Negri extensions

IMPORTED REVISION FROM WIKISPACES

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This revision was by author genewardsmith and made on 2012-11-11 16:38:33 UTC.

The original revision id was 381319640.

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:

[[Negri]] temperament has various extensions to the 11 limit.

=Tuning Spectra=
==Spectrum of Negri Tunings by Eigenmonzos== 

Gencom: [2 15/14; 45/44 49/48 56/55 78/77]
Gencom map: [<1 2 2 3 4 4|, <0 -4 3 -2 -5 -3|]
||~ Eigenmonzo ||~ Supersecor ||
|| 16/15 || 111.731 ||
|| 8/7 || 115.587 ||
|| 11/9 || 115.803 ||
|| 15/14 || 119.443 ||
|| 16/13 || 119.824 ||
|| 7/5 || 123.498 ||
|| 15/13 || 123.871 ||
|| 13/10 || 124.298 ||
|| 4/3 || 124.511 (7 and 9 limit minimax) ||
|| 30517578125/26795786661 || 125.469 (7 limit least squares) ||
|| |0 63 -26 -1> || 125.579 (9 limit least squares) ||
|| 10/9 || 125.673 ||
|| 11337408/9765625 || 126.238 (5 limit least squares) ||
|| 6/5 || 126.337 (5 limit minimax) ||
|| |0 79 -40 -5 16 2> || 126.445 (13 limit least squares) ||
|| |0 34 -17 -2 7> || 126.511 (11 limit least squares) ||
|| |0 73 -46 -4 20 4> || 126.619 (15 limit least squares) ||
|| 18/13 || 127.324 ||
|| 9/7 || 127.486 (11, 13 and 15 limit minimax) ||
|| 14/13 || 128.298 ||
|| 5/4 || 128.771 ||
|| 11/10 || 129.374 ||
|| 11/8 || 129.736 ||
|| 7/6 || 133.435 ||
|| 15/11 || 134.238 ||
|| 13/12 || 138.573 ||
|| 14/11 || 139.169 ||
|| 13/11 || 144.605 ||
|| 12/11 || 150.637 ||

==Spectrum of Negril Tunings by Eigenmonzos== 

Gencom: [2 15/14; 49/48 65/64 91/90 875/858]
Gencom map: [<1 2 2 3 2 4|, <0 -4 3 -2 14 -3|]
||~ Eigenmonzo ||~ Supersecor ||
|| 16/15 || 111.731 ||
|| 8/7 || 115.587 ||
|| 15/14 || 119.443 ||
|| 16/13 || 119.824 ||
|| 7/5 || 123.498 ||
|| 15/13 || 123.871 ||
|| 14/11 || 123.906 ||
|| 11/10 || 124.091 ||
|| 13/11 || 124.164 ||
|| 15/11 || 124.203 ||
|| 13/10 || 124.298 ||
|| 4/3 || 124.511 (7, 9, 11, 13 and 15 limit minimax) ||
|| 11/9 || 124.882 ||
|| 12/11 || 124.965 ||
|| 11/8 || 125.094 ||
|| 30517578125/26795786661 || 125.469 (7 limit least squares) ||
|| |0 63 -26 -1> || 125.579 (9 limit least squares) ||
|| 10/9 || 125.673 ||
|| 11337408/9765625 || 126.238 (5 limit least squares) ||
|| 6/5 || 126.337 (5 limit minimax) ||
|| 18/13 || 127.324 ||
|| 9/7 || 127.486 ||
|| 14/13 || 128.298 ||
|| 5/4 || 128.771 ||
|| 7/6 || 133.435 ||
|| 13/12 || 138.573 ||

