374 as well as 225/224, leading to [[Kleismic family|catakleismic temperament]]. Another temperament which does little damage to tuning accuracy is [[Pythagorean family|compton temperament]], for which [[240edo]] may be used. | Little is gained in tuning accuracy by not tempering out 4375/4374 as well as 225/224, leading to [[Kleismic family|catakleismic temperament]]. Another temperament which does little damage to tuning accuracy is [[Pythagorean family|compton temperament]], for which [[240edo]] may be used. | ||
==Vital statistics== | |||
[[Comma]] c = 225/224 | [[Comma]] c = 225/224 | ||
Related linear temperament: [[Kleismic family|catakleismic temperament]] | Related linear temperament: [[Kleismic family|catakleismic temperament]] | ||
| Line 33: | Line 36: | ||
Scales: [[marvel9]], [[marvel10]], [[marvel11]], [[marvel12]], [[marvel19]], [[marvel22]], [[pump12_1]], [[pump12_2]], [[pump13]], [[pump14]], [[pump15]], [[pump16]], [[pump17]], [[pump18]] | Scales: [[marvel9]], [[marvel10]], [[marvel11]], [[marvel12]], [[marvel19]], [[marvel22]], [[pump12_1]], [[pump12_2]], [[pump13]], [[pump14]], [[pump15]], [[pump16]], [[pump17]], [[pump18]] | ||
==[[Minkowski blocks]]== | |||
{2, 3, 5} subgroup | {2, 3, 5} subgroup | ||
| Line 50: | Line 53: | ||
41: 34171875/33554432, 3125/3072 | 41: 34171875/33554432, 3125/3072 | ||
==Music== | |||
[[http://chrisvaisvil.com/?p=314|Semimarvelous Blue Drawf]] by [[Chris Vaisvil]] | [[http://chrisvaisvil.com/?p=314|Semimarvelous Blue Drawf]] by [[Chris Vaisvil]] | ||
| Line 56: | Line 59: | ||
The second comma of the [[Normal lists|normal comma list]] defines which 11-limit family member we are looking at. Adding 4125/4096 gives unidecimal marvel, 91125/90112 gives prodigy, 5632/5625 minerva and 243/242 spectacle. | The second comma of the [[Normal lists|normal comma list]] defines which 11-limit family member we are looking at. Adding 4125/4096 gives unidecimal marvel, 91125/90112 gives prodigy, 5632/5625 minerva and 243/242 spectacle. | ||
=Unidecimal marvel (Unimarv)= | |||
[[Comma|Commas]]: 225/224, 385/384 | [[Comma|Commas]]: 225/224, 385/384 | ||
Related linear temperament: [[Kleismic family|catakleismic temperament]] | Related linear temperament: [[Kleismic family|catakleismic temperament]] | ||
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41: 3125/3072, 34171875/33554432 | 41: 3125/3072, 34171875/33554432 | ||
===Marvell | ==13-limit marvel== | ||
Commas: 225/224, 385/384, 325/324 | |||
Map: [<1 0 0 -5 12 2|, <0 1 0 2 -1 4|, <0 0 1 2 -3 -2|] | |||
EDOs: 19, 41, 53, 72, 166 | |||
Badness: 0.000721 | |||
==Marvell== | |||
Commas: 225/224, 385/384, 1573/1568 | Commas: 225/224, 385/384, 1573/1568 | ||
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Badness: 0.000862 | Badness: 0.000862 | ||
==Deecee== | |||
Commas: 225/224, 385/384, 364/363 | Commas: 225/224, 385/384, 364/363 | ||
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Badness: 0.000920 | Badness: 0.000920 | ||
==Tripod== | |||
Commas: 105/104, 144/143, 196/195 | Commas: 105/104, 144/143, 196/195 | ||
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Badness: 0.000745 | Badness: 0.000745 | ||
=Prodigy= | |||
Prodigy shrinks 1024/1029, 243/242, 384/385 and 2400/2401 down to the same tiny interval. Hence in practice it probably makes the most sense to temper this out as well, leading to [[Gamelismic clan|miracle temperament]]. This, however, does not render it pointless to consider prodigy; for one thing, scales in prodigy such as hobbit scales translate into interesting scales for miracle. | Prodigy shrinks 1024/1029, 243/242, 384/385 and 2400/2401 down to the same tiny interval. Hence in practice it probably makes the most sense to temper this out as well, leading to [[Gamelismic clan|miracle temperament]]. This, however, does not render it pointless to consider prodigy; for one thing, scales in prodigy such as hobbit scales translate into interesting scales for miracle. | ||
| Line 130: | Line 140: | ||
Scales: [[prodigy11]], [[prodigy12]], [[prodigy29]] | Scales: [[prodigy11]], [[prodigy12]], [[prodigy29]] | ||
