4L 1s

Revision as of 19:36, 28 November 2011 by Wikispaces>keenanpepper (**Imported revision 279912480 - Original comment: **)

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Original Wikitext content:

The scale with the lowest harmonic entropy for this [[MOSScales|MOS]] pattern is [[semiphore]], in which two generators make a 4/3. The other interesting scale is [[Semicomma family|orwell]], in which the generator is approximately 7/6 and three of them make an 8/5.

All scales of this form are necessarily proper (because there is only one small step).
||||||||||||~ Generator ||~ Cents ||~ s ||~ L-s ||~ Comments ||
|| 1\5 ||   ||   ||   ||   ||   || 240 || 240 || 0 ||=   ||
||   ||   ||   ||   || 5\24 ||   || 250 || 200 || 50 ||= Semiphore is around here ||
||   ||   ||   || 4\19 ||   ||   || 252.63 ||   ||   ||=   ||
||   ||   || 3\14 ||   ||   ||   || 257.14 ||   ||   ||=   ||
||   ||   ||   ||   || 8\37 ||   || 259.46 ||   ||   ||=   ||
||   ||   ||   ||   ||   ||   || 1200/(3+phi) ||   ||   ||= Golden [[bug]] / golden [[superpelog]] ||
||   ||   ||   || 5\23 ||   ||   || 260.87 ||   ||   ||=   ||
||   || 2\9 ||   ||   ||   ||   || 266.67 || 133.33 || 133.33 ||= Optimum rank range (L/s=2/1) bug ||
||   ||   ||   ||   || 7\31 ||   || 270.97 ||   ||   ||=   ||
||   ||   ||   ||   ||   || 12\53 || 271.70 ||   ||   ||= Orwell is around here ||
||   ||   ||   || 5\22 ||   ||   || 272.73 ||   ||   ||=   ||
||   ||   || 3\13 ||   ||   ||   || 276.92 || 92.31 || 184.62 ||=   ||
|| 1\4 ||   ||   ||   ||   ||   || 300 || 0 || 300 ||=   ||

Original HTML content:

<html><head><title>4L 1s</title></head><body>The scale with the lowest harmonic entropy for this <a class="wiki_link" href="/MOSScales">MOS</a> pattern is <a class="wiki_link" href="/semiphore">semiphore</a>, in which two generators make a 4/3. The other interesting scale is <a class="wiki_link" href="/Semicomma%20family">orwell</a>, in which the generator is approximately 7/6 and three of them make an 8/5.<br />
<br />
All scales of this form are necessarily proper (because there is only one small step).<br />


<table class="wiki_table">
    <tr>
        <th colspan="6">Generator<br />
</th>
        <th>Cents<br />
</th>
        <th>s<br />
</th>
        <th>L-s<br />
</th>
        <th>Comments<br />
</th>
    </tr>
    <tr>
        <td>1\5<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>240<br />
</td>
        <td>240<br />
</td>
        <td>0<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5\24<br />
</td>
        <td><br />
</td>
        <td>250<br />
</td>
        <td>200<br />
</td>
        <td>50<br />
</td>
        <td style="text-align: center;">Semiphore is around here<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>4\19<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>252.63<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>3\14<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>257.14<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>8\37<br />
</td>
        <td><br />
</td>
        <td>259.46<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>1200/(3+phi)<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">Golden <a class="wiki_link" href="/bug">bug</a> / golden <a class="wiki_link" href="/superpelog">superpelog</a><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5\23<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>260.87<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>2\9<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>266.67<br />
</td>
        <td>133.33<br />
</td>
        <td>133.33<br />
</td>
        <td style="text-align: center;">Optimum rank range (L/s=2/1) bug<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>7\31<br />
</td>
        <td><br />
</td>
        <td>270.97<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>12\53<br />
</td>
        <td>271.70<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">Orwell is around here<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5\22<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>272.73<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>3\13<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>276.92<br />
</td>
        <td>92.31<br />
</td>
        <td>184.62<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td>1\4<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>300<br />
</td>
        <td>0<br />
</td>
        <td>300<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
</table>

</body></html>