==Spectrum of Negric Tunings by Eigenmonzos== 

Gencom: [2 15/14; 33/32 49/48 65/64 91/90]
Gencom map: [<1 2 2 3 3 4|, <0 -4 3 -2 4 -3|]
||~ Eigenmonzo ||~ Supersecor ||
|| 16/15 || 111.731 ||
|| 8/7 || 115.587 ||
|| 15/14 || 119.443 ||
|| 16/13 || 119.824 ||
|| 7/5 || 123.498 ||
|| 15/13 || 123.871 ||
|| 13/10 || 124.298 ||
|| 4/3 || 124.511 (7 and 9 limit minimax) ||
|| 30517578125/26795786661 || 125.469 (7 limit least squares) ||
|| |0 63 -26 -1> || 125.579 (9 limit least squares) ||
|| 10/9 || 125.673 ||
|| 11337408/9765625 || 126.238 (5 limit least squares) ||
|| 6/5 || 126.337 (5 limit minimax) ||
|| 18/13 || 127.324 ||
|| 9/7 || 127.486 ||
|| 14/13 || 128.298 ||
|| 5/4 || 128.771 ||
|| 11/9 || 128.951 (11, 13 and 15 limit minimax) ||
|| 13/11 || 130.113 ||
|| 14/11 || 130.415 ||
|| 12/11 || 131.170 ||
|| 15/11 || 132.610 ||
|| 7/6 || 133.435 ||
|| 11/8 || 137.829 ||
|| 13/12 || 138.573 ||
|| 11/10 || 165.004 ||

==Spectrum of Negroni Tunings by Eigenmonzos== 

Gencom: [2 15/14; 49/48 55/54 65/64 91/90]
Gencom map: [<1 2 2 3 5 4|, <0 -4 3 -2 -15 -3|]
||~ Eigenmonzo ||~ Supersecor ||
|| 16/15 || 111.731 ||
|| 8/7 || 115.587 ||
|| 15/14 || 119.443 ||
|| 16/13 || 119.824 ||
|| 11/9 || 121.799 (11, 13 and 15 limit minimax) ||
|| 12/11 || 122.785 ||
|| 11/8 || 123.245 ||
|| 7/5 || 123.498 ||
|| 15/13 || 123.871 ||
|| 15/11 || 124.068 ||
|| 13/11 || 124.101 ||
|| 11/10 || 124.166 ||
|| 13/10 || 124.298 ||
|| 14/11 || 124.424 ||
|| 4/3 || 124.511 (7 and 9 limit minimx) ||
|| 30517578125/26795786661 || 125.469 (7 limit least squares) ||
|| |0 63 -26 -1> || 125.579 (9 limit least squares) ||
|| 10/9 || 125.673 ||
|| 11337408/9765625 || 126.238 (5 limit least squares) ||
|| 6/5 || 126.337 (5 limit minimax) ||
|| 18/13 || 127.324 ||
|| 9/7 || 127.486 ||
|| 14/13 || 128.298 ||
|| 5/4 || 128.771 ||
|| 7/6 || 133.435 ||
|| 13/12 || 138.573 ||

Original HTML content:

<html><head><title>Negri extensions</title></head><body><a class="wiki_link" href="/Negri">Negri</a> temperament has various extensions to the 11 limit.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Tuning Spectra"></a><!-- ws:end:WikiTextHeadingRule:0 -->Tuning Spectra</h1>
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Tuning Spectra-Spectrum of Negri Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:2 -->Spectrum of Negri Tunings by Eigenmonzos</h2>
 <br />
Gencom: [2 15/14; 45/44 49/48 56/55 78/77]<br />
Gencom map: [&lt;1 2 2 3 4 4|, &lt;0 -4 3 -2 -5 -3|]<br />


