Semaphore and godzilla

Revision as of 11:57, 8 January 2014 by Wikispaces>genewardsmith (**Imported revision 481352564 - Original comment: **)

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Semaphore, of the [[Semiphore family]], is characterized by the vanishing of [[49_48|49/48]], so the generator represents [[8_7|8/7]] and [[7_6|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 the comma 49/48, or about 18 [[cent]]s. Semaphore is a play on the words "semi-" and "fourth."

If 5 is mapped at all, it can be sensibly mapped to -8 [[generator]]s by [[tempering out]] [[81_80|81/80]], making it a [[Meantone family#Godzilla|meantone temperament]]. This temperament is called [[Meantone family#Godzilla|godzilla]].

==Interval chains== 
===Semaphore=== 
|| 198.46 || 448.85 || 699.23 || 949.62 || 0 || 250.38 || 500.77 || 751.15 || 1001.54 ||
|| [[9_8|9/8]] || [[9_7|9/7]] || [[3_2|3/2]] || 12/7~7/4 || [[1_1|1/1]] || 8/7~7/6 || [[4_3|4/3]] || [[14_9|14/9]] || [[16_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|5/4]] || [[10_7|10/7]] || [[5_3|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|6/5]] || [[7_5|7/5]] || [[8_5|8/5]] ||
==MOSes== 
===5-note (proper)=== 
|| Small ("minor") interval || 198.46 || 448.85 || 699.23 || 949.62 ||
|| [[JI]] intervals represented || 9/8 || 9/7 || 3/2 || 12/7~7/4 ||
|| Large ("major") interval || 250.38 || 500.77 || 751.15 || 1001.54 ||
|| JI intervals represented || 8/7~7/6 || 4/3 || 14/9 || 16/9 ||
===9-note (improper)=== 
|| Small ("minor") interval || 63.17 || 252.63 || 315.81 || 505.27 || 568.44 || 757.90 || 821.08 || 1010.54 ||
|| JI intervals represented ||   || 8/7~7/6 || 6/5 || 4/3 || 7/5 || 14/9 || 8/5 || 16/9~9/5 ||
|| Large ("major") interval || 189.46 || 378.92 || 442.10 || 631.56 || 694.73 || 884.19 || 947.37 || 1136.83 ||
|| JI intervals represented || 10/9~9/8 || 5/4 || 9/7 || 10/7 || 3/2 || 5/3 || 12/7~7/4 ||   ||

=Music=
[[http://micro.soonlabel.com/gene_ward_smith/Others/Roncevaux/S__no_Contratempo_by_Roncevaux_on_SoundCloud___Hear_the_world_s_sounds.mp3|Só no Contratempo]] by [[https://soundcloud.com/lois-lancaster/s-no-contratempo|Roncevaux (Löis Lancaster)]]
[[http://micro.soonlabel.com/gene_ward_smith/Others/Roncevaux/__O_que_a_gente_quer__em_19_TET__temperamento_Godzilla__9___by_Roncevaux.mp3|O que a gente quer]] by[[https://soundcloud.com/lois-lancaster/o-que-a-gente-quer-em-19-tet|Roncevaux]]

Original HTML content:

<html><head><title>Semaphore and Godzilla</title></head><body>Semaphore, of the <a class="wiki_link" href="/Semiphore%20family">Semiphore family</a>, is characterized by the vanishing of <a class="wiki_link" href="/49_48">49/48</a>, so the generator represents <a class="wiki_link" href="/8_7">8/7</a> and <a class="wiki_link" href="/7_6">7/6</a> equally. This results in a very low <a class="wiki_link" href="/complexity">complexity</a> 2.3.7 <a class="wiki_link" href="/temperament">temperament</a>, with the drawback that most intervals of 7 must be out of tune by at least half of the comma 49/48, or about 18 <a class="wiki_link" href="/cent">cent</a>s. Semaphore is a play on the words &quot;semi-&quot; and &quot;fourth.&quot;<br />
<br />
If 5 is mapped at all, it can be sensibly mapped to -8 <a class="wiki_link" href="/generator">generator</a>s by <a class="wiki_link" href="/tempering%20out">tempering out</a> <a class="wiki_link" href="/81_80">81/80</a>, making it a <a class="wiki_link" href="/Meantone%20family#Godzilla">meantone temperament</a>. This temperament is called <a class="wiki_link" href="/Meantone%20family#Godzilla">godzilla</a>.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Interval chains"></a><!-- ws:end:WikiTextHeadingRule:0 -->Interval chains</h2>
 <!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="x-Interval chains-Semaphore"></a><!-- ws:end:WikiTextHeadingRule:2 -->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><a class="wiki_link" href="/9_8">9/8</a><br />
</td>
        <td><a class="wiki_link" href="/9_7">9/7</a><br />
</td>
        <td><a class="wiki_link" href="/3_2">3/2</a><br />
</td>
        <td>12/7~7/4<br />
</td>
        <td><a class="wiki_link" href="/1_1">1/1</a><br />
</td>
        <td>8/7~7/6<br />
</td>
        <td><a class="wiki_link" href="/4_3">4/3</a><br />
</td>
        <td><a class="wiki_link" href="/14_9">14/9</a><br />
</td>
        <td><a class="wiki_link" href="/16_9">16/9</a><br />
</td>
    </tr>
</table>