==Hobbit bases== | |||
{2, 3, 5} subgroup | {2, 3, 5} subgroup | ||
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41: 34171875/33554432, 32805/32768 | 41: 34171875/33554432, 32805/32768 | ||
=Minerva= | |||
[[Comma|Commas]]: 99/98, 176/175 | [[Comma|Commas]]: 99/98, 176/175 | ||
Related linear temperament: [[Semicomma family|orwell]] | Related linear temperament: [[Semicomma family|orwell]] | ||
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Scales: [[minerva12]], [[minerva22x]] | Scales: [[minerva12]], [[minerva22x]] | ||
==Athene== | |||
Commas: 99/98, 176/175, 245/243 | Commas: 99/98, 176/175, 245/243 | ||
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Badness: 0.000818 | Badness: 0.000818 | ||
=Spectacle= | |||
[[Comma|Commas]]: 225/224, 243/242 | [[Comma|Commas]]: 225/224, 243/242 | ||
Related linear temperament: [[Marvel temperaments|marvo]] | Related linear temperament: [[Marvel temperaments|marvo]] | ||
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Scales: [[spectacle31]] | Scales: [[spectacle31]] | ||
=Apollo= | |||
[[Comma|Commas]]: 100/99, 225/224 | [[Comma|Commas]]: 100/99, 225/224 | ||
Related linear temperament: [[Magic family|Magic]] | Related linear temperament: [[Magic family|Magic]] | ||
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Badness: 0.000530 | Badness: 0.000530 | ||
=Potassium= | |||
Commas: 45/44, 56/55 | Commas: 45/44, 56/55 | ||
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Badness: 0.000464 | Badness: 0.000464 | ||
==13-limit== | |||
Commas: 45/44, 56/55, 78/77 | Commas: 45/44, 56/55, 78/77 | ||
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Badness: 0.000733</pre></div> | Badness: 0.000733</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Marvel family</title></head><body>The head of the marvel family is marvel, which tempers out 225/224, the septimal kleisma or marvel comma. Marvel has a <a class="wiki_link" href="/Normal%20lists">normal list basis</a> of [2, 3, 5]; hence a <a class="wiki_link" href="/Harmonic%20Limit">5-limit</a> scale can be converted to marvel simply by tempering it. One way to do that, and an excellent marvel tuning, is given by <a class="wiki_link" href="/197edo">197edo</a>. <br /> | <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>Marvel family</title></head><body><!-- ws:start:WikiTextTocRule:38:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:38 --><!-- ws:start:WikiTextTocRule:39: --><a href="#Marvel">Marvel</a><!-- ws:end:WikiTextTocRule:39 --><!-- ws:start:WikiTextTocRule:40: --><!-- ws:end:WikiTextTocRule:40 --><!-- ws:start:WikiTextTocRule:41: --><!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --><!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: --><!-- ws:end:WikiTextTocRule:43 --><!-- ws:start:WikiTextTocRule:44: --> | <a href="#Unidecimal marvel (Unimarv)">Unidecimal marvel (Unimarv)</a><!-- ws:end:WikiTextTocRule:44 --><!-- ws:start:WikiTextTocRule:45: --><!-- ws:end:WikiTextTocRule:45 --><!-- ws:start:WikiTextTocRule:46: --><!-- ws:end:WikiTextTocRule:46 --><!-- ws:start:WikiTextTocRule:47: --><!-- ws:end:WikiTextTocRule:47 --><!-- ws:start:WikiTextTocRule:48: --><!-- ws:end:WikiTextTocRule:48 --><!-- ws:start:WikiTextTocRule:49: --><!-- ws:end:WikiTextTocRule:49 --><!-- ws:start:WikiTextTocRule:50: --> | <a href="#Prodigy">Prodigy</a><!-- ws:end:WikiTextTocRule:50 --><!-- ws:start:WikiTextTocRule:51: --><!-- ws:end:WikiTextTocRule:51 --><!-- ws:start:WikiTextTocRule:52: --> | <a href="#Minerva">Minerva</a><!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --><!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --> | <a href="#Spectacle">Spectacle</a><!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --> | <a href="#Apollo">Apollo</a><!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --> | <a href="#Potassium">Potassium</a><!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --><!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --> | ||
<!-- ws:end:WikiTextTocRule:58 --><br /> | |||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Marvel"></a><!-- ws:end:WikiTextHeadingRule:0 -->Marvel</h1> | |||