<table class="wiki_table">
    <tr>
        <th>Eigenmonzo<br />
</th>
        <th>Supersecor<br />
</th>
    </tr>
    <tr>
        <td>16/15<br />
</td>
        <td>111.731<br />
</td>
    </tr>
    <tr>
        <td>8/7<br />
</td>
        <td>115.587<br />
</td>
    </tr>
    <tr>
        <td>11/9<br />
</td>
        <td>115.803<br />
</td>
    </tr>
    <tr>
        <td>15/14<br />
</td>
        <td>119.443<br />
</td>
    </tr>
    <tr>
        <td>16/13<br />
</td>
        <td>119.824<br />
</td>
    </tr>
    <tr>
        <td>7/5<br />
</td>
        <td>123.498<br />
</td>
    </tr>
    <tr>
        <td>15/13<br />
</td>
        <td>123.871<br />
</td>
    </tr>
    <tr>
        <td>13/10<br />
</td>
        <td>124.298<br />
</td>
    </tr>
    <tr>
        <td>4/3<br />
</td>
        <td>124.511 (7 and 9 limit minimax)<br />
</td>
    </tr>
    <tr>
        <td>30517578125/26795786661<br />
</td>
        <td>125.469 (7 limit least squares)<br />
</td>
    </tr>
    <tr>
        <td>|0 63 -26 -1&gt;<br />
</td>
        <td>125.579 (9 limit least squares)<br />
</td>
    </tr>
    <tr>
        <td>10/9<br />
</td>
        <td>125.673<br />
</td>
    </tr>
    <tr>
        <td>11337408/9765625<br />
</td>
        <td>126.238 (5 limit least squares)<br />
</td>
    </tr>
    <tr>
        <td>6/5<br />
</td>
        <td>126.337 (5 limit minimax)<br />
</td>
    </tr>
    <tr>
        <td>|0 79 -40 -5 16 2&gt;<br />
</td>
        <td>126.445 (13 limit least squares)<br />
</td>
    </tr>
    <tr>
        <td>|0 34 -17 -2 7&gt;<br />
</td>
        <td>126.511 (11 limit least squares)<br />
</td>
    </tr>
    <tr>
        <td>|0 73 -46 -4 20 4&gt;<br />
</td>
        <td>126.619 (15 limit least squares)<br />
</td>
    </tr>
    <tr>
        <td>18/13<br />
</td>
        <td>127.324<br />
</td>
    </tr>
    <tr>
        <td>9/7<br />
</td>
        <td>127.486 (11, 13 and 15 limit minimax)<br />
</td>
    </tr>
    <tr>
        <td>14/13<br />
</td>
        <td>128.298<br />
</td>
    </tr>
    <tr>
        <td>5/4<br />
</td>
        <td>128.771<br />
</td>
    </tr>
    <tr>
        <td>11/10<br />
</td>
        <td>129.374<br />
</td>
    </tr>
    <tr>
        <td>11/8<br />
</td>
        <td>129.736<br />
</td>
    </tr>
    <tr>
        <td>7/6<br />
</td>
        <td>133.435<br />
</td>
    </tr>
    <tr>
        <td>15/11<br />
</td>
        <td>134.238<br />
</td>
    </tr>
    <tr>
        <td>13/12<br />
</td>
        <td>138.573<br />
</td>
    </tr>
    <tr>
        <td>14/11<br />
</td>
        <td>139.169<br />
</td>
    </tr>
    <tr>
        <td>13/11<br />
</td>
        <td>144.605<br />
</td>
    </tr>
    <tr>
        <td>12/11<br />
</td>
        <td>150.637<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Tuning Spectra-Spectrum of Negril Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:4 -->Spectrum of Negril Tunings by Eigenmonzos</h2>
 <br />
Gencom: [2 15/14; 49/48 65/64 91/90 875/858]<br />
Gencom map: [&lt;1 2 2 3 2 4|, &lt;0 -4 3 -2 14 -3|]<br />


