10L 2s: Difference between revisions

Revision as of 22:10, 25 June 2012

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This revision was by author JosephRuhf and made on 2012-06-25 22:10:30 UTC.

The original revision id was 347988884.

The revision comment was:

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Original Wikitext content:

The only significant harmonic entropy minimum with this MOS pattern is [[Diaschismic family|srutal/pajara]][12], which is simply [[2L 8s|decatonic]] with two more notes added in.

All scales with this MOS pattern are [[Rothenberg propriety|proper]], because there is only one small step per period.

||||||||~ Generator ||~   ||~   ||~ Cents ||~ Comments ||
|| 1\12 ||   ||   ||   ||   ||   || 100 ||=   ||
||   ||   ||   ||   ||   || 6/70 || 102.86 ||   ||
||   ||   ||   ||   || 5\58 ||   || 103.45 ||   ||
||   ||   ||   ||   ||   || 9/104 || 103.84 ||   ||
||   ||   ||   || 4\46 ||   ||   || 104.35 ||=   ||
||   ||   ||   ||   ||   || 11/126 || 104.76 ||   ||
||   ||   ||   ||   || 7/80 ||   || 105 ||   ||
||   ||   ||   ||   ||   || 10\114 || 105.26 ||   ||
||   ||   || 3\34 ||   ||   ||   || 105.88 ||= Srutal/pajara is around here ||
||   ||   ||   ||   ||   || 11\124 || 106.45 ||   ||
||   ||   ||   ||   || 8\90 ||   || 106.__6__ ||   ||
||   ||   ||   ||   ||   || 13\146 || 106.85 ||   ||
||   ||   ||   || 5\56 ||   ||   || 107.14 ||=   ||
||   ||   ||   ||   ||   || 12/134 || 107.46 ||   ||
||   ||   ||   ||   || 7\78 ||   || 107.69 ||   ||
||   ||   ||   ||   ||   || 9/100 || 108 ||   ||
||   || 2\22 ||   ||   ||   ||   || 109.__09__ ||= Boundary of propriety for near-MOS
Optimal rank range (L/s=1/2) for MOS ||
||   ||   ||   ||   ||   || 9\98 || 110.2 ||   ||
||   ||   ||   ||   || 7/76 ||   || 110.53 ||   ||
||   ||   ||   ||   ||   || 12\130 || 110.77 ||   ||
||   ||   ||   || 5/54 ||   ||   || 111.__1__ ||=   ||
||   ||   ||   ||   ||   || 13\140 || 111.43 ||   ||
||   ||   ||   ||   || 8/86 ||   || 111.63 ||   ||
||   ||   ||   ||   ||   || 11/118 || 111.86 ||   ||
||   ||   || 3\32 ||   ||   ||   || 112.5 ||=   ||
||   ||   ||   ||   ||   || 10\106 || 113.21 ||   ||
||   ||   ||   ||   || 7/74 ||   || 113.51 ||   ||
||   ||   ||   ||   ||   || 11\116 || 113.79 ||   ||
||   ||   ||   || 4/42 ||   ||   || 114.29 ||=   ||
||   ||   ||   ||   ||   || 9/94 || 114.89 ||   ||
||   ||   ||   ||   || 5/52 ||   || 115.385 ||   ||
||   ||   ||   ||   ||   || 6\62 || 116.13 ||   ||
|| 1\10 ||   ||   ||   ||   ||   || 120 ||=   ||

Original HTML content:

<html><head><title>10L 2s</title></head><body>The only significant harmonic entropy minimum with this MOS pattern is <a class="wiki_link" href="/Diaschismic%20family">srutal/pajara</a>[12], which is simply <a class="wiki_link" href="/2L%208s">decatonic</a> with two more notes added in.<br />
<br />
All scales with this MOS pattern are <a class="wiki_link" href="/Rothenberg%20propriety">proper</a>, because there is only one small step per period.<br />
<br />


<table class="wiki_table">
    <tr>
        <th colspan="4">Generator<br />
</th>
        <th><br />
</th>
        <th><br />
</th>
        <th>Cents<br />
</th>
        <th>Comments<br />
</th>
    </tr>
    <tr>
        <td>1\12<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>100<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>6/70<br />
</td>
        <td>102.86<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5\58<br />
</td>
        <td><br />
</td>
        <td>103.45<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>9/104<br />
</td>
        <td>103.84<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>4\46<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>104.35<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>11/126<br />
</td>
        <td>104.76<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>7/80<br />
</td>
        <td><br />
</td>
        <td>105<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>10\114<br />
</td>
        <td>105.26<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>3\34<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>105.88<br />
</td>
        <td style="text-align: center;">Srutal/pajara is around here<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>11\124<br />
</td>
        <td>106.45<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>8\90<br />
</td>
        <td><br />
</td>
        <td>106.<u>6</u><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>13\146<br />
</td>
        <td>106.85<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5\56<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>107.14<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>12/134<br />
</td>
        <td>107.46<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>7\78<br />
</td>
        <td><br />
</td>
        <td>107.69<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>9/100<br />
</td>
        <td>108<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>2\22<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>109.<u>09</u><br />
</td>
        <td style="text-align: center;">Boundary of propriety for near-MOS<br />
Optimal rank range (L/s=1/2) for MOS<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>9\98<br />
</td>
        <td>110.2<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>7/76<br />
</td>
        <td><br />
</td>
        <td>110.53<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>12\130<br />
</td>
        <td>110.77<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5/54<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>111.<u>1</u><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>13\140<br />
</td>
        <td>111.43<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>8/86<br />
</td>
        <td><br />
</td>
        <td>111.63<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>11/118<br />
</td>
        <td>111.86<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>3\32<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>112.5<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>10\106<br />
</td>
        <td>113.21<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>7/74<br />
</td>
        <td><br />
</td>
        <td>113.51<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>11\116<br />
</td>
        <td>113.79<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>4/42<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>114.29<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>9/94<br />
</td>
        <td>114.89<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5/52<br />
</td>
        <td><br />
</td>
        <td>115.385<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>6\62<br />
</td>
        <td>116.13<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1\10<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>120<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
</table>

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10L 2s: Difference between revisions

Revision as of 22:10, 25 June 2012

IMPORTED REVISION FROM WIKISPACES

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Original HTML content:

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