The head of the marvel family is marvel, which tempers out 225/224, the septimal kleisma or marvel comma. Marvel has a <a class="wiki_link" href="/Normal%20lists">normal list basis</a> of [2, 3, 5]; hence a <a class="wiki_link" href="/Harmonic%20Limit">5-limit</a> scale can be converted to marvel simply by tempering it. One way to do that, and an excellent marvel tuning, is given by <a class="wiki_link" href="/197edo">197edo</a>. <br /> | |||
<br /> | <br /> | ||
Little is gained in tuning accuracy by not tempering out 4375/4374 as well as 225/224, leading to <a class="wiki_link" href="/Kleismic%20family">catakleismic temperament</a>. Another temperament which does little damage to tuning accuracy is <a class="wiki_link" href="/Pythagorean%20family">compton temperament</a>, for which <a class="wiki_link" href="/240edo">240edo</a> may be used.<br /> | Little is gained in tuning accuracy by not tempering out 4375/4374 as well as 225/224, leading to <a class="wiki_link" href="/Kleismic%20family">catakleismic temperament</a>. Another temperament which does little damage to tuning accuracy is <a class="wiki_link" href="/Pythagorean%20family">compton temperament</a>, for which <a class="wiki_link" href="/240edo">240edo</a> may be used.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Marvel-Vital statistics"></a><!-- ws:end:WikiTextHeadingRule:2 -->Vital statistics</h2> | ||
<a class="wiki_link" href="/Comma">Comma</a> c = 225/224<br /> | <a class="wiki_link" href="/Comma">Comma</a> c = 225/224<br /> | ||
Related linear temperament: <a class="wiki_link" href="/Kleismic%20family">catakleismic temperament</a><br /> | Related linear temperament: <a class="wiki_link" href="/Kleismic%20family">catakleismic temperament</a><br /> | ||
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Scales: <a class="wiki_link" href="/marvel9">marvel9</a>, <a class="wiki_link" href="/marvel10">marvel10</a>, <a class="wiki_link" href="/marvel11">marvel11</a>, <a class="wiki_link" href="/marvel12">marvel12</a>, <a class="wiki_link" href="/marvel19">marvel19</a>, <a class="wiki_link" href="/marvel22">marvel22</a>, <a class="wiki_link" href="/pump12_1">pump12_1</a>, <a class="wiki_link" href="/pump12_2">pump12_2</a>, <a class="wiki_link" href="/pump13">pump13</a>, <a class="wiki_link" href="/pump14">pump14</a>, <a class="wiki_link" href="/pump15">pump15</a>, <a class="wiki_link" href="/pump16">pump16</a>, <a class="wiki_link" href="/pump17">pump17</a>, <a class="wiki_link" href="/pump18">pump18</a><br /> | Scales: <a class="wiki_link" href="/marvel9">marvel9</a>, <a class="wiki_link" href="/marvel10">marvel10</a>, <a class="wiki_link" href="/marvel11">marvel11</a>, <a class="wiki_link" href="/marvel12">marvel12</a>, <a class="wiki_link" href="/marvel19">marvel19</a>, <a class="wiki_link" href="/marvel22">marvel22</a>, <a class="wiki_link" href="/pump12_1">pump12_1</a>, <a class="wiki_link" href="/pump12_2">pump12_2</a>, <a class="wiki_link" href="/pump13">pump13</a>, <a class="wiki_link" href="/pump14">pump14</a>, <a class="wiki_link" href="/pump15">pump15</a>, <a class="wiki_link" href="/pump16">pump16</a>, <a class="wiki_link" href="/pump17">pump17</a>, <a class="wiki_link" href="/pump18">pump18</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Marvel-Minkowski blocks"></a><!-- ws:end:WikiTextHeadingRule:4 --><a class="wiki_link" href="/Minkowski%20blocks">Minkowski blocks</a></h2> | ||
{2, 3, 5} subgroup<br /> | {2, 3, 5} subgroup<br /> | ||
<br /> | <br /> | ||
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41: 34171875/33554432, 3125/3072<br /> | 41: 34171875/33554432, 3125/3072<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Marvel-Music"></a><!-- ws:end:WikiTextHeadingRule:6 -->Music</h2> | ||
<a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=314" rel="nofollow">Semimarvelous Blue Drawf</a> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a><br /> | <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=314" rel="nofollow">Semimarvelous Blue Drawf</a> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Marvel-Eleven limit children"></a><!-- ws:end:WikiTextHeadingRule:8 -->Eleven limit children</h2> | ||