<table class="wiki_table">
    <tr>
        <th>Eigenmonzo<br />
</th>
        <th>Supersecor<br />
</th>
    </tr>
    <tr>
        <td>16/15<br />
</td>
        <td>111.731<br />
</td>
    </tr>
    <tr>
        <td>8/7<br />
</td>
        <td>115.587<br />
</td>
    </tr>
    <tr>
        <td>15/14<br />
</td>
        <td>119.443<br />
</td>
    </tr>
    <tr>
        <td>16/13<br />
</td>
        <td>119.824<br />
</td>
    </tr>
    <tr>
        <td>7/5<br />
</td>
        <td>123.498<br />
</td>
    </tr>
    <tr>
        <td>15/13<br />
</td>
        <td>123.871<br />
</td>
    </tr>
    <tr>
        <td>14/11<br />
</td>
        <td>123.906<br />
</td>
    </tr>
    <tr>
        <td>11/10<br />
</td>
        <td>124.091<br />
</td>
    </tr>
    <tr>
        <td>13/11<br />
</td>
        <td>124.164<br />
</td>
    </tr>
    <tr>
        <td>15/11<br />
</td>
        <td>124.203<br />
</td>
    </tr>
    <tr>
        <td>13/10<br />
</td>
        <td>124.298<br />
</td>
    </tr>
    <tr>
        <td>4/3<br />
</td>
        <td>124.511 (7, 9, 11, 13 and 15 limit minimax)<br />
</td>
    </tr>
    <tr>
        <td>11/9<br />
</td>
        <td>124.882<br />
</td>
    </tr>
    <tr>
        <td>12/11<br />
</td>
        <td>124.965<br />
</td>
    </tr>
    <tr>
        <td>11/8<br />
</td>
        <td>125.094<br />
</td>
    </tr>
    <tr>
        <td>30517578125/26795786661<br />
</td>
        <td>125.469 (7 limit least squares)<br />
</td>
    </tr>
    <tr>
        <td>|0 63 -26 -1&gt;<br />
</td>
        <td>125.579 (9 limit least squares)<br />
</td>
    </tr>
    <tr>
        <td>10/9<br />
</td>
        <td>125.673<br />
</td>
    </tr>
    <tr>
        <td>11337408/9765625<br />
</td>
        <td>126.238 (5 limit least squares)<br />
</td>
    </tr>
    <tr>
        <td>6/5<br />
</td>
        <td>126.337 (5 limit minimax)<br />
</td>
    </tr>
    <tr>
        <td>18/13<br />
</td>
        <td>127.324<br />
</td>
    </tr>
    <tr>
        <td>9/7<br />
</td>
        <td>127.486<br />
</td>
    </tr>
    <tr>
        <td>14/13<br />
</td>
        <td>128.298<br />
</td>
    </tr>
    <tr>
        <td>5/4<br />
</td>
        <td>128.771<br />
</td>
    </tr>
    <tr>
        <td>7/6<br />
</td>
        <td>133.435<br />
</td>
    </tr>
    <tr>
        <td>13/12<br />
</td>
        <td>138.573<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Tuning Spectra-Spectrum of Negric Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:6 -->Spectrum of Negric Tunings by Eigenmonzos</h2>
 <br />
Gencom: [2 15/14; 33/32 49/48 65/64 91/90]<br />
Gencom map: [&lt;1 2 2 3 3 4|, &lt;0 -4 3 -2 4 -3|]<br />


<table class="wiki_table">
    <tr>
        <th>Eigenmonzo<br />
</th>
        <th>Supersecor<br />
</th>
    </tr>
    <tr>
        <td>16/15<br />
</td>
        <td>111.731<br />
</td>
    </tr>
    <tr>
        <td>8/7<br />
</td>
        <td>115.587<br />
</td>
    </tr>
    <tr>
        <td>15/14<br />
</td>
        <td>119.443<br />
</td>
    </tr>
    <tr>
        <td>16/13<br />
</td>
        <td>119.824<br />
</td>
    </tr>
    <tr>
        <td>7/5<br />
</td>
        <td>123.498<br />
</td>
    </tr>
    <tr>
        <td>15/13<br />
</td>
        <td>123.871<br />
</td>
    </tr>
    <tr>
        <td>13/10<br />
</td>
        <td>124.298<br />
</td>
    </tr>
    <tr>
        <td>4/3<br />
</td>
        <td>124.511 (7 and 9 limit minimax)<br />
</td>
    </tr>
    <tr>
        <td>30517578125/26795786661<br />
</td>
        <td>125.469 (7 limit least squares)<br />
</td>
    </tr>
    <tr>
        <td>|0 63 -26 -1&gt;<br />
</td>
        <td>125.579 (9 limit least squares)<br />
</td>
    </tr>
    <tr>
        <td>10/9<br />
</td>
        <td>125.673<br />
</td>
    </tr>
    <tr>
        <td>11337408/9765625<br />
</td>
        <td>126.238 (5 limit least squares)<br />
</td>
    </tr>
    <tr>
        <td>6/5<br />
</td>
        <td>126.337 (5 limit minimax)<br />
</td>
    </tr>
    <tr>
        <td>18/13<br />
</td>
        <td>127.324<br />
</td>
    </tr>
    <tr>
        <td>9/7<br />
</td>
        <td>127.486<br />
</td>
    </tr>
    <tr>
        <td>14/13<br />
</td>
        <td>128.298<br />
</td>
    </tr>
    <tr>
        <td>5/4<br />
</td>
        <td>128.771<br />
</td>
    </tr>
    <tr>
        <td>11/9<br />
</td>
        <td>128.951 (11, 13 and 15 limit minimax)<br />
</td>
    </tr>
    <tr>
        <td>13/11<br />
</td>
        <td>130.113<br />
</td>
    </tr>
    <tr>
        <td>14/11<br />
</td>
        <td>130.415<br />
</td>
    </tr>
    <tr>
        <td>12/11<br />
</td>
        <td>131.170<br />
</td>
    </tr>
    <tr>
        <td>15/11<br />
</td>
        <td>132.610<br />
</td>
    </tr>
    <tr>
        <td>7/6<br />
</td>
        <td>133.435<br />
</td>
    </tr>
    <tr>
        <td>11/8<br />
</td>
        <td>137.829<br />
</td>
    </tr>
    <tr>
        <td>13/12<br />
</td>
        <td>138.573<br />
</td>
    </tr>
    <tr>
        <td>11/10<br />
</td>
        <td>165.004<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Tuning Spectra-Spectrum of Negroni Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:8 -->Spectrum of Negroni Tunings by Eigenmonzos</h2>
 <br />
Gencom: [2 15/14; 49/48 55/54 65/64 91/90]<br />
Gencom map: [&lt;1 2 2 3 5 4|, &lt;0 -4 3 -2 -15 -3|]<br />


