Valentine

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Revision as of 19:15, 2 February 2015 by Wikispaces>Gedankenwelt (**Imported revision 539428490 - Original comment: **)
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IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author Gedankenwelt and made on 2015-02-02 19:15:56 UTC.
The original revision id was 539428490.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

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= 
||~ Eigenmonzo ||~ Minor Semitone ||
|| 12/11 || 75.319 ||
|| 8/7 || 77.058 ||
|| 7/5 || 77.186 ||
|| 5/4 || 77.263 ||
|| 11/9 || 77.508 ||
|| 7/6 || 77.761 (7 limit minimax) ||
|| 9/7 || 77.861 (9 limit minimax) ||
|| 4/3 || 77.995 (5 limit minimax, Carlos Alpha tuning) ||
|| 14/11 || 78.249 (11 limit minimax) ||
|| 10/9 || 78.277 ||
|| 11/8 || 78.760 ||
|| 6/5 || 78.910 ||
|| 11/10 || 82.502 ||

Original HTML content:

<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 />
<!-- 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>
 

<table class="wiki_table">
    <tr>
        <th>Eigenmonzo<br />
</th>
        <th>Minor Semitone<br />
</th>
    </tr>
    <tr>
        <td>12/11<br />
</td>
        <td>75.319<br />
</td>
    </tr>
    <tr>
        <td>8/7<br />
</td>
        <td>77.058<br />
</td>
    </tr>
    <tr>
        <td>7/5<br />
</td>
        <td>77.186<br />
</td>
    </tr>
    <tr>
        <td>5/4<br />
</td>
        <td>77.263<br />
</td>
    </tr>
    <tr>
        <td>11/9<br />
</td>
        <td>77.508<br />
</td>
    </tr>
    <tr>
        <td>7/6<br />
</td>
        <td>77.761 (7 limit minimax)<br />
</td>
    </tr>
    <tr>
        <td>9/7<br />
</td>
        <td>77.861 (9 limit minimax)<br />
</td>
    </tr>
    <tr>
        <td>4/3<br />
</td>
        <td>77.995 (5 limit minimax, Carlos Alpha tuning)<br />
</td>
    </tr>
    <tr>
        <td>14/11<br />
</td>
        <td>78.249 (11 limit minimax)<br />
</td>
    </tr>
    <tr>
        <td>10/9<br />
</td>
        <td>78.277<br />
</td>
    </tr>
    <tr>
        <td>11/8<br />
</td>
        <td>78.760<br />
</td>
    </tr>
    <tr>
        <td>6/5<br />
</td>
        <td>78.910<br />
</td>
    </tr>
    <tr>
        <td>11/10<br />
</td>
        <td>82.502<br />
</td>
    </tr>
</table>

</body></html>
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