Valentine
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:<h1> --><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:<h1> --><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>