Miracle extensions: Difference between revisions

Revision as of 13:35, 9 November 2012

IMPORTED REVISION FROM WIKISPACES

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This revision was by author genewardsmith and made on 2012-11-09 13:35:49 UTC.

The original revision id was 380906060.

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Original Wikitext content:

The basic 7-limit [[miracle]] temperament has various extensions to the 11 and 13 limits.

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

Gencom: [2 15/14; 105/104 144/143 196/195 275/273]
Gencom map: [<1 1 3 3 2 4|, <0 6 -7 -2 15 -3|]
||~ Eigenmonzo ||~ Secor ||
|| 16/15 || 111.731 ||
|| 13/10 || 113.553 ||
|| 8/7 || 115.587 ||
|| 11/9 || 115.803 ||
|| 5/4 || 116.241 ||
|| 15/11 || 116.441 ||
|| 7/5 || 116.502 ||
|| 6/5 || 116.588 ||
|| 11/10 || 116.591 ||
|| 12/11 || 116.596 ||
|| 14/11 || 116.617 ||
|| 7/6 || 116.641 ||
|| 10/9 || 116.716 ||
|| 11/8 || 116.755 ||
|| 9/7 || 116.792 ||
|| 4/3 || 116.993 ||
|| 13/11 || 117.266 ||
|| 18/13 || 117.559 ||
|| 13/12 || 117.936 ||
|| 15/14 || 119.443 ||
|| 16/13 || 119.824 ||
|| 15/13 || 123.871 ||
|| 14/13 || 128.298 ||

==Spectrum of Benediction Tunings by Eigenmonzos== 

Gencom: [2 15/14 225/224 243/242 351/350 441/440]
Gencom map: [<1 1 3 3 2 7|, <0 6 -7 -2 15 -34|]
||~ Eigenmonzo ||~ Secor ||
|| 16/15 || 111.731 ||
|| 8/7 || 115.587 ||
|| 11/9 || 115.803 ||
|| 5/4 || 116.241 ||
|| 15/11 || 116.441 ||
|| 16/13 || 116.455 ||
|| 7/5 || 116.502 ||
|| 14/13 || 116.509 ||
|| 13/10 || 116.511 ||
|| 13/12 || 116.536 ||
|| 13/11 || 116.547 ||
|| 6/5 || 116.588 ||
|| 11/10 || 116.591 ||
|| 18/13 || 116.595 ||
|| 12/11 || 116.596 ||
|| 15/13 || 116.598 ||
|| 14/11 || 116.617 ||
|| 7/6 || 116.641 ||
|| 10/9 || 116.716 ||
|| 11/8 || 116.755 ||
|| 9/7 || 116.792 ||
|| 4/3 || 116.993 ||
|| 15/14 || 119.443 ||

==Spectrum of Manna Tunings by Eigenmonzos== 

Gencom: [2 15/14; 225/224 243/242 325/324 385/384]
Gencom map: [<1 1 3 3 2 0|, <0 6 -7 -2 15 38|]
||~ Eigenmonzo ||~ Secor ||
|| 16/15 || 111.731 ||
|| 8/7 || 115.587 ||
|| 11/9 || 115.803 ||
|| 5/4 || 116.241 ||
|| 15/11 || 116.441 ||
|| 7/5 || 116.502 ||
|| 6/5 || 116.588 ||
|| 11/10 || 116.591 ||
|| 12/11 || 116.596 ||
|| 14/11 || 116.617 ||
|| 7/6 || 116.641 ||
|| 10/9 || 116.716 ||
|| 15/13 || 116.725 ||
|| 11/8 || 116.755 ||
|| 13/10 || 116.760 ||
|| 9/7 || 116.792 ||
|| 14/13 || 116.793 ||
|| 18/13 || 116.793 ||
|| 13/12 || 116.830 ||
|| 16/13 || 116.856 ||
|| 13/11 || 116.922 ||
|| 4/3 || 116.993 ||
|| 15/14 || 119.443 ||

==Spectrum of Revelation Tunings by Eigenmonzos== 

Gencom: 
Gencom map: 
||~ Eigenmonzo ||~ Secor ||

Original HTML content:

<html><head><title>Miracle extensions</title></head><body>The basic 7-limit <a class="wiki_link" href="/miracle">miracle</a> temperament has various extensions to the 11 and 13 limits.<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 Miraculous Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:2 -->Spectrum of Miraculous Tunings by Eigenmonzos</h2>
 <br />
Gencom: [2 15/14; 105/104 144/143 196/195 275/273]<br />
Gencom map: [&lt;1 1 3 3 2 4|, &lt;0 6 -7 -2 15 -3|]<br />


<table class="wiki_table">
    <tr>
        <th>Eigenmonzo<br />
</th>
        <th>Secor<br />
</th>
    </tr>
    <tr>
        <td>16/15<br />
</td>
        <td>111.731<br />
</td>
    </tr>
    <tr>
        <td>13/10<br />
</td>
        <td>113.553<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>5/4<br />
</td>
        <td>116.241<br />
</td>
    </tr>
    <tr>
        <td>15/11<br />
</td>
        <td>116.441<br />
</td>
    </tr>
    <tr>
        <td>7/5<br />
</td>
        <td>116.502<br />
</td>
    </tr>
    <tr>
        <td>6/5<br />
</td>
        <td>116.588<br />
</td>
    </tr>
    <tr>
        <td>11/10<br />
</td>
        <td>116.591<br />
</td>
    </tr>
    <tr>
        <td>12/11<br />
</td>
        <td>116.596<br />
</td>
    </tr>
    <tr>
        <td>14/11<br />
</td>
        <td>116.617<br />
</td>
    </tr>
    <tr>
        <td>7/6<br />
</td>
        <td>116.641<br />
</td>
    </tr>
    <tr>
        <td>10/9<br />
</td>
        <td>116.716<br />
</td>
    </tr>
    <tr>
        <td>11/8<br />
</td>
        <td>116.755<br />
</td>
    </tr>
    <tr>
        <td>9/7<br />
</td>
        <td>116.792<br />
</td>
    </tr>
    <tr>
        <td>4/3<br />
</td>
        <td>116.993<br />
</td>
    </tr>
    <tr>
        <td>13/11<br />
</td>
        <td>117.266<br />
</td>
    </tr>
    <tr>
        <td>18/13<br />
</td>
        <td>117.559<br />
</td>
    </tr>
    <tr>
        <td>13/12<br />
</td>
        <td>117.936<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>15/13<br />
</td>
        <td>123.871<br />
</td>
    </tr>
    <tr>
        <td>14/13<br />
</td>
        <td>128.298<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Tuning Spectra-Spectrum of Benediction Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:4 -->Spectrum of Benediction Tunings by Eigenmonzos</h2>
 <br />
Gencom: [2 15/14 225/224 243/242 351/350 441/440]<br />
Gencom map: [&lt;1 1 3 3 2 7|, &lt;0 6 -7 -2 15 -34|]<br />