The second comma of the <a class="wiki_link" href="/Normal%20lists">normal comma list</a> defines which 11-limit family member we are looking at. Adding 4125/4096 gives unidecimal marvel, 91125/90112 gives prodigy, 5632/5625 minerva and 243/242 spectacle.<br /> | The second comma of the <a class="wiki_link" href="/Normal%20lists">normal comma list</a> defines which 11-limit family member we are looking at. Adding 4125/4096 gives unidecimal marvel, 91125/90112 gives prodigy, 5632/5625 minerva and 243/242 spectacle.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Unidecimal marvel (Unimarv)"></a><!-- ws:end:WikiTextHeadingRule:10 -->Unidecimal marvel (Unimarv)</h1> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 225/224, 385/384<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 225/224, 385/384<br /> | ||
Related linear temperament: <a class="wiki_link" href="/Kleismic%20family">catakleismic temperament</a><br /> | Related linear temperament: <a class="wiki_link" href="/Kleismic%20family">catakleismic temperament</a><br /> | ||
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Scales: <a class="wiki_link" href="/marvel22_11">marvel22_11</a>, <a class="wiki_link" href="/unimarv19">unimarv19</a>, <a class="wiki_link" href="/unimarv22">unimarv22</a><br /> | Scales: <a class="wiki_link" href="/marvel22_11">marvel22_11</a>, <a class="wiki_link" href="/unimarv19">unimarv19</a>, <a class="wiki_link" href="/unimarv22">unimarv22</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h3&gt; --><h3 id="toc6"><a name="Unidecimal marvel (Unimarv)--Hobbit bases"></a><!-- ws:end:WikiTextHeadingRule:12 -->Hobbit bases</h3> | ||
{2, 3, 5} subgroup<br /> | {2, 3, 5} subgroup<br /> | ||
<br /> | <br /> | ||
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41: 3125/3072, 34171875/33554432<br /> | 41: 3125/3072, 34171875/33554432<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt; | <!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="Unidecimal marvel (Unimarv)-13-limit marvel"></a><!-- ws:end:WikiTextHeadingRule:14 -->13-limit marvel</h2> | ||
Commas: 225/224, 385/384, 325/324<br /> | |||
<br /> | |||
Map: [&lt;1 0 0 -5 12 2|, &lt;0 1 0 2 -1 4|, &lt;0 0 1 2 -3 -2|]<br /> | |||
EDOs: 19, 41, 53, 72, 166<br /> | |||
Badness: 0.000721<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Unidecimal marvel (Unimarv)-Marvell"></a><!-- ws:end:WikiTextHeadingRule:16 -->Marvell</h2> | |||
Commas: 225/224, 385/384, 1573/1568<br /> | Commas: 225/224, 385/384, 1573/1568<br /> | ||
<br /> | <br /> | ||
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Badness: 0.000862<br /> | Badness: 0.000862<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Unidecimal marvel (Unimarv)-Deecee"></a><!-- ws:end:WikiTextHeadingRule:18 -->Deecee</h2> | ||
Commas: 225/224, 385/384, 364/363<br /> | Commas: 225/224, 385/384, 364/363<br /> | ||
<br /> | <br /> | ||
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Badness: 0.000920<br /> | Badness: 0.000920<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc10"><a name="Unidecimal marvel (Unimarv)-Tripod"></a><!-- ws:end:WikiTextHeadingRule:20 -->Tripod</h2> | ||
Commas: 105/104, 144/143, 196/195<br /> | Commas: 105/104, 144/143, 196/195<br /> | ||
<br /> | <br /> | ||
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Badness: 0.000745<br /> | Badness: 0.000745<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="Prodigy"></a><!-- ws:end:WikiTextHeadingRule:22 -->Prodigy</h1> | ||
Prodigy shrinks 1024/1029, 243/242, 384/385 and 2400/2401 down to the same tiny interval. Hence in practice it probably makes the most sense to temper this out as well, leading to <a class="wiki_link" href="/Gamelismic%20clan">miracle temperament</a>. This, however, does not render it pointless to consider prodigy; for one thing, scales in prodigy such as hobbit scales translate into interesting scales for miracle.<br /> | Prodigy shrinks 1024/1029, 243/242, 384/385 and 2400/2401 down to the same tiny interval. Hence in practice it probably makes the most sense to temper this out as well, leading to <a class="wiki_link" href="/Gamelismic%20clan">miracle temperament</a>. This, however, does not render it pointless to consider prodigy; for one thing, scales in prodigy such as hobbit scales translate into interesting scales for miracle.<br /> | ||
