List of edo-distinct 16et rank two temperaments

Revision as of 11:01, 6 February 2014 by Wikispaces>genewardsmith (**Imported revision 487726232 - Original comment: **)

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=5-limit temperaments= 
|| Period generator || Wedgie || Name || Complexity || Commas ||
|| 16 7 || <<1 -3 -7]] || Mavila || 1.377 || 135/128 ||
|| 8 1 || <<2 10 11]] || || 3.113 || 59049/51200 ||
|| 16 5 || <<3 7 4]] || Laconic || 2.149 || 2187/2000 ||
|| 4 1 || <<4 4 -3]] || Diminished || 1.826 || 648/625 ||
|| 16 3 || <<5 1 -10]] || Magic || 2.417 || 3125/3072 ||
|| 8 3 || <<6 -2 -17]] || || 3.484 || 140625/131072 ||
|| 16 1 || <<7 11 1]] || || 3.743 || 177147/156250 ||
|| 2 1 || <<8 -8 -31]] || || 6.008 || 2562890625/2147483648 ||

=7-limit temperaments= 
|| Period generator || Wedgie || Name || Complexity || Commas ||
|| 16 7 || <<1 -3 5 -7 5 20]] || Armodue || 1.804 || 36/35 135/128 ||
|| 8 1 || <<2 -6 -6 -14 -15 3]] || Bipelog || 2.546 || 50/49 135/128 ||
|| 16 5 || <<3 7 -1 4 -10 -22]] || Gorgo || 2.252 || 36/35 1029/1024 ||
|| 4 1 || <<4 4 4 -3 -5 -2]] || Diminished || 1.494 || 36/35 50/49 ||
|| 16 3 || <<5 1 9 -10 0 18]] || || 2.430 || 36/35 1875/1792 ||
|| 8 3 || <<6 -2 -2 -17 -20 1]] || Lemba || 3.086 || 50/49 525/512 ||
|| 16 1 || <<7 11 3 1 -15 -24]] || || 3.369 || 36/35 51200/50421 ||
|| 2 1 || <<8 8 -8 -6 -35 -41]] || || 4.993 || 648/625 1323/1280 ||

=11-limit temperaments= 
|| Period generator || Wedgie || Name || Complexity || Commas ||
|| 16 7 || <<1 -3 5 -1 -7 5 -5 20 8 -20]] || Armodue || 1.603 || 33/32 36/35 45/44 ||
|| 8 1 || <<2 -6 -6 -2 -14 -15 -10 3 16 15]] || Bipelog || 2.211 || 33/32 45/44 50/49 ||
|| 16 5 || <<3 7 -1 -3 4 -10 -15 -22 -31 -5]] || || 2.320 || 33/32 36/35 352/343 ||
|| 4 1 || <<4 4 4 12 -3 -5 5 -2 14 20]] || Demolished || 1.831 || 36/35 45/44 50/49 ||
|| 16 3 || <<5 1 9 11 -10 0 0 18 22 0]] || || 2.303 || 36/35 45/44 363/343 ||
|| 8 3 || <<6 -2 -2 -6 -17 -20 -30 1 -7 -10]] || || 3.032 || 50/49 176/175 363/343 ||
|| 16 1 || <<7 11 3 9 1 -15 -10 -24 -17 15]] || Slurpee || 2.916 || 36/35 121/120 352/343 ||
|| 2 1 || <<8 8 8 8 -6 -10 -15 -4 -9 -5]] || || 2.606 || 36/35 50/49 363/343 ||

Original HTML content:

<html><head><title>List of edo-distinct 16et rank two temperaments</title></head><body><br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x5-limit temperaments"></a><!-- ws:end:WikiTextHeadingRule:0 -->5-limit temperaments</h1>
 

<table class="wiki_table">
    <tr>
        <td>Period generator<br />
</td>
        <td>Wedgie<br />
</td>
        <td>Name<br />
</td>
        <td>Complexity<br />
</td>
        <td>Commas<br />
</td>
    </tr>
    <tr>
        <td>16 7<br />
</td>
        <td>&lt;&lt;1 -3 -7]]<br />
</td>
        <td>Mavila<br />
</td>
        <td>1.377<br />
</td>
        <td>135/128<br />
</td>
    </tr>
    <tr>
        <td>8 1<br />
</td>
        <td>&lt;&lt;2 10 11]]<br />
</td>
        <td><br />
</td>
        <td>3.113<br />
</td>
        <td>59049/51200<br />
</td>
    </tr>
    <tr>
        <td>16 5<br />
</td>
        <td>&lt;&lt;3 7 4]]<br />
</td>
        <td>Laconic<br />
</td>
        <td>2.149<br />
</td>
        <td>2187/2000<br />
</td>
    </tr>
    <tr>
        <td>4 1<br />
</td>
        <td>&lt;&lt;4 4 -3]]<br />
</td>
        <td>Diminished<br />
</td>
        <td>1.826<br />
</td>
        <td>648/625<br />
</td>
    </tr>
    <tr>
        <td>16 3<br />
</td>
        <td>&lt;&lt;5 1 -10]]<br />
</td>
        <td>Magic<br />
</td>
        <td>2.417<br />
</td>
        <td>3125/3072<br />
</td>
    </tr>
    <tr>
        <td>8 3<br />
</td>
        <td>&lt;&lt;6 -2 -17]]<br />
</td>
        <td><br />
</td>
        <td>3.484<br />
</td>
        <td>140625/131072<br />
</td>
    </tr>
    <tr>
        <td>16 1<br />
</td>
        <td>&lt;&lt;7 11 1]]<br />
</td>
        <td><br />
</td>
        <td>3.743<br />
</td>
        <td>177147/156250<br />
</td>
    </tr>
    <tr>
        <td>2 1<br />
</td>
        <td>&lt;&lt;8 -8 -31]]<br />
</td>
        <td><br />
</td>
        <td>6.008<br />
</td>
        <td>2562890625/2147483648<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="x7-limit temperaments"></a><!-- ws:end:WikiTextHeadingRule:2 -->7-limit temperaments</h1>
 

