Semaphore and godzilla
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author keenanpepper and made on 2011-08-17 04:44:08 UTC.
- The original revision id was 246436441.
- 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:
Semaphore, namesake of the [[Semaphore family]], is characterized by the vanishing of 49/48, so the generator represents 8/7 and 7/6 equally. This results in a very low complexity 2.3.7 temperament, with the drawback that most intervals of 7 must be out of tune by at least half of 49/48, or about 18 cents. If 5 is mapped at all, it makes sense to map it to -8 generators by tempering out 81/80, making it a meantone temperament. This temperament is called "godzilla". ==Interval chains== ===Basic semaphore=== || 198.46 || 448.85 || 699.23 || 949.62 || 0 || 250.38 || 500.77 || 751.15 || 1001.54 || || 9/8 || 9/7 || 3/2 || 12/7~7/4 || 1/1 || 8/7~7/6 || 4/3 || 14/9 || 16/9 || ===Godzilla=== || 378.92 || 631.56 || 884.19 || 1136.83 || 189.46 || 442.10 || 694.73 || 947.37 || 0 || 252.63 || 505.27 || 757.90 || 1010.54 || 63.17 || 315.81 || 568.44 || 821.08 || || 5/4 || 10/7 || 5/3 || 27/14 || 10/9~9/8 || 9/7 || 3/2 || 12/7~7/4 || 1/1 || 8/7~7/6 || 4/3 || 14/9 || 16/9~9/5 || 28/27~21/20 || 6/5 || 7/5 || 8/5 ||
Original HTML content:
<html><head><title>Semaphore and Godzilla</title></head><body>Semaphore, namesake of the <a class="wiki_link" href="/Semaphore%20family">Semaphore family</a>, is characterized by the vanishing of 49/48, so the generator represents 8/7 and 7/6 equally. This results in a very low complexity 2.3.7 temperament, with the drawback that most intervals of 7 must be out of tune by at least half of 49/48, or about 18 cents.<br />
<br />
If 5 is mapped at all, it makes sense to map it to -8 generators by tempering out 81/80, making it a meantone temperament. This temperament is called "godzilla".<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><a name="x-Interval chains"></a><!-- ws:end:WikiTextHeadingRule:0 -->Interval chains</h2>
<!-- ws:start:WikiTextHeadingRule:2:<h3> --><h3 id="toc1"><a name="x-Interval chains-Basic semaphore"></a><!-- ws:end:WikiTextHeadingRule:2 -->Basic semaphore</h3>
<table class="wiki_table">
<tr>
<td>198.46<br />
</td>
<td>448.85<br />
</td>
<td>699.23<br />
</td>
<td>949.62<br />
</td>
<td>0<br />
</td>
<td>250.38<br />
</td>
<td>500.77<br />
</td>
<td>751.15<br />
</td>
<td>1001.54<br />
</td>
</tr>
<tr>
<td>9/8<br />
</td>
<td>9/7<br />
</td>
<td>3/2<br />
</td>
<td>12/7~7/4<br />
</td>
<td>1/1<br />
</td>
<td>8/7~7/6<br />
</td>
<td>4/3<br />
</td>
<td>14/9<br />
</td>
<td>16/9<br />
</td>
</tr>
</table>
<!-- ws:start:WikiTextHeadingRule:4:<h3> --><h3 id="toc2"><a name="x-Interval chains-Godzilla"></a><!-- ws:end:WikiTextHeadingRule:4 -->Godzilla</h3>
<table class="wiki_table">
<tr>
<td>378.92<br />
</td>
<td>631.56<br />
</td>
<td>884.19<br />
</td>
<td>1136.83<br />
</td>
<td>189.46<br />
</td>
<td>442.10<br />
</td>
<td>694.73<br />
</td>
<td>947.37<br />
</td>
<td>0<br />
</td>
<td>252.63<br />
</td>
<td>505.27<br />
</td>
<td>757.90<br />
</td>
<td>1010.54<br />
</td>
<td>63.17<br />
</td>
<td>315.81<br />
</td>
<td>568.44<br />
</td>
<td>821.08<br />
</td>
</tr>
<tr>
<td>5/4<br />
</td>
<td>10/7<br />
</td>
<td>5/3<br />
</td>
<td>27/14<br />
</td>
<td>10/9~9/8<br />
</td>
<td>9/7<br />
</td>
<td>3/2<br />
</td>
<td>12/7~7/4<br />
</td>
<td>1/1<br />
</td>
<td>8/7~7/6<br />
</td>
<td>4/3<br />
</td>
<td>14/9<br />
</td>
<td>16/9~9/5<br />
</td>
<td>28/27~21/20<br />
</td>
<td>6/5<br />
</td>
<td>7/5<br />
</td>
<td>8/5<br />
</td>
</tr>
</table>
</body></html>