<br /> | <br /> | ||
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Scales: <a class="wiki_link" href="/prodigy11">prodigy11</a>, <a class="wiki_link" href="/prodigy12">prodigy12</a>, <a class="wiki_link" href="/prodigy29">prodigy29</a><br /> | Scales: <a class="wiki_link" href="/prodigy11">prodigy11</a>, <a class="wiki_link" href="/prodigy12">prodigy12</a>, <a class="wiki_link" href="/prodigy29">prodigy29</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:24:&lt;h2&gt; --><h2 id="toc12"><a name="Prodigy-Hobbit bases"></a><!-- ws:end:WikiTextHeadingRule:24 -->Hobbit bases</h2> | ||
{2, 3, 5} subgroup<br /> | {2, 3, 5} subgroup<br /> | ||
<br /> | <br /> | ||
| Line 329: | Line 349: | ||
41: 34171875/33554432, 32805/32768<br /> | 41: 34171875/33554432, 32805/32768<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:26:&lt;h1&gt; --><h1 id="toc13"><a name="Minerva"></a><!-- ws:end:WikiTextHeadingRule:26 -->Minerva</h1> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 99/98, 176/175<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 99/98, 176/175<br /> | ||
Related linear temperament: <a class="wiki_link" href="/Semicomma%20family">orwell</a><br /> | Related linear temperament: <a class="wiki_link" href="/Semicomma%20family">orwell</a><br /> | ||
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Scales: <a class="wiki_link" href="/minerva12">minerva12</a>, <a class="wiki_link" href="/minerva22x">minerva22x</a><br /> | Scales: <a class="wiki_link" href="/minerva12">minerva12</a>, <a class="wiki_link" href="/minerva22x">minerva22x</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:28:&lt;h2&gt; --><h2 id="toc14"><a name="Minerva-Athene"></a><!-- ws:end:WikiTextHeadingRule:28 -->Athene</h2> | ||
Commas: 99/98, 176/175, 245/243<br /> | Commas: 99/98, 176/175, 245/243<br /> | ||
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Badness: 0.000818<br /> | Badness: 0.000818<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="Spectacle"></a><!-- ws:end:WikiTextHeadingRule:30 -->Spectacle</h1> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 225/224, 243/242<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 225/224, 243/242<br /> | ||
Related linear temperament: <a class="wiki_link" href="/Marvel%20temperaments">marvo</a><br /> | Related linear temperament: <a class="wiki_link" href="/Marvel%20temperaments">marvo</a><br /> | ||
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Scales: <a class="wiki_link" href="/spectacle31">spectacle31</a><br /> | Scales: <a class="wiki_link" href="/spectacle31">spectacle31</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:32:&lt;h1&gt; --><h1 id="toc16"><a name="Apollo"></a><!-- ws:end:WikiTextHeadingRule:32 -->Apollo</h1> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 100/99, 225/224<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 100/99, 225/224<br /> | ||
Related linear temperament: <a class="wiki_link" href="/Magic%20family">Magic</a><br /> | Related linear temperament: <a class="wiki_link" href="/Magic%20family">Magic</a><br /> | ||
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Badness: 0.000530<br /> | Badness: 0.000530<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:34:&lt;h1&gt; --><h1 id="toc17"><a name="Potassium"></a><!-- ws:end:WikiTextHeadingRule:34 -->Potassium</h1> | ||
Commas: 45/44, 56/55<br /> | Commas: 45/44, 56/55<br /> | ||
<br /> | <br /> | ||
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Badness: 0.000464<br /> | Badness: 0.000464<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:36:&lt;h2&gt; --><h2 id="toc18"><a name="Potassium-13-limit"></a><!-- ws:end:WikiTextHeadingRule:36 -->13-limit</h2> | ||
Commas: 45/44, 56/55, 78/77<br /> | Commas: 45/44, 56/55, 78/77<br /> | ||
<br /> | <br /> | ||