<table class="wiki_table">
    <tr>
        <td>Period generator<br />
</td>
        <td>Wedgie<br />
</td>
        <td>Name<br />
</td>
        <td>Complexity<br />
</td>
        <td>Commas<br />
</td>
    </tr>
    <tr>
        <td>16 7<br />
</td>
        <td>&lt;&lt;1 -3 5 -7 5 20]]<br />
</td>
        <td>Armodue<br />
</td>
        <td>1.804<br />
</td>
        <td>36/35 135/128<br />
</td>
    </tr>
    <tr>
        <td>8 1<br />
</td>
        <td>&lt;&lt;2 -6 -6 -14 -15 3]]<br />
</td>
        <td>Bipelog<br />
</td>
        <td>2.546<br />
</td>
        <td>50/49 135/128<br />
</td>
    </tr>
    <tr>
        <td>16 5<br />
</td>
        <td>&lt;&lt;3 7 -1 4 -10 -22]]<br />
</td>
        <td>Gorgo<br />
</td>
        <td>2.252<br />
</td>
        <td>36/35 1029/1024<br />
</td>
    </tr>
    <tr>
        <td>4 1<br />
</td>
        <td>&lt;&lt;4 4 4 -3 -5 -2]]<br />
</td>
        <td>Diminished<br />
</td>
        <td>1.494<br />
</td>
        <td>36/35 50/49<br />
</td>
    </tr>
    <tr>
        <td>16 3<br />
</td>
        <td>&lt;&lt;5 1 9 -10 0 18]]<br />
</td>
        <td><br />
</td>
        <td>2.430<br />
</td>
        <td>36/35 1875/1792<br />
</td>
    </tr>
    <tr>
        <td>8 3<br />
</td>
        <td>&lt;&lt;6 -2 -2 -17 -20 1]]<br />
</td>
        <td>Lemba<br />
</td>
        <td>3.086<br />
</td>
        <td>50/49 525/512<br />
</td>
    </tr>
    <tr>
        <td>16 1<br />
</td>
        <td>&lt;&lt;7 11 3 1 -15 -24]]<br />
</td>
        <td><br />
</td>
        <td>3.369<br />
</td>
        <td>36/35 51200/50421<br />
</td>
    </tr>
    <tr>
        <td>2 1<br />
</td>
        <td>&lt;&lt;8 8 -8 -6 -35 -41]]<br />
</td>
        <td><br />
</td>
        <td>4.993<br />
</td>
        <td>648/625 1323/1280<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="x11-limit temperaments"></a><!-- ws:end:WikiTextHeadingRule:4 -->11-limit temperaments</h1>
 

<table class="wiki_table">
    <tr>
        <td>Period generator<br />
</td>
        <td>Wedgie<br />
</td>
        <td>Name<br />
</td>
        <td>Complexity<br />
</td>
        <td>Commas<br />
</td>
    </tr>
    <tr>
        <td>16 7<br />
</td>
        <td>&lt;&lt;1 -3 5 -1 -7 5 -5 20 8 -20]]<br />
</td>
        <td>Armodue<br />
</td>
        <td>1.603<br />
</td>
        <td>33/32 36/35 45/44<br />
</td>
    </tr>
    <tr>
        <td>8 1<br />
</td>
        <td>&lt;&lt;2 -6 -6 -2 -14 -15 -10 3 16 15]]<br />
</td>
        <td>Bipelog<br />
</td>
        <td>2.211<br />
</td>
        <td>33/32 45/44 50/49<br />
</td>
    </tr>
    <tr>
        <td>16 5<br />
</td>
        <td>&lt;&lt;3 7 -1 -3 4 -10 -15 -22 -31 -5]]<br />
</td>
        <td><br />
</td>
        <td>2.320<br />
</td>
        <td>33/32 36/35 352/343<br />
</td>
    </tr>
    <tr>
        <td>4 1<br />
</td>
        <td>&lt;&lt;4 4 4 12 -3 -5 5 -2 14 20]]<br />
</td>
        <td>Demolished<br />
</td>
        <td>1.831<br />
</td>
        <td>36/35 45/44 50/49<br />
</td>
    </tr>
    <tr>
        <td>16 3<br />
</td>
        <td>&lt;&lt;5 1 9 11 -10 0 0 18 22 0]]<br />
</td>
        <td><br />
</td>
        <td>2.303<br />
</td>
        <td>36/35 45/44 363/343<br />
</td>
    </tr>
    <tr>
        <td>8 3<br />
</td>
        <td>&lt;&lt;6 -2 -2 -6 -17 -20 -30 1 -7 -10]]<br />
</td>
        <td><br />
</td>
        <td>3.032<br />
</td>
        <td>50/49 176/175 363/343<br />
</td>
    </tr>
    <tr>
        <td>16 1<br />
</td>
        <td>&lt;&lt;7 11 3 9 1 -15 -10 -24 -17 15]]<br />
</td>
        <td>Slurpee<br />
</td>
        <td>2.916<br />
</td>
        <td>36/35 121/120 352/343<br />
</td>
    </tr>
    <tr>
        <td>2 1<br />
</td>
        <td>&lt;&lt;8 8 8 8 -6 -10 -15 -4 -9 -5]]<br />
</td>
        <td><br />
</td>
        <td>2.606<br />
</td>
        <td>36/35 50/49 363/343<br />
</td>
    </tr>
</table>

</body></html>