<!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><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><a class="wiki_link" href="/5_4">5/4</a><br />
</td>
        <td><a class="wiki_link" href="/10_7">10/7</a><br />
</td>
        <td><a class="wiki_link" href="/5_3">5/3</a><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><a class="wiki_link" href="/6_5">6/5</a><br />
</td>
        <td><a class="wiki_link" href="/7_5">7/5</a><br />
</td>
        <td><a class="wiki_link" href="/8_5">8/5</a><br />
</td>
    </tr>
</table>

<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="x-MOSes"></a><!-- ws:end:WikiTextHeadingRule:6 -->MOSes</h2>
 <!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="x-MOSes-5-note (proper)"></a><!-- ws:end:WikiTextHeadingRule:8 -->5-note (proper)</h3>
 

<table class="wiki_table">
    <tr>
        <td>Small (&quot;minor&quot;) interval<br />
</td>
        <td>198.46<br />
</td>
        <td>448.85<br />
</td>
        <td>699.23<br />
</td>
        <td>949.62<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/JI">JI</a> intervals represented<br />
</td>
        <td>9/8<br />
</td>
        <td>9/7<br />
</td>
        <td>3/2<br />
</td>
        <td>12/7~7/4<br />
</td>
    </tr>
    <tr>
        <td>Large (&quot;major&quot;) interval<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>JI intervals represented<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:10:&lt;h3&gt; --><h3 id="toc5"><a name="x-MOSes-9-note (improper)"></a><!-- ws:end:WikiTextHeadingRule:10 -->9-note (improper)</h3>
 

<table class="wiki_table">
    <tr>
        <td>Small (&quot;minor&quot;) interval<br />
</td>
        <td>63.17<br />
</td>
        <td>252.63<br />
</td>
        <td>315.81<br />
</td>
        <td>505.27<br />
</td>
        <td>568.44<br />
</td>
        <td>757.90<br />
</td>
        <td>821.08<br />
</td>
        <td>1010.54<br />
</td>
    </tr>
    <tr>
        <td>JI intervals represented<br />
</td>
        <td><br />
</td>
        <td>8/7~7/6<br />
</td>
        <td>6/5<br />
</td>
        <td>4/3<br />
</td>
        <td>7/5<br />
</td>
        <td>14/9<br />
</td>
        <td>8/5<br />
</td>
        <td>16/9~9/5<br />
</td>
    </tr>
    <tr>
        <td>Large (&quot;major&quot;) interval<br />
</td>
        <td>189.46<br />
</td>
        <td>378.92<br />
</td>
        <td>442.10<br />
</td>
        <td>631.56<br />
</td>
        <td>694.73<br />
</td>
        <td>884.19<br />
</td>
        <td>947.37<br />
</td>
        <td>1136.83<br />
</td>
    </tr>
    <tr>
        <td>JI intervals represented<br />
</td>
        <td>10/9~9/8<br />
</td>
        <td>5/4<br />
</td>
        <td>9/7<br />
</td>
        <td>10/7<br />
</td>
        <td>3/2<br />
</td>
        <td>5/3<br />
</td>
        <td>12/7~7/4<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:12 -->Music</h1>
<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Roncevaux/S__no_Contratempo_by_Roncevaux_on_SoundCloud___Hear_the_world_s_sounds.mp3" rel="nofollow">Só no Contratempo</a> by <a class="wiki_link_ext" href="https://soundcloud.com/lois-lancaster/s-no-contratempo" rel="nofollow">Roncevaux (Löis Lancaster)</a><br />
<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Roncevaux/__O_que_a_gente_quer__em_19_TET__temperamento_Godzilla__9___by_Roncevaux.mp3" rel="nofollow">O que a gente quer</a> by<a class="wiki_link_ext" href="https://soundcloud.com/lois-lancaster/o-que-a-gente-quer-em-19-tet" rel="nofollow">Roncevaux</a></body></html>