Valentine: Difference between revisions
Wikispaces>genewardsmith **Imported revision 378902922 - Original comment: ** |
Wikispaces>Gedankenwelt **Imported revision 539428490 - 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: | : This revision was by author [[User:Gedankenwelt|Gedankenwelt]] and made on <tt>2015-02-02 19:15:56 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>539428490</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">See [[Starling temperaments#Valentine | <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">See [[Starling temperaments#Valentine%20temperament]]. | ||
=Generator Chain= | |||
||~ Generators ||~ Cents* ||~ Approximate ratios | |||
(11-limit) || | |||
|| 0 ||> 0.00 || 1/1 || | |||
|| 1 ||> 77.88 || 21/20, 22/21, 25/24 || | |||
|| 2 ||> 155.76 || 12/11, 11/10, 35/32 || | |||
|| 3 ||> 233.64 || 8/7 || | |||
|| 4 ||> 311.52 || 6/5 || | |||
|| 5 ||> 389.41 || 5/4 || | |||
|| 6 ||> 467.29 || 21/16 || | |||
|| 7 ||> 545.17 || 11/8, 15/11 || | |||
|| 8 ||> 623.05 || 10/7 || | |||
|| 9 ||> 700.93 || 3/2 || | |||
|| 10 ||> 778.81 || 11/7, 25/16 || | |||
|| 11 ||> 856.69 || 18/11 || | |||
|| 12 ||> 934.57 || 12/7 || | |||
|| 13 ||> 1012.46 || 9/5, 25/14 || | |||
|| 14 ||> 1090.34 || 15/8 || | |||
|| 15 ||> 1168.22 || 63/32, 96/49, 55/28, 108/55, 125/64 || | |||
|| 16 ||> 46.10 || 33/32, 36/35, 50/49 || | |||
|| 17 ||> 123.98 || 15/14, 27/25 || | |||
|| 18 ||> 201.86 || 9/8 || | |||
|| 19 ||> 279.74 || 33/28 || | |||
|| 20 ||> 357.62 || 27/22 || | |||
|| 21 ||> 435.51 || 9/7 || | |||
*in 11-limit POTE tuning | |||
=Spectrum of Valentine Tunings by Eigenmonzos= | =Spectrum of Valentine Tunings by Eigenmonzos= | ||
| Line 24: | Line 51: | ||
|| 11/10 || 82.502 ||</pre></div> | || 11/10 || 82.502 ||</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>Valentine</title></head><body>See <a class="wiki_link" href="/Starling%20temperaments#Valentine | <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>Valentine</title></head><body>See <a class="wiki_link" href="/Starling%20temperaments#Valentine%20temperament">Starling temperaments</a>.<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Generator Chain"></a><!-- ws:end:WikiTextHeadingRule:0 -->Generator Chain</h1> | |||
<table class="wiki_table"> | |||
<tr> | |||
<th>Generators<br /> | |||
</th> | |||
<th>Cents*<br /> | |||
</th> | |||
<th>Approximate ratios<br /> | |||
(11-limit)<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td>0<br /> | |||
</td> | |||
<td style="text-align: right;">0.00<br /> | |||
</td> | |||
<td>1/1<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>1<br /> | |||
</td> | |||
<td style="text-align: right;">77.88<br /> | |||
</td> | |||
<td>21/20, 22/21, 25/24<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>2<br /> | |||
</td> | |||
<td style="text-align: right;">155.76<br /> | |||
</td> | |||
<td>12/11, 11/10, 35/32<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>3<br /> | |||
</td> | |||
<td style="text-align: right;">233.64<br /> | |||
</td> | |||
<td>8/7<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>4<br /> | |||
</td> | |||
<td style="text-align: right;">311.52<br /> | |||
</td> | |||
<td>6/5<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>5<br /> | |||
</td> | |||
<td style="text-align: right;">389.41<br /> | |||
</td> | |||
<td>5/4<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>6<br /> | |||
</td> | |||
<td style="text-align: right;">467.29<br /> | |||
</td> | |||
<td>21/16<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>7<br /> | |||
</td> | |||
<td style="text-align: right;">545.17<br /> | |||
</td> | |||
<td>11/8, 15/11<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>8<br /> | |||
</td> | |||
<td style="text-align: right;">623.05<br /> | |||
</td> | |||
<td>10/7<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>9<br /> | |||
</td> | |||
<td style="text-align: right;">700.93<br /> | |||
</td> | |||
<td>3/2<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>10<br /> | |||
</td> | |||
<td style="text-align: right;">778.81<br /> | |||
</td> | |||
<td>11/7, 25/16<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>11<br /> | |||
</td> | |||
<td style="text-align: right;">856.69<br /> | |||
</td> | |||
<td>18/11<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>12<br /> | |||
</td> | |||
<td style="text-align: right;">934.57<br /> | |||
</td> | |||
<td>12/7<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>13<br /> | |||
</td> | |||
<td style="text-align: right;">1012.46<br /> | |||
</td> | |||
<td>9/5, 25/14<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>14<br /> | |||
</td> | |||
<td style="text-align: right;">1090.34<br /> | |||
</td> | |||
<td>15/8<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>15<br /> | |||
</td> | |||
<td style="text-align: right;">1168.22<br /> | |||
</td> | |||
<td>63/32, 96/49, 55/28, 108/55, 125/64<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>16<br /> | |||
</td> | |||
<td style="text-align: right;">46.10<br /> | |||
</td> | |||
<td>33/32, 36/35, 50/49<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>17<br /> | |||
</td> | |||
<td style="text-align: right;">123.98<br /> | |||
</td> | |||
<td>15/14, 27/25<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>18<br /> | |||
</td> | |||
<td style="text-align: right;">201.86<br /> | |||
</td> | |||
<td>9/8<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>19<br /> | |||
</td> | |||
<td style="text-align: right;">279.74<br /> | |||
</td> | |||
<td>33/28<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>20<br /> | |||
</td> | |||
<td style="text-align: right;">357.62<br /> | |||
</td> | |||
<td>27/22<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>21<br /> | |||
</td> | |||
<td style="text-align: right;">435.51<br /> | |||
</td> | |||
<td>9/7<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
*in 11-limit POTE tuning<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Spectrum of Valentine Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:2 -->Spectrum of Valentine Tunings by Eigenmonzos</h1> | ||