<table class="wiki_table">
    <tr>
        <th>Eigenmonzo<br />
</th>
        <th>Secor<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>5/4<br />
</td>
        <td>116.241<br />
</td>
    </tr>
    <tr>
        <td>15/11<br />
</td>
        <td>116.441<br />
</td>
    </tr>
    <tr>
        <td>16/13<br />
</td>
        <td>116.455<br />
</td>
    </tr>
    <tr>
        <td>7/5<br />
</td>
        <td>116.502<br />
</td>
    </tr>
    <tr>
        <td>14/13<br />
</td>
        <td>116.509<br />
</td>
    </tr>
    <tr>
        <td>13/10<br />
</td>
        <td>116.511<br />
</td>
    </tr>
    <tr>
        <td>13/12<br />
</td>
        <td>116.536<br />
</td>
    </tr>
    <tr>
        <td>13/11<br />
</td>
        <td>116.547<br />
</td>
    </tr>
    <tr>
        <td>6/5<br />
</td>
        <td>116.588<br />
</td>
    </tr>
    <tr>
        <td>11/10<br />
</td>
        <td>116.591<br />
</td>
    </tr>
    <tr>
        <td>18/13<br />
</td>
        <td>116.595<br />
</td>
    </tr>
    <tr>
        <td>12/11<br />
</td>
        <td>116.596<br />
</td>
    </tr>
    <tr>
        <td>15/13<br />
</td>
        <td>116.598<br />
</td>
    </tr>
    <tr>
        <td>14/11<br />
</td>
        <td>116.617<br />
</td>
    </tr>
    <tr>
        <td>7/6<br />
</td>
        <td>116.641<br />
</td>
    </tr>
    <tr>
        <td>10/9<br />
</td>
        <td>116.716<br />
</td>
    </tr>
    <tr>
        <td>11/8<br />
</td>
        <td>116.755<br />
</td>
    </tr>
    <tr>
        <td>9/7<br />
</td>
        <td>116.792<br />
</td>
    </tr>
    <tr>
        <td>4/3<br />
</td>
        <td>116.993<br />
</td>
    </tr>
    <tr>
        <td>15/14<br />
</td>
        <td>119.443<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Tuning Spectra-Spectrum of Manna Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:6 -->Spectrum of Manna Tunings by Eigenmonzos</h2>
 <br />
Gencom: [2 15/14; 225/224 243/242 325/324 385/384]<br />
Gencom map: [&lt;1 1 3 3 2 0|, &lt;0 6 -7 -2 15 38|]<br />


<table class="wiki_table">
    <tr>
        <th>Eigenmonzo<br />
</th>
        <th>Secor<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>5/4<br />
</td>
        <td>116.241<br />
</td>
    </tr>
    <tr>
        <td>15/11<br />
</td>
        <td>116.441<br />
</td>
    </tr>
    <tr>
        <td>7/5<br />
</td>
        <td>116.502<br />
</td>
    </tr>
    <tr>
        <td>6/5<br />
</td>
        <td>116.588<br />
</td>
    </tr>
    <tr>
        <td>11/10<br />
</td>
        <td>116.591<br />
</td>
    </tr>
    <tr>
        <td>12/11<br />
</td>
        <td>116.596<br />
</td>
    </tr>
    <tr>
        <td>14/11<br />
</td>
        <td>116.617<br />
</td>
    </tr>
    <tr>
        <td>7/6<br />
</td>
        <td>116.641<br />
</td>
    </tr>
    <tr>
        <td>10/9<br />
</td>
        <td>116.716<br />
</td>
    </tr>
    <tr>
        <td>15/13<br />
</td>
        <td>116.725<br />
</td>
    </tr>
    <tr>
        <td>11/8<br />
</td>
        <td>116.755<br />
</td>
    </tr>
    <tr>
        <td>13/10<br />
</td>
        <td>116.760<br />
</td>
    </tr>
    <tr>
        <td>9/7<br />
</td>
        <td>116.792<br />
</td>
    </tr>
    <tr>
        <td>14/13<br />
</td>
        <td>116.793<br />
</td>
    </tr>
    <tr>
        <td>18/13<br />
</td>
        <td>116.793<br />
</td>
    </tr>
    <tr>
        <td>13/12<br />
</td>
        <td>116.830<br />
</td>
    </tr>
    <tr>
        <td>16/13<br />
</td>
        <td>116.856<br />
</td>
    </tr>
    <tr>
        <td>13/11<br />
</td>
        <td>116.922<br />
</td>
    </tr>
    <tr>
        <td>4/3<br />
</td>
        <td>116.993<br />
</td>
    </tr>
    <tr>
        <td>15/14<br />
</td>
        <td>119.443<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Tuning Spectra-Spectrum of Revelation Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:8 -->Spectrum of Revelation Tunings by Eigenmonzos</h2>
 <br />
Gencom: <br />
Gencom map: <br />


<table class="wiki_table">
    <tr>
        <th>Eigenmonzo<br />
</th>
        <th>Secor<br />
</th>
    </tr>
</table>

</body></html>

Miracle extensions: Difference between revisions

Revision as of 13:35, 9 November 2012

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

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