<table class="wiki_table">
    <tr>
        <th>Eigenmonzo<br />
</th>
        <th>Supersecor<br />
</th>
    </tr>
    <tr>
        <td>16/15<br />
</td>
        <td>111.731<br />
</td>
    </tr>
    <tr>
        <td>8/7<br />
</td>
        <td>115.587<br />
</td>
    </tr>
    <tr>
        <td>15/14<br />
</td>
        <td>119.443<br />
</td>
    </tr>
    <tr>
        <td>16/13<br />
</td>
        <td>119.824<br />
</td>
    </tr>
    <tr>
        <td>11/9<br />
</td>
        <td>121.799 (11, 13 and 15 limit minimax)<br />
</td>
    </tr>
    <tr>
        <td>12/11<br />
</td>
        <td>122.785<br />
</td>
    </tr>
    <tr>
        <td>11/8<br />
</td>
        <td>123.245<br />
</td>
    </tr>
    <tr>
        <td>7/5<br />
</td>
        <td>123.498<br />
</td>
    </tr>
    <tr>
        <td>15/13<br />
</td>
        <td>123.871<br />
</td>
    </tr>
    <tr>
        <td>15/11<br />
</td>
        <td>124.068<br />
</td>
    </tr>
    <tr>
        <td>13/11<br />
</td>
        <td>124.101<br />
</td>
    </tr>
    <tr>
        <td>11/10<br />
</td>
        <td>124.166<br />
</td>
    </tr>
    <tr>
        <td>13/10<br />
</td>
        <td>124.298<br />
</td>
    </tr>
    <tr>
        <td>14/11<br />
</td>
        <td>124.424<br />
</td>
    </tr>
    <tr>
        <td>4/3<br />
</td>
        <td>124.511 (7 and 9 limit minimx)<br />
</td>
    </tr>
    <tr>
        <td>30517578125/26795786661<br />
</td>
        <td>125.469 (7 limit least squares)<br />
</td>
    </tr>
    <tr>
        <td>|0 63 -26 -1&gt;<br />
</td>
        <td>125.579 (9 limit least squares)<br />
</td>
    </tr>
    <tr>
        <td>10/9<br />
</td>
        <td>125.673<br />
</td>
    </tr>
    <tr>
        <td>11337408/9765625<br />
</td>
        <td>126.238 (5 limit least squares)<br />
</td>
    </tr>
    <tr>
        <td>6/5<br />
</td>
        <td>126.337 (5 limit minimax)<br />
</td>
    </tr>
    <tr>
        <td>18/13<br />
</td>
        <td>127.324<br />
</td>
    </tr>
    <tr>
        <td>9/7<br />
</td>
        <td>127.486<br />
</td>
    </tr>
    <tr>
        <td>14/13<br />
</td>
        <td>128.298<br />
</td>
    </tr>
    <tr>
        <td>5/4<br />
</td>
        <td>128.771<br />
</td>
    </tr>
    <tr>
        <td>7/6<br />
</td>
        <td>133.435<br />
</td>
    </tr>
    <tr>
        <td>13/12<br />
</td>
        <td>138.573<br />
</td>
    </tr>
</table>

</body></html>